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__6OgV0rHCltjECwgR
|
in a recent election , james received 0.5 percent of the 2000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? Choose the correct choice from the following answers: A) 901 B) 989 C) 990 D) 991 E) 1,001
|
<gadget id="calculator">50 - 0.5</gadget>
<output>49.5</output>
<gadget id="calculator">49.5 / 100</gadget>
<output>0.495</output>
<gadget id="calculator">2_000 * 0.495</gadget>
<output>990</output>
<gadget id="calculator">990 + 1</gadget>
<output>991</output>
<result>D</result>
|
D
| 991 |
in a recent election , james received 0.5 percent of the 2000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ?
|
{
"A": "901",
"B": "989",
"C": "990",
"D": "991",
"E": "1,001"
}
|
add(multiply(2000, divide(subtract(50, 0.5), const_100)), const_1)
|
subtract(n2,n0)|divide(#0,const_100)|multiply(n1,#1)|add(#2,const_1)
|
james = ( 0.5 / 100 ) * 2000 = 10 votes to win = ( 50 / 100 ) * total votes + 1 = ( 50 / 100 ) * 2000 + 1 = 1001 remaining voted needed to win election = 1001 - 10 = 991 answer : option d
|
general
|
math_qa__P7U9RG1Ca1wnaIP2
|
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 12000, then find the annual income of A? Select:
A) rs . 420000 B) rs . 403200 C) rs . 201600 D) rs . 504000 E) none of these
|
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 + (3/25)</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">12_000 * (28/25)</gadget>
<output>13_440</output>
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">13_440 * (5/2)</gadget>
<output>33_600</output>
<gadget id="calculator">33_600 * 12</gadget>
<output>403_200</output>
<result>B</result>
|
B
| 403,200 |
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 12000, then find the annual income of A?
|
{
"A": "rs . 420000",
"B": "rs . 403200",
"C": "rs . 201600",
"D": "rs . 504000",
"E": "none of these"
}
|
multiply(multiply(multiply(12000, add(const_1, divide(12, const_100))), divide(5, 2)), 12)
|
divide(n0,n1)|divide(n2,const_100)|add(#1,const_1)|multiply(n3,#2)|multiply(#0,#3)|multiply(n2,#4)|
|
"b ' s monthly income = 12000 * 112 / 100 = rs . 13440 b ' s monthly income = 2 parts - - - - > rs . 13440 a ' s monthly income = 5 parts = 5 / 2 * 13440 = rs . 33600 a ' s annual income = rs . 33600 * 12 = rs . 403200 answer : b"
|
other
|
math_qa__LjlfKHTuPYLI0I0o
|
A shopkeeper sold an article offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount had been offered? Options.
A) 28.5 B) 27.675 C) 30 D) 50 E) none of these
|
<gadget id="calculator">100 + 42.5</gadget>
<output>142.5</output>
<gadget id="calculator">142.5 * 100</gadget>
<output>14_250</output>
<gadget id="calculator">100 - 5</gadget>
<output>95</output>
<gadget id="calculator">14_250 / 95</gadget>
<output>150</output>
<gadget id="calculator">150 - 100</gadget>
<output>50</output>
<result>D</result>
|
D
| 50 |
A shopkeeper sold an article offering a discount of 5% and earned a profit of 42.5%. What would have been the percentage of profit earned if no discount had been offered?
|
{
"A": "28.5",
"B": "27.675",
"C": "30",
"D": "50",
"E": "none of these"
}
|
subtract(divide(multiply(add(const_100, 42.5), const_100), subtract(const_100, 5)), const_100)
|
add(n1,const_100)|subtract(const_100,n0)|multiply(#0,const_100)|divide(#2,#1)|subtract(#3,const_100)|
|
"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 ã — ( 100 + 42.5 ) / ( 100 â ˆ ’ 5 ) = 150 hence , required % profit = 150 â € “ 100 = 50 % answer d"
|
gain
|
math_qa__PrPJR74o155uNHEl
|
Pants, Shorts and Shirts in a dresser are in the ratio of 7: 7: 10. If there are 14 Pants, the number of Shirts in the dresser is:
Options
A) 14 B) 7 C) 20 D) 70 E) 35
|
<gadget id="calculator">14 * 10</gadget>
<output>140</output>
<gadget id="calculator">140 / 7</gadget>
<output>20</output>
<result>C</result>
|
C
| 20 |
Pants, Shorts and Shirts in a dresser are in the ratio of 7: 7: 10. If there are 14 Pants, the number of Shirts in the dresser is:
|
{
"A": "14",
"B": "7",
"C": "20",
"D": "70",
"E": "35"
}
|
divide(multiply(14, 10), 7)
|
multiply(n2,n3)|divide(#0,n0)
|
explanation : let pants = 7 x , shorts = 7 x & shirts = 10 x . now , 7 x = 14 hence x = 2 . number of apples = 10 x = 20 . answer : c
|
other
|
math_qa__UjHWKQb5U4mty4PB
|
If x/(11p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x? Choose the correct choice:
A) 22 B) 33 C) 44 D) 66 E) 99
|
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<gadget id="calculator">22 * 2</gadget>
<output>44</output>
<result>C</result>
|
C
| 44 |
If x/(11p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
|
{
"A": "22",
"B": "33",
"C": "44",
"D": "66",
"E": "99"
}
|
multiply(multiply(11, const_2), const_2)
|
multiply(n0,const_2)|multiply(#0,const_2)|
|
"x / ( 11 p ) = even prime number x = even prime number * 11 p least value of x = lowest even prime number * 11 * lowest value of p = 2 * 11 * 2 = 44 answer c"
|
general
|
math_qa__ebqPNCZ5jGz5Ej43
|
List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median R of List I is equal to the sum of the median of list II and the mode of list II, then y equals Choose the correct answer
A) 5 B) 7 C) 8 D) r = 9 E) 10
|
<gadget id="calculator">6 + 4</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">16 - 7</gadget>
<output>9</output>
<result>D</result>
|
D
| 9 |
List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median R of List I is equal to the sum of the median of list II and the mode of list II, then y equals
|
{
"A": "5",
"B": "7",
"C": "8",
"D": "r = 9",
"E": "10"
}
|
subtract(multiply(add(divide(add(6, 4), 2), 3), 2), 7)
|
add(n1,n8)|divide(#0,n0)|add(n5,#1)|multiply(n0,#2)|subtract(#3,n2)
|
mode of list ii = 3 median r of list ii = 4 + 6 / 2 = 5 sum of mode + mean = 3 + 5 = 8 now to make 8 as the median we need to find a value of y such that if the no . of terms in list 1 are odd then y = 8 else if even then 7 + y / 2 = 8 here its even so 7 + y / 2 = 8 from this y = 9 ( d )
|
general
|
math_qa__GwHBOwzyd6jMVWaa
|
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues? Choose the correct choice: A) $ 28 B) $ 82 C) $ 110 D) $ 138 E) $ 194
|
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">16 * 1_000</gadget>
<output>16_000</output>
<gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">16_000 + 400</gadget>
<output>16_400</output>
<gadget id="calculator">80 + 4</gadget>
<output>84</output>
<gadget id="calculator">84 * 150</gadget>
<output>12_600</output>
<gadget id="calculator">16_400 + 12_600</gadget>
<output>29_000</output>
<gadget id="calculator">29_000 / 150</gadget>
<output>580/3 = around 193.333333</output>
<result>E</result>
|
E
| 194 |
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $4 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues?
|
{
"A": "$ 28",
"B": "$ 82",
"C": "$ 110",
"D": "$ 138",
"E": "$ 194"
}
|
divide(add(add(multiply(multiply(const_4, const_4), const_1000), multiply(4, const_100)), multiply(add(80, 4), 150)), 150)
|
add(n0,n1)|multiply(const_4,const_4)|multiply(n1,const_100)|multiply(#1,const_1000)|multiply(n3,#0)|add(#3,#2)|add(#5,#4)|divide(#6,n3)|
|
"by the question , the equation would be 150 p - 84 * 150 - 16500 = 0 p being the price we want to find and equation resulting zero means revenue and costs are equal so we can get the minimum price of the component . solving the equation , we get p = $ 194 . answer e for me ."
|
general
|
math_qa__RbBKqZQxoihefRY4
|
At a special sale, 9 tickets can be purchased for the price of 6 tickets. If 9 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 9 tickets? Choose the correct answer.
A) 20 % B) 33.3 % C) 40 % D) 60 % E) 66.6 %
|
<gadget id="calculator">9 * 9</gadget>
<output>81</output>
<gadget id="calculator">6 * 9</gadget>
<output>54</output>
<gadget id="calculator">81 - 54</gadget>
<output>27</output>
<gadget id="calculator">27 * 100</gadget>
<output>2_700</output>
<gadget id="calculator">2_700 / 81</gadget>
<output>100/3 = around 33.333333</output>
<result>B</result>
|
B
| 33.3 |
At a special sale, 9 tickets can be purchased for the price of 6 tickets. If 9 tickets are purchased at the sale, the amount saved will be What percent of the original price of the 9 tickets?
|
{
"A": "20 %",
"B": "33.3 %",
"C": "40 %",
"D": "60 %",
"E": "66.6 %"
}
|
divide(multiply(subtract(multiply(9, 9), multiply(6, 9)), const_100), multiply(9, 9))
|
multiply(n0,n0)|multiply(n0,n1)|subtract(#0,#1)|multiply(#2,const_100)|divide(#3,#0)|
|
"let the price of a ticket be rs . 100 , so 6 tickets cost 600 & 9 tickets cost 900 9 tickets purchased at price of 6 tickets ie . , for 600 , so amount saved s rs . 300 , % of 9 tickets = ( 300 / 900 ) * 100 = 33.3 % answer : b"
|
gain
|
math_qa__435MAemRznfhTfBJ
|
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 35 percent butterfat to obtain milk that is 20 percent butterfat? Pick one:
A) 6 B) 12 C) 14 D) 16 E) 28
|
<gadget id="calculator">35 - 20</gadget>
<output>15</output>
<gadget id="calculator">15 * 8</gadget>
<output>120</output>
<gadget id="calculator">120 / 10</gadget>
<output>12</output>
<result>B</result>
|
B
| 12 |
How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 35 percent butterfat to obtain milk that is 20 percent butterfat?
|
{
"A": "6",
"B": "12",
"C": "14",
"D": "16",
"E": "28"
}
|
divide(multiply(subtract(35, 20), 8), 10)
|
subtract(n2,n3)|multiply(n1,#0)|divide(#1,n0)|
|
"equate the fat : 0.1 x + 0.35 * 8 = 0.2 ( x + 8 ) - - > x = 12 . answer : b ."
|
general
|
math_qa__3nQvALYKWsGHaAxp
|
A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x? Select the correct option
A) 3
B) 7
C) 17
D) 31
E) 38
|
<gadget id="calculator">12 * 12</gadget>
<output>144</output>
<gadget id="calculator">3 + 11</gadget>
<output>14</output>
<gadget id="calculator">14 + 7</gadget>
<output>21</output>
<gadget id="calculator">21 + 9</gadget>
<output>30</output>
<gadget id="calculator">30 + 15</gadget>
<output>45</output>
<gadget id="calculator">45 + 13</gadget>
<output>58</output>
<gadget id="calculator">58 + 8</gadget>
<output>66</output>
<gadget id="calculator">66 + 19</gadget>
<output>85</output>
<gadget id="calculator">85 + 17</gadget>
<output>102</output>
<gadget id="calculator">102 + 21</gadget>
<output>123</output>
<gadget id="calculator">123 + 14</gadget>
<output>137</output>
<gadget id="calculator">144 - 137</gadget>
<output>7</output>
<result>B</result>
|
B
| 7 |
A students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x?
|
{
"A": "3",
"B": "7",
"C": "17",
"D": "31",
"E": "38"
}
|
subtract(multiply(12, 12), add(add(add(add(add(add(add(add(add(add(3, 11), 7), 9), 15), 13), 8), 19), 17), 21), 14))
|
add(n0,n1)|multiply(n11,n11)|add(n2,#0)|add(n3,#2)|add(n4,#3)|add(n5,#4)|add(n6,#5)|add(n7,#6)|add(n8,#7)|add(n9,#8)|add(n10,#9)|subtract(#1,#10)
|
adding all the numbers we get 137 + x given - ( 137 + x ) / 12 = 12 137 + x = 12 * 12 x = 144 - 137 x = 7 answer : b
|
general
|
math_qa__qABf6WdWwQ4GD5PA
|
Harkamal purchased 10 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Pick one: A) 1190 B) 1065 C) 1070 D) 1075 E) 1080
|
<gadget id="calculator">10 * 70</gadget>
<output>700</output>
<gadget id="calculator">9 * 55</gadget>
<output>495</output>
<gadget id="calculator">700 + 495</gadget>
<output>1_195</output>
<result>A</result>
|
A
| 1,190 |
Harkamal purchased 10 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
|
{
"A": "1190",
"B": "1065",
"C": "1070",
"D": "1075",
"E": "1080"
}
|
add(multiply(10, 70), multiply(9, 55))
|
multiply(n0,n1)|multiply(n2,n3)|add(#0,#1)|
|
"cost of 10 kg grapes = 70 × 10 = 700 . cost of 9 kg of mangoes = 55 × 9 = 490 . total cost he has to pay = 700 + 490 = 1190 a"
|
gain
|
math_qa__c531HUoWEmGwQe5V
|
A chemical supply company has 60 liters of a 40% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution? Choices: A) 12 B) 15 C) 20 D) 24 E) 30
|
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">60 * 40</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 / 100</gadget>
<output>24</output>
<gadget id="calculator">30 - 24</gadget>
<output>6</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<result>A</result>
|
A
| 12 |
A chemical supply company has 60 liters of a 40% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
|
{
"A": "12",
"B": "15",
"C": "20",
"D": "24",
"E": "30"
}
|
multiply(subtract(divide(60, const_2), divide(multiply(60, 40), const_100)), const_2)
|
divide(n0,const_2)|multiply(n0,n1)|divide(#1,const_100)|subtract(#0,#2)|multiply(#3,const_2)|
|
"60 liters of a 40 % hno 3 solution means hno 3 = 24 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 24 + x = 50 % of ( 60 + x ) or x = 12 . hence , a"
|
gain
|
math_qa__n7365wI0G3JaQfF2
|
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 36 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add? Choose the most appropriate option.
