subject
stringclasses 1
value | question
stringlengths 3
1.14k
| options
listlengths 5
5
| solution
stringlengths 18
3.7k
| answer
stringclasses 5
values |
|---|---|---|---|---|
mathematics
|
A horse and cow were sold for Rs.12000 each. The horse was sold at a loss of 20% and the cow at a gain of 20%. The entire transaction resulted in :
|
[
"No loss or gain",
"Loss of Rs.1000",
"Gain of Rs.1000",
"Gain of Rs.2000",
"None of these"
] |
Explanation:
In the special case of profit and loss percentages are equal and Selling price is same, then the transaction always results in Loss. This loss percentage is given by a simple formula −(x/10)2
So in this case, Profit% = Loss% = 20. So x = 20
Loss percentage = −(20/10)2=−4
Total S.P = Rs.24000
Cost price = 24000×100/96 = 25000
Loss = Rs.1000
Correct Option : B
The answer is: B
|
B
|
mathematics
|
An aeroplane covers a certain distance at a speed of 320 kmph in 4 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
|
[
"520",
"620",
"820",
"768",
"720"
] |
Distance = (240 x 5) = 1280 km.
Speed = Distance/Time
Speed = 1280/(5/3) km/hr. [We can write 1 2/3 hours as 5/3 hours]
Required speed = (1280 x 3/5) km/hr = 768 km/hr
Answer D) 768 Km/hr
The answer is: D
|
D
|
mathematics
|
Insert the missing number
3, 4, 7, 16, 43, 124, ...
|
[
"367",
"356",
"125",
"1222",
"1322"
] |
Series is having difference between susequest next number and the nuber with multiplication by 3
3, 4, 7, 16, 43, 124, ...
Differnce between 4 and 3 is 1, multiply with three and add 4 to it. 7 will come
Differnce between 7 and 4 is 3, multiply with three and add 7 to it. 16 will come
differnce between 16 and 7 is 9, multiply with three and add 16 to it. 43 will come
differnce between 43 and 16 is 27, multiply with three and add 43 to it. 124 will come
differnce between 124 and 43 is 81, multiply with three and add 124 to it. 367 will come
ANSWER:A
The answer is: A
|
A
|
mathematics
|
A sum of money at simple interest amounts to Rs. 2240 in 2 years and to Rs. 2600 in 5 years. What is
the principal amount
|
[
"1000",
"1500",
"2000",
"2500",
"None of these"
] |
Explanation:
SI for 3 year = 2600-2240 = 360
SI for 2 year 360/3 * 2 = 240
principal = 2240 - 240 = 2000
Answer:C
The answer is: C
|
C
|
mathematics
|
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the total share of A & B in profit of Rs.12100 after a year?
|
[
"Rs.6030",
"Rs.4050",
"Rs.6050",
"Rs.7050",
"Rs.6080"
] |
6300:4200:10500
3:2:5
A'share =3/10 * 12100 = 3630
B's share =2/10*12100 = 2420
Required total share = 3630 + 2420 = 6050
Answer : C
The answer is: C
|
C
|
mathematics
|
In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If Rs 157300 was their profit, how much amount did B receive?
|
[
"Rs. 48000",
"Rs. 48200",
"Rs. 48400",
"Rs. 48600",
"None"
] |
Solution: Assume that investment of C = x
Then, investment of A =2x
Investment of B = 4x/3
A:B:C = 2x : 4x/3 : x = 2 : 4/3 : 1 =6 : 4 : 3
B's share = 157300 * 4/(6+4+3) = 157300*4/13
= 12100*4 = Rs. 48400.
Answer: Option C
The answer is: C
|
C
|
mathematics
|
The effective annual rate of interest corresponding to a nominal rate of 12% per annum payable half-yearly is?
|
[
"16.06%",
"16.07%",
"12.36%",
"6.09%",
"6.19%"
] |
Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 6/100)2] = Rs. 112.36 Effective rate = (112.36 - 100) = 12.36%
ANSWER:C
The answer is: C
|
C
|
mathematics
|
Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/2 of capacity in 6 hours and a second inlet pipe fills the same empty tank to 2/3 of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
|
[
"3.25",
"3.6",
"4.2",
"4.4",
"5.14"
] |
Time taken by First tank Fill 1/2 the tank = 6 hours
i.e. Time taken by First tank to Fill 1 complete the tank =12 hours
Time taken by Second tank Fill 2/3 the tank = 6 hours
i.e. Time taken by First tank to Fill 1 complete the tank = (3/2)*6 = 9 hours
in 1 Hour, Both tanks together Fill the tank = (1/12)+(1/9) = 7/36 tank
i.e. Time taken by Both tank to Fill 1 complete the tank = 36/7 hours = 5.14 hours
Answer: option E
The answer is: E
|
E
|
mathematics
|
Three numbers are in the ratio 3 : 4 : 8. The sum of its longest and smallest numbers equals the sum of the third number and 42. Find the third number?
|
[
"A)54",
"B)75",
"C)24",
"D)46",
"E)63"
] |
Let the numbers be 3x, 4x, 8x.
Largest number = 8x.
Smallest number = 3x.
Third number = 4x.
8x + 3x = 4x + 42
7x = 42 =>x=6
4x=24 =>third number is 24.
Answer:C
The answer is: C
|
C
|
mathematics
|
How long does a train 105 m long running at the speed of 68 km/hr takes to cross a bridge 90 m length?
|
[
"13.9 sec",
"10.7 sec",
"17.9 sec",
"61.9 sec",
"47.98 sec"
] |
Speed = 68 * 5/18 = 19m/sec
Total distance covered = 105 + 90 = 205 m.
Required time = 205/19 = 10.7 sec.
