antoine-444/aqua_rat_dataset huggingface dataset:
Question: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform in meters?
Choices:
240 meters
420 meters
600 meters
Cannot be determined
Answer: A
Question: 120 is what percent of 40?
.
Choices:
2%
5%
300%
500%
Answer: C
Question: In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
I. c < t < h
II. 0 < t < h
III. (c/2) < t < (h/2)
Choices:
b) II only
c) III only
d) I and II
e) II and III
Answer: D
Question: The average age of a group of 10 students was 20. The average age increased by 3 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
38 years
44 years
None of these
Answer: B
Question: If x and y are positive integers, Choose which of the following CANNOT be the greatest common divisor of 35x and 20y?
Choices:
5(x-y)
10x
20y
35x
Answer: B
Question: An amount of Rs.1638 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
Choices:
378
396
395
394
Answer: A
Question: Calculate the dividend from Caleb's stock, if Caleb he invested Rs. 2500 at 79 to obtain an income of Rs. 200.
Choices:
6.32
7.32
2.32
1.32
Answer: A
Question: X does a work in 40 days. Y does the same work in 60 days. In how many days they together will do the same work?
Choices:
12
24
30
15
Answer: B
Question: Eighteen years ago,a father was three times as old as his son.Now the father is only twice as old as his son.Then the sum of the present ages of the son and the father is :
Choices:
72
105
108
None of these
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
19%
12%
32%
17%
Answer: B
Question: 12 men can complete a piece of work in 30 days. In how many days can 10 men complete that piece of work?
Choices:
27
36
27
11
Answer: B
Question: If m is an integer such that (-2)^2m=2^(12-m) then m=?
Choices:
2
3
4
5
Answer: C
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old id the mother at present?
Choices:
40
20
30
10
Answer: A
Question: In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Choices:
50%
54%
55%
57%
Answer: A
Question: A family consists of two grandparents, two parents, and three grandchildren. The average age of the grandparents is 65 years, the average age of the parents is 36 years, and the average age of the grandchildren is 5 years. What is the average age (in years) of the family?
Choices:
31
33
34
35
Answer: A
Question: What is 992*992?
Choices:
974,219
984,064
985,219
985,369
Answer: B
Question: A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.40 per bag, and 25-pound bags $32.25	per bag. If a customer is to buy at least	65 pounds of the grass seed,	but no more than 80 pounds,	what is the least possible cost of the grass seed that the customer will buy?
Choices:
$96.75
$98.75
$102.07
$105.3
Answer: B
Question: If the 15th day of a month is three days earlier than Saturday, What day will it be on the 24th day of the month?
Choices:
Monday
Sunday
Wednesday
Friday
Answer: D
Question: A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Choices:
120
555
288
278
Answer: A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
Rs. 690
Rs. 698
Rs. 700
Rs. 720
Answer: B
Question: An woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction, takes 3 seconds to pass him. If the goods train is 140 m long, find its speed.
Choices:
142
143
144
145
Answer: B
Question: Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P.
Choices:
62%
75%
66%
65%
Answer: A
Question: Find the least number must be subtracted from 899830 so that remaining no.is divisible by 16?
Choices:
8
7
6
9
Answer: C
Question: A candidate who gets 20% of the marks fails by 40 marks. But another candidate who gets 30% marks gets 20 marks more than necessary for passing. Find the number of marks for passing?
Choices:
200 Marks
280 Marks
160 Marks
827 Marks
Answer: C
Question: Find how many positive integers less than 10,000 are there such thatthe sum of the digits of the no. is divisible by 3?
Choices:
2789
2987
3334
3568
Answer: C
Question: A certain school implemented a reading program for its students, with the goal of getting each student to read 5 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?
Choices:
cs/2
60cs
(2cs)/12
(24c)/s
Answer: B
Question: Which of the following is a multiple of 6!-120?
Choices:
6!+320
5!+380
5!+480
4!+24
Answer: C
Question: A chef cuts a watermelon along its horizontal diameter once and then along its vertical diameter twice at right angle to each other. A slice is removed (other pieces remains intact). What will be the total surface area of the remaining portion?
Choices:
4*pi*r^2
4*pi*r^4
4*pi*r^5
4*pi*r^6
Answer: A
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 28!
Choices:
13
12
14
16
Answer: A
Question: How many integers between 1000 and 10000 have
no digits other than 4, 5 or 6?
Choices:
51
81
71
61
Answer: B
Question: United Telephone charges a base rate of $7.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
Choices:
100 minutes
120 minutes
140 minutes
160 minutes
Answer: A
Question: A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability Q that the team will have exactly 2 women?
