id
stringlengths 25
25
| question
stringlengths 45
1.01k
| chain
stringlengths 75
4.11k
| result
stringclasses 5
values | result_float
float64 -4,212
100B
| question_without_options
stringlengths 6
962
| options
dict | annotated_formula
stringlengths 7
6.48k
| linear_formula
stringlengths 8
925
| rationale
stringlengths 1
2.74k
| category
stringclasses 6
values |
|---|---|---|---|---|---|---|---|---|---|---|
math_qa__Rtpl7jJmVso4Fsd9
|
The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is : Choose the correct choice from the following answers: A) 124 m 2 B) 128 m 2 C) 138 m 2 D) 148 m 2 E) none of these
|
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 21</gadget>
<output>25</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">25 * 16</gadget>
<output>400</output>
<gadget id="calculator">21 * 12</gadget>
<output>252</output>
<gadget id="calculator">400 - 252</gadget>
<output>148</output>
<result>D</result>
|
D
| 148 |
The floor of a rectangular room is 21 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
|
{
"A": "124 m 2",
"B": "128 m 2",
"C": "138 m 2",
"D": "148 m 2",
"E": "none of these"
}
|
subtract(rectangle_area(add(multiply(2, 2), 21), add(12, multiply(2, 2))), rectangle_area(21, 12))
|
multiply(n2,n2)|rectangle_area(n0,n1)|add(n0,#0)|add(n1,#0)|rectangle_area(#2,#3)|subtract(#4,#1)|
|
"area of the outer rectangle = 25 ã — 16 = 400 m 2 area of the inner rectangle = 21 ã — 12 = 252 m 2 required area = ( 400 â € “ 252 ) = 148 m 2 answer d"
|
geometry
|
math_qa__lQqaYp8uxsXUIGs5
|
Two bullet trains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction? Select:
A) 11 sec . B) 15 sec . C) 13.3 sec . D) 17 sec . E) 19 sec .
|
<gadget id="calculator">120 + 120</gadget>
<output>240</output>
<gadget id="calculator">120 / 10</gadget>
<output>12</output>
<gadget id="calculator">120 / 20</gadget>
<output>6</output>
<gadget id="calculator">12 + 6</gadget>
<output>18</output>
<gadget id="calculator">240 / 18</gadget>
<output>40/3 = around 13.333333</output>
<result>C</result>
|
C
| 13.3 |
Two bullet trains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. If the length of each bullet train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
|
{
"A": "11 sec .",
"B": "15 sec .",
"C": "13.3 sec .",
"D": "17 sec .",
"E": "19 sec ."
}
|
divide(add(120, 120), add(speed(120, 10), speed(120, 20)))
|
add(n2,n2)|speed(n2,n0)|speed(n2,n1)|add(#1,#2)|divide(#0,#3)|
|
"speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 20 m / sec = 6 m / sec . relative speed = ( 12 + 6 ) = 18 m / sec . required time = ( 120 + 120 ) / 18 sec = 13.3 sec . c"
|
physics
|
math_qa__Zkfkvvzm9wCAz7Ei
|
The length of a rectangular landscape is 8 times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/6rd of the total landscape. What is the length of the landscape? Select
A) 180 B) 270 C) 340 D) 140 E) 240
|
<gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calculator">24 * 10</gadget>
<output>240</output>
<result>E</result>
|
E
| 240 |
The length of a rectangular landscape is 8 times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/6rd of the total landscape. What is the length of the landscape?
|
{
"A": "180",
"B": "270",
"C": "340",
"D": "140",
"E": "240"
}
|
multiply(multiply(const_4.0, 6), const_10)
|
multiply(const_4.0,n3)|multiply(#0,const_10)|
|
"sol . x * 8 x = 6 * 1200 x = 30 length = 8 * 30 = 240 e"
|
geometry
|
math_qa__6xZBZP9yv8IaUhcO
|
Ratio and proportion
215:474::537:?
Pick one
A) 26 B) 27 C) 25 D) 22 E) 23
|
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">6 + 20</gadget>
<output>26</output>
<result>A</result>
|
A
| 26 |
Ratio and proportion
215:474::537:?
|
{
"A": "26",
"B": "27",
"C": "25",
"D": "22",
"E": "23"
}
|
add(add(const_4, const_2), add(const_10, const_10))
|
add(const_2,const_4)|add(const_10,const_10)|add(#0,#1)
|
2 + 1 + 5 + 4 + 7 + 4 = 23 5 + 3 + 7 + x = 23 = > x = 8 combination that match 8 is 26 since 2 + 6 = 8 answer : a
|
other
|
math_qa__mku9bjzH4Ha7ctwq
|
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $288 per week. How much does she earn in dollars per hour?
Choose the correct answer.
A) 11 B) 10 C) 9 D) 8 E) 7
|
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">24 + 12</gadget>
<output>36</output>
<gadget id="calculator">288 / 36</gadget>
<output>8</output>
<result>D</result>
|
D
| 8 |
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $288 per week. How much does she earn in dollars per hour?
|
{
"A": "11",
"B": "10",
"C": "9",
"D": "8",
"E": "7"
}
|
divide(288, add(multiply(8, const_3), multiply(6, const_2)))
|
multiply(n0,const_3)|multiply(n1,const_2)|add(#0,#1)|divide(n2,#2)|
|
"let sheila earn x dollars per hour so , on monday , wednesday and friday , she earns 8 x each and , on tuesday and thursday , she earns 6 x each in total , over the week she should earn , 3 ( 8 x ) + 2 ( 6 x ) = 36 x she earns $ 288 per week 36 x = 288 x = 8 correct option : d"
|
physics
|
math_qa__oFW7WNDUzHM4pjys
|
An offshore company sells two products, L and M. Last year, seventy percent of the units sold were product L, and the price of product L was 25 percent greater than the price of product M. Approximately what percent of the total revenue the company received last year was from the sale of product L? Choose the correct choice from the following options:
A) 15 %
B) 25 %
C) 35 %
D) 65 %
E) 74 %
|
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 * 10</gadget>
<output>70</output>
<gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">30 * (3/4)</gadget>
<output>45/2 = around 22.5</output>
<gadget id="calculator">(45/2) + 70</gadget>
<output>185/2 = around 92.5</output>
<gadget id="calculator">70 / (185/2)</gadget>
<output>28/37 = around 0.756757</output>
<gadget id="calculator">(28/37) * 100</gadget>
<output>2_800/37 = around 75.675676</output>
<result>E</result>
|
E
| 74 |
An offshore company sells two products, L and M. Last year, seventy percent of the units sold were product L, and the price of product L was 25 percent greater than the price of product M. Approximately what percent of the total revenue the company received last year was from the sale of product L?
|
{
"A": "15 %",
"B": "25 %",
"C": "35 %",
"D": "65 %",
"E": "74 %"
}
|
multiply(divide(multiply(add(const_3, const_4), const_10), add(multiply(subtract(const_100, multiply(add(const_3, const_4), const_10)), subtract(const_1, divide(25, const_100))), multiply(add(const_3, const_4), const_10))), const_100)
|
add(const_3,const_4)|divide(n0,const_100)|multiply(#0,const_10)|subtract(const_1,#1)|subtract(const_100,#2)|multiply(#4,#3)|add(#5,#2)|divide(#2,#6)|multiply(#7,const_100)
|
percentage of total units that is product l = 70 % price of product l = 25 percent greater than price of product m . now , we can consider this as a weighted average scenario . if the price of both the products l and m was equal , then contribution of product l to total sales would be = 70 % but since , price of product l is greater than m , then contribution of product l to total sales will be greater than 70 % the only option is 74 % answer e
|
general
|
math_qa__0hRA7F1fEtN3oMLE
|
In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 90%, what was the average score for the entire class? Choices.
A) 65 % B) 67 % C) 69 % D) 72 % E) 75 %
|
<gadget id="calculator">70 * 60</gadget>
<output>4_200</output>
<gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">90 * 30</gadget>
<output>2_700</output>
<gadget id="calculator">4_200 + 2_700</gadget>
<output>6_900</output>
<gadget id="calculator">6_900 / 100</gadget>
<output>69</output>
<result>C</result>
|
C
| 69 |
In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 90%, what was the average score for the entire class?
|
{
"A": "65 %",
"B": "67 %",
"C": "69 %",
"D": "72 %",
"E": "75 %"
}
|
divide(add(multiply(70, 60), multiply(90, subtract(100, 70))), 100)
|
multiply(n1,n2)|subtract(n0,n1)|multiply(n3,#1)|add(#0,#2)|divide(#3,n0)|
|
"70 % of the class scored 60 % and 30 % of the class scored 90 % . the difference between 60 % and 90 % is 30 % . the average will be 60 % + 0.3 ( 30 % ) = 69 % . the answer is c ."
|
general
|
math_qa__4s1Im9HYCw2niWio
|
Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds? Choose the correct choice from the following answers:
A) 1 : 7 B) 8 : 7 C) 6 : 7 D) 6 : 5 E) 4 : 7
|
<gadget id="calculator">33 - 31</gadget>
<output>2</output>
<gadget id="calculator">47 - 33</gadget>
<output>14</output>
<gadget id="calculator">2 / 14</gadget>
<output>1/7 = around 0.142857</output>
<result>A</result>
|
A
| 0.142857 |
Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?
|
{
"A": "1 : 7",
"B": "8 : 7",
"C": "6 : 7",
"D": "6 : 5",
"E": "4 : 7"
}
|
divide(subtract(33, 31), subtract(47, 33))
|
subtract(n2,n1)|subtract(n0,n2)|divide(#0,#1)
|
explanation : let the speed of the trains be x and y respectively length of train 1 = 47 x length of train 2 = 31 y relative speed = x + y time taken to cross each other = 33 s = > = 33 = > ( 47 x + 31 y ) = 33 ( x + y ) = > 14 x = 2 y = > x / y = 2 / 14 = 1 / 7 = 1 : 7 answer : a
|
physics
|
math_qa__JpL9YE4IfxqPFSyU
|
If 25% of a class averages 80% on a test, 50% of the class averages 65% on the test, and the remainder of the class averages 90% on the test, what is the overall class average? Pick one: A) 60 % B) 65 % C) 70 % D) 75 % E) 80 %
|
<gadget id="calculator">25 * 80</gadget>
<output>2_000</output>
<gadget id="calculator">50 * 65</gadget>
<output>3_250</output>
<gadget id="calculator">2_000 + 3_250</gadget>
<output>5_250</output>
<gadget id="calculator">25 + 50</gadget>
<output>75</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">25 * 90</gadget>
<output>2_250</output>
<gadget id="calculator">5_250 + 2_250</gadget>
<output>7_500</output>
<gadget id="calculator">7_500 / 100</gadget>
<output>75</output>
<result>D</result>
|
D
| 75 |
If 25% of a class averages 80% on a test, 50% of the class averages 65% on the test, and the remainder of the class averages 90% on the test, what is the overall class average?
|
{
"A": "60 %",
"B": "65 %",
"C": "70 %",
"D": "75 %",
"E": "80 %"
}
|
divide(add(add(multiply(25, 80), multiply(50, 65)), multiply(subtract(const_100, add(25, 50)), 90)), const_100)
|
add(n0,n2)|multiply(n0,n1)|multiply(n2,n3)|add(#1,#2)|subtract(const_100,#0)|multiply(n4,#4)|add(#3,#5)|divide(#6,const_100)|
|
"this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 25 % - 50 % = 25 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.25 x 80 + 0.50 x 65 + 0.25 x 90 = 75 the class average is 75 % final answer d ) 75 %"
|
general
|
math_qa__BuWSz2tZrR3d8NDn
|
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord S, in feet? Choose the correct choice from the following answers:
A) 30
B) 25
C) 15
D) 10
E) 5
|
<gadget id="calculator">30 / 3</gadget>
<output>10</output>
<result>D</result>
|
D
| 10 |
A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord S, in feet?
|
{
"A": "30",
"B": "25",
"C": "15",
"D": "10",
"E": "5"
}
|
divide(30, const_3)
|
divide(n0,const_3)|
|
"because the cord was extended to its full length at all items , the dog ran along a semi - circular path , from north to south . the circumference of a full circle is 2 * pi * r , but since we only care about the length of half the circle , the semi - circle path is pi * r . s = pi * r = 30 . round pi = 3 , then r = 10 . chord is about 10 feet long . d"
|
general
|
math_qa__DyvQxRLTZq1M5zkP
|
how many 4 digit numbers have no repeat digits , do not contain zero , and have a sum of digits d equal to 28 ? Choose the correct choice from the following options:
A) 14
B) 24
C) 28
D) 48
E) 96
|
<gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">24 * 4</gadget>
<output>96</output>
<gadget id="calculator">96 / 2</gadget>
<output>48</output>
<result>D</result>
|
D
| 48 |
how many 4 digit numbers have no repeat digits , do not contain zero , and have a sum of digits d equal to 28 ?
|
{
"A": "14",
"B": "24",
"C": "28",
"D": "48",
"E": "96"
}
|
divide(multiply(factorial(const_4), 4), const_2)
|
factorial(const_4)|multiply(n0,#0)|divide(#1,const_2)
|
first , look for all 4 digits without repeat that add up to 28 . to avoid repetition , start with the highest numbers first . start from the largest number possible 9874 . then the next largest number possible is 9865 . after this , you ' ll realize no other solution . clearly the solution needs to start with a 9 ( cuz otherwise 8765 is the largest possible , but only equals 26 ) . with a 9 , you also need an 8 ( cuz otherwise 9765 is the largest possible , but only equals 27 ) . with 98 __ only 74 and 65 work . so you have two solutions . each can be rearranged in 4 ! = 24 ways . so d = 24 + 24 = 48 . d
|
general
|
math_qa__us6gCGD0O3W1mMtB
|
A basket contains 8 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple? Choose the correct choice from the following answers: A) 1 / 2 B) 1 / 3 C) 1 / 4 D) 1 / 5 E) 1 / 6
|
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">binomial(7, 1)</gadget>
<output>7</output>
<gadget id="calculator">binomial(8, 2)</gadget>
<output>28</output>
<gadget id="calculator">7 / 28</gadget>
<output>1/4 = around 0.25</output>
<result>C</result>
|
C
| 0.25 |
A basket contains 8 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
|
{
"A": "1 / 2",
"B": "1 / 3",
"C": "1 / 4",
"D": "1 / 5",
"E": "1 / 6"
}
|
divide(choose(subtract(8, 1), 1), choose(8, 2))
|
choose(n0,n2)|subtract(n0,n1)|choose(#1,n1)|divide(#2,#0)|
|
"the total number of ways to choose 2 apples is 8 c 2 = 28 the number of ways that include the spoiled apple is 7 c 1 = 7 p ( the spoiled apple is included ) = 7 / 28 = 1 / 4 the answer is c ."
|
probability
|
math_qa__u6KVCK2rLINmoycm
|
A train is 460 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Choose the correct choice from the following:
A) 20 seconds
B) 30 seconds
C) 40 seconds
D) 48 seconds
E) none of these
|
<gadget id="calculator">460 + 140</gadget>
<output>600</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">600 / (25/2)</gadget>
<output>48</output>
<result>D</result>
|
D
| 48 |
A train is 460 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
|
{
"A": "20 seconds",
"B": "30 seconds",
"C": "40 seconds",
"D": "48 seconds",
"E": "none of these"
}
|
divide(add(460, 140), divide(multiply(45, const_1000), const_3600))
|
add(n0,n2)|multiply(n1,const_1000)|divide(#1,const_3600)|divide(#0,#2)|
|
"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 460 + 140 = 600 meter time = distance / speed = 600 ∗ 2 / 25 = 48 seconds option d"
|
physics
|
math_qa__sQKvkv5J0gE0HErf
|
Of the 645 speckled trout in a certain fishery that contains only speckled and rainbow trout, the number of males is 45 more than twice the number of females. If the ratio of female speckled trout to male rainbow trout is 4:3 and the ratio of male rainbow trout to all trout is 3:20, how many female rainbow trout are there?