Answer:B
The answer is: B
|
B
|
mathematics
|
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
|
[
"2 hours",
"1 hours",
"7 hours",
"4 hours",
"3 hours"
] |
Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream = 68/17 hrs = 4 hrs.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 1 shirts each of them then average number of shirt each of them now has
|
[
"66",
"63",
"62",
"64",
"61"
] |
Required average
= Old average + New average
= 60 + 1 = 61
answer :E
The answer is: E
|
E
|
mathematics
|
There is a soccer tournament that is single elimination meaning that after one loss the team is out. There are 15 teams in this tournament. How many games are played?
|
[
"15",
"7",
"8",
"14",
"10"
] |
D
The number of games always adds up to one less than the number of teams in a single elimination tournament. You may calculate it any way. Therefore, 14 games were played.
The answer is: D
|
D
|
mathematics
|
If 15% of 40 is greater than 25% of a number by 2, then the number is?
|
[
"12",
"8",
"15",
"20",
"16"
] |
Let the number be x
50% of 40 - 25% of x = 2
25/100 x = (15/100 * 40)-2
x/4 = 4
x = 16
Answer is E
The answer is: E
|
E
|
mathematics
|
Company ABC imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
|
[
"420",
"400",
"1050",
"1680",
"2100"
] |
Answer A.
We are told that 10% of all imported widgets are made of brass and of those, 20% are green and 40% are red. Since we know that there are only three colors, the remaining 40% must be blue. 40% blue of 10% brass widgets leads to 4% blue brass widgets out of the total 10,550 widgets.
10,000 /100 * 4 = 400.
Answer B.
The answer is: B
|
B
|
mathematics
|
The average of the first five multiples of 9 is:
|
[
"20",
"27",
"28",
"30",
"None of these"
] |
Solution: Required average = (total sum of multiple of 9)/5
= (9+18+27+36+45)/5
= 27
Note that, average of 9 and 45 is also 27.
And average of 18 and 36 is also 27.
Answer: Option B
The answer is: B
|
B
|
mathematics
|
In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
|
[
"8 1/3",
"8 1/5",
"8 1/6",
"8 1/2",
"8 1/7"
] |
(4000*3*R)/100 = (5000*5*4)/100
R = 8 1/3.Answer: A
The answer is: A
|
A
|
mathematics
|
A person bought 129 glass bowls at a rate of Rs. 11 per bowl. He sold 118 of them at Rs. 15 and the remaining broke. What is the percentage gain for A?
|
[
"40",
"2900/129",
"2430/70",
"2791/11",
"2719/8"
] |
CP=129*11=1419 and SP=118*15=1770
Gain %= 100*(1770-1419)/1419= 2900/129
ANSWER:B
The answer is: B
|
B
|
mathematics
|
Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
|
[
"7 1/2 sec",
"7 1/7 sec",
"7 2/2 sec",
"8 1/2 sec",
"7 1/9 sec"
] |
70 + 50 = 120 * 5/18 = 100/3 mps
D = 150 + 100 = 250 m
T = 250 * 3/100 = 15/2 = 7 1/2 sec
Answer: D
The answer is: D
|
D
|
mathematics
|
Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum?
|
[
"17",
"19",
"21",
"13",
"18"
] |
(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 149 + 2* 70
a + b + c = √289 = 17
Answer A
The answer is: A
|
A
|
mathematics
|
After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?
|
[
"3347",
"2788",
"5000",
"2787",
"2811"
] |
Given SP = Rs. 6800
Marked price = [SP(100)]/(100 - d%) = (6800 * 100)/(100 - 15) = Rs. 8000
If SP = Rs. 8000, profit = 60%
CP = [SP(100)]/(100 + 60) = (8000 * 100)/160 = Rs. 5000
Answer: C:
The answer is: C
|
C
|
mathematics
|
What is the remainder when 14,451 × 15,651 × 16,788 is divided by 5?
|
[
"1",
"2",
"4",
"3",
"5"
] |
Only the unit's digit of the product will decide the remainder when divided by 5.
Hence, 1*1*8= will give units digit as 8
So, whatever be the number, if it ends in 8, the remainder after dividing with 5 will be 3.
OptionD
The answer is: D
|
D
|
mathematics
|
A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
|
[
"14700",
"14500",
"14000",
"15000",
"15200"
] |
Total amount invested = 50000
Assume that investment of C =x.
Then investment of B =5000+x,
Investment of A =4000+5000+x=9000+x
x+5000+x+9000+x=50000
⇒3x+14000=50000
⇒3x=50000–14000=36000
⇒x=36000/3=12000
Investment of C =x=12000
Investment of B =5000+x=17000
Investment of A =9000+x=21000
Ratio of the investment of A, B and C
=21000:17000:12000=21:17:12
Share of A = Total profit ×21/50
=35000×2150=700×21=14700
Answer is A.
The answer is: A
|
A
|
mathematics
|
There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a white ball has been drawn, find the chance that it came from first group.
|
[
"2/7",
"6/35",
"8/25",
"75/89",
"3/175"
] |
Please go through my solution and suggest any mistake.
Chances of selecting a white ball from group 1: 5/7----------------------Chances of selecting a white ball from group 2: 1/5
Thus combined probability of section of white ball from group 1:
3/5 x 5/7 = 3/7
Thus combined probability of section of white ball from group 2:
2/5 x 1/5 = 2/25
Out of these chances, chance of occurrence of first case : (3/7) / (3/7 + 2/25) = 75/89
D
The answer is: D
|
D
|
mathematics
|
The price of a certain house this year is $140,000, which is 25 percent greater than the cost of the house last year. What was the price of the house last year?
|
[
"$112,000",
"$114,000",
"$116,000",
"$118,000",
"$120,000"
] |
The price of the house last year was $140,000/1.25=$112,000
The answer is A.