A) 17 litres B) 24 litres C) 11 litres D) 07 litres E) 38 litres
|
<gadget id="calculator">36 * 1_399.45</gadget>
<output>50_380.2</output>
<gadget id="calculator">36 * 262.85</gadget>
<output>9_462.6</output>
<gadget id="calculator">50_380.2 - 9_462.6</gadget>
<output>40_917.6</output>
<gadget id="calculator">3_104.35 - 1_399.45</gadget>
<output>1_704.9</output>
<gadget id="calculator">40_917.6 / 1_704.9</gadget>
<output>24</output>
<result>B</result>
|
B
| 24 |
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 36 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add?
|
{
"A": "17 litres",
"B": "24 litres",
"C": "11 litres",
"D": "07 litres",
"E": "38 litres"
}
|
divide(subtract(multiply(36, 1399.45), multiply(36, 262.85)), subtract(3104.35, 1399.45))
|
multiply(n0,n3)|multiply(n1,n3)|subtract(n2,n0)|subtract(#0,#1)|divide(#3,#2)|
|
"262.85 ( 36 ) + 3 , 104.35 x = 1 , 399.45 ( 36 + x ) solve the equation . 262.85 ( 36 ) + 3 , 104.35 x = 1 , 399.45 ( 36 + x ) 9 , 462.6 + 3 , 104.35 x = 50 , 380.2 + 1 , 399.45 x 9 , 462.6 + 1 , 704.9 x = 50 , 380.2 1 , 704.9 x = 40 , 917.6 x = 24 answer is b ."
|
general
|
math_qa__Oa2b90FoChvzJ31S
|
A man spends 35% of his income on food, 25% on children education and 80% of the remaining on house rent. What percent of his income he is left with? Choose the correct choice from the following options
A) 1 %
B) 8 %
C) 12 %
D) 5 %
E) 4 %
|
<gadget id="calculator">100 - 35</gadget>
<output>65</output>
<gadget id="calculator">65 - 25</gadget>
<output>40</output>
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">40 * 20</gadget>
<output>800</output>
<gadget id="calculator">800 / 100</gadget>
<output>8</output>
<result>B</result>
|
B
| 8 |
A man spends 35% of his income on food, 25% on children education and 80% of the remaining on house rent. What percent of his income he is left with?
|
{
"A": "1 %",
"B": "8 %",
"C": "12 %",
"D": "5 %",
"E": "4 %"
}
|
divide(multiply(subtract(subtract(const_100, 35), 25), subtract(const_100, 80)), const_100)
|
subtract(const_100,n0)|subtract(const_100,n2)|subtract(#0,n1)|multiply(#2,#1)|divide(#3,const_100)
|
let the total income be x then , income left = ( 100 - 80 ) % of x - [ 100 - ( 35 + 25 ) ] % of x = 20 % of 40 % of x = 8 % of x answer is b
|
gain
|
math_qa__jMCs8YSnaSSY2nFe
|
A container contains 20 liters of milk, From this container 2 liters of milk was taken out and replaced by water. This process was repeated further 2 times. How much milk is now contained by the container?
Select the correct option:
A) 14.58 liters
B) 20.16 liters
C) 22.45 liters
D) 26.95 liters
E) 31.45 liters
|
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">18 - 2</gadget>
<output>16</output>
<gadget id="calculator">16 - 2</gadget>
<output>14</output>
<result>A</result>
|
A
| 14.58 |
A container contains 20 liters of milk, From this container 2 liters of milk was taken out and replaced by water. This process was repeated further 2 times. How much milk is now contained by the container?
|
{
"A": "14.58 liters",
"B": "20.16 liters",
"C": "22.45 liters",
"D": "26.95 liters",
"E": "31.45 liters"
}
|
subtract(subtract(subtract(20, 2), 2), 2)
|
subtract(n0,n1)|subtract(#0,n1)|subtract(#1,n1)|
|
"amount of milk left after 3 operations = 20 ( 1 - 2 / 20 ) ^ 3 = 20 * 9 / 10 * 9 / 10 * 9 / 10 = 14.58 liters answer is a"
|
general
|
math_qa__jGjDe4IH7kLCKCAp
|
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2025 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units? Choose the correct choice from the following answers
A) 140 B) 150 C) 160 D) 170 E) 180
|
<gadget id="calculator">2_025 ** (1/2)</gadget>
<output>45</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">45 / 5</gadget>
<output>9</output>
<gadget id="calculator">2 * 9</gadget>
<output>18</output>
<gadget id="calculator">10 * 18</gadget>
<output>180</output>
<result>E</result>
|
E
| 180 |
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2025 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
|
{
"A": "140",
"B": "150",
"C": "160",
"D": "170",
"E": "180"
}
|
multiply(10, multiply(const_2, divide(sqrt(2025), divide(10, const_2))))
|
divide(n1,const_2)|sqrt(n0)|divide(#1,#0)|multiply(#2,const_2)|multiply(n1,#3)|
|
"given that the area of the square = 2025 sq . units = > side of square = √ 2025 = 45 units the radius of the circle = side of the square = 45 units length of the rectangle = 2 / 5 * 45 = 18 units given that breadth = 10 units area of the rectangle = lb = 18 * 10 = 180 sq . units answer : option e"
|
geometry
|
math_qa__IiLp9ZDkRps6B7oZ
|
Indu gave Bindu Rs.500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Select the correct option:
A) 0.2 B) 1.2 C) 3 D) 4 E) 0.8
|
<gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">1 + (1/25)</gadget>
<output>26/25 = around 1.04</output>
<gadget id="calculator">(26/25) ** 2</gadget>
<output>676/625 = around 1.0816</output>
<gadget id="calculator">500 * (676/625)</gadget>
<output>2_704/5 = around 540.8</output>
<gadget id="calculator">(2_704/5) - 500</gadget>
<output>204/5 = around 40.8</output>
<gadget id="calculator">500 * (1/25)</gadget>
<output>20</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">(204/5) - 40</gadget>
<output>4/5 = around 0.8</output>
<result>E</result>
|
E
| 0.8 |
Indu gave Bindu Rs.500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
|
{
"A": "0.2",
"B": "1.2",
"C": "3",
"D": "4",
"E": "0.8"
}
|
subtract(subtract(multiply(500, power(add(const_1, divide(4, const_100)), 2)), 500), multiply(multiply(500, divide(4, const_100)), 2))
|
divide(n2,const_100)|add(#0,const_1)|multiply(n0,#0)|multiply(n1,#2)|power(#1,n1)|multiply(n0,#4)|subtract(#5,n0)|subtract(#6,#3)|
|
"500 = d ( 100 / 4 ) 2 d = 0.8 answer : e"
|
gain
|
math_qa__BetvgXAjFsMe8k0k
|
If each edge of a cube is increased by 50%, find the percentage increase in Its surface area Select the correct option.
A) 125 % B) 129 % C) 185 % D) 725 % E) 145 %
|
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) ** 2</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">(9/4) * 6</gadget>
<output>27/2 = around 13.5</output>
<gadget id="calculator">(27/2) - 6</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(15/2) / 6</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) * 100</gadget>
<output>125</output>
<result>A</result>
|
A
| 125 |
If each edge of a cube is increased by 50%, find the percentage increase in Its surface area
|
{
"A": "125 %",
"B": "129 %",
"C": "185 %",
"D": "725 %",
"E": "145 %"
}
|
multiply(divide(subtract(multiply(power(divide(const_3, const_2), const_2), multiply(const_3, const_2)), multiply(const_3, const_2)), multiply(const_3, const_2)), const_100)
|
divide(const_3,const_2)|multiply(const_2,const_3)|power(#0,const_2)|multiply(#1,#2)|subtract(#3,#1)|divide(#4,#1)|multiply(#5,const_100)
|
let the edge = a cm so increase by 50 % = = total surface area of original cube = tsa of new cube = = = increase in area = = increase % = = 125 % answer : a
|
geometry
|
math_qa__32Mv2sxGhOcKjx8r
|
12 : 8 seconds :: ? : 4 minutes
Select the correct option.
A) 10 B) 15 C) 6 D) 8 E) 7
|
<gadget id="calculator">12 / 8</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">4 * (3/2)</gadget>
<output>6</output>
<result>C</result>
|
C
| 6 |
12 : 8 seconds :: ? : 4 minutes
|
{
"A": "10",
"B": "15",
"C": "6",
"D": "8",
"E": "7"
}
|
multiply(4, divide(12, 8))
|
divide(n0,n1)|multiply(n2,#0)|
|
"12 * 4 = 8 * x x = 6 answer : c"
|
physics
|
math_qa__bUE0ZerW2ZdzufCN
|
A hall 36m long and 15m broad is to be paved with stones, each measuring 4dm by 5 dm. The number of stones required is: Choose the correct choice from the following: A) 180 B) 2700 C) 18 D) 18000 E) 1.8
|
<gadget id="calculator">36 * 15</gadget>
<output>540</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">540 / (1/5)</gadget>
<output>2_700</output>
<result>B</result>
|
B
| 2,700 |
A hall 36m long and 15m broad is to be paved with stones, each measuring 4dm by 5 dm. The number of stones required is:
|
{
"A": "180",
"B": "2700",
"C": "18",
"D": "18000",
"E": "1.8"
}
|
divide(multiply(36, 15), divide(multiply(4, 5), const_100))
|
multiply(n0,n1)|multiply(n2,n3)|divide(#1,const_100)|divide(#0,#2)|
|
"area of the hall = 3600 * 1500 area of each stone = ( 40 * 50 ) therefore , number of stones = ( 3600 * 1500 / 40 * 50 ) = 2700 answer : b"
|
physics
|
math_qa__sQ9L7HhmPlsWyWN9
|
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent R? Choose the correct choice from the following answers
A) 20 %
B) 80 %
C) 100 %
D) 180 %
E) 200 %
|
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">20 - 10</gadget>
<output>10</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<gadget id="calculator">1 * 100</gadget>
<output>100</output>
<result>C</result>
|
C
| 100 |
Jane makes toy bears. When she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent R?
|
{
"A": "20 %",
"B": "80 %",
"C": "100 %",
"D": "180 %",
"E": "200 %"
}
|
multiply(divide(10, subtract(subtract(const_100, 80), 10)), const_100)
|
subtract(const_100,n0)|subtract(#0,n1)|divide(n1,#1)|multiply(#2,const_100)|
|
"c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . r = [ ( 2 - 1 ) / 1 ] * 100 % = 100 % . c"
|
physics
|
math_qa__7J6kLXiMCnwwoHFs
|
The cost to park a car in a certain parking garage is $15.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours? Answers
A) $ 1.09 B) $ 1.67 C) $ 2.25 D) $ 2.37 E) $ 3.03
|
<gadget id="calculator">9 - 2</gadget>
<output>7</output>
<gadget id="calculator">1.75 * 7</gadget>
<output>12.25</output>
<gadget id="calculator">15 + 12.25</gadget>
<output>27.25</output>
<gadget id="calculator">27.25 / 9</gadget>
<output>3.027778</output>
<result>E</result>
|
E
| 3.03 |
The cost to park a car in a certain parking garage is $15.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
|
{
"A": "$ 1.09",
"B": "$ 1.67",
"C": "$ 2.25",
"D": "$ 2.37",
"E": "$ 3.03"
}
|
divide(add(15, multiply(1.75, subtract(9, 2))), 9)
|
subtract(n4,n1)|multiply(n2,#0)|add(n0,#1)|divide(#2,n4)
|
total cost of parking for 9 hours = 15 $ for the first 2 hours and then 1.75 for ( 9 - 2 ) hours = 15 + 7 * 1.75 = 27.25 thus the average parking price = 27.25 / 9 = 3.03 $ e is the correct answer .
|
general
|
math_qa__I4Z4tBZd3vLX1XRR
|
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight? Select the correct option.