Choose the correct choice from the following:
A) 192 B) 195 C) 200 D) 205 E) 208
|
<gadget id="calculator">645 - 45</gadget>
<output>600</output>
<gadget id="calculator">600 / 3</gadget>
<output>200</output>
<gadget id="calculator">200 * 3</gadget>
<output>600</output>
<gadget id="calculator">600 / 4</gadget>
<output>150</output>
<gadget id="calculator">150 * 20</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 / 3</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 - 645</gadget>
<output>355</output>
<gadget id="calculator">355 - 150</gadget>
<output>205</output>
<result>D</result>
|
D
| 205 |
Of the 645 speckled trout in a certain fishery that contains only speckled and rainbow trout, the number of males is 45 more than twice the number of females. If the ratio of female speckled trout to male rainbow trout is 4:3 and the ratio of male rainbow trout to all trout is 3:20, how many female rainbow trout are there?
|
{
"A": "192",
"B": "195",
"C": "200",
"D": "205",
"E": "208"
}
|
subtract(subtract(divide(multiply(divide(multiply(divide(subtract(645, 45), const_3), 3), 4), 20), 3), 645), divide(multiply(divide(subtract(645, 45), const_3), 3), 4))
|
subtract(n0,n1)|divide(#0,const_3)|multiply(n3,#1)|divide(#2,n2)|multiply(n5,#3)|divide(#4,n3)|subtract(#5,n0)|subtract(#6,#3)
|
it will be easier if you draw a table for this one . let t be the total trout . total speckled trout ( st ) = 645 if female speckled trout = fst then male speckled trout = 45 + 2 fst therefore 45 + 2 fst + fst = 645 we solve and get fst = 200 and mst = 445 ratio of fst to mrt = 4 : 3 we have fst = 200 solve ratio to get mrt = 150 now ratio of mrt to t = 3 : 20 we have mrt = 150 solve ratio to get t = 1000 now unless youve drawn the table it might get a little complex . from above we have mst and mrt mst + mrt = 445 + 150 = 595 so t - 595 = total female trouts 1000 - 595 = 405 female trouts we have from above that fst = 200 so ( whew ! ) frt = 405 - 200 = 205 answer is d
|
general
|
math_qa__tepkXJS5W8hZrVID
|
Which number should replace both the asterisks in (* /21) x (*/84) = 1 ? Choices: A) 21 B) 42 C) 63 D) 72 E) 168
|
<gadget id="calculator">84 * 21</gadget>
<output>1_764</output>
<gadget id="calculator">1_764 ** (1/2)</gadget>
<output>42</output>
<result>B</result>
|
B
| 42 |
Which number should replace both the asterisks in (* /21) x (*/84) = 1 ?
|
{
"A": "21",
"B": "42",
"C": "63",
"D": "72",
"E": "168"
}
|
sqrt(multiply(84, 21))
|
multiply(n0,n1)|sqrt(#0)|
|
"let ( y / 21 ) x ( y / 84 ) = 1 y ^ 2 = 21 x 84 = 21 x 21 x 4 y = ( 21 x 2 ) = 42 the answer is b ."
|
general
|
math_qa__bdnR2dkI9sdItdYK
|
How much water must be added to 52 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre? Select:
A) 10 litres B) 13 litres C) 15 litres D) 18 litres E) none of these
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">20 / (3/2)</gadget>
<output>40/3 = around 13.333333</output>
<result>B</result>
|
B
| 13 |
How much water must be added to 52 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
|
{
"A": "10 litres",
"B": "13 litres",
"C": "15 litres",
"D": "18 litres",
"E": "none of these"
}
|
divide(20, add(1, divide(1, 2)))
|
divide(n1,n3)|add(n1,#0)|divide(n4,#1)
|
c . p . of 1 litre of milk = ( 20 × 2 ⁄ 3 ) = 40 ⁄ 3 ∴ ratio of water and milk = 8 ⁄ 3 : 32 ⁄ 3 = 8 : 32 = 1 : 4 ∴ quantity of water to be added to 52 litres of milk = ( 1 ⁄ 4 × 52 ) litres = 13 litres . answer b
|
general
|
math_qa__93scaCckD1wvR25T
|
A train 500m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train? Pick.
A) 175 kmph
B) 150 kmph
C) 162 kmph
D) 145 kmph
E) 100 kmph
|
<gadget id="calculator">500 / 10</gadget>
<output>50</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">50 / (5/18)</gadget>
<output>180</output>
<gadget id="calculator">180 - 5</gadget>
<output>175</output>
<result>A</result>
|
A
| 175 |
A train 500m long takes 10 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
|
{
"A": "175 kmph",
"B": "150 kmph",
"C": "162 kmph",
"D": "145 kmph",
"E": "100 kmph"
}
|
subtract(divide(divide(500, 10), const_0_2778), 5)
|
divide(n0,n1)|divide(#0,const_0_2778)|subtract(#1,n2)|
|
"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 500 / [ ( x + 5 ) * 5 / 18 ] = 10 10 ( x + 5 ) = 1800 x = 175 kmph answer is a"
|
physics
|
math_qa__UZsSTsHDzCqy3igb
|
In what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way? Choices.
A) 3 B) 5 C) 4.3 D) 6.5 E) 7.4
|
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">44 * (5/18)</gadget>
<output>110/9 = around 12.222222</output>
<gadget id="calculator">90 / (110/9)</gadget>
<output>81/11 = around 7.363636</output>
<result>E</result>
|
E
| 7.4 |
In what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way?
|
{
"A": "3",
"B": "5",
"C": "4.3",
"D": "6.5",
"E": "7.4"
}
|
divide(90, multiply(44, const_0_2778))
|
multiply(n1,const_0_2778)|divide(n0,#0)|
|
"t = 90 / 44 * 18 / 5 = 7.4 sec answer : e"
|
physics
|
math_qa__v0TaXReGa6ZAfa2X
|
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.72 per kg? Pick one
A) 6 : 1 B) 4 : 7 C) 3 : 7 D) 9 : 5 E) 9 : 8
|
<gadget id="calculator">96 - 72</gadget>
<output>24</output>
<gadget id="calculator">96 - 68</gadget>
<output>28</output>
<gadget id="calculator">24 / 28</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">1 - (6/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(6/7) / (1/7)</gadget>
<output>6</output>
<result>A</result>
|
A
| 6 |
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.72 per kg?
|
{
"A": "6 : 1",
"B": "4 : 7",
"C": "3 : 7",
"D": "9 : 5",
"E": "9 : 8"
}
|
divide(divide(subtract(96, 72), subtract(96, 68)), subtract(const_1, divide(subtract(96, 72), subtract(96, 68))))
|
subtract(n1,n2)|subtract(n1,n0)|divide(#0,#1)|subtract(const_1,#2)|divide(#2,#3)|
|
"( 96 - 72 ) / ( 72 - 68 ) = 24 / 4 = 6 / 1 answer : a"
|
other
|
math_qa__NXHRNf78LS6eCHeG
|
John was 43 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty? Choose the correct choice from the following answers.
A) 24 B) 26 C) 42 D) 30 E) 32
|
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">43 + 4</gadget>
<output>47</output>
<gadget id="calculator">(7/8) * 47</gadget>
<output>329/8 = around 41.125</output>
<result>C</result>
|
C
| 42 |
John was 43 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty?
|
{
"A": "24",
"B": "26",
"C": "42",
"D": "30",
"E": "32"
}
|
multiply(divide(7, 8), add(43, const_4))
|
add(n0,const_4)|divide(n1,n2)|multiply(#0,#1)|
|
"assume betty ' s age on marriage = x years . john ' s age on marriage = 43 john ' s age after 5 years = 48 years . betty ' s age after 5 years = x + 5 given : x + 5 = 7 / 8 ( 48 ) = 42 therefore betty ' s current age = 42 option c"
|
general
|
math_qa__pT4QmjKPnDCQSYe7
|
The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box. Pick one:
A) 259200 cm 3 B) 86400 cm 3 C) 720 cm 3 D) can not be determined E) none of these
|
<gadget id="calculator">60 * 72</gadget>
<output>4_320</output>
<gadget id="calculator">4_320 / 120</gadget>
<output>36</output>
<gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<gadget id="calculator">60 / 6</gadget>
<output>10</output>
<gadget id="calculator">120 / 60</gadget>
<output>2</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">6 * 10 * 12</gadget>
<output>720</output>
<result>C</result>
|
C
| 720 |
The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.
|
{
"A": "259200 cm 3",
"B": "86400 cm 3",
"C": "720 cm 3",
"D": "can not be determined",
"E": "none of these"
}
|
volume_rectangular_prism(sqrt(divide(multiply(60, 72), 120)), divide(60, sqrt(divide(multiply(60, 72), 120))), multiply(divide(120, 60), sqrt(divide(multiply(60, 72), 120))))
|
divide(n0,n2)|multiply(n1,n2)|divide(#1,n0)|sqrt(#2)|divide(n2,#3)|multiply(#0,#3)|volume_rectangular_prism(#4,#5,#3)
|
volume of the box = √ 120 × 72 × 60 = 720 cm 3 answer c
|
geometry
|
math_qa__aIN2Q561sT46ZmQT
|
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 16 miles, how many miles was Mike's ride? Choices: A) 32 B) 36 C) 40 D) 44 E) 48
|
<gadget id="calculator">2.5 + 5</gadget>
<output>7.5</output>
<gadget id="calculator">0.25 * 16</gadget>
<output>4</output>
<gadget id="calculator">7.5 + 4</gadget>
<output>11.5</output>
<gadget id="calculator">11.5 - 2.5</gadget>
<output>9</output>
<gadget id="calculator">9 / 0.25</gadget>
<output>36</output>
<result>B</result>
|
B
| 36 |
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 16 miles, how many miles was Mike's ride?
|
{
"A": "32",
"B": "36",
"C": "40",
"D": "44",
"E": "48"
}
|
divide(subtract(add(add(2.50, 5.00), multiply(0.25, 16)), 2.50), 0.25)
|
add(n0,n3)|multiply(n1,n5)|add(#0,#1)|subtract(#2,n0)|divide(#3,n1)|
|
"the cost of annie ' s ride was 2.5 + 5 + ( 0.25 * 16 ) = $ 11.50 let x be the distance of mike ' s ride . the cost of mike ' s ride is 2.5 + ( 0.25 * x ) = 11.5 0.25 * x = 9 x = 36 miles the answer is b ."
|
general
|
math_qa__z7eiTOvrdNlUNtnt
|
If a man walks at a rate of 5kmph, he misses a train by 7minutes. However, if he walks at the rate of 6kmph, he reaches the station 5minutes before the arrival of the train. Find the distance covered by him to reach the station. Select: A) 8 B) 4 C) 15 D) 6 E) 12
|
<gadget id="calculator">7 / 60</gadget>
<output>7/60 = around 0.116667</output>
<gadget id="calculator">(7/60) * 5</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">5 / 60</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/12) + (1/2)</gadget>
<output>13/12 = around 1.083333</output>
<gadget id="calculator">(13/12) + (7/60)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) * 5</gadget>
<output>6</output>
<result>D</result>
|
D
| 6 |
If a man walks at a rate of 5kmph, he misses a train by 7minutes. However, if he walks at the rate of 6kmph, he reaches the station 5minutes before the arrival of the train. Find the distance covered by him to reach the station.
|
{
"A": "8",
"B": "4",
"C": "15",
"D": "6",
"E": "12"
}
|
multiply(add(add(multiply(divide(7, const_60), 5), multiply(divide(5, const_60), 6)), divide(7, const_60)), 5)
|
divide(n1,const_60)|divide(n0,const_60)|multiply(n0,#0)|multiply(n2,#1)|add(#2,#3)|add(#4,#0)|multiply(n0,#5)
|
let the required distance x km difference in the times taken at two speeds = 12 min = 1 / 5 hr ( x / 5 ) - ( x / 6 ) = 1 / 5 x = 6 the required distance is 6 km answer is d
|
physics
|
math_qa__9Ga8Cg1HBfXDxm3h
|
The milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons) Choose the correct choice:
A) 100
B) 250
C) 750
D) 5812.5
E) 5835.5
|
<gadget id="calculator">62 * 25</gadget>
<output>1_550</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1_550 * (1/2)</gadget>
<output>775</output>
<gadget id="calculator">775 * 7.5</gadget>
<output>5_812.5</output>
<result>D</result>
|
D
| 5,812.5 |
The milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
|
{
"A": "100",
"B": "250",
"C": "750",
"D": "5812.5",
"E": "5835.5"
}
|
multiply(multiply(multiply(62, 25), divide(1, const_2)), 7.5)
|
divide(n3,const_2)|multiply(n0,n1)|multiply(#0,#1)|multiply(n4,#2)|
|
"6 inches = 1 / 2 feet ( there are 12 inches in a foot . ) , so 62 * 25 * 1 / 2 = 775 feet ^ 3 of milk must be removed , which equals to 775 * 7.5 = 5812.5 gallons . answer : d ."