The answer is: A
|
A
|
mathematics
|
Zoey won the lottery and got $7,348,340. she wants to split it among herself and 5 friends evenly. how much money must she add if she wants to split it evenly?
|
[
"$3",
"$2",
"$9",
"$1",
"$4"
] |
Zoey and her 5 friends is 6 people in all. $7,348,340 must be divisible by 6 if she wants to split it evenly. The money is divisible by 6 if it's divisible by 2 and 3. 7+3+4+8+3+4+0=29. 2 and 3 cant go into 29. Adding 1 dollar makes it 30. 2 and 3 can go into 30 so 6 can also. The answer is D.
The answer is: D
|
D
|
mathematics
|
A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price x. The store sold the first 150 copies in the first week at 80% more than x, and then over the next month, sold a 100 more at 20% more than x. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than x. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
|
[
"30% loss",
"10% loss",
"10% profit",
"20% profit",
"60% profit"
] |
[[x(150)(1.8)+x(100)(1.2)+x(150)(0.6)]/400x] - 1
[50[(3)(1.8) + (2)(1.2) + (3)(0.6)] / (50)(8)] - 1
[(5.4 + 2.4 + 1.8)/8] - [8/8]
+1.6/8
+20%
answer is D
The answer is: D
|
D
|
mathematics
|
The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
|
[
"2:2",
"2:9",
"2:4",
"Cannot be determined",
"None of these"
] |
Let the present ages of Anil and his son be 7x and 3x years respectively.
Let the present age of the son's mother be m years.
(m + 6)/(3x + 6) = 2/1
m = 6x + 6
Ratio of the present ages of Anil and his son's mother = 7x/(6x + 6).
This cannot be found uniquely.
Answer:D
The answer is: D
|
D
|
mathematics
|
Sophia finished 2323 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
|
[
"140",
"320",
"745",
"270",
"350"
] |
Let x be the total number of pages in the book, then she finished 23⋅x pages.
Then she has x−23⋅x=13⋅xpages left.
23⋅x−13⋅x=90
13⋅x=90
x=270
So the book is 270 pages long.
correct answer is D)270
The answer is: D
|
D
|
mathematics
|
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
|
[
"180",
"88",
"278",
"268",
"267"
] |
Let the five numbers be P, Q, R, S and T.
=> P + Q + R + S + T = 655.
(P + Q)/2 = 85 and R = 125
P + Q = 170 and R = 125
P + Q + R = 295
S + T = 655 - (P + Q + R) = 360
Average of the last two numbers = (S + T)/2 = 180.
Answer: A
The answer is: A
|
A
|
mathematics
|
SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 8
60-69--------------------------10
70-79--------------------------16
80-89--------------------------27
90-99--------------------------18
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 79 scores?
|
[
"39th (80-89)",
"40th",
"34th",
"37th",
"35th"
] |
Total scores= 8+10+16+27+18 = 79, which is odd, therefore the median is the Floor(79/2)+1 = 39th score. And the 39th score is in the 80-89 range, because 50-79 only reference 34 scores.
A
The answer is: A
|
A
|
mathematics
|
What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
|
[
"1267",
"2876",
"1865",
"2506",
"1812"
] |
Explanation:
358/179 ….. 895/179
179(2 + 3 + 4 + 5) => 2506
Answer:D
The answer is: D
|
D
|
mathematics
|
The ages of two persons differ by 16 years. If 6 years agao, the elder one be 3 times as old as the younger one, find their present ages.
|
[
"20 years.",
"30 years.",
"40 years.",
"50 years.",
"60 years."
] |
Sol.
Let the age of the younger person be x years.
Then, age of the elder perosn = (x + 16) years.
∴ 3(x - 6) = (x + 16 - 6) ⇔ 3x - 18 = x + 10
⇔ 2x = 28 ⇔ x = 14
Hence, their present ages are 14 years and 30 years.
Answer B
The answer is: B
|
B
|
mathematics
|
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 9 years?
|
[
"1 : 3",
"2 : 3",
"1 : 2",
"4 : 9",
"1 : 4"
] |
Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 4)/100 DIVIDED BY (P x R x 9)/100
= 4PR/9PR = 4/9 = 4 : 9.
ANSWER : D
The answer is: D
|
D
|
mathematics
|
The angles of a triangle are in the ratio 1 : 3 : 8. Find the measurement of the 3angles of triangle.
|
[
"100°",
"110°",
"120°",
"180°",
"190°"
] |
If the ratio of the three angles is 1:3:8, then the measures of these angles can be written as x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 3x + 8x = 180
Solve for x
12x = 180
x = 15
The measures of the three angles are
x = 15°
3x = 3 × 15 = 45°
8x = 8 × 15 = 120°
C
The answer is: C
|
C
|
mathematics
|
When x is divided by 6, the quotient is y and the remainder is 1. When x is divided by 6, the quotient is z and the remainder is 6. Which of the following is the value of y in terms of z?
|
[
"4z/7 + 5",
"(7z + 5) / 6",
"(6z + 5) / 6",
"(7z + 5) / 4",
"(4z + 6) / 7"
] |
When x is divided by 6, the quotient is y and the remainder is 1: x = 6y + 1.
When x is divided by 6, the quotient is z and the remainder is 6: x = 6z + 6.
Equate those two:
6y + 1 = 6z + 6;
y = (6z + 5)/6.
Answer: C.
The answer is: C
|
C
|
mathematics
|
Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $100?
|
[
"4",
"12",
"15",
"22",
"24"
] |
you could set-up a quick table and brute force the answer.