A) 2 : 9 B) 2 : 7 C) 1 : 6 D) 1 : 4 E) 1 : 3
|
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">10 - 4</gadget>
<output>6</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<result>E</result>
|
E
| 0.333333 |
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
|
{
"A": "2 : 9",
"B": "2 : 7",
"C": "1 : 6",
"D": "1 : 4",
"E": "1 : 3"
}
|
divide(subtract(4, 2), subtract(10, 4))
|
subtract(n2,n1)|subtract(n0,n2)|divide(#0,#1)|
|
"ratio of a / ratio of b = ( average wt of mixture - wt of b ) / ( wt of a - average wt of mixture ) = > ratio of a / ratio of b = ( 4 - 2 ) / ( 10 - 4 ) = 2 / 6 = 1 / 3 so they should be mixed in the ratio 1 : 3 answer - e"
|
general
|
math_qa__SvhIXLQKPkti4lmW
|
A trader sells 75 meters of cloth for Rs. 4950 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth? Pick: A) 51 B) 88 C) 90 D) 42 E) 22
|
<gadget id="calculator">4_950 / 75</gadget>
<output>66</output>
<gadget id="calculator">66 - 15</gadget>
<output>51</output>
<result>A</result>
|
A
| 51 |
A trader sells 75 meters of cloth for Rs. 4950 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
|
{
"A": "51",
"B": "88",
"C": "90",
"D": "42",
"E": "22"
}
|
subtract(divide(4950, 75), 15)
|
divide(n1,n0)|subtract(#0,n2)|
|
"sp of 1 m of cloth = 4950 / 75 = rs . 66 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 66 - rs . 15 = rs . 51 answer : a"
|
physics
|
math_qa__rqnnDTcxnupFEpXa
|
The contents of a certain box consist of 14 apples and 12 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples? Choose the most appropriate option: A) 3 B) 6 C) 14 D) 17 E) 20
|
<gadget id="calculator">14 + 12</gadget>
<output>26</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">14 / (7/10)</gadget>
<output>20</output>
<gadget id="calculator">26 - 20</gadget>
<output>6</output>
<result>B</result>
|
B
| 6 |
The contents of a certain box consist of 14 apples and 12 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
|
{
"A": "3",
"B": "6",
"C": "14",
"D": "17",
"E": "20"
}
|
subtract(add(14, 12), divide(14, divide(70, const_100)))
|
add(n0,n1)|divide(n2,const_100)|divide(n0,#1)|subtract(#0,#2)|
|
"the objective here is that 70 % of the fruit in the box should be apples . now , there are 14 apples at start and there is no talk of removing any apples , so number of apples should remain 14 and they should constitute 70 % of total fruit , so total fruit = 14 / 0.7 = 20 so we should have 20 - 14 = 6 oranges . right now , there are 12 oranges , so to get to 6 oranges , we should remove 12 - 6 = 6 oranges . answer b"
|
general
|
math_qa__Uj2hVq6zFfNQyxiw
|
he total marks obtained by a student in Physics, Chemistry and Mathematics is 110 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics? Choose the correct choice from the following choices:
A) 55 B) 65 C) 75 D) 85 E) 95
|
<gadget id="calculator">110 / 2</gadget>
<output>55</output>
<result>A</result>
|
A
| 55 |
he total marks obtained by a student in Physics, Chemistry and Mathematics is 110 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
|
{
"A": "55",
"B": "65",
"C": "75",
"D": "85",
"E": "95"
}
|
divide(110, const_2)
|
divide(n0,const_2)|
|
"let the marks obtained by the student in physics , chemistry and mathematics be p , c and m respectively . p + c + m = 110 + p c + m = 110 average mark obtained by the student in chemistry and mathematics = ( c + m ) / 2 = 110 / 2 = 55 . answer : a"
|
general
|
math_qa__oygT8ocUzH1wKk1M
|
The diagonal of a square is 4 ?2 cm. What will be the diameter of another square if their area is double that of the first square? Choose the most appropriate option:
A) 8 cm
B) 9 cm
C) 10 cm
D) 11 cm
E) 12 cm
|
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">64 ** (1/2)</gadget>
<output>8</output>
<result>A</result>
|
A
| 8 |
The diagonal of a square is 4 ?2 cm. What will be the diameter of another square if their area is double that of the first square?
|
{
"A": "8 cm",
"B": "9 cm",
"C": "10 cm",
"D": "11 cm",
"E": "12 cm"
}
|
sqrt(square_area(multiply(4, 2)))
|
multiply(n0,n1)|square_area(#0)|sqrt(#1)
|
d 1 = 4 ? 2 = > area = 1 / 2 d 12 = 1 / 2 * ( 4 ? 2 ) 2 = 16 cm 2 area of new square = ( 2 * 16 ) cm 2 = 32 cm 2 therefore 1 / 2 * d 22 = 32 = > d 22 = 64 = > d 2 = 8 cm answer a
|
geometry
|
math_qa__BaNPPfsuz5pRZzez
|
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is? Pick one:
A) 166 B) 178 C) 342 D) 199 E) 112
|
<gadget id="calculator">400 * 10</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 / 100</gadget>
<output>40</output>
<gadget id="calculator">400 - 40</gadget>
<output>360</output>
<gadget id="calculator">360 * 5</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 / 100</gadget>
<output>18</output>
<gadget id="calculator">360 - 18</gadget>
<output>342</output>
<result>C</result>
|
C
| 342 |
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
|
{
"A": "166",
"B": "178",
"C": "342",
"D": "199",
"E": "112"
}
|
subtract(subtract(400, divide(multiply(400, 10), const_100)), divide(multiply(subtract(400, divide(multiply(400, 10), const_100)), 5), const_100))
|
multiply(n0,n1)|divide(#0,const_100)|subtract(n0,#1)|multiply(n2,#2)|divide(#3,const_100)|subtract(#2,#4)|
|
"400 * ( 90 / 100 ) * ( 95 / 100 ) = 342 answer : c"
|
gain
|
math_qa__pYQvaGWSvD2Hdq8m
|
A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres? Choose the most appropriate option:
A) 2812 B) 8231 C) 2734 D) 4222 E) 4254
|
<gadget id="calculator">10_936 / 4</gadget>
<output>2_734</output>
<result>C</result>
|
C
| 2,734 |
A volume of 10936 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres?
|
{
"A": "2812",
"B": "8231",
"C": "2734",
"D": "4222",
"E": "4254"
}
|
divide(10936, 4)
|
divide(n0,n1)
|
a volume of 4 l can be kept in 1 hemisphere therefore , a volume of 10936 l can be kept in ( 10936 / 4 ) hemispheres ans . 2734 answer : c
|
geometry
|
math_qa__diT4jnBXf4ilBGHd
|
Venki takes a trip and drives 5 hours from Town X to Town Z at a rate of 80 miles per hour. On her way back, Venki drives 45 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Venki to drive from Town Z to Town Y? Choose the correct choice from the following choices:
A) 1.01
B) 4.44
C) 11.5
D) 1.75
E) 2.14
|
<gadget id="calculator">5 * 80</gadget>
<output>400</output>
<gadget id="calculator">400 / 2</gadget>
<output>200</output>
<gadget id="calculator">200 / 45</gadget>
<output>40/9 = around 4.444444</output>
<result>B</result>
|
B
| 4.44 |
Venki takes a trip and drives 5 hours from Town X to Town Z at a rate of 80 miles per hour. On her way back, Venki drives 45 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Venki to drive from Town Z to Town Y?
|
{
"A": "1.01",
"B": "4.44",
"C": "11.5",
"D": "1.75",
"E": "2.14"
}
|
divide(divide(multiply(5, 80), const_2), 45)
|
multiply(n0,n1)|divide(#0,const_2)|divide(#1,n2)
|
distance from x to z = 5 hr * 80 mph = 400 miles hence distance from y to z = 1 / 2 * 400 = 200 time = 200 / 45 = 4.44 hrs imo : b
|
physics
|
math_qa__fag2FVjif2kUhiYt
|
If a rectangle have length 16 cm and diagonal 20cm.calculate its area. Choose one:
A) 185 B) 132 C) 165 D) 192 E) 212
|
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">16 ** 2</gadget>
<output>256</output>
<gadget id="calculator">400 - 256</gadget>
<output>144</output>
<gadget id="calculator">144 ** (1/2)</gadget>
<output>12</output>
<gadget id="calculator">12 * 16</gadget>
<output>192</output>
<result>D</result>
|
D
| 192 |
If a rectangle have length 16 cm and diagonal 20cm.calculate its area.
|
{
"A": "185",
"B": "132",
"C": "165",
"D": "192",
"E": "212"
}
|
multiply(sqrt(subtract(power(20, const_2), power(16, const_2))), 16)
|
power(n1,const_2)|power(n0,const_2)|subtract(#0,#1)|sqrt(#2)|multiply(n0,#3)
|
breadth = √ 20 ^ 2 - 16 ^ 2 = √ 144 = 12 cm area = 16 * 12 = 192 sq . cm answer d
|
geometry
|
math_qa__Q2hnBGquJSgMVQvb
|
a qualified worker digs a well in 5 hours . he invites 2 apprentices , both capable of working 3 / 5 as fast and 2 trainees both working 1 / 5 as fast as he . if the 5 - person team digs the same well , how much time does the team need to finish the job ? Choose the correct choice from the following answers:
A) 1 : 42
B) 1 : 34
C) 1 : 44
D) 1 : 54
E) 2 : 14
|
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * (1/5)</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(1/25) * 2</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">(2/25) + (1/25)</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(3/25) + (1/5)</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">(3/25) + (8/25)</gadget>
<output>11/25 = around 0.44</output>
<gadget id="calculator">1 + (11/25)</gadget>
<output>36/25 = around 1.44</output>
<gadget id="calculator">(36/25) / 60</gadget>
<output>3/125 = around 0.024</output>
<result>A</result>
|
A
| 0.02381 |
a qualified worker digs a well in 5 hours . he invites 2 apprentices , both capable of working 3 / 5 as fast and 2 trainees both working 1 / 5 as fast as he . if the 5 - person team digs the same well , how much time does the team need to finish the job ?
|
{
"A": "1 : 42",
"B": "1 : 34",
"C": "1 : 44",
"D": "1 : 54",
"E": "2 : 14"
}
|
divide(add(1, add(divide(const_12, const_100), add(add(multiply(multiply(divide(1, 5), divide(1, 5)), 2), multiply(divide(1, 5), divide(1, 5))), divide(1, 5)))), const_60)
|
divide(n5,n0)|divide(const_12,const_100)|multiply(#0,#0)|multiply(n1,#2)|add(#3,#2)|add(#4,#0)|add(#5,#1)|add(n5,#6)|divide(#7,const_60)
|
and answer is correct as you have calculated : 100 / 59 hrs that is 1.71 hrs - 1 hr and 42 minutes , so 1 : 42 , hence , a .
|
general
|
math_qa__IZYjZhZw3lIgeHRn
|
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter? Choose the correct choice:
A) rs . 150 B) rs . 132 C) rs . 100 D) rs . 125 E) rs . 225
|
<gadget id="calculator">28 / 2</gadget>
<output>14</output>
<gadget id="calculator">2 * pi * 14</gadget>
<output>28*pi = around 87.964594</output>
<gadget id="calculator">(28*pi) * 1.5</gadget>
<output>42.0*pi = around 131.946891</output>
<result>B</result>
|
B
| 132 |
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
|
{
"A": "rs . 150",
"B": "rs . 132",
"C": "rs . 100",
"D": "rs . 125",
"E": "rs . 225"
}
|
multiply(circumface(divide(28, const_2)), 1.5)
|
divide(n0,const_2)|circumface(#0)|multiply(n1,#1)
|
2 * 22 / 7 * 14 = 88 88 * 1 1 / 2 = rs . 132 answer : b
|
physics
|
math_qa__NmT6syfCdWCwjB0k
|
Truck X is 14 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 57 miles per hour and Truck Y is traveling at an average speed of 63 miles per hour, how long will it take Truck Y to overtake and drive 4 miles ahead of Truck X?
Answers:
A) 5 hours B) 3 hours 20 minutes C) 3 hours D) 2 hours 45 minutes E) 8 hours
|
<gadget id="calculator">14 + 4</gadget>
<output>18</output>
<gadget id="calculator">63 - 57</gadget>
<output>6</output>
<gadget id="calculator">18 / 6</gadget>
<output>3</output>
<result>C</result>
|
C
| 3 |
Truck X is 14 miles ahead of Truck Y, which is traveling the same direction along the same route as Truck X. If Truck X is traveling at an average speed of 57 miles per hour and Truck Y is traveling at an average speed of 63 miles per hour, how long will it take Truck Y to overtake and drive 4 miles ahead of Truck X?
|
{
"A": "5 hours",
"B": "3 hours 20 minutes",
"C": "3 hours",
"D": "2 hours 45 minutes",
"E": "8 hours"
}
|
divide(add(14, 4), subtract(63, 57))
|
add(n0,n3)|subtract(n2,n1)|divide(#0,#1)|
|
"relative speed = 63 - 57 = 6 miles per hour dist required = 14 + 4 = 18 miles time taken to overtake = 18 / 6 = 3 hours . c is the answer ."
|
physics
|
math_qa__eMqSqvILFJme3qe2
|
Last year, for every 100 million vehicles that traveled on a certain highway, 80 vehicles were involved in accidents. If 4 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000) Answers: A) 1600 B) 3200 C) 800 D) 400 E) 200
|
<gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">80 * 40</gadget>
<output>3_200</output>
<result>B</result>
|
B
| 3,200 |
Last year, for every 100 million vehicles that traveled on a certain highway, 80 vehicles were involved in accidents. If 4 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
|
{
"A": "1600",
"B": "3200",
"C": "800",
"D": "400",
"E": "200"
}
|
multiply(80, multiply(4, const_10))
|
multiply(n2,const_10)|multiply(n1,#0)|
|
"to solve we will set up a proportion . we know that “ 100 million vehicles is to 80 accidents as 4 billion vehicles is to x accidents ” . to express everything in terms of “ millions ” , we can use 4,000 million rather than 4 billion . creating a proportion we have : 100 / 80 = 4,000 / x cross multiplying gives us : 100 x = 4,000 * 80 x = 40 * 80 = 3200 answer : b"
|
general
|
math_qa__eQRXGdnC2CI5DCQH
|
On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 20 miles on Saturday and Sunday, how many miles did Bill run on Sunday? Choose one:
A) 5 B) 6 C) 7 D) 8 E) 9
|
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">4 + 8</gadget>
<output>12</output>
<gadget id="calculator">20 - 12</gadget>
<output>8</output>
<gadget id="calculator">8 / 4</gadget>
<output>2</output>
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<result>B</result>
|
B
| 6 |
On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 20 miles on Saturday and Sunday, how many miles did Bill run on Sunday?
|
{
"A": "5",
"B": "6",
"C": "7",
"D": "8",
"E": "9"
}
|
add(divide(subtract(20, add(4, multiply(const_2, 4))), 4), 4)
|
multiply(n0,const_2)|add(n0,#0)|subtract(n1,#1)|divide(#2,n0)|add(n0,#3)
|
let bill run x on saturday , so he will run x + 4 on sunday . . julia will run 2 * ( x + 4 ) on sunday . . totai = x + x + 4 + 2 x + 8 = 20 . . 4 x + 12 = 20 . . x = 2 . . ans = x + 4 = 2 + 4 = 6 answer b
|
general
|
math_qa__Enfk9n6spojC9blP
|
log root(8)/log 8 is equal to Choices.