|
general
|
math_qa__KeliwlrGmd4qSK2D
|
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 320 resolutions? Select: A) 724 m B) 704 m C) 287 m D) 450.6 m E) 927 m
|
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">21 + 1</gadget>
<output>22</output>
<gadget id="calculator">22 / 7</gadget>
<output>22/7 = around 3.142857</output>
<gadget id="calculator">(22/7) * 22.4</gadget>
<output>70.4</output>
<gadget id="calculator">70.4 * 2</gadget>
<output>140.8</output>
<gadget id="calculator">140.8 * 320</gadget>
<output>45_056</output>
<gadget id="calculator">45_056 / 100</gadget>
<output>11_264/25 = around 450.56</output>
<result>D</result>
|
D
| 450.6 |
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 320 resolutions?
|
{
"A": "724 m",
"B": "704 m",
"C": "287 m",
"D": "450.6 m",
"E": "927 m"
}
|
divide(multiply(multiply(multiply(divide(add(multiply(add(const_3, const_4), const_3), const_1), add(const_3, const_4)), 22.4), const_2), 320), const_100)
|
add(const_3,const_4)|multiply(#0,const_3)|add(#1,const_1)|divide(#2,#0)|multiply(n0,#3)|multiply(#4,const_2)|multiply(n1,#5)|divide(#6,const_100)|
|
"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 320 resolutions . = 320 * 2 * 22 / 7 * 22.4 = 45056 cm = 450.6 m answer : d"
|
physics
|
math_qa__xccjHRPGE2njZ1HD
|
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 36 kilometers, Maxwell's walking speed is 2 km/h, and Brad's running speed is 4 km/h. What is the distance traveled by Maxwell when they meet in the middle? Choose the correct choice from the following options: A) 10 B) 11 C) 12 D) 13 E) 9
|
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">36 / 6</gadget>
<output>6</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<result>C</result>
|
C
| 12 |
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 36 kilometers, Maxwell's walking speed is 2 km/h, and Brad's running speed is 4 km/h. What is the distance traveled by Maxwell when they meet in the middle?
|
{
"A": "10",
"B": "11",
"C": "12",
"D": "13",
"E": "9"
}
|
multiply(2, divide(36, add(2, 4)))
|
add(n1,n2)|divide(n0,#0)|multiply(n1,#1)|
|
"consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 2 xt = 36 - 4 xt ( i . e distance = speed x time ) = > 6 t = 36 hence t = 6 oa = 2 x 6 = 12 km answer : c"
|
physics
|
math_qa__BBqCnAApXMEzwvfJ
|
If 20% of (x-y) = 15% of (x+y), then what percent of x is y? Choices: A) 50.5 % B) 44.4 % C) 22.2 % D) 14.3 % E) 25 %
|
<gadget id="calculator">20 - 15</gadget>
<output>5</output>
<gadget id="calculator">20 + 15</gadget>
<output>35</output>
<gadget id="calculator">5 / 35</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(1/7) * 100</gadget>
<output>100/7 = around 14.285714</output>
<result>D</result>
|
D
| 14.3 |
If 20% of (x-y) = 15% of (x+y), then what percent of x is y?
|
{
"A": "50.5 %",
"B": "44.4 %",
"C": "22.2 %",
"D": "14.3 %",
"E": "25 %"
}
|
multiply(divide(subtract(20, 15), add(20, 15)), const_100)
|
add(n0,n1)|subtract(n0,n1)|divide(#1,#0)|multiply(#2,const_100)|
|
"20 % of ( x - y ) = 15 % of ( x + y ) 20 / 100 ( x - y ) = 15 / 100 ( x + y ) 5 x = 35 y required percentage = y / x * 100 = 5 y / 35 y * 100 = 14.28 % answer is d"
|
general
|
math_qa__1wg2QHxwNvTCBu0w
|
if a tap could fill entire tank in 18 hrs due to leakage, then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage?
Options:
A) 35 hrs B) 36 hrs C) 37 hrs D) 38 hrs E) 39 hrs
|
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">(1/12) - (1/18)</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">1 / (1/36)</gadget>
<output>36</output>
<result>B</result>
|
B
| 36 |
if a tap could fill entire tank in 18 hrs due to leakage, then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage?
|
{
"A": "35 hrs",
"B": "36 hrs",
"C": "37 hrs",
"D": "38 hrs",
"E": "39 hrs"
}
|
inverse(subtract(divide(const_1, 12), divide(const_1, 18)))
|
divide(const_1,n1)|divide(const_1,n0)|subtract(#0,#1)|inverse(#2)
|
if a tap could fill entire tank in 18 hrs due to leakage , tap can fill entire tank in 12 hrs without leakage . tank emptied in 0 ne hr by leakage = 1 / 12 - 1 / 18 = ( 6 - 4 ) / 72 = 2 / 72 = 1 / 36 . full tank can be emptied in 36 hrs . answer : b
|
general
|
math_qa__76ujWiJWWmC3bsCv
|
What is the percentage increase in the area of a rectangle, if each of its sides is increased by
20 % ? Choose one
A) 42 % B) 43 % C) 45 % D) 44 % E) 46 %
|
<gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 * 120</gadget>
<output>14_400</output>
<gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">14_400 - 10_000</gadget>
<output>4_400</output>
<gadget id="calculator">4_400 / 100</gadget>
<output>44</output>
<result>D</result>
|
D
| 44 |
What is the percentage increase in the area of a rectangle, if each of its sides is increased by
20 % ?
|
{
"A": "42 %",
"B": "43 %",
"C": "45 %",
"D": "44 %",
"E": "46 %"
}
|
divide(subtract(multiply(add(const_100, 20), add(const_100, 20)), multiply(const_100, const_100)), const_100)
|
add(n0,const_100)|multiply(const_100,const_100)|multiply(#0,#0)|subtract(#2,#1)|divide(#3,const_100)
|
let original length = l original breadth = b then original area = lb length is increased by 20 % ⇒ new length = l × 120100 = 1.2 l breadth is increased by 20 % ⇒ new breadth = b × 120100 = 1.2 b new area = 1.2 l × 1.2 b = 1.44 lb increase in area = new area - original area = 1.44 lb − lb = 0.44 lb percentage increase in area = increase in areaoriginal area × 100 = 0.44 lblb × 100 = 44 % answer is d .
|
geometry
|
math_qa__dxnFPxzmWzlOhCQt
|
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 252° of the circle, what percentage of MegaTek employees are in manufacturing? Choose the correct choice from the following choices: A) 20 % B) 25 % C) 30 % D) 35 % E) 70 %
|
<gadget id="calculator">3_600 / 10</gadget>
<output>360</output>
<gadget id="calculator">252 / 360</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) * 100</gadget>
<output>70</output>
<result>E</result>
|
E
| 70 |
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 252° of the circle, what percentage of MegaTek employees are in manufacturing?
|
{
"A": "20 %",
"B": "25 %",
"C": "30 %",
"D": "35 %",
"E": "70 %"
}
|
multiply(divide(252, divide(const_3600, const_10)), const_100)
|
divide(const_3600,const_10)|divide(n0,#0)|multiply(#1,const_100)|
|
"answer : e 252 ° divided by 360 ° equals 0.7 , therefore the sector is equal to 70 % of the total"
|
physics
|
math_qa__OHoVXN1bPGC7xE7n
|
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
Choose the correct choice from the following options:
A) 3 B) 7 C) 8 D) 6 E) 0
|
<gadget id="calculator">100 - 13</gadget>
<output>87</output>
<gadget id="calculator">100 / 87</gadget>
<output>100/87 = around 1.149425</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(100/87) * (9/10)</gadget>
<output>30/29 = around 1.034483</output>
<gadget id="calculator">1 / (30/29)</gadget>
<output>29/30 = around 0.966667</output>
<gadget id="calculator">(29/30) * 180</gadget>
<output>174</output>
<gadget id="calculator">180 - 174</gadget>
<output>6</output>
<result>D</result>
|
D
| 6 |
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
|
{
"A": "3",
"B": "7",
"C": "8",
"D": "6",
"E": "0"
}
|
subtract(180, multiply(inverse(multiply(divide(100, subtract(100, 13)), divide(subtract(100, 10), 100))), 180))
|
subtract(n0,n2)|subtract(n0,n1)|divide(n0,#0)|divide(#1,n0)|multiply(#2,#3)|inverse(#4)|multiply(n3,#5)|subtract(n3,#6)
|
a : b = 100 : 90 . a : c = 100 : 87 . \ inline \ fn _ jvn { \ color { black } \ therefore \ frac { b } { c } = \ left ( \ frac { b } { a } \ times \ frac { a } { c } \ right ) = \ left ( \ frac { 90 } { 100 } \ times \ frac { 100 } { 87 } \ right ) = \ frac { 30 } { 29 } } when b runs 30 m , c runs 29 m . when b runs 180 m , c runs \ inline \ fn _ jvn { \ color { black } \ left ( \ frac { 29 } { 30 } \ times 180 \ right ) m } = 174 m \ inline \ fn _ jvn { \ color { blue } \ therefore } b beats c by ( 180 - 174 ) m = 6 m . answer : d ) 6 m
|
physics
|
math_qa__u2kz2BghNbRCvBSn
|
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (3, 0), (6, 3), and (6, -3)? Options
A) 9 B) 10 C) 11 D) 12 E) 13
|
<gadget id="calculator">(6 * 3) / 2</gadget>
<output>9</output>
<result>A</result>
|
A
| 9 |
In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (3, 0), (6, 3), and (6, -3)?
|
{
"A": "9",
"B": "10",
"C": "11",
"D": "12",
"E": "13"
}
|
triangle_area(6, 3)
|
triangle_area(n0,n2)
|
the triangle is symmetric about the x - axis . the part above the x - axis forms a triangle with a base of 3 and a height of 3 . the area of this part is ( 1 / 2 ) ( 3 ) ( 3 ) . we can double this to find the area of the whole triangle . the total area is ( 2 ) ( 1 / 2 ) ( 3 ) ( 3 ) = 9 . the answer is a .
|
geometry
|
math_qa__KzQdfSOHTJJyqjtJ
|
jill works as a waitress at the local diner where she earns an hourly wage of $ 4.00 per hour and a standard tip rate of 15 % of the cost of the orders she serves . if she worked 3 8 - hour shifts this week and averaged $ 40 in orders per hour , how much did jill earn this week ? Choose the correct choice from the following choices:
A) 280
B) 300
C) 240
D) 350
E) 400
|
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">3 * 8</gadget>
<output>24</output>
<gadget id="calculator">24 * 40</gadget>
<output>960</output>
<gadget id="calculator">(3/20) * 960</gadget>
<output>144</output>
<gadget id="calculator">24 * 4</gadget>
<output>96</output>
<gadget id="calculator">144 + 96</gadget>
<output>240</output>
<result>C</result>
|
C
| 240 |
jill works as a waitress at the local diner where she earns an hourly wage of $ 4.00 per hour and a standard tip rate of 15 % of the cost of the orders she serves . if she worked 3 8 - hour shifts this week and averaged $ 40 in orders per hour , how much did jill earn this week ?
|
{
"A": "280",
"B": "300",
"C": "240",
"D": "350",
"E": "400"
}
|
add(multiply(divide(15, const_100), multiply(multiply(3, 8), 40)), multiply(multiply(3, 8), 4))
|
divide(n1,const_100)|multiply(n2,n3)|multiply(n4,#1)|multiply(n0,#1)|multiply(#0,#2)|add(#4,#3)
|
jill earns 4 dollars / hour and the hourly tip is ( 3 / 20 ) * 40 . jill thus earns 4 * 8 + 8 * 2 * 3 per day ( or 4 ( 8 ) + 6 ( 8 ) = 10 ( 8 ) = 80 ) . jill has worked for 3 days - > 80 * 3 = 240 . this matches answer choice c .
|
general
|
math_qa__NSlcLSJduDPnDWDy
|
If A speaks the truth 85% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Select:
A) 0.49
B) 0.48
C) 0.41
D) 0.482
E) 0.51
|
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 * 5</gadget>
<output>100</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(17/20) * (3/5)</gadget>
<output>51/100 = around 0.51</output>
<result>E</result>
|
E
| 0.51 |
If A speaks the truth 85% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
|
{
"A": "0.49",
"B": "0.48",
"C": "0.41",
"D": "0.482",
"E": "0.51"
}
|
multiply(divide(85, multiply(multiply(const_4, const_5), const_5)), divide(60, multiply(multiply(const_4, const_5), const_5)))
|
multiply(const_4,const_5)|multiply(#0,const_5)|divide(n0,#1)|divide(n1,#1)|multiply(#2,#3)|
|
"explanation : probability that a speaks truth is 85 / 100 = 0.85 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) × p ( b ) = 0.85 × 0.6 = 0.51 answer : e"
|
gain
|
math_qa__qf7NPMEpa1m9WArA
|
There are, in a certain league, 14 teams, and each team face another team for a total of 5 times. How many games are played in the season? Pick
A) 455 B) 525 C) 1400 D) 180 E) 560
|
<gadget id="calculator">14 - 1</gadget>
<output>13</output>
<gadget id="calculator">13 * 5</gadget>
<output>65</output>
<gadget id="calculator">14 / 2</gadget>
<output>7</output>
<gadget id="calculator">65 * 7</gadget>
<output>455</output>
<result>A</result>
|
A
| 455 |
There are, in a certain league, 14 teams, and each team face another team for a total of 5 times. How many games are played in the season?
|
{
"A": "455",
"B": "525",
"C": "1400",
"D": "180",
"E": "560"
}
|
multiply(multiply(subtract(14, const_1), 5), divide(14, const_2))
|
divide(n0,const_2)|subtract(n0,const_1)|multiply(#1,n1)|multiply(#0,#2)|
|
"by using the formula , t [ n ( n - 1 ) / 2 ] , where t = no . of games between two teams and n = total no . of teams , we get : 455 option a ."
|
general
|
math_qa__dCrvCtZBMNRxjtsM
|
10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number? Choose the correct choice from the following options.