A 4 * 50 200 1800 -200 1600 26 61.54
B 12 * 50 600 1800 -600 1200 18 66.67
C 15 * 50 750 1800 -750 1050 15 70.00
D 22 * 50 1000 1800 -1000 800 8 100.00
E 24 * 50 1200 1800 -1200 600 6 100.00
Answer is D
The answer is: D
|
D
|
mathematics
|
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability R the piece ends no more than 7 spaces from the square numbered 49?
|
[
"7%",
"8%",
"14%",
"15%",
"28%"
] |
OA is E
required prob is 7 spaces any side of 49.
so total 14 spaces are required in 7 moves which can be achieved by max 7 move on any side
so total spaces = 28
probability R= 28%.E
The answer is: E
|
E
|
mathematics
|
A 340-liter solution of Kola is made from 80% water, 6% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
|
[
"6%.",
"7.5%.",
"9.2%.",
"10.5%.",
"14%."
] |
Denominator:
340+10+3.2+6.8=360
Numerator:
340(1-.80-.06)+3.2
340(0.14)+3.2
47.6+3.2
50.8
Ratio:
50.8/360=0.14
Answer: E
The answer is: E
|
E
|
mathematics
|
The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder?
|
[
"281",
"528",
"440",
"767",
"1981"
] |
r = 7 h = 5
2πr(h + r) = 2 * 22/7 * 7(12) = 528
Answer:B
The answer is: B
|
B
|
mathematics
|
A right triangle has sides of a, b, and 9, respectively, where a and b are both integers. What is the value of (a + b)?
|
[
"64",
"49",
"96",
"81",
"72"
] |
LET a= hypotenuse , b =base ,9 = perpendicular . therefore a^2 -b^2 =9^2 or (a+b)(a-b) = 81
a+b =81/a-b ' a-b cannot be zero ..therefore a+ b =81 where a-b is equal to 1
D
The answer is: D
|
D
|
mathematics
|
The “a-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^a, where a is the a-number of the result of his die roll, and plots 3^a on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?
|
[
"3/8",
"13/36",
"17/36",
"19/36",
"23/36"
] |
If you calculate 3^a for 1st roll, all 6 results will be 9, 81, 6561, 729, 9, 81. This result is the same for 2nd roll. 9, 81, 6561, 729, 9, 81.
About distance: If the first result is 9 and the second is also 9, the distance is 9-9=0 which is smaller than 9. If the first result is 9 and the second is 81, the distance is 81-9=72 which is also smaller than B which has the value of 81. If the first result is 81 and the second is 9, the distance will be greater than B. Distance 81-9=72>9.
On the first roll, the probability of getting result 9 is 2/6. In this case no other alternative values for second roll which would make the distance greater than B. So probability is 0. So next estimations are:
probability of getting 81 on the first roll (2/6) * probability of getting 9 on the second roll (2/6) = 1/9
probability of getting 729 on the first roll (1/6) * probability of getting 9, 81 on the second roll (4/6) = 1/9
probability of getting 6561 on the first roll (1/6) * probability of getting 9, 81, 729 on the first roll (5/6) = 5/36
All together: 1/9 + 1/9 + 5/36 = 13/36=B
The answer is: B
|
B
|
mathematics
|
A and B began business with Rs.6000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
|
[
"240",
"288",
"277",
"357",
"361"
] |
(6*8 + 5*4):(4*8 + 5*4)
17:13
17/30 * 630 = 357
Answer: D
The answer is: D
|
D
|
mathematics
|
Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 35% and its breadth is decreased by 21%?
|
[
"4.65% increase",
"5.65% increase",
"6.65% increase",
"6.65% decrease",
"7.65% increase"
] |
let L and B be 100 each
100 * 100 = 10000
L increase by 35% = 135
B decrease by 21% = 79
135 * 79 = 10665
6.65% increase
ANSWER:C
The answer is: C
|
C
|
mathematics
|
If the remainder is 12 when the integer n is divided by 22, what is the remainder when 2n is divided by 11?
|
[
"0",
"2",
"3",
"6",
"7"
] |
n = 22k+12
2n = 2(22k+12) = 4*11k + 24 = 4*11k + 2*11 + 2 = 11j+2.
The answer is B.
The answer is: B
|
B
|
mathematics
|
A and B can do a piece of work in 4 days, B and C in 6 days, C and A in 3 days. How long will C take to do it?
|
[
"8 days",
"10 days",
"12 days",
"4 days",
"12 days"
] |
2c = 1/6 + 1/3 – 1/4 = 1/4
c = 1/8 => 8 days
Answer:A
The answer is: A
|
A
|
mathematics
|
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss
|
[
"$25",
"$30",
"$50",
"$40",
"$42"
] |
20 lollipops = $90, sold each for $2, so he sold 20 lollipops for 20 * $2= $40, Loss = $(90-40), loss = $50. correct answer : (C)
The answer is: C
|
C
|
mathematics
|
The average (arithmetic mean) monthly income of four workers is $1,000. After one worker’s income increases by 50 percent the new average income is $1,200. What was the original income of the worker whose monthly income increased?
|
[
"$1,800",
"$1,500",
"$1,300",
"$1,600",
"$1,100"
] |
Increase in total income was 200*4=$800, we know that this increase was 50% (1/2) of the workers original income, thus his/her original income was 800*2=$1,600.
Answer: D
The answer is: D
|
D
|
mathematics
|
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?
|
[
"34 days",
"40 days",
"46 days",
"50 days",
"None of these"
] |
Explanation:
Less Cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
[Cows1 40
Bags 40 1]::40:x
=>x∗40∗1=40∗1∗40
=>x=40
Option B
The answer is: B
|
B
|
mathematics
|
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time.If the finance charges= 40 percent of the remainder the cost, how much less would 2 machines of type A cost than 1 machine of type B?
|
[
"$10,000",
"$11,200",
"$12,000",
"$12,800",
"$13,200"
] |
1 machine of type B will cost: 20% down payment of 50,000 = 10,000 plus remaining sum (50,000-10,000=40,000) with 40% of finance charges 40,000*1.4=56,000 --> 10,000+56,000=66,000;
2 machine of type A will cost: 20% down payment of 2*20,000 = 8,000 plus remaining sum (40,000-8,000=32,000) with 40% of finance charges 32,000*1.4=44,800 --> 8,000+44,800=52,800;
Difference = 66,000 - 52,800 = 13,200.