A) 1 / 2 B) 1 / 3 C) 1 / 4 D) 1 / 5 E) 1 / 6
|
<gadget id="calculator">8 / 4</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>A</result>
|
A
| 0.5 |
log root(8)/log 8 is equal to
|
{
"A": "1 / 2",
"B": "1 / 3",
"C": "1 / 4",
"D": "1 / 5",
"E": "1 / 6"
}
|
divide(const_1, divide(8, const_4))
|
divide(n0,const_4)|divide(const_1,#0)
|
= > log ( 8 ) ^ 1 / 2 / log 8 = 1 / 2 log 8 / log 8 = 1 / 2 answer a
|
general
|
math_qa__p6sGMdf3mqop4Gv7
|
One-third less than 40% of 180 is equal to: Select the correct option
A) 15 B) 30 C) 35 D) 40 E) 48
|
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 180</gadget>
<output>72</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 72</gadget>
<output>24</output>
<gadget id="calculator">72 - 24</gadget>
<output>48</output>
<result>E</result>
|
E
| 48 |
One-third less than 40% of 180 is equal to:
|
{
"A": "15",
"B": "30",
"C": "35",
"D": "40",
"E": "48"
}
|
subtract(multiply(divide(40, const_100), 180), multiply(divide(const_1, const_3), multiply(divide(40, const_100), 180)))
|
divide(n0,const_100)|divide(const_1,const_3)|multiply(n1,#0)|multiply(#1,#2)|subtract(#2,#3)|
|
"lots of ways to tackle this . 40 % of 180 = 72 1 / 3 of 72 = 24 so , 1 / 3 less than 72 is equal to 72 - 24 = 48 answer : e"
|
general
|
math_qa__rkWmuzFp7dZUf6Zv
|
A can finish a piece of work in 4 days. B can do it in 12 days. They work together for two days and then A goes away. In how many days will B finish the work? Choose one.
A) 4 days B) 5 days C) 6 days D) 7 days E) 8 days
|
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 2</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/2) + (1/6)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / (1/12)</gadget>
<output>4</output>
<result>A</result>
|
A
| 4 |
A can finish a piece of work in 4 days. B can do it in 12 days. They work together for two days and then A goes away. In how many days will B finish the work?
|
{
"A": "4 days",
"B": "5 days",
"C": "6 days",
"D": "7 days",
"E": "8 days"
}
|
divide(subtract(const_1, add(multiply(divide(const_1, 4), const_2), multiply(divide(const_1, 12), const_2))), divide(const_1, 12))
|
divide(const_1,n0)|divide(const_1,n1)|multiply(#0,const_2)|multiply(#1,const_2)|add(#2,#3)|subtract(const_1,#4)|divide(#5,#1)|
|
"2 / 4 + ( 2 + x ) / 12 = 1 = > x = 4 days answer : a"
|
physics
|
math_qa__PzUcpqXM0RdhqzlU
|
When positive integer x is divided by 9, the quotient is y and the remainder is 4. When 2x is divided by 7, the quotient is 2y and the remainder is 1. What is the value of 5y – x? Choose the correct choice from the following answers: A) - 3 B) 3 C) - 4 D) 4 E) - 5
|
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">2 * 9</gadget>
<output>18</output>
<gadget id="calculator">14 - 18</gadget>
<output>-4</output>
<gadget id="calculator">7 / (-4)</gadget>
<output>-7/4 = around -1.75</output>
<gadget id="calculator">5 * (-7/4)</gadget>
<output>-35/4 = around -8.75</output>
<gadget id="calculator">9 * (-7/4)</gadget>
<output>-63/4 = around -15.75</output>
<gadget id="calculator">(-63/4) + 4</gadget>
<output>-47/4 = around -11.75</output>
<gadget id="calculator">(-35/4) - (-47/4)</gadget>
<output>3</output>
<result>B</result>
|
B
| 3 |
When positive integer x is divided by 9, the quotient is y and the remainder is 4. When 2x is divided by 7, the quotient is 2y and the remainder is 1. What is the value of 5y – x?
|
{
"A": "- 3",
"B": "3",
"C": "- 4",
"D": "4",
"E": "- 5"
}
|
subtract(multiply(5, divide(subtract(multiply(2, 4), 1), subtract(multiply(7, 2), multiply(2, 9)))), add(multiply(9, divide(subtract(multiply(2, 4), 1), subtract(multiply(7, 2), multiply(2, 9)))), 4))
|
multiply(n1,n2)|multiply(n3,n4)|multiply(n0,n2)|subtract(#0,n5)|subtract(#1,#2)|divide(#3,#4)|multiply(n6,#5)|multiply(n0,#5)|add(n1,#7)|subtract(#6,#8)|
|
"( 1 ) x = 9 y + 4 ( 2 ) 2 x = 14 y + 1 ( 2 ) - ( 1 ) : x = 5 y - 3 5 y - x = 3 the answer is b ."
|
general
|
math_qa__OT6I103UMV0dVFTI
|
a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
Choose the correct choice from the following answers:
A) 4 B) 5 C) 6 D) 7 E) 8
|
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<result>B</result>
|
B
| 5 |
a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
|
{
"A": "4",
"B": "5",
"C": "6",
"D": "7",
"E": "8"
}
|
divide(add(add(4, 3), 3), 2)
|
add(n0,n1)|add(n2,#0)|divide(#1,n3)|
|
"total subjects = 4 + 3 + 3 = 10 max subjects by 1 teacher = 2 so , min of teachers required = 10 / 2 = 5 answer : b"
|
general
|
math_qa__aPKfi7tmRGPiErJl
|
The tax on a commodity is diminished by 35% but its consumption is increased by 15%. Find the decrease percent in the revenue derived from it? Choose the correct choice from the following answers: A) 18 % B) 72 % C) 32 % D) 25.25 % E) 52.25 %
|
<gadget id="calculator">100 + 15</gadget>
<output>115</output>
<gadget id="calculator">100 - 35</gadget>
<output>65</output>
<gadget id="calculator">115 * 65</gadget>
<output>7_475</output>
<gadget id="calculator">7_475 / 100</gadget>
<output>299/4 = around 74.75</output>
<gadget id="calculator">100 - (299/4)</gadget>
<output>101/4 = around 25.25</output>
<result>D</result>
|
D
| 25.25 |
The tax on a commodity is diminished by 35% but its consumption is increased by 15%. Find the decrease percent in the revenue derived from it?
|
{
"A": "18 %",
"B": "72 %",
"C": "32 %",
"D": "25.25 %",
"E": "52.25 %"
}
|
subtract(const_100, divide(multiply(add(const_100, 15), subtract(const_100, 35)), const_100))
|
add(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(const_100,#3)|
|
"100 * 100 = 10000 65 * 115 = 7475 10000 - - - - - - - 2525 100 - - - - - - - ? = 25.25 % answer : d"
|
general
|
math_qa__1NwgEAH5rcaNtkKT
|
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ? Choices
A) 4 B) 8 C) 12 D) 16 E) 32
|
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>D</result>
|
D
| 16 |
A university cafeteria offers 4 flavors of pizza - pepperoni, chicken, Hawaiian and vegetarian. If a customer has an option (but not the obligation) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available ?
|
{
"A": "4",
"B": "8",
"C": "12",
"D": "16",
"E": "32"
}
|
multiply(const_4, 4)
|
multiply(n0,const_4)
|
there are 4 flavors of pizza and each can be : 1 . without cheese and mushrooms ; 2 . with cheese ; 3 . with mushrooms ; 4 . with cheese and mushrooms . so , the total number of pizza varieties is 4 * 4 = 16 . answer : d .
|
general
|
math_qa__D3TNCwUTnJdV0JeG
|
A tank can be filled by pipe A in 5 hours and by pipe B in 8 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled? Choose the correct option.
A) 2.6 hours B) 3.6 hours C) 4.6 hours D) 5.6 hours E) none of these
|
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/8) + (1/5)</gadget>
<output>13/40 = around 0.325</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(13/40) - (1/20)</gadget>
<output>11/40 = around 0.275</output>
<gadget id="calculator">1 / (11/40)</gadget>
<output>40/11 = around 3.636364</output>
<result>B</result>
|
B
| 3.6 |
A tank can be filled by pipe A in 5 hours and by pipe B in 8 hours, each pump working on its own. When the tank is full and a drainage hole is open, the water is drained in 20 hours. If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled?
|
{
"A": "2.6 hours",
"B": "3.6 hours",
"C": "4.6 hours",
"D": "5.6 hours",
"E": "none of these"
}
|
divide(const_1, subtract(add(divide(const_1, 8), divide(const_1, 5)), divide(const_1, 20)))
|
divide(const_1,n1)|divide(const_1,n0)|divide(const_1,n2)|add(#0,#1)|subtract(#3,#2)|divide(const_1,#4)
|
let ' s first find the rates of the pumps and the drainage hole pump a : 1 / 5 , pump b : 1 / 8 , drainage hole : 1 / 20 let t be the time for the pumps to fill the tank . the pumps , add water into the tank however the drainage hole drains water out of the tank , hence t ( 1 / 5 + 1 / 8 - 1 / 20 ) = 1 solve for t t = 3.6 hours answer b
|
physics
|
math_qa__nPQ2tfw7gLrIgGle
|
A and B invests Rs.3000 and Rs.5000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Pick one.
A) 8 : 8 B) 9 : 8 C) 9 : 7 D) 9 : 5 E) 9 : 10
|
<gadget id="calculator">3_000 * 6</gadget>
<output>18_000</output>
<gadget id="calculator">3_000 * 2</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 * 6</gadget>
<output>36_000</output>
<gadget id="calculator">18_000 + 36_000</gadget>
<output>54_000</output>
<gadget id="calculator">6 + 6</gadget>
<output>12</output>
<gadget id="calculator">5_000 * 12</gadget>
<output>60_000</output>
<gadget id="calculator">54_000 / 60_000</gadget>
<output>9/10 = around 0.9</output>
<result>E</result>
|
E
| 0.9 |
A and B invests Rs.3000 and Rs.5000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
|
{
"A": "8 : 8",
"B": "9 : 8",
"C": "9 : 7",
"D": "9 : 5",
"E": "9 : 10"
}
|
divide(add(multiply(3000, 6), multiply(multiply(3000, const_2), 6)), multiply(5000, add(6, 6)))
|
add(n2,n2)|multiply(n0,n2)|multiply(n0,const_2)|multiply(n2,#2)|multiply(n1,#0)|add(#1,#3)|divide(#5,#4)
|
( 3 * 6 + 6 * 6 ) : ( 5 * 12 ) 54 : 60 = > 9 : 10 answer : e
|
gain
|
math_qa__80Nzy7CAD0v0TYq7
|
Express a speed of 720 kmph in meters per second? Choose the correct choice from the following: A) 120 mps B) 200 mps C) 181 mps D) 190 mps E) 125 mps
|
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 720</gadget>
<output>200</output>
<result>B</result>
|
B
| 200 |
Express a speed of 720 kmph in meters per second?
|
{
"A": "120 mps",
"B": "200 mps",
"C": "181 mps",
"D": "190 mps",
"E": "125 mps"
}
|
multiply(const_0_2778, 720)
|
multiply(n0,const_0_2778)|
|
"720 * 5 / 18 = 200 mps answer : b"
|
physics
|
math_qa__VngWpYH7Sz6uK4Wu
|
The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Choose the correct choice from the following answers:
A) 50 m
B) 60 m
C) 65 m
D) 75 m
E) 80 m
|
<gadget id="calculator">5_300 / 26.5</gadget>
<output>200</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">200 - 40</gadget>
<output>160</output>
<gadget id="calculator">160 / 4</gadget>
<output>40</output>
<gadget id="calculator">40 + 20</gadget>
<output>60</output>
<result>B</result>
|
B
| 60 |
The length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
|
{
"A": "50 m",
"B": "60 m",
"C": "65 m",
"D": "75 m",
"E": "80 m"
}
|
add(divide(subtract(divide(5300, 26.5), multiply(20, const_2)), const_4), 20)
|
divide(n2,n1)|multiply(n0,const_2)|subtract(#0,#1)|divide(#2,const_4)|add(n0,#3)
|
let breadth = x metres . then , length = ( x + 20 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 20 ) + x ] = 200 2 x + 20 = 100 2 x = 80 x = 40 . hence , length = x + 20 = 60 m b
|
physics
|
math_qa__n0jWezFfd4448LoH
|
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase R in sales? Choose the correct choice from the following choices: A) 2 % B) 17 % C) 20 % D) 65 % E) 83 %
|
<gadget id="calculator">385 - 320</gadget>
<output>65</output>
<gadget id="calculator">65 / 320</gadget>
<output>13/64 = around 0.203125</output>
<gadget id="calculator">(13/64) * 100</gadget>
<output>325/16 = around 20.3125</output>
<result>C</result>
|
C
| 20 |
A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase R in sales?
|
{
"A": "2 %",
"B": "17 %",
"C": "20 %",
"D": "65 %",
"E": "83 %"
}
|
multiply(divide(subtract(385, 320), 320), const_100)
|
subtract(n0,n1)|divide(#0,n1)|multiply(#1,const_100)
|
last year ' s sales = $ 320 million ; this year ' s sales = $ 385 million ; increase r = $ 65 million . now , 20 % of $ 320 million is $ 64 million , which is very close to actual increase of $ 65 million . answer : c .
|
general
|
math_qa__eLJxTn0jSE8lsgty
|
A person travels equal distances with speeds of 3km/hr, 6km/hr, 9km/hr. and takes a total time of 11minutes. Find the total distance ? Choose the correct option:
A) 1 km B) 500 mts C) 900 mts D) 2 km E) 250 mts
|
<gadget id="calculator">11 / 60</gadget>
<output>11/60 = around 0.183333</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/3) + (1/6)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/2) + (1/9)</gadget>
<output>11/18 = around 0.611111</output>
<gadget id="calculator">(11/60) / (11/18)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 3</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(9/10) * 1_000</gadget>
<output>900</output>
<result>C</result>
|
C
| 900 |
A person travels equal distances with speeds of 3km/hr, 6km/hr, 9km/hr. and takes a total time of 11minutes. Find the total distance ?