A) 21
B) 20
C) 25
D) 30
E) 45
|
<gadget id="calculator">88 / 2</gadget>
<output>44</output>
<gadget id="calculator">44 + 5</gadget>
<output>49</output>
<gadget id="calculator">49 * 5</gadget>
<output>245</output>
<gadget id="calculator">245 / 7</gadget>
<output>35</output>
<gadget id="calculator">35 - 10</gadget>
<output>25</output>
<result>C</result>
|
C
| 25 |
10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?
|
{
"A": "21",
"B": "20",
"C": "25",
"D": "30",
"E": "45"
}
|
subtract(divide(multiply(add(divide(88, const_2), 5), 5), 7), 10)
|
divide(n4,const_2)|add(n2,#0)|multiply(n2,#1)|divide(#2,n1)|subtract(#3,n0)|
|
"let number is x . when 10 added to it , = ( x + 10 ) 7 multiplied to sum , = 7 * ( x + 10 ) now , = [ { 7 * ( x + 10 ) } / 5 ] and , = [ { 7 * ( x + 10 ) } / 5 ] - 5 according to question , [ { 7 * ( x + 10 ) } / 5 ] - 5 = half of 88 [ ( 7 x + 70 ) / 5 ) = 44 + 5 7 x + 70 = 49 * 5 x + 10 = 7 * 5 x + 10 = 35 x = 35 - 10 x = 25 so , required number is : 25 . answer : c"
|
general
|
math_qa__A66oxhs3GAvNvfnS
|
On a certain transatlantic crossing, 25 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets? Choose the correct answer
A) 33.3 % B) 40 % C) 50 % D) 60 % E) 62.5 %
|
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">25 / (2/5)</gadget>
<output>125/2 = around 62.5</output>
<result>E</result>
|
E
| 62.5 |
On a certain transatlantic crossing, 25 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 60 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?
|
{
"A": "33.3 %",
"B": "40 %",
"C": "50 %",
"D": "60 %",
"E": "62.5 %"
}
|
divide(25, divide(subtract(const_100, 60), const_100))
|
subtract(const_100,n1)|divide(#0,const_100)|divide(n0,#1)|
|
"0.25 p = rt + c 0.6 ( rt ) = no c = > 0.40 ( rt ) had c 0.25 p = 0.40 ( rt ) rt / p = 62.5 % answer - e"
|
gain
|
math_qa__xBaqDhLVK0UCD5pk
|
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 10 miles ahead of the black car, how many hours will it take the black car to overtake the red car? Select the correct option.
A) 0.1 B) 0.6 C) 1 D) 1.2 E) 2
|
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<result>C</result>
|
C
| 1 |
Two cars are traveling in the same direction along the same route. The red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. If the red car is 10 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
|
{
"A": "0.1",
"B": "0.6",
"C": "1",
"D": "1.2",
"E": "2"
}
|
divide(10, subtract(50, 40))
|
subtract(n1,n0)|divide(n2,#0)|
|
"option c 10 + 40 t = 50 t t = 1"
|
physics
|
math_qa__6OmEobZGBTnJUFLd
|
The average of 25 results is 19. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
Choose the most appropriate option:
A) 74 B) 75 C) 103 D) 78 E) 45
|
<gadget id="calculator">25 * 19</gadget>
<output>475</output>
<gadget id="calculator">12 * 17</gadget>
<output>204</output>
<gadget id="calculator">475 - 204</gadget>
<output>271</output>
<gadget id="calculator">12 * 14</gadget>
<output>168</output>
<gadget id="calculator">271 - 168</gadget>
<output>103</output>
<result>C</result>
|
C
| 103 |
The average of 25 results is 19. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
|
{
"A": "74",
"B": "75",
"C": "103",
"D": "78",
"E": "45"
}
|
subtract(subtract(multiply(25, 19), multiply(12, 17)), multiply(12, 14))
|
multiply(n0,n1)|multiply(n2,n5)|multiply(n2,n3)|subtract(#0,#1)|subtract(#3,#2)|
|
"solution : sum of 1 st 12 results = 12 * 14 sum of last 12 results = 12 * 17 13 th result = x ( let ) now , 12 * 14 + 12 * 17 + x = 25 * 19 or , x = 103 . answer : option c"
|
general
|
math_qa__h5O26o5PxPU9hU6i
|
In Town P, 70 percent of the population are employed, and 21 percent of the population are employed males. What percent of the employed people in Town P are females? Choose the correct choice from the following answers:
A) 46 %
B) 52 %
C) 58 %
D) 64 %
E) 70 %
|
<gadget id="calculator">70 - 21</gadget>
<output>49</output>
<gadget id="calculator">49 / 70</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) * 100</gadget>
<output>70</output>
<result>E</result>
|
E
| 70 |
In Town P, 70 percent of the population are employed, and 21 percent of the population are employed males. What percent of the employed people in Town P are females?
|
{
"A": "46 %",
"B": "52 %",
"C": "58 %",
"D": "64 %",
"E": "70 %"
}
|
multiply(divide(subtract(70, 21), 70), const_100)
|
subtract(n0,n1)|divide(#0,n0)|multiply(#1,const_100)
|
the percent of the population who are employed females is 70 - 21 = 49 % the percent of employed people who are female is 49 % / 70 % = 70 % . the answer is e .
|
gain
|
math_qa__VMrjBJaRTxGpKzdH
|
mysoon collects glass ornaments . 10 more than 1 / 6 of the ornaments in her collection are handmade , and 1 / 2 of the handmade ornaments are antiques . if 1 / 3 of the ornaments in her collection are handmade antiques , how many ornaments are in her collection ? Choose the correct option
A) 20 B) 60 C) 108 D) 144 E) 180
|
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 - (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">30 / (3/2)</gadget>
<output>20</output>
<result>A</result>
|
A
| 20 |
mysoon collects glass ornaments . 10 more than 1 / 6 of the ornaments in her collection are handmade , and 1 / 2 of the handmade ornaments are antiques . if 1 / 3 of the ornaments in her collection are handmade antiques , how many ornaments are in her collection ?
|
{
"A": "20",
"B": "60",
"C": "108",
"D": "144",
"E": "180"
}
|
divide(multiply(10, 3), subtract(2, divide(3, 6)))
|
divide(n6,n2)|multiply(n0,n6)|subtract(n4,#0)|divide(#1,#2)
|
the number of ornaments = a ten more than 1 / 6 of the ornaments in her collection are handmade = > handmade = 10 + a / 6 1 / 2 of the handmade ornaments are antiques = > handmade ornaments = 1 / 2 * ( 10 + a / 6 ) = 5 + a / 12 1 / 3 of the ornaments in her collection are handmade antiques = > handmade ornaments = a / 3 = > 5 + a / 12 = a / 3 = > a = 200 ans : a
|
general
|
math_qa__2YkkTaAuUHb20YkJ
|
A picnic attracts 240 persons. There are 40 more men than women, and 40 more adults than children. How many men are at this picnic? Options: A) 240 B) 75 C) 110 D) 90 E) 200
|
<gadget id="calculator">240 - 40</gadget>
<output>200</output>
<gadget id="calculator">200 / 2</gadget>
<output>100</output>
<gadget id="calculator">100 + 40</gadget>
<output>140</output>
<gadget id="calculator">140 - 40</gadget>
<output>100</output>
<gadget id="calculator">100 / 2</gadget>
<output>50</output>
<gadget id="calculator">50 + 40</gadget>
<output>90</output>
<result>D</result>
|
D
| 90 |
A picnic attracts 240 persons. There are 40 more men than women, and 40 more adults than children. How many men are at this picnic?
|
{
"A": "240",
"B": "75",
"C": "110",
"D": "90",
"E": "200"
}
|
add(divide(subtract(add(divide(subtract(240, 40), const_2), 40), 40), const_2), 40)
|
subtract(n0,n1)|divide(#0,const_2)|add(n1,#1)|subtract(#2,n1)|divide(#3,const_2)|add(n1,#4)|
|
"adult + children = 240 let , children = y then , adult = y + 40 i . e . y + ( y + 40 ) = 240 i . e . y = 100 i . e . adult = 100 + 40 = 140 adults include only men and women i . e . men + women = 140 let women , w = x then men , m = x + 40 i . e . x + ( x + 40 ) = 2 x + 40 = 140 i . e . x = 54 i . e . men , m = 54 + 40 = 90 answer : option d"
|
general
|
math_qa__EF0kSmpDxt911CYp
|
Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained? Choose the correct answer:
A) 2 : 1
B) 4 : 1
C) 3 : 1
D) 2 : 3
E) 4 : 3
|
<gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">10 / 5</gadget>
<output>2</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 + 7</gadget>
<output>15</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<result>C</result>
|
C
| 3 |
Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
|
{
"A": "2 : 1",
"B": "4 : 1",
"C": "3 : 1",
"D": "2 : 3",
"E": "4 : 3"
}
|
divide(add(multiply(4, divide(add(7, 3), add(4, 1))), 7), add(multiply(1, divide(add(7, 3), add(4, 1))), 3))
|
add(n2,n3)|add(n0,n1)|divide(#0,#1)|multiply(n0,#2)|multiply(n1,#2)|add(n2,#3)|add(n3,#4)|divide(#5,#6)
|
the ratio of milk and water in the new vessel is = ( 4 / 5 + 7 / 10 ) : ( 1 / 5 + 3 / 10 ) = 3 / 2 : 1 / 2 = 3 : 1 answer is c
|
other
|
math_qa__SE26LqGr9ZHGDFmn
|
If X:Y is 1:2 and Y:Z is 2:5 then X:Z is equal to Pick: A) 2 : 5 B) 3 : 5 C) 1 : 5 D) 4 : 5 E) 1 : 3
|
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>C</result>
|
C
| 0.2 |
If X:Y is 1:2 and Y:Z is 2:5 then X:Z is equal to
|
{
"A": "2 : 5",
"B": "3 : 5",
"C": "1 : 5",
"D": "4 : 5",
"E": "1 : 3"
}
|
divide(1, 5)
|
divide(n0,n3)|
|
"the two ratios given are having the same number 2 for y in both the ratios . hence - x : y = 1 : 2 y : z = 2 : 5 = > x : z = 1 : 5 answer c"
|
general
|
math_qa__fXTxUuAyDOS2H0os
|
In a 200 Meter race A beats B by 35 Meters in 7 seconds. A's time over the cause is? Choose the correct choice.
A) 47 sec B) 40 sec C) 45 sec D) 33 sec E) 35 sec
|
<gadget id="calculator">7 / 35</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 200</gadget>
<output>40</output>
<gadget id="calculator">40 - 7</gadget>
<output>33</output>
<result>D</result>
|
D
| 33 |
In a 200 Meter race A beats B by 35 Meters in 7 seconds. A's time over the cause is?
|
{
"A": "47 sec",
"B": "40 sec",
"C": "45 sec",
"D": "33 sec",
"E": "35 sec"
}
|
subtract(multiply(divide(7, 35), 200), 7)
|
divide(n2,n1)|multiply(n0,#0)|subtract(#1,n2)
|
b covers 35 m in 7 seconds b take time = ( 200 * 7 ) / 35 = 40 a takes time = 40 - 7 = 33 sec answer : d
|
physics
|
math_qa__8szWmLWaAyLSGMIm
|
A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One insured person dies. What is the probability that the dead person is a young boy? Select:
A) 36 / 165
B) 25 / 166
C) 26 / 165
D) 32 / 165
E) 33 / 165
|
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">0.02 * 25</gadget>
<output>0.5</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">0.03 * 14</gadget>
<output>0.42</output>
<gadget id="calculator">0.5 + 0.42</gadget>
<output>0.92</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">16 * 0.15</gadget>
<output>2.4</output>
<gadget id="calculator">0.92 + 2.4</gadget>
<output>3.32</output>
<gadget id="calculator">0.5 / 3.32</gadget>
<output>0.150602</output>
<result>B</result>
|
B
| 0.150602 |
A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One insured person dies. What is the probability that the dead person is a young boy?
|
{
"A": "36 / 165",
"B": "25 / 166",
"C": "26 / 165",
"D": "32 / 165",
"E": "33 / 165"
}
|
divide(multiply(0.02, power(const_5, const_2)), add(add(multiply(0.02, power(const_5, const_2)), multiply(0.03, multiply(add(const_3, const_4), const_2))), multiply(power(const_4, const_2), 0.15)))
|
add(const_3,const_4)|power(const_5,const_2)|power(const_4,const_2)|multiply(n4,#1)|multiply(#0,const_2)|multiply(n6,#2)|multiply(n5,#4)|add(#3,#6)|add(#7,#5)|divide(#3,#8)
|
the number of young boys that will die = 0.02 x 25,000 = 500 the number of young girls that will die = 0.03 x 14,000 = 420 the number of young adults that will die = 0.15 x 16,000 = 2400 the required probability = the number of young boys who will die / the total number of people who will die . = 500 / ( 500 + 420 + 2400 ) = 25 / 166 answer : b
|
probability
|
math_qa__W91XKwM7wAWzv4ov
|
Triangle A’s base is 10% greater than the base of triangle B, and A’s height is 10% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B? Pick:
A) 9 % less
B) 1 % less
C) equal to each other
D) 1 % more
E) 9 % more
|
<gadget id="calculator">floor(100)</gadget>
<output>100</output>
<gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 / 100</gadget>
<output>10</output>
<gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">(110 * 90) / 2</gadget>
<output>4_950</output>
<gadget id="calculator">(90 * 110) / 2</gadget>
<output>4_950</output>
<gadget id="calculator">4_950 / 4_950</gadget>
<output>1</output>
<result>B</result>
|
B
| 1 |
Triangle A’s base is 10% greater than the base of triangle B, and A’s height is 10% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
|
{
"A": "9 % less",
"B": "1 % less",
"C": "equal to each other",
"D": "1 % more",
"E": "9 % more"
}
|
divide(triangle_area(add(floor(const_100), divide(multiply(floor(const_100), 10), const_100)), subtract(floor(const_100), divide(multiply(floor(const_100), 10), const_100))), triangle_area(subtract(floor(const_100), divide(multiply(floor(const_100), 10), const_100)), add(floor(const_100), divide(multiply(floor(const_100), 10), const_100))))
|
floor(const_100)|multiply(n0,#0)|divide(#1,const_100)|add(#2,#0)|subtract(#0,#2)|triangle_area(#3,#4)|divide(#5,#5)
|
base of a = 11 / 10 * base of b height of a = 9 / 10 * height of b area of a = ( 1 / 2 ) * base of a * height of a = 11 / 10 * 9 / 10 * area of b = 99 / 100 * area of b area of a is 1 % less than the area of b . answer ( b )
|
geometry
|
math_qa__VFE4qBXxPKCOpYi7
|
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 2.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill) Choose the correct choice from the following choices:
A) 41 / 25 B) 15 / 14 C) 4 / 5 D) 5 / 4 E) can not be determined
|
<gadget id="calculator">42 / 2.5</gadget>
<output>16.8</output>
<gadget id="calculator">42 / 4.2</gadget>
<output>10</output>
<gadget id="calculator">16.8 / 10</gadget>
<output>1.68</output>
<result>A</result>
|
A
| 1.64 |
Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 2.5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
|
{
"A": "41 / 25",
"B": "15 / 14",
"C": "4 / 5",
"D": "5 / 4",
"E": "can not be determined"
}
|
divide(divide(42, 2.5), divide(42, 4.2))
|
divide(n0,n1)|divide(n0,n2)|divide(#0,#1)|
|
"average speed of jack = distance / time = 42 / ( 5 / 2 ) = 84 / 5 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = ( 84 / 5 ) / 10 = 84 / 50 = 41 / 25 answer a"
|
physics
|
math_qa__Bo5EX2xELn4RZMxD
|
In a store, the total price for 20 shirts is $360 and the total price for 45 sweaters is $900. By how much does the average (arithmetic mean) price of a sweater exceed that of a shirt in this store? Choose the correct choice from the following answers:
A) $ 1 B) $ 2 C) $ 3 D) $ 4 E) $ 5
|
<gadget id="calculator">900 / 45</gadget>
<output>20</output>
<gadget id="calculator">360 / 20</gadget>
<output>18</output>
<gadget id="calculator">20 - 18</gadget>
<output>2</output>
<result>B</result>
|
B
| 2 |
In a store, the total price for 20 shirts is $360 and the total price for 45 sweaters is $900. By how much does the average (arithmetic mean) price of a sweater exceed that of a shirt in this store?