Answer: E.
The answer is: E
|
E
|
mathematics
|
A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 340 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
|
[
"40",
"110",
"120",
"130",
"220"
] |
Orchestra Seats - a
Balcony Seats - b
a+b = 340
and 12a + 8b = 3320
Solving equations simultaneously (Multiply Equation 1 with 8 and subtract from second equation)
4a = 3320 - 8*340 = 3320 - 2720 = 600
i.e. a = 150
and b = 340-150 = 190
More seats in balcony than orchestra = b-a = 190 - 150 = 40
Answer: option A
The answer is: A
|
A
|
mathematics
|
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
|
[
"3.34",
"3.37",
"3.35",
"3.76",
"3.31"
] |
Area of the path = Area of the outer circle - Area of the inner circle
= ∏{4/2 + 25/100}2 - ∏[4/2]2
= ∏[2.252 - 22] = ∏(0.25)(4.25) { (a2 - b2 = (a - b)(a + b) }
= (3.14)(1/4)(17/4) = 53.38/16 = 3.34 sq m
Answer: A
The answer is: A
|
A
|
mathematics
|
Three positive integers a, b, and c are such that their average is 80 and a ≤ b ≤ c. If the median is (a + 20), what is the least possible value of c?
|
[
"88",
"89",
"90",
"92",
"94"
] |
Solution
Given Data
3 positive integers
Average of a, b, and c = 80
So, a+b+c3a+b+c3 = 240 or a + b + c = 240
a ≤ b ≤ c
Median = (a + 20)
Median of these 3 numbers a, b, and c is ‘b’ because a ≤ b ≤ c
Therefore, b = a + 20
Objective To find the least value of 'c'
Theoretically, the least value of c is when c = b.
Therefore, a + (a + 20) + (a + 20) = 240 (b and c are equal and b, the median, is a + 20)
Or 3a = 200 or a = 66.66
So, b = c = 66.66+ 20 = 86.66
However, we know that these numbers are all integers.
Therefore, a, b, and c cannot take these values.
So, the least value for c with this constraint is NOT likely to be when c = b
Let us increment c by 1. Let c = (b + 1)
In this scenario, a + (a + 20) + (a + 21) = 240
Or 3a = 199. The value of the numbers is not an integer in this scenario as well.
Let us increment c again by 1. i.e., c = b + 2
Now, a + (a + 20) + (a + 22) = 240
Or 3a = 198 or a = 66
If a = 66, b = 86 and c = 88.
The least value for c that satisfies all these conditions is 88.
Correct answer is choice A.
The answer is: A
|
A
|
mathematics
|
Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
|
[
"10 years",
"38 years",
"39 years",
"64 years",
"44 years"
] |
current age = 26 years because Nitin's age was equal to square of some number ( 25= 5^2) last year and the following year it would be cube of a number (27= 3^3).
Next cube age will be 64 =4^3 which will come after 64-26 = 38 years.
ANSWER:B
The answer is: B
|
B
|
mathematics
|
A case contains C cartons. Each carton contains B boxes, and each box contains 200 paper clips. How many paper clips are contained in 2 cases?
|
[
"200BC",
"200B/C",
"400BC",
"400B/C",
"400/BC"
] |
2 cases * C cartons/case * B boxes/carton * 200 clips/box = 400BC paper clips
The answer is C.
The answer is: C
|
C
|
mathematics
|
A baker filled with a measuring cup with 3/4 cup water. He poured 1/2 of the water into the batter, and then spilled 1/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
|
[
"1/8 cup",
"3/8 cup",
"1/4 cup",
"1/2 cup",
"7/8 cup"
] |
3/4 is the original water in cup .half in batter.So left is 3/8 out which 1/8 is spilled out.So again left with 2/8.
so 50% more than what he started was = 3/4+1/2*(3/4)=9/8
Amount of water needed to add = 9/8 - 2/8=7/8
ANSWER:E
The answer is: E
|
E
|
mathematics
|
The average age 9 members of a committee are the same as it was 4 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
|
[
"20 years",
"21 years",
"18 years",
"29 years",
"36 years"
] |
9 * 4 = 36 years
Answer:E
The answer is: E
|
E
|
mathematics
|
A password of a computer used four digits where they are from 0 and 9. What is the probability that the password only consists of even numbers?
|
[
"1/4",
"1/16",
"1/32",
"1/400",
"1/800"
] |
There are five possibilities out of ten that the each digit is even, so the overall probability is 1/2 * 1/2 * 1/2 * 1/2 (answer B)
The answer is: B
|
B
|
mathematics
|
When w is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when w + y is divided by 5?
|
[
"0",
"1",
"2",
"3",
"4"
] |
In my view the answer should be C
w/5 has Remainder=3 -> w = 5 x Q + 3
Y/5 has a Remainder=4 -> Y = 5 x Q + 3
Combining both
((5 x Q1 + 3) + (5 x Q2 + 3))/5 =
5(Q1+Q2)/5 + 7/5 =
Q1+Q2 + 7/5
7/5 = 1+ 2/5 => Remainder 2
Answer C
The answer is: C
|
C
|
mathematics
|
P and Q started a business investing Rs.85,000 and Rs.15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
|
[
"3 : 4",
"3 : 5",
"15 : 23",
"17 : 3",
"None"
] |
Solution
P : Q = 85000 : 15000
=85 : 15
=17 : 3
Answer D
The answer is: D
|
D
|
mathematics
|
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-7, 1), (1, 1), (1, -6) and (-7, -6)?
|
[
"112",
"64",
"42",
"24",
"56"
] |
Length of side 1= 7+1=8
Length of side 2= 6+1= 7
Area of rectangle= 7*8= 56
E is the answer
The answer is: E
|
E
|
mathematics
|
Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.580?
|
[
"Rs.500",
"Rs.5100",
"Rs.530",
"Rs.540",
"None of these"
] |
Explanation:
580 = P [1 + (5*16/5)/100]
P= 500
Answer: Option A
The answer is: A
|
A
|
mathematics
|
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
|
[
"$50",
"$320",
"$150",
"$100",
"$400"
] |
Let x be the price of one shirt, y be the price of one pair of trousers and z be the price of one hat.