|
{
"A": "1 km",
"B": "500 mts",
"C": "900 mts",
"D": "2 km",
"E": "250 mts"
}
|
multiply(multiply(divide(divide(11, const_60), add(add(divide(const_1, 3), divide(const_1, 6)), divide(const_1, 9))), const_3), const_1000)
|
divide(n3,const_60)|divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|add(#1,#2)|add(#4,#3)|divide(#0,#5)|multiply(#6,const_3)|multiply(#7,const_1000)|
|
"let the each distance be x km total distance = 3 x then total time , ( x / 3 ) + ( x / 6 ) + ( x / 9 ) = 11 / 60 x = 0.3 total distance = 3 * 0.3 = 0.9 km = 900 meters correct option is c"
|
physics
|
math_qa__Btv90ovJn9p3jeUm
|
Pipe A can fill a tank in 2 hours. Due to a leak at the bottom, it takes 4 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Select the correct option
A) 2 B) 5 C) 6 D) 4 E) 1
|
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<result>D</result>
|
D
| 4 |
Pipe A can fill a tank in 2 hours. Due to a leak at the bottom, it takes 4 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
|
{
"A": "2",
"B": "5",
"C": "6",
"D": "4",
"E": "1"
}
|
divide(multiply(4, 2), subtract(4, 2))
|
multiply(n0,n1)|subtract(n1,n0)|divide(#0,#1)|
|
"let the leak can empty the full tank in x hours 1 / 2 - 1 / x = 1 / 4 = > 1 / x = 1 / 2 - 1 / 4 = 1 / 4 = > x = 4 . answer : d"
|
physics
|
math_qa__Gefhqv2s4AafUn02
|
The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than A
Options
A) 11 B) 12 C) 13 D) 14 E) 15
|
<gadget id="calculator">15 * 1</gadget>
<output>15</output>
<result>E</result>
|
E
| 15 |
The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than A
|
{
"A": "11",
"B": "12",
"C": "13",
"D": "14",
"E": "15"
}
|
multiply(15, const_1)
|
multiply(n0,const_1)|
|
"explanation : given that a + b = 15 + b + c = > a ? c = 15 + b ? b = 15 = > c is younger than a by 15 years answer : option e"
|
general
|
math_qa__P8js1qT9N51nOhgv
|
306 ÷ ? × 15 + 270 = 405 Select: A) 24 B) 25 C) 34 D) 39 E) 43
|
<gadget id="calculator">405 - 270</gadget>
<output>135</output>
<gadget id="calculator">135 + 15</gadget>
<output>150</output>
<gadget id="calculator">150 * 2</gadget>
<output>300</output>
<gadget id="calculator">300 / 10</gadget>
<output>30</output>
<gadget id="calculator">30 / 10</gadget>
<output>3</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<gadget id="calculator">33 + 1</gadget>
<output>34</output>
<result>C</result>
|
C
| 34 |
306 ÷ ? × 15 + 270 = 405
|
{
"A": "24",
"B": "25",
"C": "34",
"D": "39",
"E": "43"
}
|
add(add(divide(multiply(add(subtract(405, 270), 15), const_2), const_10), divide(divide(multiply(add(subtract(405, 270), 15), const_2), const_10), const_10)), const_1)
|
subtract(n3,n2)|add(n1,#0)|multiply(#1,const_2)|divide(#2,const_10)|divide(#3,const_10)|add(#3,#4)|add(#5,const_1)
|
explanation : 306 ã · ? ã — 15 = 405 - 270 = 135 ( 306 ã — 15 ) / ? = 135 ? = ( 306 ã — 15 ) / 135 = 34 answer : option c
|
general
|
math_qa__5A0XNNEHtItrM17q
|
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions? Choose one
A) 10 sec B) 11 sec C) 77 sec D) 99 sec E) 67 sec
|
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">(5/18) * 20</gadget>
<output>50/9 = around 5.555556</output>
<gadget id="calculator">(50/9) * 50</gadget>
<output>2_500/9 = around 277.777778</output>
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
<gadget id="calculator">(5/18) * 100</gadget>
<output>250/9 = around 27.777778</output>
<gadget id="calculator">1 / (250/9)</gadget>
<output>9/250 = around 0.036</output>
<gadget id="calculator">(2_500/9) * (9/250)</gadget>
<output>10</output>
<result>A</result>
|
A
| 10 |
Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
|
{
"A": "10 sec",
"B": "11 sec",
"C": "77 sec",
"D": "99 sec",
"E": "67 sec"
}
|
multiply(multiply(multiply(const_0_2778, subtract(60, 40)), 50), inverse(multiply(const_0_2778, add(60, 40))))
|
add(n0,n1)|subtract(n0,n1)|multiply(#0,const_0_2778)|multiply(#1,const_0_2778)|inverse(#2)|multiply(n2,#3)|multiply(#4,#5)|
|
"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 50 d = 50 * 100 / 18 = 2500 / 9 rs = 60 + 40 = 100 * 5 / 18 t = 2500 / 9 * 18 / 500 = 10 sec answer : a"
|
physics
|
math_qa__egKeUWMhwyJD3ius
|
Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 540 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy) Answers:
A) 8 / 3 B) 3 / 8 C) 8 / 5 D) 12 / 5 E) 5 / 3
|
<gadget id="calculator">540 / 3</gadget>
<output>180</output>
<gadget id="calculator">300 / 4</gadget>
<output>75</output>
<gadget id="calculator">180 / 75</gadget>
<output>12/5 = around 2.4</output>
<result>D</result>
|
D
| 2.4 |
Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 540 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
|
{
"A": "8 / 3",
"B": "3 / 8",
"C": "8 / 5",
"D": "12 / 5",
"E": "5 / 3"
}
|
divide(divide(540, 3), divide(300, 4))
|
divide(n2,n0)|divide(n3,n1)|divide(#0,#1)|
|
"distance traveled by eddy = 540 km time taken by eddy = 3 hours average speed of eddy = 540 / 3 = 180 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 180 / 75 = 12 / 5 answer d"
|
physics
|
math_qa__D5Zqewn5exBTDb0a
|
In the first 10 overs of a cricket game, the run rate was only 3.4. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Pick:
A) 4.25 B) 5 C) 6.2 D) 7 E) 7.5
|
<gadget id="calculator">10 * 3.4</gadget>
<output>34</output>
<gadget id="calculator">282 - 34</gadget>
<output>248</output>
<gadget id="calculator">248 / 40</gadget>
<output>31/5 = around 6.2</output>
<result>C</result>
|
C
| 6.2 |
In the first 10 overs of a cricket game, the run rate was only 3.4. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
|
{
"A": "4.25",
"B": "5",
"C": "6.2",
"D": "7",
"E": "7.5"
}
|
divide(subtract(282, multiply(10, 3.4)), 40)
|
multiply(n0,n1)|subtract(n3,#0)|divide(#1,n2)|
|
"required run rate = 282 - ( 3.4 x 10 ) = 248 248 / 40 = 6.2 c )"
|
gain
|
math_qa__fWvQZGXryt6SShC7
|
A football team lost 5 yards and then gained 11. What is the team's progress? Choose one:
A) 2
B) 4
C) 5
D) 6
E) 8
|
<gadget id="calculator">11 - 5</gadget>
<output>6</output>
<result>D</result>
|
D
| 6 |
A football team lost 5 yards and then gained 11. What is the team's progress?
|
{
"A": "2",
"B": "4",
"C": "5",
"D": "6",
"E": "8"
}
|
subtract(11, 5)
|
subtract(n1,n0)|
|
"for lost , use negative . for gain , use positive . progress = - 5 + 11 = 6 yards d"
|
gain
|
math_qa__bsSePYb7Gw2PLHMj
|
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 120?
Choose the correct choice from the following answers
A) 60 B) 25 C) 50 D) 75 E) 100
|
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<result>A</result>
|
A
| 60 |
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 120?
|
{
"A": "60",
"B": "25",
"C": "50",
"D": "75",
"E": "100"
}
|
divide(120, const_2)
|
divide(n0,const_2)|
|
"surprisingly no one answered this easy one . property of a set of consecutive integerz . mean = median = ( first element + last element ) / 2 = ( second element + last but one element ) / 2 = ( third element + third last element ) / 2 etc . etc . so mean = median = 120 / 2 = 60 answer is a"
|
general
|
math_qa__85cFQ0AUwEH33xJB
|
A woman spends 15% of her income in house rent, 15% of the rest on his children’s education, 10% of the rest miscellaneous causes and 15% in medical expenses. If she now posses Rs. 5548 then her income is? Choose the correct choice from the following
A) 10058 B) 10068 C) 10078 D) 10088 E) 10038
|
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 - (3/20)</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">(17/20) * (17/20)</gadget>
<output>289/400 = around 0.7225</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(289/400) * (9/10)</gadget>
<output>2_601/4_000 = around 0.65025</output>
<gadget id="calculator">(2_601/4_000) * (17/20)</gadget>
<output>44_217/80_000 = around 0.552712</output>
<gadget id="calculator">5_548 / (44_217/80_000)</gadget>
<output>443_840_000/44_217 = around 10_037.768279</output>
<result>E</result>
|
E
| 10,038 |
A woman spends 15% of her income in house rent, 15% of the rest on his children’s education, 10% of the rest miscellaneous causes and 15% in medical expenses. If she now posses Rs. 5548 then her income is?
|
{
"A": "10058",
"B": "10068",
"C": "10078",
"D": "10088",
"E": "10038"
}
|
divide(5548, multiply(multiply(multiply(subtract(const_1, divide(15, const_100)), subtract(const_1, divide(15, const_100))), subtract(const_1, divide(10, const_100))), subtract(const_1, divide(15, const_100))))
|
divide(n0,const_100)|divide(n2,const_100)|subtract(const_1,#0)|subtract(const_1,#1)|multiply(#2,#2)|multiply(#4,#3)|multiply(#5,#2)|divide(n4,#6)
|
x * ( 85 / 100 ) * ( 85 / 100 ) * ( 90 / 100 ) * ( 85 / 100 ) = 5548 x * 0.85 * 0.85 * 0.9 * 0.85 = 5548 x = 5548 / 0.5527 x = 10038 answer : e
|
gain
|
math_qa__3xrtodiz66UuqNHV
|
A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ? Choices:
A) 12 B) 16 C) 18 D) 24 E) 26
|
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">48 / 3</gadget>
<output>16</output>
<result>B</result>
|
B
| 16 |
A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?
|
{
"A": "12",
"B": "16",
"C": "18",
"D": "24",
"E": "26"
}
|
divide(48, add(const_1, const_2))
|
add(const_1,const_2)|divide(n0,#0)|
|
"explanation : suppose the boy got x sums right and 2 x sums wrong . then , x + 2 x = 48 3 x = 48 x = 16 . answer : b"
|
general
|
math_qa__bnODnS6f4wjXYXsA
|
Reeya obtained 50, 60, 70, 80 and 80 out of 100 in different subjects, What will be the average
Choose the correct choice from the following answers
A) 70 B) 75 C) 80 D) 85 E) 68
|
<gadget id="calculator">50 + 60</gadget>
<output>110</output>
<gadget id="calculator">110 + 70</gadget>
<output>180</output>
<gadget id="calculator">180 + 80</gadget>
<output>260</output>
<gadget id="calculator">260 + 80</gadget>
<output>340</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">340 / 5</gadget>
<output>68</output>
<result>E</result>
|
E
| 68 |
Reeya obtained 50, 60, 70, 80 and 80 out of 100 in different subjects, What will be the average
|
{
"A": "70",
"B": "75",
"C": "80",
"D": "85",
"E": "68"
}
|
divide(add(add(add(add(50, 60), 70), 80), 80), add(const_4, const_1))
|
add(n0,n1)|add(const_1,const_4)|add(n2,#0)|add(n3,#2)|add(n4,#3)|divide(#4,#1)|
|
"explanation : ( 50 + 60 + 70 + 80 + 80 / 5 ) = 68 option e"
|
general
|
math_qa__11wukP3tL2vGfHC7
|
5 goats’s and 10 hens are brought for Rs.2500. If the average price of a hen be Rs.50. What is the average price of a goat. Pick: A) 425 B) 375 C) 350 D) 400 E) 500
|
<gadget id="calculator">10 * 50</gadget>
<output>500</output>
<gadget id="calculator">2_500 - 500</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 5</gadget>
<output>400</output>
<result>D</result>
|
D
| 400 |
5 goats’s and 10 hens are brought for Rs.2500. If the average price of a hen be Rs.50. What is the average price of a goat.
|
{
"A": "425",
"B": "375",
"C": "350",
"D": "400",
"E": "500"
}
|
divide(subtract(2500, multiply(10, 50)), 5)
|
multiply(n1,n3)|subtract(n2,#0)|divide(#1,n0)
|
explanation : average price of a hen = rs . 50 total price of 10 hens = 10 * 50 = rs . 500 but total price of 5 goats and 10 hens = rs . 2500 total price of 5 goats is = 2500 - 500 = 2000 average price of a goat = 2000 / 5 = rs . 400 answer : d
|
general
|
math_qa__1Xz4gR8eSWdanbVl
|
kareena, Saif, and a puppy start walking down a road.
They start at the same time, from the same point, in the same direction.
The saif walks at 5 miles/hour
kareena at 6 miles/hour.
The puppy runs from saif to kareena and back again with a constant speed of 10 miles/hour.
The puppy does not slow down on the turn.
How far does the puppy travel in 1 hour?
Pick.
A) 10 miles B) 14 miles C) 12 miles D) 20 miles E) 30 miles
|
<gadget id="calculator">10 * 1</gadget>
<output>10</output>
<result>A</result>
|
A
| 10 |
kareena, Saif, and a puppy start walking down a road.