|
{
"A": "$ 1",
"B": "$ 2",
"C": "$ 3",
"D": "$ 4",
"E": "$ 5"
}
|
subtract(divide(900, 45), divide(360, 20))
|
divide(n3,n2)|divide(n1,n0)|subtract(#0,#1)|
|
"the average price of a shirt is : $ 360 / 20 = $ 18 . the average price of a sweater is : $ 900 / 45 = $ 20 . the difference in price is : $ 20 - $ 18 = $ 2 . the answer is b ."
|
general
|
math_qa__5FMma5hXg1jOjqwg
|
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ? Pick
A) 17.5 % B) 24 % C) 30 % D) 32 % E) 38 %
|
<gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">110 / 100</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">120 * (11/10)</gadget>
<output>132</output>
<gadget id="calculator">132 - 100</gadget>
<output>32</output>
<result>D</result>
|
D
| 32 |
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?
|
{
"A": "17.5 %",
"B": "24 %",
"C": "30 %",
"D": "32 %",
"E": "38 %"
}
|
subtract(multiply(add(const_100, 20), divide(add(const_100, 10), const_100)), const_100)
|
add(n1,const_100)|add(n4,const_100)|divide(#1,const_100)|multiply(#0,#2)|subtract(#3,const_100)|
|
"suppose enrollment in 1991 was 100 then enrollment in 1992 will be 120 and enrollment in 1993 will be 120 * 1.10 = 132 increase in 1993 from 1991 = 132 - 100 = 32 answer : d"
|
gain
|
math_qa__crRTM1h0rSgcPnSZ
|
In a fuel station the service costs $2.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 65 liters and a truck's tank is 140% bigger and they are all empty-? Options:
A) 122.6 $ B) 128.9 $ C) 243.7 $ D) 298.85 $ E) 314.45 $
|
<gadget id="calculator">65 * 140</gadget>
<output>9_100</output>
<gadget id="calculator">9_100 / 100</gadget>
<output>91</output>
<gadget id="calculator">65 + 91</gadget>
<output>156</output>
<gadget id="calculator">156 * 2</gadget>
<output>312</output>
<gadget id="calculator">312 * 0.6</gadget>
<output>187.2</output>
<gadget id="calculator">65 * 3</gadget>
<output>195</output>
<gadget id="calculator">195 * 0.6</gadget>
<output>117</output>
<gadget id="calculator">187.2 + 117</gadget>
<output>304.2</output>
<result>E</result>
|
E
| 314.45 |
In a fuel station the service costs $2.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 65 liters and a truck's tank is 140% bigger and they are all empty-?
|
{
"A": "122.6 $",
"B": "128.9 $",
"C": "243.7 $",
"D": "298.85 $",
"E": "314.45 $"
}
|
add(multiply(multiply(add(65, divide(multiply(65, 140), const_100)), 2), 0.6), multiply(multiply(65, 3), 0.6))
|
multiply(n4,n5)|multiply(n2,n4)|divide(#0,const_100)|multiply(n1,#1)|add(n4,#2)|multiply(n3,#4)|multiply(n1,#5)|add(#6,#3)|
|
"service cost of 3 van and 2 truck = 2.05 * ( 3 + 2 ) = 10.5 fuel in 3 van = 3 * 65 = 195 litre fuel in 2 trucks = 2 * 65 ( 1 + 140 / 100 ) = 312 total fuel ( van + truck ) = 507 litre total fuel cost = 507 * 0.6 = 304.2 total cost = fuel + service = 304.2 + 10.25 = 314.45 answer is e"
|
general
|
math_qa__MCzX0pOriNKyvOFR
|
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be: Select.
A) 66 B) 84 C) 80 D) 72 E) 68
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) ** 2</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * pi</gadget>
<output>pi/4 = around 0.785398</output>
<gadget id="calculator">66 / (pi/4)</gadget>
<output>264/pi = around 84.03381</output>
<result>B</result>
|
B
| 84 |
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:
|
{
"A": "66",
"B": "84",
"C": "80",
"D": "72",
"E": "68"
}
|
divide(66, multiply(power(divide(1, const_2), const_2), const_pi))
|
divide(n1,const_2)|power(#0,const_2)|multiply(#1,const_pi)|divide(n0,#2)|
|
"let the length of the wire be h . radius = 1 / 2 mm = 1 / 20 cm . then , ( 22 / 7 ) x ( 1 / 20 ) x ( 1 / 20 ) x h = 66 . h = ( 66 x 20 x 20 x 7 ) / 22 = 8400 cm = 84 m . answer b"
|
physics
|
math_qa__P5aHOd0hyWpr8U33
|
If the cost price of 58 articles is equal to the selling price of 50 articles, then what is the percent profit? Choose one:
A) 12 % B) 16 % C) 20 % D) 24 % E) 28 %
|
<gadget id="calculator">100 * 50</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 / 58</gadget>
<output>2_500/29 = around 86.206897</output>
<gadget id="calculator">100 - (2_500/29)</gadget>
<output>400/29 = around 13.793103</output>
<gadget id="calculator">(400/29) / (2_500/29)</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">100 * (4/25)</gadget>
<output>16</output>
<result>B</result>
|
B
| 16 |
If the cost price of 58 articles is equal to the selling price of 50 articles, then what is the percent profit?
|
{
"A": "12 %",
"B": "16 %",
"C": "20 %",
"D": "24 %",
"E": "28 %"
}
|
multiply(const_100, divide(subtract(const_100, divide(multiply(const_100, 50), 58)), divide(multiply(const_100, 50), 58)))
|
multiply(n1,const_100)|divide(#0,n0)|subtract(const_100,#1)|divide(#2,#1)|multiply(#3,const_100)|
|
"let x be the cost price of one article . let y be the selling price of one article . 50 y = 58 x y = 1.16 x the answer is b ."
|
gain
|
math_qa__yR30KhJHCDhq61Gm
|
A person is traveling at 20 km/hr and reached his destiny in 8 hr then find the distance? Answers: A) 180 km B) 200 km C) 160 km D) 220 km E) 240 km
|
<gadget id="calculator">20 * 8</gadget>
<output>160</output>
<result>C</result>
|
C
| 160 |
A person is traveling at 20 km/hr and reached his destiny in 8 hr then find the distance?
|
{
"A": "180 km",
"B": "200 km",
"C": "160 km",
"D": "220 km",
"E": "240 km"
}
|
multiply(20, 8)
|
multiply(n0,n1)|
|
"t = 8 hrs d = t * s = 20 * 8 = 160 km answer is c"
|
physics
|
math_qa__HLmBrHDYo7eba8QT
|
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $300?
Choices
A) 3,108 B) 3,100 C) 3,108 D) 3,124 E) 3,250
|
<gadget id="calculator">300 / 22.95</gadget>
<output>13.071895</output>
<gadget id="calculator">13.071895 * 250</gadget>
<output>3_267.97375</output>
<result>E</result>
|
E
| 3,250 |
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $300?
|
{
"A": "3,108",
"B": "3,100",
"C": "3,108",
"D": "3,124",
"E": "3,250"
}
|
multiply(divide(300, 22.95), 250)
|
divide(n6,n5)|multiply(n4,#0)|
|
"to maximize number of hot dogs with 300 $ total number of hot dogs bought in 250 - pack = 22.95 * 13 = 298.35 $ amount remaining = 300 - 298.35 = 1.65 $ this amount is too less to buy any 8 - pack . greatest number of hot dogs one can buy with 300 $ = 250 * 13 = 3250 answer e"
|
general
|
math_qa__JJj9wvczEPNvWxvV
|
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? Answers.
A) 87 kmph B) 28 kmph C) 72 kmph D) 18 kmph E) 29 kmph
|
<gadget id="calculator">400 / 1_000</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">20 / 3_600</gadget>
<output>1/180 = around 0.005556</output>
<gadget id="calculator">(2/5) / (1/180)</gadget>
<output>72</output>
<result>C</result>
|
C
| 72 |
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
|
{
"A": "87 kmph",
"B": "28 kmph",
"C": "72 kmph",
"D": "18 kmph",
"E": "29 kmph"
}
|
divide(divide(400, const_1000), divide(20, const_3600))
|
divide(n0,const_1000)|divide(n1,const_3600)|divide(#0,#1)|
|
"length = speed * time speed = l / t s = 400 / 20 s = 20 m / sec speed = 20 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 72 kmph answer : c"
|
physics
|
math_qa__XUVR8QkSQPd9j32Y
|
Two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choose the correct choice from the following:
A) 10 sec
B) 30 sec
C) 40 sec
D) 20 s
E) 50 sec
|
<gadget id="calculator">120 + 280</gadget>
<output>400</output>
<gadget id="calculator">42 + 30</gadget>
<output>72</output>
<gadget id="calculator">72 * 1_000</gadget>
<output>72_000</output>
<gadget id="calculator">72_000 / 3_600</gadget>
<output>20</output>
<gadget id="calculator">400 / 20</gadget>
<output>20</output>
<result>D</result>
|
D
| 20 |
Two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
|
{
"A": "10 sec",
"B": "30 sec",
"C": "40 sec",
"D": "20 s",
"E": "50 sec"
}
|
divide(add(120, 280), divide(multiply(add(42, 30), const_1000), const_3600))
|
add(n0,n1)|add(n2,n3)|multiply(#1,const_1000)|divide(#2,const_3600)|divide(#0,#3)
|
d relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 120 + 280 = 400 m . the time required = d / s = 400 / 20 = 20 sec .
|
physics
|
math_qa__B2iClI4rr5wBzwhr
|
Two trains start simultaneously from opposite ends of a 180-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 180-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 180-km trip in 4 hours. How many kilometers had Train X traveled when it met Train Y? Choose the correct choice from the following options.
A) 72
B) 74
C) 76
D) 78
E) 80
|
<gadget id="calculator">180 / 5</gadget>
<output>36</output>
<gadget id="calculator">180 / 4</gadget>
<output>45</output>
<gadget id="calculator">36 + 45</gadget>
<output>81</output>
<gadget id="calculator">180 / 81</gadget>
<output>20/9 = around 2.222222</output>
<gadget id="calculator">36 * (20/9)</gadget>
<output>80</output>
<result>E</result>
|
E
| 80 |
Two trains start simultaneously from opposite ends of a 180-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 180-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 180-km trip in 4 hours. How many kilometers had Train X traveled when it met Train Y?
|
{
"A": "72",
"B": "74",
"C": "76",
"D": "78",
"E": "80"
}
|
multiply(divide(180, 5), divide(180, add(divide(180, 5), divide(180, 4))))
|
divide(n0,n2)|divide(n0,n4)|add(#0,#1)|divide(n0,#2)|multiply(#0,#3)|
|
if the two trains cover a total distance d , then train x travels ( 4 / 9 ) * d while train y travels ( 5 / 9 ) * d . if the trains travel 180 km to the meeting point , then train x travels ( 4 / 9 ) * 180 = 80 km . the answer is e .
|
physics
|
math_qa__JFA3ircKPEcyeeg9
|
Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay? Choose the correct choice:
A) $ 10 B) $ 20 C) $ 30 D) $ 40 E) $ 50
|
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<result>C</result>
|
C
| 30 |
Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?
|
{
"A": "$ 10",
"B": "$ 20",
"C": "$ 30",
"D": "$ 40",
"E": "$ 50"
}
|
multiply(add(10, 5), 2)
|
add(n0,n1)|multiply(n2,#0)
|
2 × ( 10 + 5 ) = 2 × 10 + 2 × 5 = 20 + 10 = 30 dollars correct answer is c ) $ 30
|
general
|
math_qa__TupRTge7hOiKR730
|
A jogger running at 9 km/hr along side a railway track is 280 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Choose the correct answer:
A) 67 sec B) 89 sec C) 36 sec D) 87 sec E) 40 sec
|
<gadget id="calculator">280 + 120</gadget>
<output>400</output>
<gadget id="calculator">45 - 9</gadget>
<output>36</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">5 / 18</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">36 * (5/18)</gadget>
<output>10</output>
<gadget id="calculator">400 / 10</gadget>
<output>40</output>
<result>E</result>
|
E
| 40 |
A jogger running at 9 km/hr along side a railway track is 280 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
|
{
"A": "67 sec",
"B": "89 sec",
"C": "36 sec",
"D": "87 sec",
"E": "40 sec"
}
|
divide(add(280, 120), multiply(subtract(45, 9), divide(divide(const_10, const_2), divide(subtract(45, 9), const_2))))
|
add(n1,n2)|divide(const_10,const_2)|subtract(n3,n0)|divide(#2,const_2)|divide(#1,#3)|multiply(#4,#2)|divide(#0,#5)|
|
"speed of train relative to jogger = 45 - 9 = 36 km / hr . = 36 * 5 / 18 = 10 m / sec . distance to be covered = 280 + 120 = 400 m . time taken = 400 / 10 = 40 sec . answer : e"
|
general
|
math_qa__tO7qJbJyUfpHYufl
|
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 55? Choose the correct answer: A) s . 3944 B) s . 3948 C) s . 3942 D) s . 3965 E) s . 3740
|
<gadget id="calculator">289 ** (1/2)</gadget>
<output>17</output>
<gadget id="calculator">4 * 17</gadget>
<output>68</output>
<gadget id="calculator">68 * 55</gadget>
<output>3_740</output>
<result>E</result>
|
E
| 3,740 |
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 55?
|
{
"A": "s . 3944",
"B": "s . 3948",
"C": "s . 3942",
"D": "s . 3965",
"E": "s . 3740"
}
|
multiply(square_perimeter(sqrt(289)), 55)
|
sqrt(n0)|square_perimeter(#0)|multiply(n1,#1)|
|
"let the side of the square plot be a ft . a 2 = 289 = > a = 17 length of the fence = perimeter of the plot = 4 a = 68 ft . cost of building the fence = 68 * 55 = rs . 3740 . answer : e"
|
geometry
|
math_qa__IFX9tNelDtIbNleh
|
In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is Choose the correct choice from the following answers:
A) 16 years B) 88 years C) 39 years D) 66 years E) 77 years
|
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">9 + 10</gadget>
<output>19</output>
<gadget id="calculator">20 + 19</gadget>
<output>39</output>
<result>C</result>
|
C
| 39 |
In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
|
{
"A": "16 years",
"B": "88 years",
"C": "39 years",
"D": "66 years",
"E": "77 years"
}
|
add(multiply(const_2, 10), add(9, 10))
|
add(n0,n3)|multiply(n0,const_2)|add(#0,#1)|
|
"let b ' s age = x years . then , as age = ( x + 9 ) years . ( x + 9 + 10 ) = 2 ( x — 10 ) hence x = 39 . present age of b = 39 years answer : c"
|
general
|
math_qa__bMIVV5whRBhrYftm
|
How many times hour hand covers full circle in a day?