4x + 4y + 2z = 560 :
9x + 9y + 6z = 1,290
3x + 3y + 2z = 430 : divide all terms of equation C by 3
x + y = 130 : subtract equation D from equation B
3(x + y) + 2z = 430 : equation D with factored terms.
3*130 + 2z = 430
z = 20 : solve for z
x + y + z = 130 + 20 = $150
correct answer C
The answer is: C
|
C
|
mathematics
|
Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
|
[
"Rs.2166.67",
"Rs.2234",
"Rs.2345.13",
"Rs.2456.34",
"Rs.2550.34"
] |
Now, in this numerical, there is no common loss and gain %.
Hence, solve it making equations.
Let cost price of camel be x.
As cost of camel and carriage = Rs 5000
Cost of carriage = Rs. (5000 – x)
After selling camel he gains 20% and on carriage a loss of 10%. But on the whole he gains 3%.
Therefore,
20% of x – 10 % of (5000 – x) = 3 % of 5000
20 × x – 10 × (5000 – x) = 3 × 5000
100 100 100
x – (5000 – x) = 150
5 10
10x – (5000 – x) × 10 = 150 × 10
5 10
2x-5000+x=1500
3x=1500+5000
x=2166.67
The cost of camel = Rs.2166.67
Option (A) is the correct answer
The answer is: A
|
A
|
mathematics
|
I. j; k; m; n; p
II. j - 10; m; m; m; p + 15
III. j + 2; k + 1; m; n - 1; p - 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation D to least standard deviation in which of the following?
|
[
"I, III, II",
"II, I, III",
"II, III, I",
"III, I, II",
"III, II, I"
] |
Range of 1st Set = (p-j)
Range of 2nd Set = P+15 - j +10 = (p-j) +25
Range of 3rd Set = P -2 - j - 2 = (p-j) - 4
R2 > R1 > R3 ==> SD2 > SD1 > SD3
Since,D= Higher the Range -> More Dispersion in the Set -> More Standard Deviation.B
The answer is: B
|
B
|
mathematics
|
Kelly and Jody packed boxes with books. If Jody packed 60% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?
|
[
"1 to 6",
"1 to 4",
"2 to 5",
"3 to 5",
"2 to 3"
] |
Explanation:
If Jody packed 60% of the boxes then Kelly packed 40%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 40%/60%=2/3
Answer: Option E
The answer is: E
|
E
|
mathematics
|
A man performs 1/2 of the total journey by rail, 1/3 by bus and the remaining 3km on foot. His total journey is
|
[
"18km",
"10km",
"12km",
"24km",
"25km"
] |
Explanation:
Let the journey be x km
Then, 1x/2 + 1x/3 +3 =x
5x +18 =6x
X = 18km
Answer: Option A
The answer is: A
|
A
|
mathematics
|
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 4:3:2. If there are in all Rs.42, the number of one rupee coins is?
|
[
"22",
"26",
"18",
"16",
"24"
] |
4x 3x 2x
50 25 100
200x + 75x + 200x = 3800
475x = 3800
x = 8 => 2x = 16
Answer: D
The answer is: D
|
D
|
mathematics
|
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 6-hour period?
|
[
"88",
"56",
"42",
"51",
"64"
] |
Complete trip = 10 floors up and 10 floors down = 20 floors = 20*1/4 = 5 minutes plus 2 minutes = 7 minutes.
6 hour = 360 minutes.
In 360 minutes operator can make 360/7=51 trips.
Answer: D.
The answer is: D
|
D
|
mathematics
|
For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score W for the exam?
|
[
"74",
"76",
"78",
"80",
"82"
] |
A score of 58 was 2 standard deviations below the mean --> 58 = Mean - 2d
A score of 98 was 3 standard deviations above the mean --> 98 = Mean + 3d
Solving above for Mean W= 74.
Answer: A.
The answer is: A
|
A
|
mathematics
|
If N = 23×34 , M = 22×3×5, then find the number of factors of N that are common with the factors of M.
|
[
"3",
"9",
"8",
"6",
"2"
] |
Answer: c
Explanation:
N = 23×34
M = 22×3×5
By taking common powers we get 22×3
So common factors = (2 + 1)(1 + 1) = 6.
(formula for number of factors of a number)
Answer:D
The answer is: D
|
D
|
mathematics
|
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone.
|
[
"1 1/8 days",
"1 1/2 days",
"3 1/2 days",
"1 1/5 days",
"1 5/2 days"
] |
3/20 * 2 + (2 + x)/5 = 1
x = 1 1/2 days
Answer:B
The answer is: B
|
B
|
mathematics
|
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
|
[
"1/187",
"1/127",
"1/178",
"1/129",
"1/126"
] |
Out of nine, five are good and four are defective. Required probability
= ⁴C₄/⁹C₄
= 1/126
Answer:E
The answer is: E
|
E
|
mathematics
|
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
|
[
"A) 5.61",
"B) 8",
"C) 10",
"D) 17.19",
"E) 24"
] |
Old time in minutes to cross 9 miles stretch = 9*60/55 = 9*12/11 = 9.81
New time in minutes to cross 9 miles stretch = 9*60/20 = 9*3/1 = 27
Time difference = 17.19
Ans:D
The answer is: D
|
D
|
mathematics
|
Haris can wash all the windows of his house in 10 hours. His wife Maggie can wash all the windows in 5 hours. How many hours will it take for both of them working together to wash all the windows?