They start at the same time, from the same point, in the same direction.
The saif walks at 5 miles/hour
kareena at 6 miles/hour.
The puppy runs from saif to kareena and back again with a constant speed of 10 miles/hour.
The puppy does not slow down on the turn.
How far does the puppy travel in 1 hour?
|
{
"A": "10 miles",
"B": "14 miles",
"C": "12 miles",
"D": "20 miles",
"E": "30 miles"
}
|
multiply(10, 1)
|
multiply(n2,n3)
|
a 10 miles speed us 10 miles / hour
|
physics
|
math_qa__W89vgRJ9rlZLLUgj
|
If m is a positive integer and m^2 is divisible by 39, then the largest positive integer that must divide m is? Choose one:
A) 3 B) 6 C) 8 D) 12 E) 13
|
<gadget id="calculator">39 / 3</gadget>
<output>13</output>
<gadget id="calculator">13 / 3</gadget>
<output>13/3 = around 4.333333</output>
<gadget id="calculator">3 * (13/3)</gadget>
<output>13</output>
<result>E</result>
|
E
| 13 |
If m is a positive integer and m^2 is divisible by 39, then the largest positive integer that must divide m is?
|
{
"A": "3",
"B": "6",
"C": "8",
"D": "12",
"E": "13"
}
|
multiply(const_3, divide(divide(39, const_3), const_3))
|
divide(n1,const_3)|divide(#0,const_3)|multiply(#1,const_3)|
|
"m ^ 2 is divisible by 48 so m ^ 2 must be multiple of 48 . if the value of m is multiples of 13 then it will satisfy the condition . if we if m is 12 or 24 or 36 then it ans is e but if m = 39 then answer should be 16 . is the question right ? or am i missing some thing ? e"
|
general
|
math_qa__WCnV821tBdfiWyoV
|
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ?
Choose the most appropriate option
A) 7.76 kms B) 8.76 kms C) 5.76 kms D) 3.76 kms E) 4.76 kms
|
<gadget id="calculator">6 + 1.2</gadget>
<output>7.2</output>
<gadget id="calculator">6 - 1.2</gadget>
<output>4.8</output>
<gadget id="calculator">7.2 * 4.8</gadget>
<output>34.56</output>
<gadget id="calculator">7.2 + 4.8</gadget>
<output>12</output>
<gadget id="calculator">34.56 / 12</gadget>
<output>2.88</output>
<gadget id="calculator">2.88 * 2</gadget>
<output>5.76</output>
<result>C</result>
|
C
| 5.76 |
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ?
|
{
"A": "7.76 kms",
"B": "8.76 kms",
"C": "5.76 kms",
"D": "3.76 kms",
"E": "4.76 kms"
}
|
multiply(divide(multiply(add(6, 1.2), subtract(6, 1.2)), add(add(6, 1.2), subtract(6, 1.2))), const_2)
|
add(n0,n1)|subtract(n0,n1)|add(#0,#1)|multiply(#0,#1)|divide(#3,#2)|multiply(#4,const_2)|
|
"explanation : speed in still water = 6 kmph stream speed = 1.2 kmph down stream = 7.2 kmph up stream = 4.8 kmph x / 7.2 + x / 4.8 = 1 x = 2.88 total distance = 2.88 x 2 = 5.76 kms answer : c"
|
physics
|
math_qa__SRVIEWIJxcrjYWbt
|
For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 315 what is the least possible value of k? Choices:
A) 5 B) 7 C) 9 D) 11 E) 13
|
<gadget id="calculator">315 / 3</gadget>
<output>105</output>
<gadget id="calculator">105 / 3</gadget>
<output>35</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">35 / 5</gadget>
<output>7</output>
<result>B</result>
|
B
| 7 |
For any integer k greater than 1, the symbol k* denotes the product of all integers between 1 and k, inclusive. If k* is a multiple of 315 what is the least possible value of k?
|
{
"A": "5",
"B": "7",
"C": "9",
"D": "11",
"E": "13"
}
|
divide(divide(divide(315, const_3), const_3), add(const_1, const_4))
|
add(const_1,const_4)|divide(n2,const_3)|divide(#1,const_3)|divide(#2,#0)
|
315 = 3 * 3 * 5 * 7 thus k must include numbers at least up to the number 7 . the answer is b .
|
general
|
math_qa__c9fejXNrRMfLtTAc
|
Find the value of a from (15)^2 x 8^3 ÷ 256 = a. Select.
A) 250 B) 420 C) 440 D) 650 E) 450
|
<gadget id="calculator">15 ** 2</gadget>
<output>225</output>
<gadget id="calculator">8 ** 3</gadget>
<output>512</output>
<gadget id="calculator">225 * 512</gadget>
<output>115_200</output>
<gadget id="calculator">115_200 / 256</gadget>
<output>450</output>
<result>E</result>
|
E
| 450 |
Find the value of a from (15)^2 x 8^3 ÷ 256 = a.
|
{
"A": "250",
"B": "420",
"C": "440",
"D": "650",
"E": "450"
}
|
divide(multiply(power(15, 2), power(8, 3)), 256)
|
power(n0,n1)|power(n2,n3)|multiply(#0,#1)|divide(#2,n4)
|
given exp . = ( 15 ) ^ 2 x 8 ^ 3 ã · 256 = a = 225 x 512 ã · 256 = 450 e
|
general
|
math_qa__RH4TFnmT0W91Wpoe
|
The sum of two prime numbers is 85. What is the product of these two prime
numbers?
Choose the correct answer:
A) 85 B) 91 C) 115 D) 133 E) 166
|
<gadget id="calculator">85 - 2</gadget>
<output>83</output>
<gadget id="calculator">83 * 2</gadget>
<output>166</output>
<result>E</result>
|
E
| 166 |
The sum of two prime numbers is 85. What is the product of these two prime
numbers?
|
{
"A": "85",
"B": "91",
"C": "115",
"D": "133",
"E": "166"
}
|
multiply(subtract(85, const_2), const_2)
|
subtract(n0,const_2)|multiply(#0,const_2)
|
since there is only one even prime number ( 2 ) , and the sum of two odd numbers is even , the product of these two numbers must be even . correct answer e
|
general
|
math_qa__RKmRylGWliIaf8zu
|
A and B can do a work in 15days, B and C in 30days, C and A in 45days. If A,B and C work together , they will complete the work in? Choose one:
A) 10 days B) 16 days C) 20 days D) 25 days E) 22 days
|
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/15) + (1/30)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(1/10) + (1/45)</gadget>
<output>11/90 = around 0.122222</output>
<gadget id="calculator">(11/90) / 2</gadget>
<output>11/180 = around 0.061111</output>
<gadget id="calculator">1 / (11/180)</gadget>
<output>180/11 = around 16.363636</output>
<result>B</result>
|
B
| 16 |
A and B can do a work in 15days, B and C in 30days, C and A in 45days. If A,B and C work together , they will complete the work in?
|
{
"A": "10 days",
"B": "16 days",
"C": "20 days",
"D": "25 days",
"E": "22 days"
}
|
divide(const_1, divide(add(add(inverse(15), inverse(30)), inverse(45)), const_2))
|
inverse(n0)|inverse(n1)|inverse(n2)|add(#0,#1)|add(#3,#2)|divide(#4,const_2)|divide(const_1,#5)|
|
"a + b 1 day work = 1 / 15 b + c 1 day work = 1 / 30 c + a 1 day work = 1 / 45 adding we get 2 ( a + b + c ) = 1 / 15 + 1 / 30 + 1 / 45 = 11 / 90 a + b + c 1 day work = 11 / 180 a , b , c can finish the work in 180 / 11 days = 16 days approximately answer is b"
|
physics
|
math_qa__Wqk4BPbELpesIWgR
|
6!/(6-3)!=? Pick:
A) 120 B) 346 C) 356 D) 366 E) 396
|
<gadget id="calculator">factorial(6)</gadget>
<output>720</output>
<gadget id="calculator">6 - 3</gadget>
<output>3</output>
<gadget id="calculator">factorial(3)</gadget>
<output>6</output>
<gadget id="calculator">720 / 6</gadget>
<output>120</output>
<result>A</result>
|
A
| 120 |
6!/(6-3)!=?
|
{
"A": "120",
"B": "346",
"C": "356",
"D": "366",
"E": "396"
}
|
divide(factorial(6), factorial(subtract(6, 3)))
|
factorial(n0)|subtract(n0,n2)|factorial(#1)|divide(#0,#2)|
|
6 ! / 6 - 3 ) ! = 6 ! / 3 ! = 6 * 5 * 4 = 120 . hence , the correct answer is a .
|
general
|
math_qa__i6k5rWHvnvHBGT35
|
x is a positive integer less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there? Choose the most appropriate option
A) 21
B) 22
C) 23
D) 24
E) 25
|
<gadget id="calculator">7 % 500</gadget>
<output>7</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">3 % 500</gadget>
<output>3</output>
<gadget id="calculator">21 + 3</gadget>
<output>24</output>
<gadget id="calculator">1 % 500</gadget>
<output>1</output>
<gadget id="calculator">24 - 1</gadget>
<output>23</output>
<result>D</result>
|
D
| 24 |
x is a positive integer less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
|
{
"A": "21",
"B": "22",
"C": "23",
"D": "24",
"E": "25"
}
|
subtract(add(multiply(reminder(7, 500), 3), reminder(3, 500)), reminder(1, 500))
|
reminder(n1,n0)|reminder(n3,n0)|reminder(n2,n0)|multiply(n3,#0)|add(#3,#1)|subtract(#4,#2)|
|
"when x divided by 7 and leave reminder 1 . x could be 1 , 8,15 , . . . . when divided by 3 and leave reminder 2 - x could be 2 , 5,8 , . . . . so x must be of the form 21 m + 8 where m = 0 , 1,2 , . . . . . first no will be 8 and last no will be 491 . so total no . less than 500 will be 24 . answer : d"
|
general
|
math_qa__9SjX9P1Z1kTCODfM
|
The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is: Choose the correct choice from the following answers: A) 239 B) 277 C) 205 D) 88 E) 232
|
<gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 170</gadget>
<output>205</output>
<result>C</result>
|
C
| 205 |
The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
|
{
"A": "239",
"B": "277",
"C": "205",
"D": "88",
"E": "232"
}
|
subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 170)
|
speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)|
|
"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 170 + x ) / 30 = 25 / 2 = = > 2 ( 170 + x ) = 750 = = > x = 205 m . answer : c"
|
physics
|
math_qa__FfAPZ9mSf9D1AKYK
|
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 125 resolutions?
Choose the correct choice from the following answers
A) 794 m B) 704 m C) 454 m D) 186 m E) 176 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 * 125</gadget>
<output>17_600</output>
<gadget id="calculator">17_600 / 100</gadget>
<output>176</output>
<result>E</result>
|
E
| 176 |
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 125 resolutions?
|
{
"A": "794 m",
"B": "704 m",
"C": "454 m",
"D": "186 m",
"E": "176 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), 125), 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 125 resolutions . = 125 * 2 * 22 / 7 * 22.4 = 17600 cm = 176 m answer : e"
|
physics
|
math_qa__kFAnp63N7gAL7dgf
|
If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 160 pounds. What is Leo's current weight?
Choices:
A) 80
B) 86
C) 92
D) 98
E) 104
|
<gadget id="calculator">100 + 50</gadget>
<output>150</output>
<gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">160 * (3/2)</gadget>
<output>240</output>
<gadget id="calculator">240 - 10</gadget>
<output>230</output>
<gadget id="calculator">(3/2) + 1</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">230 / (5/2)</gadget>
<output>92</output>
<result>C</result>
|
C
| 92 |
If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 160 pounds. What is Leo's current weight?
|
{
"A": "80",
"B": "86",
"C": "92",
"D": "98",
"E": "104"
}
|
divide(subtract(multiply(160, divide(add(const_100, 50), const_100)), 10), add(divide(add(const_100, 50), const_100), const_1))
|
add(n1,const_100)|divide(#0,const_100)|add(#1,const_1)|multiply(n2,#1)|subtract(#3,n0)|divide(#4,#2)|
|
"l + k = 160 and so k = 160 - l l + 10 = 1.5 k = 1.5 ( 160 - l ) 2.5 l = 230 l = 92 the answer is c ."
|
gain
|
math_qa__7l8HyF5VFaHeAtMH
|
If 40% of a certain number is 160, then what is 60% of that number? Choose the most appropriate option:
A) 270
B) 380
C) 260
D) 360
E) 240
|
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">160 / (2/5)</gadget>
<output>400</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">400 * (3/5)</gadget>
<output>240</output>
<result>E</result>
|
E
| 240 |
If 40% of a certain number is 160, then what is 60% of that number?