Choose the most appropriate option:
A) 3 times B) 2 times C) 4 times D) 5 times E) once
|
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">24 / 12</gadget>
<output>2</output>
<result>B</result>
|
B
| 2 |
How many times hour hand covers full circle in a day?
|
{
"A": "3 times",
"B": "2 times",
"C": "4 times",
"D": "5 times",
"E": "once"
}
|
divide(multiply(multiply(const_3, const_4), const_2), multiply(const_3, const_4))
|
multiply(const_3,const_4)|multiply(#0,const_2)|divide(#1,#0)
|
2 times answer : b
|
physics
|
math_qa__bsCvBLDL3yZAOQkF
|
How many integers between 400 and 1000 are there such that their unit digit is odd? Choose the most appropriate option:
A) 250
B) 150
C) 300
D) 400
E) 450
|
<gadget id="calculator">1_000 - 400</gadget>
<output>600</output>
<gadget id="calculator">600 / 2</gadget>
<output>300</output>
<result>C</result>
|
C
| 300 |
How many integers between 400 and 1000 are there such that their unit digit is odd?
|
{
"A": "250",
"B": "150",
"C": "300",
"D": "400",
"E": "450"
}
|
divide(subtract(1000, 400), const_2)
|
subtract(n1,n0)|divide(#0,const_2)
|
there are 600 numbers from 401 to 1000 ( inclusive ) . half of the numbers are odd , so there are 300 odd numbers . the answer is c .
|
general
|
math_qa__gdS0rDvshZYLCuEP
|
A company pays 15.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares? Select.
A) 25 B) 31 C) 18 D) 19 E) 01
|
<gadget id="calculator">15.5 * 50</gadget>
<output>775</output>
<gadget id="calculator">775 / 100</gadget>
<output>31/4 = around 7.75</output>
<gadget id="calculator">(31/4) * 100</gadget>
<output>775</output>
<gadget id="calculator">775 / 25</gadget>
<output>31</output>
<result>B</result>
|
B
| 31 |
A company pays 15.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
|
{
"A": "25",
"B": "31",
"C": "18",
"D": "19",
"E": "01"
}
|
divide(multiply(divide(multiply(15.5, 50), const_100), const_100), 25)
|
multiply(n0,n1)|divide(#0,const_100)|multiply(#1,const_100)|divide(#2,n2)|
|
"explanation : dividend on 1 share = ( 15.5 * 50 ) / 100 = rs . 7.75 rs . 25 is income on an investment of rs . 100 rs . 7.75 is income on an investment of rs . ( 7.75 * 100 ) / 25 = rs . 31 answer : b"
|
gain
|
math_qa__GU7BBUr4moRqwoQB
|
The average of first 6 prime numbers is? Choices
A) 10.11 B) 11.11 C) 12.11 D) 6.83 E) 14.11
|
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>D</result>
|
D
| 6.83 |
The average of first 6 prime numbers is?
|
{
"A": "10.11",
"B": "11.11",
"C": "12.11",
"D": "6.83",
"E": "14.11"
}
|
add(6, const_1)
|
add(n0,const_1)|
|
"sum of 6 prime no . = 41 average = 41 / 6 = 6.83 answer : d"
|
general
|
math_qa__mkMBTyZM6Tr4eLO6
|
Jaya ranks 5th in a class of 53. What is her rank from the bottom in the class? Choose the correct choice from the following choices.
A) 49 th
B) 48 th
C) 47 th
D) 50 th
E) none of these
|
<gadget id="calculator">53 - 5</gadget>
<output>48</output>
<gadget id="calculator">48 + 1</gadget>
<output>49</output>
<result>A</result>
|
A
| 49 |
Jaya ranks 5th in a class of 53. What is her rank from the bottom in the class?
|
{
"A": "49 th",
"B": "48 th",
"C": "47 th",
"D": "50 th",
"E": "none of these"
}
|
add(subtract(53, 5), const_1)
|
subtract(n1,n0)|add(#0,const_1)
|
there are 4 students above her . when takan from bottom there are 4 students below her rank . so her rank wud be 53 - 4 i . e . 49 th . answer : a
|
other
|
math_qa__gTbEb5vNb03yd4Jh
|
If the weight of 10 meters long rod is 23.4 kg. What is the weight of 6 meters long rod ? Choose one:
A) 7.2 kg . B) 10.8 kg . C) 14.04 kg . D) 18.0 kg E) none
|
<gadget id="calculator">6 * 23.4</gadget>
<output>140.4</output>
<gadget id="calculator">140.4 / 10</gadget>
<output>14.04</output>
<result>C</result>
|
C
| 14.04 |
If the weight of 10 meters long rod is 23.4 kg. What is the weight of 6 meters long rod ?
|
{
"A": "7.2 kg .",
"B": "10.8 kg .",
"C": "14.04 kg .",
"D": "18.0 kg",
"E": "none"
}
|
divide(multiply(6, 23.4), 10)
|
multiply(n1,n2)|divide(#0,n0)|
|
"answer ∵ weight of 10 m long rod = 23.4 kg ∴ weight of 1 m long rod = 23.4 / 10 kg ∴ weight of 6 m long rod = 23.4 x 6 / 10 = 14.04 kg option : c"
|
physics
|
math_qa__NDRw10k3YY8FQT6V
|
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 30000rs,what is the value of buzness? Choose the correct choice from the following answers:
A) 75000 B) 160000 C) 170000 D) 60000 E) 70000
|
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(2/3) * (3/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30_000 / (1/2)</gadget>
<output>60_000</output>
<result>D</result>
|
D
| 60,000 |
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 30000rs,what is the value of buzness?
|
{
"A": "75000",
"B": "160000",
"C": "170000",
"D": "60000",
"E": "70000"
}
|
divide(30000, multiply(divide(2, 3), divide(3, 4)))
|
divide(n0,n1)|divide(n1,n3)|multiply(#0,#1)|divide(n4,#2)
|
if value of business = x total sell ( 2 x / 3 ) ( 3 / 4 ) = 30000 - > x = 60000 answer : d
|
general
|
math_qa__H95s7PGZWiz9nN6Y
|
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $15. If the price per share of stock K was $16 at the closing of the day, what was the percent increase in the price per share of stock K for that day? Choose the correct option.
A) 1.4 % B) 5.9 % C) 11.1 % D) 6.67 % E) 23.6 %
|
<gadget id="calculator">16 / 15</gadget>
<output>16/15 = around 1.066667</output>
<gadget id="calculator">(16/15) - 1</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/15) * 100</gadget>
<output>20/3 = around 6.666667</output>
<result>D</result>
|
D
| 6.67 |
At the opening of a trading day at a certain stock exchange, the price per share of stock K was $15. If the price per share of stock K was $16 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
|
{
"A": "1.4 %",
"B": "5.9 %",
"C": "11.1 %",
"D": "6.67 %",
"E": "23.6 %"
}
|
multiply(subtract(divide(16, 15), const_1), const_100)
|
divide(n1,n0)|subtract(#0,const_1)|multiply(#1,const_100)|
|
"opening = 15 closing = 16 rise in price = 1 so , percent increase = 1 / 15 * 100 = 6.67 answer : d"
|
general
|
math_qa__5nbtr9CLkpKLyBRT
|
Of the 70 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
Select the correct option: A) 10 B) 15 C) 20 D) 25 E) 30
|
<gadget id="calculator">50 - 35</gadget>
<output>15</output>
<gadget id="calculator">40 - 35</gadget>
<output>5</output>
<gadget id="calculator">15 + 5</gadget>
<output>20</output>
<gadget id="calculator">20 + 35</gadget>
<output>55</output>
<gadget id="calculator">70 - 55</gadget>
<output>15</output>
<result>B</result>
|
B
| 15 |
Of the 70 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
|
{
"A": "10",
"B": "15",
"C": "20",
"D": "25",
"E": "30"
}
|
subtract(70, add(add(subtract(50, 35), subtract(40, 35)), 35))
|
subtract(n1,n3)|subtract(n2,n3)|add(#0,#1)|add(n3,#2)|subtract(n0,#3)|
|
"neither car nor garage = total - garage - ( swim - common ) = 70 - 50 - ( 40 - 35 ) = 70 - 55 = 15 answer b"
|
other
|
math_qa__YwVP14bvZxeL5mJg
|
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $57000 and Ingrid makes $72000, what is their combined tax rate? Choose the correct answer: A) 32 % B) 34.4 % C) 35 % D) 35.6 % E) 36.4 %
|
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 57_000</gadget>
<output>17_100</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 72_000</gadget>
<output>28_800</output>
<gadget id="calculator">17_100 + 28_800</gadget>
<output>45_900</output>
<gadget id="calculator">72_000 + 57_000</gadget>
<output>129_000</output>
<gadget id="calculator">45_900 / 129_000</gadget>
<output>153/430 = around 0.355814</output>
<gadget id="calculator">(153/430) * 100</gadget>
<output>1_530/43 = around 35.581395</output>
<result>D</result>
|
D
| 35.6 |
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $57000 and Ingrid makes $72000, what is their combined tax rate?
|
{
"A": "32 %",
"B": "34.4 %",
"C": "35 %",
"D": "35.6 %",
"E": "36.4 %"
}
|
multiply(divide(add(multiply(divide(30, const_100), 57000), multiply(divide(40, const_100), 72000)), add(72000, 57000)), const_100)
|
add(n2,n3)|divide(n0,const_100)|divide(n1,const_100)|multiply(n2,#1)|multiply(n3,#2)|add(#3,#4)|divide(#5,#0)|multiply(#6,const_100)|
|
"( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 72000 / 129000 = 24 / 43 . 24 / 43 is a little above 24 / 48 = 1 / 2 . thus , our answer is just a little above 35 . answer : d"
|
gain
|
math_qa__UKupM5hdb2CdQ2Tn
|
If a - b = 3 and
a2+b2=29
, then find the value of ab Choose the correct choice: A) 7 B) 8.5 C) 10 D) 12 E) 14
|
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">29 - 9</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<result>C</result>
|
C
| 10 |
If a - b = 3 and
a2+b2=29
, then find the value of ab
|
{
"A": "7",
"B": "8.5",
"C": "10",
"D": "12",
"E": "14"
}
|
divide(subtract(29, power(3, 2)), 2)
|
power(n0,n1)|subtract(n3,#0)|divide(#1,n1)
|
explanation : 2 ab = ( a 2 + b 2 ) − ( a − b ) 2 = > 2 ab = 29 - 9 = 20 = > ab = 10 option c
|
general
|
math_qa__399AmfNfwzfwhkgx
|
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $1.30 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Options.
A) $ 255 B) $ 275 C) $ 510 D) $ 1,250 E) $ 663
|
<gadget id="calculator">1_000 * 1_000</gadget>
<output>1_000_000</output>
<gadget id="calculator">3.06 * 1_000_000</gadget>
<output>3_060_000</output>
<gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">400 * 15</gadget>
<output>6_000</output>
<gadget id="calculator">3_060_000 / 6_000</gadget>
<output>510</output>
<gadget id="calculator">510 * 1.3</gadget>
<output>663</output>
<result>E</result>
|
E
| 663 |
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $1.30 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
|
{
"A": "$ 255",
"B": "$ 275",
"C": "$ 510",
"D": "$ 1,250",
"E": "$ 663"
}
|
multiply(divide(multiply(3.06, multiply(const_1000, const_1000)), multiply(multiply(20, 20), 15)), 1.30)
|
multiply(const_1000,const_1000)|multiply(n0,n0)|multiply(n4,#0)|multiply(n2,#1)|divide(#2,#3)|multiply(n3,#4)|
|
"total no . of boxes = 3060000 / ( 20 × 20 × 15 ) = 510 total cost = 510 × $ 1.30 = $ 663 answer e"
|
general
|
math_qa__AyXf4ApvxqIxNcTf
|
A man covers a certain distance on bike. Had he moved 4 kmph faster, he would have taken 72 minutes less. If he moves slow by 4 kmph, he will take hours more to cover the distance. What is the distance travelled by him ?
Choose the correct option.
A) 48 km B) 56 km C) 64 km D) 96 km E) 106 km
|
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">60 + 4</gadget>
<output>64</output>
<gadget id="calculator">64 / 4</gadget>
<output>16</output>
<gadget id="calculator">16 + 4</gadget>
<output>20</output>
<gadget id="calculator">20 * 16</gadget>
<output>320</output>
<gadget id="calculator">6 * 320</gadget>
<output>1_920</output>
<gadget id="calculator">1_920 / 20</gadget>
<output>96</output>
<result>D</result>
|
D
| 96 |
A man covers a certain distance on bike. Had he moved 4 kmph faster, he would have taken 72 minutes less. If he moves slow by 4 kmph, he will take hours more to cover the distance. What is the distance travelled by him ?
|
{
"A": "48 km",
"B": "56 km",
"C": "64 km",
"D": "96 km",
"E": "106 km"
}
|
divide(multiply(add(4, const_2), multiply(add(divide(add(const_60, 4), 4), 4), divide(add(const_60, 4), 4))), add(divide(add(const_60, 4), 4), 4))
|
add(n0,const_2)|add(n0,const_60)|divide(#1,n0)|add(n0,#2)|multiply(#3,#2)|multiply(#0,#4)|divide(#5,#3)
|
explanation : let the distance be ' d ' and the speed be ' x ' kmph . d / x + 4 = d / x - 72 / 60 d / x - d / ( x - y ) = 6 / 5 = d ( x + 4 - x ) / x ( x - 4 ) = 6 / 5 ∴ d / x ( x + 4 ) = 3 / 10 . . . . . . ( i ) d / x - 4 - d / x = 2 ∴ dx - dx + 4 d / x ( x - 4 ) = 2 ∴ d / x ( x - 4 ) = 1 / 2 . . . . . ( ii ) from equation ( i ) and ( ii ) : 3 / 10 x ( x + 4 ) = 1 / 2 x ( x - 4 ) ∴ 3 ( x + 4 ) = 5 ( x - 4 ) = 3 x + 12 = 5 x - 20 2 x = 32 ∴ x = 16 kmn - 1 ∴ d = x ( x - 4 ) / 2 = 16 x 12 / 2 = 16 x 6 = 96 km answer : option d
|
physics
|
math_qa__3tqwfMSCME9S18bo
|
If 0.6 : x :: 5 : 8, then x is equal to:
Choose one:
A) 0.96
B) 1.2
C) 1.25
D) 1.3
E) 0.8
|
<gadget id="calculator">0.6 * 8</gadget>
<output>4.8</output>
<gadget id="calculator">4.8 / 5</gadget>
<output>0.96</output>
<result>A</result>
|
A
| 0.96 |
If 0.6 : x :: 5 : 8, then x is equal to:
|
{
"A": "0.96",
"B": "1.2",
"C": "1.25",
"D": "1.3",
"E": "0.8"
}
|
divide(multiply(0.6, 8), 5)
|
multiply(n0,n2)|divide(#0,n1)|
|
"( x * 5 ) = ( 0.6 * 8 ) x = 4.8 / 5 x = 0.96 answer = a"
|
general
|
math_qa__cEd1Ci0XXgg3LWMl
|
Excluding stoppages, the speed of a bus is 50 km/hr and including stoppages, it is 36 km/hr. For how many minutes does the bus stop per hour? Select the correct option.