|
[
"2",
"3 1/3",
"4 1/4",
"5",
"6"
] |
Work hrs=AB/(A+B)= 50/15 =3 1/3
Answer is B
The answer is: B
|
B
|
mathematics
|
A family made a down payment of $25
and borrowed the balance on a set of
encyclopedias that cost $400. The
balance with interest was paid in 28
monthly payments of $16 each and a
final payment of $19. The amount of
interest paid was what percent of the
amount borrowed?
|
[
"6.75%",
"12.25%",
"14.23%",
"16.66%",
"24.53%"
] |
interest paid = 16*28+19 - 375 = 92
% off the balance = (92/375) * 100 = 24.53%
Answer is E.
The answer is: E
|
E
|
mathematics
|
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $19, what was the price before the first discount?
|
[
"$45.10",
"$34.31",
"$28.44",
"$67.54",
"$33.77"
] |
let x be the price before the first discount. The price after the first discount is
x - 25%x (price after first discount)
A second discount of 25% of the discounted price after which the final price is 19
(x - 25%x) - 25%(x - 25%x) = 19
Solve for x
x = $33.77
correct answer E
The answer is: E
|
E
|
mathematics
|
Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 42 yr. How old is E?
|
[
"10 yr",
"40 yr",
"45yr",
"64 yr",
"NOne"
] |
Solution:
Total present age of A, B, C and D,
= (45*4)+(4*5) = 200 yr;
Total age present age of A, B, C, D and E,
= 42*5 = 210 yr.
So, age of E = 10 yr.
Answer: Option A
The answer is: A
|
A
|
mathematics
|
A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 20 speak English well, while 60 of them do not speak English. If 60% of students do not speak French, how many students were surveyed?
|
[
"250",
"225",
"175",
"195",
"200"
] |
Number of students who speak French are 60 + 20 = 80
Of total students, the percentage of students who do not speak French was 60% --> percentage of who do is 40%
80-------40%
x ------- 100%
x = 80*100/40 = 200 = number of all students
Answer is E
The answer is: E
|
E
|
mathematics
|
Without stoppages a train travels a certain distance with an average speed of 80 km/h and with stoppages with an average speed speed of 60 km/h. How many minutes per hour does the train stops ?
|
[
"25 min",
"10 min",
"18 min",
"15 min",
"20 min"
] |
let us assume the distance is x km.
if the train travels 80km/h without stopages then it takes (x/80) hour to rech.
and with stopage it takes (x/60) hour.
let the train stops t min per hour.
then according to the question
(x/80)=(x/60)+(t/60)*(x/60)
then t=15 min.
ANSWER:D
The answer is: D
|
D
|
mathematics
|
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
|
[
"28 sec",
"16 sec",
"21 sec",
"11 sec",
"18 sec"
] |
Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35
= 16 sec
Answer:B
The answer is: B
|
B
|
mathematics
|
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,055. How much did she invest at 5%?
|
[
"$500",
"$600",
"$700",
"$900",
"$950"
] |
et x be the portion invested at 5% and
Let (1-x) be the rest which is invested at 6%
The question states that the return after 1 year is (1055/1000)-1 = 0.055 = 5.5%
We want to find the dollar amount invested in X
Using our defined variables, put together the equation and solve for x (the percentage of 1000 invested at 5%)
0.05x+0.06(1-x)= 0.055
(0.05)x +0.06 - (0.06)x = 0.055
-0.01x = -0.005
x= -0.005/-0.01 = 5/10 = 50%
So X = 50% of the 1000 which is 500
ANSWER:A
The answer is: A
|
A
|
mathematics
|
One pump drains one-half of a pond in 4 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
|
[
"1 hour",
"1.1 hour",
"3 hours",
"5 hours",
"6 hours"
] |
First pump drains 1/2 of the tank in 4 hours
so 8 hours it will take to drain the full tank.
Let, 2nd pump drains the full tank in a hours
so both together can drain (1/8+1/a) part in 1 hour
son in 1/2 hour they drain 1/2*(1/8+1/a) part of the tank
given that in 1/2 hour they drain 1/2 of the tank
hence we can say
1/2*(1/8+1/a) = 1/2
solving u get a = 8/7=1.1
Hence answer is B
The answer is: B
|
B
|
mathematics
|
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 6 men, 4 women and 10 children together complete the piece of work?
|
[
"5 days",
"15 days",
"28 days",
"8 days",
"7 days"
] |
Explanation:
1 man’s 1 day’s work = 1/8 × 12 = 1/96
6 men’s 1 day’s work = 1 × 6/96 =1/16
1 woman’s 1 day’s work = 1/192
4 women’s 1 day’s work = 1/192 × 4 = 1/48
1 child’s 1 day’s work = 1/240
10 children’s 1 day’s work = 1/24
Therefore, (6 men + 4 women + 10 children)’s 1 day’s work = 1/16 + 1/48 + 1/24
= 1/8
The required No. of days = 8 days
Answer: Option D
The answer is: D
|
D
|
mathematics
|
It takes Jim two hours to wash the car and it takes Julia one hour to wash the car. Working together, how many minutes will it take them to wash the car?
|
[
"36",
"38",
"40",
"42",
"44"
] |
Jim can wash (1/2) of the car per hour.
Julia can wash 1 car per hour.
Together they can wash 1/2+1=3/2 cars per hour.
1 car / (3/2) cars per hour = 2/3 hours = 40 minutes.
The answer is C.