Choices:
1/7
2/7
3/7
1/2
Answer: C
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
Choices:
1/1
1/5
1/4
1/0
Answer: B
Question: Is a given rectangular block, a cube?
I. At least 2 faces of the rectangular block are squares.
II. The volume of the block is 64.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: C
Question: If s is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT
Choices:
s is divisible by 8
The average of w, x, y, and z is odd
s is divisible by 4
w + x + 8 = y + z
Answer: A
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 80%?
Choices:
20.8
28.8
18.8
17.8
Answer: B
Question: 5. Find the value for log58 + 5(1/1000)
Choices:
-3
4
-4
5
Answer: A
Question: If the President and Vice President must sit next to each other in a row with 2 other members of the Board, how many different seating arrangements are possible?
Choices:
240
12
360
720
Answer: B
Question: here are 5 Rock songs, 6 karnatic songs and 3 Indi pop songs. How many different albums can be formed using the above albums should contain at least 1 Rock song and 1 karnatic song?
Choices:
45124
15624
45654
36254
Answer: B
Question: 3 people are sitting in a 4 seat row watching a football game. At halftime they all get up. When they return, they each randomly sit down on one of the 4 chairs. What is the likelihood that none of the 4 end up sitting in the same chair that they sat in during the first half?
Choices:
1/2
15/24
18/24
21/24
Answer: A
Question: Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left.
Choices:
4.8
4.3
4.6
4.9
Answer: C
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical E present. If the concentration of chemical E is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
Choices:
50% decrease
40% decrease
40% increase
50% increase
Answer: C
Question: Peter read R books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects this relationship?
Choices:
R < N − 35
R > N + 35
R = N − 35
R = N + 35
Answer: D
Question: Simplify
25âˆ’[2âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]
Choices:
37
28
30
32
Answer: A
Question: A man performs 1/2 of the total journey by rail, 1/3 by bus and the remaining 6km on foot. His total journey is
Choices:
10km
12km
24km
36km
Answer: D
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
Choices:
10
25
45
15
Answer: A
Question: The average expenditure of a labourer for 6 months was 95 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
Choices:
72
75
78
84
Answer: D
Question: A four-character password consists of one letter of the alphabet and three different digits between 0 and 7, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choices:
18,720
17,472
37,440
52,000
Answer: B
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
20
7878
656
27
Answer: A
Question: If p/8 = r/2 and r = 0.75s, what is the ratio of p to r to s?
Choices:
8 : 12 : 9
24 : 6 : 8
6 : 4 : 3
12 : 8 : 3
Answer: B
Question: A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 190 kilometers?
Choices:
2.7 gallons
5.7 gallons
4.75 gallons
7.5 gallons
Answer: C
Question: In a cricket team, the average of eleven players is 28 years. Out of these, the average ages of three groups of three players each are 25 years, 28 years and 34 years respectively. If in these groups, the captain and the youngest player are not included, and the captain is eleven years older than the youngest player, what is the age of the captain ?
Choices:
34 years
35 years
36 years
29 years
Answer: D
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
8000
2776
2976
2971
Answer: A
Question: How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?
Choices:
56
58
62
63
Answer: D
Question: By how much does the larger root of the equation 2q^2+5q = 12 exceed the smaller root?
Choices:
10/3
7/2
14/3
11/2
Answer: D
Question: A basketball player succeeds with 80% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
Choices:
0.978
0.984
0.992
0.998
Answer: C
Question: What is x if x + 2y = 10 and y = 4?
Choices:
B)8
C)6
D)4
E)2
Answer: D
Question: A batsman scored 150runs which included 5 boundaries and 5 sixes. What percent of his total score did he make by running between the wickets.
Choices:
50%
60%
66.66%
70%
Answer: C
Question: If shares of two persons in profits are Rs.400 and Rs.600 then ratio of their capitals is
Choices:
2:3
4:3
1:3
1:2
Answer: A
Question: If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
Choices:
Rs.(yI/x)
Rs.(Od/x)
Rs.(yd/x)
Rs.(yd/D)
Answer: C
Question: An investor receives a total combined return of 7% on his two different investments. On his $10,000 investment he receives a return of 6%. What is the return on his $20,000 investment?
Choices:
7.5%
8%
8.5%
9%
Answer: A
Question: A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
77 kmph
54 kmph
72 kmph
88 kmph
Answer: C
Question: P is able to do a piece of work in 5 days and Q can do the same work in 10 days. If they can work together for 3 days, what is the fraction of work completed?
Choices:
4/5
11/10
7/10
9/10
Answer: D
Question: If 50 percent of X is 25 percent of Y, then what is the relation between X and Y?