A) 118 min
B) 10 min
C) 18 min
D) 16 min
E) 15 min
|
<gadget id="calculator">50 - 36</gadget>
<output>14</output>
<gadget id="calculator">14 / 50</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">60 * (7/25)</gadget>
<output>84/5 = around 16.8</output>
<result>D</result>
|
D
| 16 |
Excluding stoppages, the speed of a bus is 50 km/hr and including stoppages, it is 36 km/hr. For how many minutes does the bus stop per hour?
|
{
"A": "118 min",
"B": "10 min",
"C": "18 min",
"D": "16 min",
"E": "15 min"
}
|
multiply(const_60, divide(subtract(50, 36), 50))
|
subtract(n0,n1)|divide(#0,n0)|multiply(#1,const_60)|
|
"due to stoppages , it covers 14 km less . time taken to cover 14 km = 14 / 50 * 60 = 16 min . answer : d"
|
physics
|
math_qa__wWtKGZkQuN7U01rb
|
7x + y = 19 , and x + 3y = 1. Find the value of 2x + y Answers
A) 20 B) 18 C) 11 D) 5 E) 50
|
<gadget id="calculator">7 - 19</gadget>
<output>-12</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">21 - 1</gadget>
<output>20</output>
<gadget id="calculator">(-12) / 20</gadget>
<output>-3/5 = around -0.6</output>
<gadget id="calculator">3 * (-3/5)</gadget>
<output>-9/5 = around -1.8</output>
<gadget id="calculator">1 - (-9/5)</gadget>
<output>14/5 = around 2.8</output>
<gadget id="calculator">2 * (14/5)</gadget>
<output>28/5 = around 5.6</output>
<gadget id="calculator">(28/5) + (-3/5)</gadget>
<output>5</output>
<result>D</result>
|
D
| 5 |
7x + y = 19 , and x + 3y = 1. Find the value of 2x + y
|
{
"A": "20",
"B": "18",
"C": "11",
"D": "5",
"E": "50"
}
|
add(multiply(2, subtract(1, multiply(3, divide(subtract(7, 19), subtract(multiply(7, 3), const_1))))), divide(subtract(7, 19), subtract(multiply(7, 3), const_1)))
|
multiply(n0,n2)|subtract(n0,n1)|subtract(#0,const_1)|divide(#1,#2)|multiply(n2,#3)|subtract(n3,#4)|multiply(n4,#5)|add(#3,#6)
|
add these two equations 8 x + 4 y = 20 divide by 2 ( to get 2 x + y ) answer will be d . 10
|
general
|
math_qa__tQgGkhw7slfdMGTY
|
A person want to give his money of $3600 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share? Pick one:
A) $ 2000 B) $ 1200 C) $ 2500 D) $ 1800 E) $ 1600
|
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 3_600</gadget>
<output>1_200</output>
<result>B</result>
|
B
| 1,200 |
A person want to give his money of $3600 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?
|
{
"A": "$ 2000",
"B": "$ 1200",
"C": "$ 2500",
"D": "$ 1800",
"E": "$ 1600"
}
|
multiply(divide(3, add(add(2, 3), 4)), 3600)
|
add(n1,n2)|add(n4,#0)|divide(n1,#1)|multiply(n0,#2)|
|
"b ' s share = 3600 * 3 / 9 = $ 1200 answer is b"
|
other
|
math_qa__Gcp8JOiF5eWZnJOm
|
Each week, Harry is paid x dollars per hour for the first 24 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Select the correct option
A) 35
B) 36
C) 37
D) 38
E) 39
|
<gadget id="calculator">40 + 2</gadget>
<output>42</output>
<gadget id="calculator">42 - 24</gadget>
<output>18</output>
<gadget id="calculator">18 / 1.5</gadget>
<output>12</output>
<gadget id="calculator">12 + 24</gadget>
<output>36</output>
<result>B</result>
|
B
| 36 |
Each week, Harry is paid x dollars per hour for the first 24 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
|
{
"A": "35",
"B": "36",
"C": "37",
"D": "38",
"E": "39"
}
|
add(divide(subtract(add(40, 2), 24), 1.5), 24)
|
add(n2,n3)|subtract(#0,n0)|divide(#1,n1)|add(n0,#2)|
|
"42 x = 24 x + 1.5 x ( h - 24 ) = = > 42 = 24 + 1.5 ( h - 24 ) = = > h - 24 = 18 / 1.5 = 12 = > h = 36 answer is b"
|
general
|
math_qa__rWpzdGmCxY33iAfB
|
rs . 1600 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 85 . how much was lent at 5.00001 % ?
Pick:
A) 1100 B) 1200 C) 1300 D) 1400 E) 1700
|
<gadget id="calculator">5 + 6</gadget>
<output>11</output>
<gadget id="calculator">11 * 100</gadget>
<output>1_100</output>
<result>A</result>
|
A
| 1,100 |
rs . 1600 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 85 . how much was lent at 5.00001 % ?
|
{
"A": "1100",
"B": "1200",
"C": "1300",
"D": "1400",
"E": "1700"
}
|
multiply(add(5, 6), const_100)
|
add(n1,n2)|multiply(#0,const_100)
|
( x * 5 * 1 ) / 100 + [ ( 1600 - x ) * 6 * 1 ] / 100 = 85 5 x / 100 + ( 9600 – 6 x ) / 100 = 85 = > x = 1100 answer : a
|
gain
|
math_qa__VONCykpsJlon2yH4
|
A box contains 10 tablets of medicine A and 16 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted. Choose the correct choice
A) 12
B) 15
C) 17
D) 18
E) 21
|
<gadget id="calculator">16 + 2</gadget>
<output>18</output>
<result>D</result>
|
D
| 18 |
A box contains 10 tablets of medicine A and 16 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
|
{
"A": "12",
"B": "15",
"C": "17",
"D": "18",
"E": "21"
}
|
add(16, const_2)
|
add(n1,const_2)|
|
"the worst case scenario will be if we remove all 16 tablets of medicine b first . the next 2 tablets we remove have to be of medicine a , so to guarantee that at least two tablets of each kind will be taken we should remove minimum of 16 + 2 = 18 tablets . answer : d ."
|
general
|
math_qa__Ab8EVaZzsGZlLzE9
|
A train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train? Choose the correct option
A) 90 B) 95 C) 100 D) 105 E) 110
|
<gadget id="calculator">3_000 / 1_000</gadget>
<output>3</output>
<gadget id="calculator">120 / 3_600</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">3 / (1/30)</gadget>
<output>90</output>
<result>A</result>
|
A
| 90 |
A train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train?
|
{
"A": "90",
"B": "95",
"C": "100",
"D": "105",
"E": "110"
}
|
divide(divide(3000, const_1000), divide(120, const_3600))
|
divide(n0,const_1000)|divide(n1,const_3600)|divide(#0,#1)|
|
"length = speed * time speed = l / t s = 3000 / 120 s = 25 m / sec speed = 25 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 90 kmph answer : a"
|
physics
|
math_qa__p3oXaq5eou8NBP7y
|
A can give B 60 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race? Select:
A) 63.83 B) 111.67 C) 111.64 D) 111.11 E) 101.12
|
<gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 - 120</gadget>
<output>880</output>
<gadget id="calculator">1_000 * 880</gadget>
<output>880_000</output>
<gadget id="calculator">1_000 - 60</gadget>
<output>940</output>
<gadget id="calculator">880_000 / 940</gadget>
<output>44_000/47 = around 936.170213</output>
<gadget id="calculator">1_000 - (44_000/47)</gadget>
<output>3_000/47 = around 63.829787</output>
<result>A</result>
|
A
| 63.83 |
A can give B 60 meters start and C 120 meters start in a kilometer race. How much start can B give C in a kilometer race?
|
{
"A": "63.83",
"B": "111.67",
"C": "111.64",
"D": "111.11",
"E": "101.12"
}
|
subtract(multiply(const_100, const_10), divide(multiply(multiply(const_100, const_10), subtract(multiply(const_100, const_10), 120)), subtract(multiply(const_100, const_10), 60)))
|
multiply(const_10,const_100)|subtract(#0,n1)|subtract(#0,n0)|multiply(#0,#1)|divide(#3,#2)|subtract(#0,#4)|
|
"a runs 1000 m while b runs 940 m and c runs 880 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 880 ) / 940 = 936.17 m . b can give c = 1000 - 936.17 = 63.83 m . answer : a"
|
physics
|
math_qa__TLO5y6q3RF6JBM1g
|
You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over? Answers:
A) 27 B) 43 C) 11 D) 32 E) 45
|
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">59 - 27</gadget>
<output>32</output>
<result>D</result>
|
D
| 32 |
You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over?
|
{
"A": "27",
"B": "43",
"C": "11",
"D": "32",
"E": "45"
}
|
subtract(59, multiply(multiply(const_3, const_3), const_3))
|
multiply(const_3,const_3)|multiply(#0,const_3)|subtract(n0,#1)
|
d 32 the next cube number below 64 ( 4 × 4 × 4 ) is 27 ( 3 × 3 × 3 ) . in order to construct a solid cube , therefore , with none left over , 59 – 27 = 32 blocks need to be taken away .
|
geometry
|
math_qa__f24RqOtKUZVoz5mV
|
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 1 kilometer per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P? Choose the correct choice from the following answers.
A) 5 B) 7 C) 8 D) 10 E) 12
|
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">3 * 24</gadget>
<output>72</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">72 / 9</gadget>
<output>8</output>
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<result>A</result>
|
A
| 5 |
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 1 kilometer per hour, how many hours longer is the journey of Ferry Q compared with the journey of Ferry P?
|
{
"A": "5",
"B": "7",
"C": "8",
"D": "10",
"E": "12"
}
|
subtract(divide(multiply(const_3, multiply(8, 3)), add(8, 1)), 3)
|
add(n1,n2)|multiply(n0,n1)|multiply(#1,const_3)|divide(#2,#0)|subtract(#3,n0)|
|
"the distance traveled by ferry p is 24 km . then the distance traveled by ferry q is 72 km . ferry q travels at a speed of 9 kph . the time of the journey for ferry q is 72 / 9 = 8 hours , which is 5 hours more than ferry p . the answer is a ."
|
physics
|
math_qa__swHt8H1ouIqLzHNt
|
n a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 4 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ? Answers: A) 62 B) 63 C) 64 D) 66.66 E) 65
|
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) + (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 100</gadget>
<output>200/3 = around 66.666667</output>
<result>D</result>
|
D
| 66.66 |
n a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 4 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ?
|
{
"A": "62",
"B": "63",
"C": "64",
"D": "66.66",
"E": "65"
}
|
multiply(add(divide(1, 3), divide(1, 3)), const_100)
|
divide(n1,n2)|add(#0,#0)|multiply(#1,const_100)
|
given : - violets - c / 3 carnations - c tulip - c / 12 rose - c / 12 total flowers in terms of c = c / 3 + c + c / 12 + c / 12 = 18 c / 12 percentage of carnations = c / 3 c / 2 * 100 = 66.66 % answer d
|
general
|
math_qa__lndFNOntPGKeGeAq
|
At a contest with 500 participants, 1/2 of the people are aged 28 to 32. Next year, the number of people aged 28 to 32 will increase by 1/8. After this change, what percentage of the total 500 people will the 28- to 32-year-olds represent? Choose the correct choice.