|
{
"A": "270",
"B": "380",
"C": "260",
"D": "360",
"E": "240"
}
|
multiply(divide(160, divide(40, const_100)), divide(60, const_100))
|
divide(n0,const_100)|divide(n2,const_100)|divide(n1,#0)|multiply(#2,#1)|
|
"explanation : 40 % = 40 * 4 = 160 60 % = 60 * 4 = 240 answer : option e"
|
gain
|
math_qa__Z0HWl3hfPEsmcCXX
|
If 22 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip? Choose one
A) 95
B) 90
C) 88
D) 80
E) 75
|
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">22 / (1/4)</gadget>
<output>88</output>
<result>C</result>
|
C
| 88 |
If 22 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
|
{
"A": "95",
"B": "90",
"C": "88",
"D": "80",
"E": "75"
}
|
divide(22, divide(subtract(100, 75), 100))
|
subtract(n1,n2)|divide(#0,n1)|divide(n0,#1)|
|
"let x be the number of students in the school . 0.22 x students went to the trip and took more than 100 $ . they compose ( 100 - 75 ) = 25 % of all students who went to the trip . therefore the toal of 0.22 x / 0.25 = 0.88 x students went to the camping which is 88 % . the answer is c"
|
general
|
math_qa__2yxM3peBkRDGLBIh
|
If a:b:c = 3:4:7, then the ratio (a+b+c):c is equal to
Choose the correct choice from the following answers:
A) 2 : 1 B) 14 : 3 C) 7 : 2 D) 1 : 2 E) none
|
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 + 7</gadget>
<output>14</output>
<gadget id="calculator">14 / 7</gadget>
<output>2</output>
<result>A</result>
|
A
| 2 |
If a:b:c = 3:4:7, then the ratio (a+b+c):c is equal to
|
{
"A": "2 : 1",
"B": "14 : 3",
"C": "7 : 2",
"D": "1 : 2",
"E": "none"
}
|
divide(add(add(3, 4), 7), 7)
|
add(n0,n1)|add(n2,#0)|divide(#1,n2)
|
solution : ( a + b + c ) = 3 + 4 + 7 = 14 and c = 7 then , ( a + b + c ) : c = 2 : 1 . answer : option a
|
general
|
math_qa__5bhwQp1Un7MFTHs1
|
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.05. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fifth day it is overdue? Choose the correct choice from the following:
A) $ 0.60 B) $ 0.70 C) $ 0.80 D) $ 0.90 E) $ 1.00
|
<gadget id="calculator">0.05 * 2</gadget>
<output>0.1</output>
<gadget id="calculator">0.1 * 2</gadget>
<output>0.2</output>
<gadget id="calculator">0.2 * 2</gadget>
<output>0.4</output>
<gadget id="calculator">0.4 + 0.3</gadget>
<output>0.7</output>
<result>B</result>
|
B
| 0.7 |
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.05. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fifth day it is overdue?
|
{
"A": "$ 0.60",
"B": "$ 0.70",
"C": "$ 0.80",
"D": "$ 0.90",
"E": "$ 1.00"
}
|
add(multiply(multiply(multiply(0.05, const_2), const_2), const_2), 0.3)
|
multiply(n0,const_2)|multiply(#0,const_2)|multiply(#1,const_2)|add(n1,#2)
|
1 st day fine - 0.05 2 nd day fine - 0.05 * 2 = 0.1 ( as doubling gives lower value ) 3 rd day fine - 0.1 * 2 = 0.2 ( as doubling gives lower value ) 4 th day fine - 0.2 * 2 = 0.4 ( as doubling gives lower value we add 0.3 this time ) 5 th day fine - 0.4 + 0.3 = 0.7 ( as doubling gives higher value we add 0.3 this time ) answer : b .
|
general
|
math_qa__4sDC2AB4oxfdZYIW
|
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $230, what were her original savings? Pick one.
A) $ 900 B) $ 800 C) $ 1000 D) $ 920 E) $ 1500
|
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">230 / (1/4)</gadget>
<output>920</output>
<result>D</result>
|
D
| 920 |
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $230, what were her original savings?
|
{
"A": "$ 900",
"B": "$ 800",
"C": "$ 1000",
"D": "$ 920",
"E": "$ 1500"
}
|
divide(230, subtract(const_1, divide(3, 4)))
|
divide(n0,n1)|subtract(const_1,#0)|divide(n2,#1)|
|
"if linda spent 3 / 4 of her savings on furnitute , the rest 4 / 4 - 3 / 4 = 1 / 4 on a tv but the tv cost her $ 230 . so 1 / 4 of her savings is $ 230 . so her original savings are 4 times $ 230 = $ 920 correct answer d"
|
general
|
math_qa__wqMMdYjZJhq6pET2
|
45 x ? = 10% of 900
Pick one:
A) 2 B) 4 C) 5 D) 500 E) none
|
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 900</gadget>
<output>90</output>
<gadget id="calculator">90 / 45</gadget>
<output>2</output>
<result>A</result>
|
A
| 2 |
45 x ? = 10% of 900
|
{
"A": "2",
"B": "4",
"C": "5",
"D": "500",
"E": "none"
}
|
divide(multiply(divide(10, const_100), 900), 45)
|
divide(n1,const_100)|multiply(n2,#0)|divide(#1,n0)
|
answer let 45 x a = ( 10 x 900 ) / 100 ∴ a = ( 10 x 9 ) / 45 = 2 correct option : a
|
general
|
math_qa__VrqfKFPsgOlY0tdv
|
A circle graph shows how the budget of a certain company was spent: 20 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries? Choose the correct choice from the following options
A) 90 ° B) 135 ° C) 216 ° D) 240 ° E) 270 °
|
<gadget id="calculator">20 + 9</gadget>
<output>29</output>
<gadget id="calculator">29 + 5</gadget>
<output>34</output>
<gadget id="calculator">34 + 4</gadget>
<output>38</output>
<gadget id="calculator">38 + 2</gadget>
<output>40</output>
<gadget id="calculator">40 * 360</gadget>
<output>14_400</output>
<gadget id="calculator">14_400 / 100</gadget>
<output>144</output>
<gadget id="calculator">360 - 144</gadget>
<output>216</output>
<result>C</result>
|
C
| 216 |
A circle graph shows how the budget of a certain company was spent: 20 percent for transportation, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for salaries. If the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent salaries?
|
{
"A": "90 °",
"B": "135 °",
"C": "216 °",
"D": "240 °",
"E": "270 °"
}
|
subtract(const_360, divide(multiply(add(add(add(add(20, 9), 5), 4), 2), const_360), const_100))
|
add(n0,n1)|add(n2,#0)|add(n3,#1)|add(n4,#2)|multiply(#3,const_360)|divide(#4,const_100)|subtract(const_360,#5)
|
the percent of the budget for salaries is 100 - ( 20 + 9 + 5 + 4 + 2 ) = 60 % 100 % of the circle is 360 degrees . then ( 60 % / 100 % ) * 360 = 216 degrees the answer is c .
|
geometry
|
math_qa__NBYPDPMTDVxvDctB
|
Sales price is $44, gross profit is 120% of cost, what is the value of gross profit?
Answers:
A) 24 B) 33 C) 39 D) 40 E) 42
|
<gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">1 + (6/5)</gadget>
<output>11/5 = around 2.2</output>
<gadget id="calculator">44 / (11/5)</gadget>
<output>20</output>
<gadget id="calculator">44 - 20</gadget>
<output>24</output>
<result>A</result>
|
A
| 24 |
Sales price is $44, gross profit is 120% of cost, what is the value of gross profit?
|
{
"A": "24",
"B": "33",
"C": "39",
"D": "40",
"E": "42"
}
|
subtract(44, divide(44, add(const_1, divide(120, const_100))))
|
divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)|subtract(n0,#2)
|
cost + profit = sales cost + ( 120 / 100 ) cost = 44 cost = 20 profit = 44 - 20 = 24 answer ( a )
|
gain
|
math_qa__9BIhqrRmxyQo3LyY
|
A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of the road is : Choose the correct choice from the following options:
A) 4 metres
B) 5 metres
C) 7 metres
D) 6 metres
E) 8 metres
|
<gadget id="calculator">88 / 4</gadget>
<output>22</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">11 - 4</gadget>
<output>7</output>
<result>C</result>
|
C
| 7 |
A circular road runs around a circular garden. If the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one-third of the outer circle, then the width of the road is :
|
{
"A": "4 metres",
"B": "5 metres",
"C": "7 metres",
"D": "6 metres",
"E": "8 metres"
}
|
subtract(divide(divide(88, const_4), const_2), const_4)
|
divide(n0,const_4)|divide(#0,const_2)|subtract(#1,const_4)
|
let radius of inner circle = r 1 radius of outer circle = r 2 also r 1 = 1 / 3 * r 2 3 * r 1 = r 2 circumference of inner circle = 2 * pi * r 1 circumference of outer circle = 2 * pi * r 2 = 6 * pi * r 1 ( since r 2 = 3 * r 1 ) 2 * pi * r 1 + 6 * pi * r 1 = 88 ( as per question ) r 1 = 3.5 m r 2 = 3 * 3.5 = 10.5 m width of road = 10.5 - 3.5 = 7 m ans . answer : c
|
general
|
math_qa__vewKjuVNwXDJ8JoM
|
in a multiple choice test comprising 5 questions , each with 4 choices , what is the probability of a student getting 3 or more questions correct ? each question has only one correct answer and the student is equally likely to choose any of the 4 choices . Choose the correct choice from the following answers: A) 24 / 256 B) 53 / 512 C) 105 / 512 D) 459 / 512 E) 47 / 256
|
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">9 * 10</gadget>
<output>90</output>
<gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">90 + 15</gadget>
<output>105</output>
<gadget id="calculator">105 + 1</gadget>
<output>106</output>
<gadget id="calculator">2 ** 10</gadget>
<output>1_024</output>
<gadget id="calculator">106 / 1_024</gadget>
<output>53/512 = around 0.103516</output>
<result>B</result>
|
B
| 0.103516 |
in a multiple choice test comprising 5 questions , each with 4 choices , what is the probability of a student getting 3 or more questions correct ? each question has only one correct answer and the student is equally likely to choose any of the 4 choices .
|
{
"A": "24 / 256",
"B": "53 / 512",
"C": "105 / 512",
"D": "459 / 512",
"E": "47 / 256"
}
|
divide(add(add(multiply(add(5, 4), const_10), multiply(3, 5)), const_1), power(const_2, const_10))
|
add(n0,n1)|multiply(n0,n2)|power(const_2,const_10)|multiply(#0,const_10)|add(#3,#1)|add(#4,const_1)|divide(#5,#2)
|
probability for choosing correct answer is 1 / 4 and incorrect answer is 3 / 4 for 3 correct answers , c ( 5,3 ) * ( 1 / 4 ) ^ 3 * ( 3 / 4 ) ^ 2 = 90 / ( 4 ^ 5 ) for 4 correct answers , c ( 5,4 ) * ( 1 / 4 ) ^ 4 * ( 3 / 4 ) ^ 1 = 15 / ( 4 ^ 5 ) for 5 correct answers , c ( 5,5 ) * ( 1 / 4 ) ^ 5 * ( 3 / 4 ) ^ 0 = 1 / ( 4 ^ 5 ) so total probability = 106 / 1024 = 53 / 512 ans b
|
general
|
math_qa__AHkWUec5EOjAH1OW
|
P and Q together can do a work in 6 days. If P alone can do it in 15 days. In how many days can Q alone do it? Choose the correct choice from the following answers.
A) 5 B) 4 C) 10 D) 11 E) 12
|
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/6) - (1/15)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 100</gadget>
<output>10</output>
<result>C</result>
|
C
| 10 |
P and Q together can do a work in 6 days. If P alone can do it in 15 days. In how many days can Q alone do it?
|
{
"A": "5",
"B": "4",
"C": "10",
"D": "11",
"E": "12"
}
|
multiply(subtract(inverse(6), inverse(15)), const_100)
|
inverse(n0)|inverse(n1)|subtract(#0,#1)|multiply(#2,const_100)
|
1 / 6 - 1 / 15 = = > 1 / 10 = = > 10 answer c
|
physics
|
math_qa__NGGQJX8i9bvlLsXl
|
In a certain animal shelter, the ratio of the number of catsto the number of dogs is 15 to 7. If 12 additional dogs were to be taken in by the shelter, the ratio of the number of cats to the number of dogs would be 15 to 11. How many cats are in the shelter? Choose the correct choice from the following answers: A) 15 B) 45 C) 30 D) 45 E) 60
|
<gadget id="calculator">11 - 7</gadget>
<output>4</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">15 * 3</gadget>
<output>45</output>
<result>B</result>
|
B
| 45 |
In a certain animal shelter, the ratio of the number of catsto the number of dogs is 15 to 7. If 12 additional dogs were to be taken in by the shelter, the ratio of the number of cats to the number of dogs would be 15 to 11. How many cats are in the shelter?
|
{
"A": "15",
"B": "45",
"C": "30",
"D": "45",
"E": "60"
}
|
multiply(15, divide(12, subtract(11, 7)))
|
subtract(n4,n1)|divide(n2,#0)|multiply(n0,#1)
|
this ratio question can be solved in a couple of different ways . here ' s an algebraic approach . . . we ' re told that the ratio of the number of cats to the number of dogs is 15 : 7 . we ' re then told that 12 more dogs are added to this group and the ratio becomes 15 : 11 . we ' re asked for the number of cats . algebraically , since the number of cats is a multiple of 15 and the number of dogs is a multiple of 7 , we can write this initial relationship as . . . 15 x / 7 x when we add the 12 cats and factor in the ' ending ratio ' , we have an equation . . . . 15 x / ( 7 x + 12 ) = 15 / 11 here we have 1 variable and 1 equation , so we can solve for x . . . . ( 15 x ) ( 11 ) = ( 7 x + 12 ) ( 15 ) ( x ) ( 11 ) = ( 7 x + 12 ) ( 1 ) 11 x = 7 x + 12 4 x = 12 x = 3 with this x , we can figure out the initial number of dogs and cats . . . initial dogs = 15 x = 15 ( 3 ) = 45 final answer : b
|
other
|
math_qa__w5IxWyeTDIYJOmG9
|
The ratio between the sale price and the cost price of an article is 9:5. What is the ratio between the profit and the cost price of that article?