Choices:
2X=Y
X=2Y
1
NONE OF ABOVE
Answer: A
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
Choices:
28
025
20
11
Answer: B
Question: A dozen bananas and 10 pounds of oranges are currently at the same price. If the price of a dozen bananas rises by 20 percent and the price of oranges rises by 4 %. How much more will it cost to buy a dozen bananas and 10 pounds of oranges.
Choices:
24%
23%
25%
29%
Answer: A
Question: What is the rate percent when the simple interest on Rs.4000 amount to Rs.640 in 2 Years?
Choices:
8%
8.5%
9%
9.5%
Answer: A
Question: If x is divisible by 20, 14, and 70, which of the following must be the least multiple of x?
Choices:
140
210
350
700
Answer: A
Question: The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm,What is the minimum length of the shortest side?
Choices:
9cm
10cm
11cm
12cm
Answer: A
Question: Let the function T(n) represent the product of the first n prime numbers, where n > 0. If x = T(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer
Choices:
iii only
i and ii only
i and iii only
ii and iii only
Answer: C
Question: A rower can row upstream at 15 kph and downstream at 35 kph. What is the speed of the rower in still water?
Choices:
23
24
25
26
Answer: C
Question: A university cafeteria offers 5 flavors of pizza - pork,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:
8
12
25
32
Answer: C
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24 kmph
23 kmph
21 kmph
25 kmph
Answer: A
Question: A certain car can travel 40 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers)
Choices:
65
78
91
104
Answer: A
Question: An area of a circularplace is 17 hectares. Find the cost of fencing it at the rate of Rs. 3 permeter approximately.
Choices:
Rs. 4450
Rs. 4457
Rs. 4560
Rs. 5457
Answer: B
Question: A 12 month project had a total budget of $18,000. After five months, the project had spent $6,400. At this point, how much was the project under budget?
Choices:
$1100
$1200
$1300
$1400
Answer: A
Question: Dana borrows 6500 pounds annually for her college education. If Dana gives her parents 3% of that amount back each month, how much will she still owe her parents after four years of college?
Choices:
16340
16440
16540
16640
Answer: D
Question: A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
Choices:
100
110
134
154
Answer: B
Question: When m is divided by 9, the remainder is 4. When m is divided by 13, the remainder is 10. If 1 < m < 200, what is the greatest possible value of m?
Choices:
65
103
117
166
Answer: D
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 24^a and y = 9^b, which of the following is a possible units digit of xy?
Choices:
6
5
7
8
Answer: A
Question: Alex has $246,713 dollars in his savings account. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among his 6 children?
Choices:
$2
$3
$4
$5
Answer: D
Question: An inspector rejects 0.008% of the meters as defective. How many will be examine to project ?
Choices:
230
2700
25000
250
Answer: C
Question: In a school of 850 boys, 44% of Muslims, 32% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
B)119
C)153
D)721
E)159
Answer: A
Question: An office supply store stocks two sizes of notebooks, each in six colors: orange, blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 4 notebooks of the same size and the same color or 4 notebooks of the same size and of 4 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
Choices:
24
32
36
42
Answer: D
Question: On the x-y coordinate plane there is a parabola, y=x(6-x). Which of the following points is in the region that is enclosed by this parabola and the x-axis?
I. (1, 1) II. (4, 4) III. (6, 6)
Choices:
II only
III only
I and II
I, II, and III
Answer: C
Question: Bradley owns b video game cartridges. If Bradley’s total is one-fifth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
Choices:
17b / 4
13b / 4
19b / 12
25b / 4
Answer: D
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
40%
50%
60%
65%
Answer: B
Question: ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠0.098 - ♠1.125 =
Choices:
-1.1
-1.05
-1.0
-0.1
Answer: A
Question: A customer pays 20 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffee maker?
Choices:
40
70
60
20
Answer: A
Question: John makes $60 a week from his job. He earns a raise and now makes $90 a week. What is the % increase?
Choices:
50%
17%
17.61%
17.56%
Answer: A
Question: How much space, in cubic units, is left vacant when maximum number of 4x4x4 cubes are fitted in a rectangular box measuring 10x12x16 ?
Choices:
36
180
216
384
Answer: D
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 30 and n is not prime, what is the greatest possible value of f(n)?
Choices:
26
20
18
15
Answer: A
Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders Q will be:[/b]
Choices:
Q=3, 4, 2
Q=5, 4, 3
Q=5, 5, 2
6, 4, 3
Answer: C
Question: One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?