A) 33.25 % B) 40.25 % C) 50.25 % D) 55.25 % E) 56.25 %
|
<gadget id="calculator">500 / 2</gadget>
<output>250</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 + (1/8)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">250 * (9/8)</gadget>
<output>1_125/4 = around 281.25</output>
<gadget id="calculator">(1_125/4) / 500</gadget>
<output>9/16 = around 0.5625</output>
<gadget id="calculator">(9/16) * 100</gadget>
<output>225/4 = around 56.25</output>
<result>E</result>
|
E
| 56.25 |
At a contest with 500 participants, 1/2 of the people are aged 28 to 32. Next year, the number of people aged 28 to 32 will increase by 1/8. After this change, what percentage of the total 500 people will the 28- to 32-year-olds represent?
|
{
"A": "33.25 %",
"B": "40.25 %",
"C": "50.25 %",
"D": "55.25 %",
"E": "56.25 %"
}
|
multiply(divide(multiply(divide(500, 2), add(1, divide(1, 8))), 500), const_100)
|
divide(n1,n8)|divide(n0,n2)|add(#0,n1)|multiply(#2,#1)|divide(#3,n0)|multiply(#4,const_100)|
|
"i just wanted to mention a couple of things here : * this is a pure ratio question ; the number 500 is completely irrelevant , and you can ignore it if you like . when we increase something by 1 / 8 , we are multiplying it by 1 + 1 / 8 = 9 / 8 , so the answer here must be ( 1 / 2 ) * ( 9 / 8 ) = 9 / 16 = 56.25 % . answer is e"
|
general
|
math_qa__wdbXwjzN4LYQDfGZ
|
On a purchase of $130, a store offered a payment plan consisting of a $30 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan? Choose the correct option
A) 23.5 % B) 24.5 % C) 23.1 % D) 25.5 % E) 26.5 %
|
<gadget id="calculator">10 * 12</gadget>
<output>120</output>
<gadget id="calculator">120 + 30</gadget>
<output>150</output>
<gadget id="calculator">150 - 120</gadget>
<output>30</output>
<gadget id="calculator">30 / 130</gadget>
<output>3/13 = around 0.230769</output>
<gadget id="calculator">(3/13) * 100</gadget>
<output>300/13 = around 23.076923</output>
<result>C</result>
|
C
| 23.1 |
On a purchase of $130, a store offered a payment plan consisting of a $30 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
|
{
"A": "23.5 %",
"B": "24.5 %",
"C": "23.1 %",
"D": "25.5 %",
"E": "26.5 %"
}
|
multiply(divide(subtract(add(multiply(10, 12), 30), multiply(10, 12)), 130), const_100)
|
multiply(n2,n3)|add(n1,#0)|subtract(#1,#0)|divide(#2,n0)|multiply(#3,const_100)
|
12 * 10 + 30 = 150 . ( 30 / 130 ) * 100 = 23.1 answer : c
|
gain
|
math_qa__kV53xyUDtdJyCmk9
|
Ashok secured average of 77 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject? Choose the correct option
A) 38 B) 27 C) 92 D) 17 E) 80
|
<gadget id="calculator">77 * 6</gadget>
<output>462</output>
<gadget id="calculator">74 * 5</gadget>
<output>370</output>
<gadget id="calculator">462 - 370</gadget>
<output>92</output>
<result>C</result>
|
C
| 92 |
Ashok secured average of 77 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
|
{
"A": "38",
"B": "27",
"C": "92",
"D": "17",
"E": "80"
}
|
subtract(multiply(77, 6), multiply(74, 5))
|
multiply(n0,n1)|multiply(n2,n3)|subtract(#0,#1)|
|
"explanation : number of subjects = 6 average of marks in 6 subjects = 77 therefore total marks in 6 subjects = 77 * 6 = 462 now , no . of subjects = 5 total marks in 5 subjects = 74 * 5 = 370 therefore marks in 6 th subject = 462 – 370 = 92 answer : c"
|
general
|
math_qa__zj41DbDombdgogDa
|
Roses can be purchased individually for $7.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
Choose the correct choice from the following choices: A) 156 B) 162 C) 316 D) 324 E) 325
|
<gadget id="calculator">680 / 50</gadget>
<output>68/5 = around 13.6</output>
<gadget id="calculator">floor(68/5)</gadget>
<output>13</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">13 * 24</gadget>
<output>312</output>
<gadget id="calculator">13 * 50</gadget>
<output>650</output>
<gadget id="calculator">680 - 650</gadget>
<output>30</output>
<gadget id="calculator">30 / 7.3</gadget>
<output>4.109589</output>
<gadget id="calculator">floor(4.109589)</gadget>
<output>4</output>
<gadget id="calculator">312 + 4</gadget>
<output>316</output>
<result>C</result>
|
C
| 316 |
Roses can be purchased individually for $7.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
|
{
"A": "156",
"B": "162",
"C": "316",
"D": "324",
"E": "325"
}
|
add(multiply(floor(divide(680, 50)), multiply(const_12, const_2)), floor(divide(subtract(680, multiply(floor(divide(680, 50)), 50)), 7.30)))
|
divide(n3,n2)|multiply(const_12,const_2)|floor(#0)|multiply(n2,#2)|multiply(#2,#1)|subtract(n3,#3)|divide(#5,n0)|floor(#6)|add(#7,#4)|
|
"buy as many $ 50 deals as possible . we can by 650 / 50 = 13 two dozen roses , thus total of 13 * 24 = 312 roses . we are left with 680 - 650 = $ 30 . we can buy 30 / 7.3 = ~ 4 roses for that amount . total = 312 + 4 = 316 . answer : c ."
|
general
|
math_qa__BvMtEx0HBF8uwSZa
|
If the diameter of circle R is 20% of the diameter of circle S, the area of circle R is what percent of the area of circle S? Choose the correct answer:
A) 5 % B) 10 % C) 15 % D) 14 % E) 4 %
|
<gadget id="calculator">pi * (20 ** 2)</gadget>
<output>400*pi = around 1_256.637061</output>
<gadget id="calculator">(400*pi) * 100</gadget>
<output>40000*pi = around 125_663.706144</output>
<gadget id="calculator">pi * (100 ** 2)</gadget>
<output>10000*pi = around 31_415.926536</output>
<gadget id="calculator">(40000*pi) / (10000*pi)</gadget>
<output>4</output>
<result>E</result>
|
E
| 4 |
If the diameter of circle R is 20% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
|
{
"A": "5 %",
"B": "10 %",
"C": "15 %",
"D": "14 %",
"E": "4 %"
}
|
divide(multiply(circle_area(20), const_100), circle_area(const_100))
|
circle_area(n0)|circle_area(const_100)|multiply(#0,const_100)|divide(#2,#1)|
|
"let diameter of circle r , dr = 20 and diameter of circle s , ds = 100 radius of circle r , rr = 10 radius of circle s , rs = 50 area of circle r / area of circle s = ( pi * rr ^ 2 ) / ( pi * rs ^ 2 ) = ( 10 / 50 ) ^ 2 = ( 2 / 10 ) ^ 2 = 4 % answer : e"
|
geometry
|
math_qa__fqU4iNZJPq8Xtg4o
|
Walking with 4/5 of my usual speed, I arrive at the bus stop 9 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed? Choose the correct choice from the following.
A) 24 B) 28 C) 32 D) 36 E) 40
|
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">9 / (1/4)</gadget>
<output>36</output>
<result>D</result>
|
D
| 36 |
Walking with 4/5 of my usual speed, I arrive at the bus stop 9 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed?
|
{
"A": "24",
"B": "28",
"C": "32",
"D": "36",
"E": "40"
}
|
divide(9, subtract(divide(5, 4), const_1))
|
divide(n1,n0)|subtract(#0,const_1)|divide(n2,#1)|
|
"let t = usual time = distance / usual speed t + 9 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 36 the answer is d ."
|
physics
|
math_qa__4xAX0u9kJPcKgBKo
|
What will be the length of the mini-train, if it crosses a pole in 3 sec while travelling at a speed of 75 kmph? Choose the correct choice from the following answers.
A) 60 m B) 65 m C) 63.5 m D) 64 m E) 62.5 m
|
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">75 * (5/18)</gadget>
<output>125/6 = around 20.833333</output>
<gadget id="calculator">(125/6) * 3</gadget>
<output>125/2 = around 62.5</output>
<result>E</result>
|
E
| 62.5 |
What will be the length of the mini-train, if it crosses a pole in 3 sec while travelling at a speed of 75 kmph?
|
{
"A": "60 m",
"B": "65 m",
"C": "63.5 m",
"D": "64 m",
"E": "62.5 m"
}
|
multiply(multiply(75, const_0_2778), 3)
|
multiply(n1,const_0_2778)|multiply(n0,#0)
|
explanation : d = 75 * 5 / 18 * 3 = 62.5 m answer : option e
|
physics
|
math_qa__TbZoQrsqwB9w6HrD
|
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road? Choose the most appropriate option: A) 5 m B) 4 m C) 2 m D) 3 m E) 6 m
|
<gadget id="calculator">40 + 60</gadget>
<output>100</output>
<gadget id="calculator">-100</gadget>
<output>-100</output>
<gadget id="calculator">-(-100)</gadget>
<output>100</output>
<gadget id="calculator">100 ** 2</gadget>
<output>10_000</output>
<gadget id="calculator">4 * 1</gadget>
<output>4</output>
<gadget id="calculator">60 * 40</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 - 2_109</gadget>
<output>291</output>
<gadget id="calculator">4 * 291</gadget>
<output>1_164</output>
<gadget id="calculator">10_000 - 1_164</gadget>
<output>8_836</output>
<gadget id="calculator">8_836 ** (1/2)</gadget>
<output>94</output>
<gadget id="calculator">100 - 94</gadget>
<output>6</output>
<gadget id="calculator">2 * 1</gadget>
<output>2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<result>D</result>
|
D
| 3 |
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
|
{
"A": "5 m",
"B": "4 m",
"C": "2 m",
"D": "3 m",
"E": "6 m"
}
|
divide(subtract(negate(negate(add(40, 60))), sqrt(subtract(power(const_100, const_2), multiply(multiply(const_4, const_1), subtract(multiply(60, 40), 2109))))), multiply(const_2, const_1))
|
add(n0,n1)|multiply(const_1,const_4)|multiply(n0,n1)|multiply(const_1,const_2)|power(const_100,const_2)|negate(#0)|subtract(#2,n2)|multiply(#1,#6)|negate(#5)|subtract(#4,#7)|sqrt(#9)|subtract(#8,#10)|divide(#11,#3)|
|
"area of the park = 60 * 40 = 2400 m ^ 2 given area of the lawn = 2109 m ^ 2 total area of the cross roads = 2400 - 2109 = 291 m ^ 2 assume that the width of the cross road = x = area of road 1 + road 2 - common area cross road = 60 x + 40 x - x ^ 2 total area of cross road = 60 x + 40 x - x ^ 2 = 291 m ^ 2 ( x - 97 ) ( x - 3 ) = 0 x = 3 answer d"
|
geometry
|
math_qa__b5CxA7FWZem8JBFV
|
A train is moving at 6/7 of its usual speed. The train is 30 minutes too late. What is the usual time for the train to complete the journey? Choose one
A) 1 hour B) 30 minutes C) 3 hours D) 2 hours 30 min E) 2 hours
|
<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">30 * (6/7)</gadget>
<output>180/7 = around 25.714286</output>
<gadget id="calculator">1 - (6/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / (1/7)</gadget>
<output>7</output>
<gadget id="calculator">(180/7) * 7</gadget>
<output>180</output>
<gadget id="calculator">180 / 60</gadget>
<output>3</output>
<result>C</result>
|
C
| 3 |
A train is moving at 6/7 of its usual speed. The train is 30 minutes too late. What is the usual time for the train to complete the journey?
|
{
"A": "1 hour",
"B": "30 minutes",
"C": "3 hours",
"D": "2 hours 30 min",
"E": "2 hours"
}
|
divide(multiply(multiply(30, divide(6, 7)), inverse(subtract(const_1, divide(6, 7)))), const_60)
|
divide(n0,n1)|multiply(n2,#0)|subtract(const_1,#0)|inverse(#2)|multiply(#3,#1)|divide(#4,const_60)|
|
"new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 30 minutes represents 1 / 6 of the usual time . the usual time is 3 hours . the answer is c ."
|
physics
|
math_qa__bXfzw1JBKtuaB0Rk
|
We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $530. How many green hats did we buy? Choose the correct choice from the following:
A) 36
B) 20
C) 40
D) 42
E) 44
|
<gadget id="calculator">85 * 6</gadget>
<output>510</output>
<gadget id="calculator">530 - 510</gadget>
<output>20</output>
<result>B</result>
|
B
| 20 |
We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $530. How many green hats did we buy?
|
{
"A": "36",
"B": "20",
"C": "40",
"D": "42",
"E": "44"
}
|
subtract(530, multiply(85, 6))
|
multiply(n0,n1)|subtract(n3,#0)
|
let b be the number of blue hats and let g be the number of green hats . b + g = 85 . b = 85 - g . 6 b + 7 g = 530 . 6 ( 85 - g ) + 7 g = 530 . 510 - 6 g + 7 g = 530 . g = 530 - 510 = 20 . the answer is b .
|
general
|
math_qa__Fkd6DNE7faaYaWV3
|
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 5%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring? Choose the correct choice from the following.
A) 16.16 % B) 15.15 % C) 14.95 % D) 13.33 % E) 12.52 %
|
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">19 / 100</gadget>
<output>19/100 = around 0.19</output>
<gadget id="calculator">1 - (19/100)</gadget>
<output>81/100 = around 0.81</output>
<gadget id="calculator">(21/20) * (81/100)</gadget>
<output>1_701/2_000 = around 0.8505</output>
<gadget id="calculator">(1_701/2_000) * 100</gadget>
<output>1_701/20 = around 85.05</output>
<gadget id="calculator">100 - (1_701/20)</gadget>
<output>299/20 = around 14.95</output>
<result>C</result>
|
C
| 14.95 |
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 5%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
|
{
"A": "16.16 %",
"B": "15.15 %",
"C": "14.95 %",
"D": "13.33 %",
"E": "12.52 %"
}
|
subtract(const_100, multiply(multiply(add(const_1, divide(5, const_100)), subtract(const_1, divide(19, const_100))), const_100))
|
divide(n0,const_100)|divide(n1,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|multiply(#4,const_100)|subtract(const_100,#5)|
|
"( 100 % + 5 % ) * ( 100 % - 19 % ) = 1.05 * . 81 = 0.8505 . 1 - 0.8505 = 14.95 % lost = - 14.95 % the answer is c the organization has lost 14.95 % of its total volunteers from fall to spring ."
|
general
|
math_qa__QTH5OXa01OysRTgE
|
Find the annual income derived by investing $ 6800 in 40% stock at 136. Choose the correct choice from the following choices: A) 550 B) 2000 C) 250 D) 3000 E) 400
|
<gadget id="calculator">6_800 * 40</gadget>
<output>272_000</output>
<gadget id="calculator">272_000 / 136</gadget>
<output>2_000</output>
<result>B</result>
|
B
| 2,000 |
Find the annual income derived by investing $ 6800 in 40% stock at 136.
|
{
"A": "550",
"B": "2000",
"C": "250",
"D": "3000",
"E": "400"
}
|
divide(multiply(6800, 40), 136)
|
multiply(n0,n1)|divide(#0,n2)|
|
"by investing $ 136 , income obtained = $ 40 . by investing $ 6800 , income obtained = $ [ ( 40 / 136 ) * 6800 ] = $ 2000 . answer b ."
|
gain
|
math_qa__m7H7v1aibXh9YOhN
|
What is the difference between local value & face value of 7 in the numeral 65793? Choose the correct choice from the following: A) 693 B) 656 C) 691 D) 9890 E) 10000
|
<gadget id="calculator">7 * 100</gadget>
<output>700</output>
<gadget id="calculator">700 - 7</gadget>
<output>693</output>
<result>A</result>
|
A
| 693 |
What is the difference between local value & face value of 7 in the numeral 65793?
|
{
"A": "693",
"B": "656",
"C": "691",
"D": "9890",
"E": "10000"
}
|
subtract(multiply(7, const_100), 7)
|
multiply(n0,const_100)|subtract(#0,n0)
|
( local value of 7 ) - ( face value of 7 ) = ( 700 - 7 ) = 693 a
|
general
|
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