Choices:
A) 23 B) 1 : 2 C) 4 : 5 D) 3 : 5 E) 25
|
<gadget id="calculator">9 - 5</gadget>
<output>4</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<result>C</result>
|
C
| 0.8 |
The ratio between the sale price and the cost price of an article is 9:5. What is the ratio between the profit and the cost price of that article?
|
{
"A": "23",
"B": "1 : 2",
"C": "4 : 5",
"D": "3 : 5",
"E": "25"
}
|
divide(subtract(9, 5), 5)
|
subtract(n0,n1)|divide(#0,n1)|
|
"c . p . = rs . 5 x and s . p . = rs . 9 x . then , gain = rs . 4 x required ratio = 4 x : 5 x = 4 : 5 c"
|
other
|
math_qa__KdYxIcXKZjCLAhUZ
|
8 is 6% of a, and 6 is 8% of b. c equals b/a. What is the value of c? Select
A) 3 / 8 B) 8 / 15 C) 9 / 16 D) 12 / 25 E) 16 / 27
|
<gadget id="calculator">6 / 8</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 100</gadget>
<output>75</output>
<gadget id="calculator">8 / 6</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">(4/3) * 100</gadget>
<output>400/3 = around 133.333333</output>
<gadget id="calculator">75 / (400/3)</gadget>
<output>9/16 = around 0.5625</output>
<result>C</result>
|
C
| 0.5625 |
8 is 6% of a, and 6 is 8% of b. c equals b/a. What is the value of c?
|
{
"A": "3 / 8",
"B": "8 / 15",
"C": "9 / 16",
"D": "12 / 25",
"E": "16 / 27"
}
|
divide(multiply(divide(6, 8), const_100), multiply(divide(8, 6), const_100))
|
divide(n1,n0)|divide(n0,n1)|multiply(#0,const_100)|multiply(#1,const_100)|divide(#2,#3)|
|
"6 a / 100 = 8 a = 400 / 3 8 b / 100 = 6 b = 75 c = b / a = 75 * 3 / 400 = 9 / 16 the answer is c ."
|
general
|
math_qa__d4QKSY8Z1YiO0gvJ
|
Of the 65 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? Choose the correct choice from the following answers:
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">65 - 55</gadget>
<output>10</output>
<result>A</result>
|
A
| 10 |
Of the 65 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(65, 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 ) = 65 - 50 - ( 40 - 35 ) = 65 - 55 = 10 answer a
|
other
|
math_qa__bIR08eXeq1X96bUk
|
Exactly 3/8 of the people in the room are under the age of 21, and exactly 5/12 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21? Choices
A) 21 B) 36 C) 39 D) 60 E) 65
|
<gadget id="calculator">8 * 12</gadget>
<output>96</output>
<gadget id="calculator">96 * 3</gadget>
<output>288</output>
<gadget id="calculator">288 / 8</gadget>
<output>36</output>
<result>B</result>
|
B
| 36 |
Exactly 3/8 of the people in the room are under the age of 21, and exactly 5/12 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
|
{
"A": "21",
"B": "36",
"C": "39",
"D": "60",
"E": "65"
}
|
divide(multiply(multiply(8, 12), 3), 8)
|
multiply(n1,n4)|multiply(n0,#0)|divide(#1,n1)|
|
"the total number of the people in the room must be a multiple of both 8 and 12 ( in order 3 / 7 and 5 / 13 of the number to be an integer ) , thus the total number of the people must be a multiple of lcm of 8 and 12 , which is 96 . since , the total number of the people in the room is greater than 50 and less than 100 , then there are 96 people in the room . therefore there are 3 / 8 * 96 = 36 people in the room under the age of 21 . answer : b ."
|
general
|
math_qa__ked78t1HTlhMMc4h
|
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 10, and the difference between the total number of strawberries and the total number of blueberries would increase by 50. Each blue box contains how many blueberries? Choose one:
A) 10
B) 15
C) 20
D) 25
E) 30
|
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<result>C</result>
|
C
| 20 |
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 10, and the difference between the total number of strawberries and the total number of blueberries would increase by 50. Each blue box contains how many blueberries?
|
{
"A": "10",
"B": "15",
"C": "20",
"D": "25",
"E": "30"
}
|
divide(subtract(50, 10), const_2)
|
subtract(n1,n0)|divide(#0,const_2)|
|
"let x be the number of blueberries in each blue box . then there are x + 10 strawberries in each red box . x + ( x + 10 ) = 50 x = 20 the answer is c ."
|
general
|
math_qa__H9VXnaHZ5lkrsSDC
|
If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is? Choose the correct choice from the following answers
A) – 3
B) 9 / 2
C) 1
D) 2
E) 3
|
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<result>B</result>
|
B
| 4.5 |
If x/y = 3 and (2a - x)/(3b - y) = 3, then the value of a/b is?
|
{
"A": "– 3",
"B": "9 / 2",
"C": "1",
"D": "2",
"E": "3"
}
|
divide(multiply(const_3, const_3), 2)
|
multiply(const_3,const_3)|divide(#0,n1)
|
x = 3 y 2 a - 3 y = 3 ( 3 b - y ) 2 a - 3 y = 9 b - 3 y 2 a = 9 b a / b = 9 / 2 answer : b
|
general
|
math_qa__S87MBMdUI8zt7RZe
|
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Options:
A) rs . 1200
B) rs . 890
C) rs . 600
D) rs . 1190
E) rs . 450
|
<gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 * 1_400</gadget>
<output>119_000</output>
<gadget id="calculator">119_000 / 100</gadget>
<output>1_190</output>
<result>D</result>
|
D
| 1,190 |
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
|
{
"A": "rs . 1200",
"B": "rs . 890",
"C": "rs . 600",
"D": "rs . 1190",
"E": "rs . 450"
}
|
divide(multiply(subtract(const_100, 15), 1400), const_100)
|
subtract(const_100,n1)|multiply(n0,#0)|divide(#1,const_100)|
|
"explanation : s . p . = 85 % of rs . 1400 = rs . ( 85 / 100 * 1400 ) = rs . 1190 answer : d"
|
gain
|
math_qa__Had0c2bv8TWFfJnL
|
A and B can finish a work in 12 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
Choose the correct choice from the following answers
A) 76 days
B) 48 days
C) 98 days
D) 31 days
E) 24 days
|
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">(1/12) - (1/24)</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">1 / (1/24)</gadget>
<output>24</output>
<result>E</result>
|
E
| 24 |
A and B can finish a work in 12 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
|
{
"A": "76 days",
"B": "48 days",
"C": "98 days",
"D": "31 days",
"E": "24 days"
}
|
inverse(subtract(inverse(12), inverse(24)))
|
inverse(n0)|inverse(n1)|subtract(#0,#1)|inverse(#2)|
|
"b = 1 / 12 – 1 / 24 = 1 / 24 = > 24 days answer : e"
|
physics
|
math_qa__gMsqDHfdsaTZmWKc
|
If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Choose the correct option.
A) 3072 B) 512 C) 768 D) 1024 E) 1536
|
<gadget id="calculator">0.3 * 2</gadget>
<output>0.6</output>
<gadget id="calculator">0.6 * 2</gadget>
<output>1.2</output>
<gadget id="calculator">1.2 * 2</gadget>
<output>2.4</output>
<gadget id="calculator">2.4 * 2</gadget>
<output>4.8</output>
<gadget id="calculator">4.8 * 2</gadget>
<output>9.6</output>
<gadget id="calculator">9.6 * 2</gadget>
<output>19.2</output>
<gadget id="calculator">19.2 * 2</gadget>
<output>38.4</output>
<gadget id="calculator">38.4 * 2</gadget>
<output>76.8</output>
<gadget id="calculator">76.8 * 2</gadget>
<output>153.6</output>
<gadget id="calculator">153.6 * 2</gadget>
<output>307.2</output>
<gadget id="calculator">307.2 + 0.3</gadget>
<output>307.5</output>
<gadget id="calculator">307.5 * 10</gadget>
<output>3_075</output>
<result>A</result>
|
A
| 3,072 |
If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
|
{
"A": "3072",
"B": "512",
"C": "768",
"D": "1024",
"E": "1536"
}
|
multiply(add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(0.3, const_2), const_2), const_2), const_2), const_2), const_2), const_2), const_2), const_2), const_2), 0.3), const_10)
|
multiply(n0,const_2)|multiply(#0,const_2)|multiply(#1,const_2)|multiply(#2,const_2)|multiply(#3,const_2)|multiply(#4,const_2)|multiply(#5,const_2)|multiply(#6,const_2)|multiply(#7,const_2)|multiply(#8,const_2)|add(n0,#9)|multiply(#10,const_10)|
|
"0.3 * 2 ^ 10 = 0.3 * 1024 = 307.2 the answer is a ."
|
general
|
math_qa__ODsg7EBGu7PHySld
|
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?
Pick one:
A) 277 m
B) 704 m
C) 352 m
D) 288 m
E) 378 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 * 250</gadget>
<output>35_200</output>
<gadget id="calculator">35_200 / 100</gadget>
<output>352</output>
<result>C</result>
|
C
| 352 |
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 250 resolutions?
|
{
"A": "277 m",
"B": "704 m",
"C": "352 m",
"D": "288 m",
"E": "378 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), 250), 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 250 resolutions . = 250 * 2 * 22 / 7 * 22.4 = 35200 cm = 352 m answer : c"
|
physics
|
math_qa__GQG2g42quQ8mVUCy
|
If grapes are 93% water and raisins are 16% water, then how many kilograms did a quantity of raisins, which currently weighs 8 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
Choose the correct choice:
A) 92
B) 96
C) 100
D) 104
E) 108
|
<gadget id="calculator">100 - 16</gadget>
<output>84</output>
<gadget id="calculator">84 / 100</gadget>
<output>21/25 = around 0.84</output>
<gadget id="calculator">(21/25) * 8</gadget>
<output>168/25 = around 6.72</output>
<gadget id="calculator">100 - 93</gadget>
<output>7</output>
<gadget id="calculator">7 / 100</gadget>
<output>7/100 = around 0.07</output>
<gadget id="calculator">(168/25) / (7/100)</gadget>
<output>96</output>
<result>B</result>
|
B
| 96 |
If grapes are 93% water and raisins are 16% water, then how many kilograms did a quantity of raisins, which currently weighs 8 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
|
{
"A": "92",
"B": "96",
"C": "100",
"D": "104",
"E": "108"
}
|
divide(multiply(divide(subtract(const_100, 16), const_100), 8), divide(subtract(const_100, 93), const_100))
|
subtract(const_100,n1)|subtract(const_100,n0)|divide(#0,const_100)|divide(#1,const_100)|multiply(n2,#2)|divide(#4,#3)
|
let x be the original weight . the weight of the grape pulp was 0.07 x . since the grape pulp is 84 % of the raisins , 0.07 x = 0.84 ( 8 ) . then x = 12 * 8 = 96 kg . the answer is b .
|
general
|
math_qa__PNEaxAny0AhPguUJ
|
Find the slope of the line perpendicular to the line y = x - 7 Choose the correct choice from the following options: A) 1 B) 2 C) - 1 D) 4 E) 5
|
<gadget id="calculator">-1</gadget>
<output>-1</output>
<result>C</result>
|
C
| -1 |
Find the slope of the line perpendicular to the line y = x - 7
|
{
"A": "1",
"B": "2",
"C": "- 1",
"D": "4",
"E": "5"
}
|
negate(const_1)
|
negate(const_1)
|
two lines are perpendicular if the product of their slopes is equal to - 1 . the slope of the given line is equal to 1 . if m is the slope of the line perpendicular to the given line , then m × 1 = - 1 solve for m m = - 1 correct answer c ) - 1
|
general
|
math_qa__atwnKhjunXmCpyvm
|
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 370 m long platform? Choose one.
A) 19
B) 27
C) 29
D) 47
E) 49
|
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 36</gadget>
<output>10</output>
<gadget id="calculator">10 * 12</gadget>
<output>120</output>
<gadget id="calculator">370 + 120</gadget>
<output>490</output>
<gadget id="calculator">490 / 10</gadget>
<output>49</output>
<result>E</result>
|
E
| 49 |
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 370 m long platform?
|
{
"A": "19",
"B": "27",
"C": "29",
"D": "47",
"E": "49"
}
|
divide(add(370, multiply(multiply(const_0_2778, 36), 12)), multiply(const_0_2778, 36))
|
multiply(n0,const_0_2778)|multiply(n1,#0)|add(n2,#1)|divide(#2,#0)
|
let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 370 ) / 36 * 5 / 18 = 49 min . answer : e
|
physics
|
math_qa__BtBD8E6CoehDdc1k
|
A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long? Options
A) 4
B) 3
C) 5
D) 7
E) 9
|
<gadget id="calculator">25 + 1</gadget>
<output>26</output>
<gadget id="calculator">26 * 60</gadget>
<output>1_560</output>
<gadget id="calculator">1_560 / 1_000</gadget>
<output>39/25 = around 1.56</output>
<gadget id="calculator">(39/25) + 2.5</gadget>
<output>4.06</output>
<result>A</result>
|
A
| 4 |
A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 2.5 km long?
|
{
"A": "4",
"B": "3",
"C": "5",
"D": "7",
"E": "9"
}
|
add(divide(multiply(add(25, const_1), 60), const_1000), 2.5)
|
add(n0,const_1)|multiply(n1,#0)|divide(#1,const_1000)|add(n4,#2)|
|
"d = 25 * 60 + 2500 = 4000 m t = 4000 / 60 * 18 / 5 = 240 sec = 4 mins answer : a"
|
physics
|
math_qa__4Q1IEnLeGXBo4lVH
|
The length of a rectangle is halved, while its breadth is tripled. What is the % change in area?
Pick
A) 30 % B) 40 % C) 50 % D) 60 % E) 65 %
|
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 * (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) - 1</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) / 1</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>C</result>
|
C
| 50 |
The length of a rectangle is halved, while its breadth is tripled. What is the % change in area?
|
{
"A": "30 %",
"B": "40 %",
"C": "50 %",
"D": "60 %",
"E": "65 %"
}
|
multiply(divide(subtract(multiply(const_3, divide(const_1, const_2)), const_1), const_1), const_100)
|
divide(const_1,const_2)|multiply(#0,const_3)|subtract(#1,const_1)|divide(#2,const_1)|multiply(#3,const_100)|
|
"let original length = x and original breadth = y . original area = xy . new length = x . 2 new breadth = 3 y . new area = x x 3 y = 3 xy . 2 2 increase % = 1 xy x 1 x 100 % = 50 % . 2 xy c"
|
geometry
|
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