The answer is: C
|
C
|
mathematics
|
A furniture dealer purchased a desk for $180 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
|
[
"$40",
"$60",
"$80",
"$120",
"$100"
] |
Purchase price = 180
Selling price = x
180 + 0.4*x = x
0.6*x = 180
x = 300
Profit = 300 - 180 = 120
ANSWER:D
The answer is: D
|
D
|
mathematics
|
A reduction of 5% in the price of oil enables a house wife to obtain 10kgs more for Rs.5000, what is the reduced price for kg?
|
[
"23",
"27",
"25",
"35",
"15"
] |
5000*(5/100) = 250 ---- 10
? ---- 1 => Rs.25
Answer:C
The answer is: C
|
C
|
mathematics
|
If a student handwrites her homework it takes her 5 hours to complete it, instead if she types it takes her 8 hours to compete. Since her teacher does not mind, she starts handwriting and after 1 hour, she switches to the computer and continues by typing for 2 hours. Then asking her brother to help, he types another 11 hours and homework is completed. How long would it take to complete the homework, if she had asked her brother for help in the first place.
|
[
"5 hours",
"10 hours",
"15 hours",
"20 hours",
"25 hours"
] |
1/5+2/8 + 3/x = 1
x =20 hours. ANSWER =D
The answer is: D
|
D
|
mathematics
|
If 6<x<10<y<17, then what is the greatest possible positive integer difference of x and y?
|
[
"3",
"4",
"10",
"6",
"7"
] |
Let x=6.1 and y=16.1
Greatest possible difference=16.1-6.1=10
Answer C
The answer is: C
|
C
|
mathematics
|
Jim is able to sell a hand-carved statue for $660 which was a 20% profit over his cost. How much did the statue originally cost him?
|
[
"$496.30",
"$512.40",
"$550",
"$574.90",
"$588.20"
] |
Cost Price = 660/120 * 100 = 550
Answer : C
The answer is: C
|
C
|
mathematics
|
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?
|
[
"0.8 inches",
"1.1 inches",
"1.6 inches",
"2.0 inches",
"2.5 inches"
] |
Total Area = 8 * 8 * pi
Radius = 64 pi
Surface = .75 * 64 * pi = 48 pi
Radius of surface = 4 sqrt (3) ~ 6.8
Radius width = 8 - 6.8 = 1.2
Answer: B
The answer is: B
|
B
|
mathematics
|
At a meeting of 10 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
|
[
"263,320",
"271,180",
"282,240",
"291,470",
"308,560"
] |
10 people can be arranged around a table in 9! ways.
Consider the two chiefs who will not sit together as a single unit.
The number of ways to arrange 9 units around a table is 8!
We need to multiply this by 2 as the two people can be switched in each arrangement.
The total number of ways to arrange the chiefs is 9! - 2*8! = 7*8! = 282,240
The answer is C.
The answer is: C
|
C
|
mathematics
|
The ages of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:
|
[
"10",
"13",
"15",
"18",
"19"
] |
Explanation:
Krish’s age = 3A and Vaibhav’s age = 5A =(3A + 9)/(5A + 9)=3/4
=> 4 (3A + 9) = 3 (5A + 9)
=> A = 3
Therefore, Vaibhav’s age = 15 years. Answer: C
The answer is: C
|
C
|
mathematics
|
The area of square ABCD above is 12. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
|
[
"18−9∗π",
"12−3∗π",
"9+9/4∗π",
"9+9/2∗π",
"9/2−9/4∗π"
] |
=Square - Quarter circle
=12- pi*12/4
=12- pi*3
ANSWER:B
The answer is: B
|
B
|
mathematics
|
In how many ways letters of the word RSCUPERATE be arranged?
|
[
"275788",
"287578",
"4357809",
"437479",
"302400"
] |
RESUPERATE has 10 letters, out of which E repeated 3 times, R repeated 2 times. Hence total ways = 10! / (3!*2!) = 302400 ways
E
The answer is: E
|
E
|
mathematics
|
A women walking at 5 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
|
[
"2 1/5 Km",
"3 1/5 Km",
"4 1/3 Km",
"8 Km",
"8 1/3 Km"
] |
Formula = S1*S2/S2-S1 * T1+T2/60
= 5*6/1 * 16/60
= 30/1 * 16/60
= 30 * 4/15
= 8 Km
D
The answer is: D
|
D
|
mathematics
|
If x=3, which of the following is(are) true? I. x^2=2x II x/3 = 1 III |x|=-x
|
[
"I only",
"III only",
"II only",
"I,II only",
"I,III only"
] |
3/3 =1
Answer : C
The answer is: C
|
C
|
mathematics
|
P is three times as fast as Q and working together, they can complete a work in 10 days. In how many days can Q alone complete the work?
|
[
"11 days",
"16 days",
"40 days",
"15 days",
"19 days"
] |
B
16 days
P = 3Q
P + Q = 3Q + Q = 4Q
These 4Q people can do the work in 10 days, which means Q can do the work in 4*10 =40 days.
Answer : C
The answer is: C
|
C
|
mathematics
|
144, 121, 100, 81, 64, ?
|
[
"9",
"16",
"25",
"36",
"49"
] |
Explanation :
The pattern is 12^2, 11^2, 10^2, 9^2, 8^2, ...
So next number is 7^2 = 49
Answer : Option E
The answer is: E
|
E
|
mathematics
|
Which of the following equations has a root in common with x^2−3x+2=0 ?
|
[
"x^2-2x+1=0",
"x^2-2x-1=0",
"x^2-x+1=0",
"x^2-3x+3=0",
"x^2-7x=0"
] |
If we carefully look at the given equation we can arrange it in the following manner:
(x-1)(x-2)= 0
so the two roots are 1 and 2.
Now put 1 and 2 in given equations. The equation in which one of them gives value 0, that will be our answer.
(A) putting 1: we get 0. This is the equation.
We are lucky. No need to check other options.
A is the answer.
The answer is: A
|
A
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.