Choices:
1/3
1/5
1/6
1/4
Answer: A
Question: ?⁄50 = 60.5⁄?
Choices:
55
52.5
57.5
None of these
Answer: A
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
40 years
19 years
16 years
18 years
Answer: A
Question: 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Choices:
77
30
88
12
Answer: B
Question: The average of 35 students in a class is 18 years. The average age of 25 students is 16. What is the average age of remaining 10 students?
Choices:
23 years
22 years
20 years
24 years
Answer: A
Question: What is the median from the below series 93, 88, 95, 88, 97, 87, and 98
Choices:
82
92.14
98
100
Answer: B
Question: There are 380 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
Choices:
209
57
171
220
Answer: D
Question: What is the greatest 6-digit number when divided by 7 ,8 , 9, and 10 leaves a remainder of 5, 6, 7, and 8 respectively?
Choices:
456788
997479
997919
997920
Answer: A
Question: A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed R of the train.
Choices:
b) 33
c) 48
d) 55
e) 61
Answer: B
Question: Find the average of all the numbers between 6 and 34 which are divisible by 5
Choices:
20
24
30
40
Answer: A
Question: In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at T mile/month .
One month later another ship of the greatest pirate ever CHENG I SAO was 5000 miles due south of the same Egyptian port and heading due north at Y miles/month. Six months later after the leaving of Sinbad’s ship from Egyptian port, how far apart were the ships? [Ivory coast is in the west of Egypt]
Choices:
{ (6T)^2 + (5000-5y)^2 }^1/2
{ (16x)^2 + (5000-7y)^2 }^1/2
{ (7x)^2 + (5200-7y)^2 }^1/2
{ (2x)^2 + (300-7y)^2 }^1/2
Answer: A
Question: After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 80% full. If the original contents of the reservoir totaled 200 billion gallons, the reservoir was approximately what percentage full before the storm?
Choices:
48%
50%
58%
65%
Answer: B
Question: A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?
Choices:
2
6
3
4
Answer: A
Question: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Choices:
36 Yrs
40 Yrs
48 Yrs
None
Answer: B
Question: By selling 15 pens for a rupee a woman loses 25%. How many for a rupee should he sell in order to gain 25%?
Choices:
14
45
10
65
Answer: C
Question: James started from his house headed North. After walking a distance of 50 m. He turned to the left and walked 60 m. He then made a right turn and walked 30 m. After this he is to turn left at 90o degrees and to cover another 40 m. How many meters did James walk in total and what direction was he headed in when he left his house?
Choices:
10/East
South-West
180/North
180/North-West
Answer: D
Question: By selling an article for 96, double profit is obtained than the profit that would have been obtained by selling it for 84. What is the cost price of the article?
Choices:
72.0
70.00
68.00
None of these
Answer: A
Question: What is the area of square field whose side of length 13 m?
Choices:
169
266
288
261
Answer: A
Question: If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?
Choices:
90%
60%
50%
65%
Answer: B
Question: A circular rim A having a diameter of 24 inches is rotating at the rate of x inches/min. Another circular rim B with a diameter of 32 inches is rotating at the rate of y inches/min. What is the value of y in terms of x, if both the rims reach their starting positions at the same time after every rotation.
Choices:
3x/4
7x/5
5x/7
4x/3
Answer: A
Question: An employer has 7 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Choices:
b) 132
c) 210
d) 60
e) 23
Answer: B
Question: If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is less than 5?
Choices:
2/45
2/15
4/15
1/5
Answer: A
Question: If each edge of cube increased by 25%, the percentage increase in
Choices:
52.25
59.75
51.75
56.25
Answer: D
Question: A circular rim 20 inches in diameter rotates the same number of inches per second as a circular rim 15 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
75x
48x
80x
x/75
Answer: C
Question: 36 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
12
13
18
19
Answer: A
Question: A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
Choices:
8 days
5 days
9 days
4 days
Answer: C
Question: M is a certain set of numbers with an average (arithmetic mean) of 10 and a standard deviation of 0.5. Q is a subset of M consisting of 5 terms. Exactly 80% of the numbers in Q are located within 2 standard deviations from the average of M. Which of the following could Q be?
Choices:
{3, 9, 10, 10, 11}
{3, 5, 9, 10, 16}
{1, 5, 7, 10, 11}
{5, 6, 7, 10, 12}
Answer: A
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
Choices:
30
35
40
50
Answer: C
Question: Express a speed of 36 kmph in meters per second?
Choices:
10 mps
26 mps
97 mps
16 mps
Answer: A
Question: The sum of two number is 120 and their difference is 30. Find the numbers.
Choices:
55,65
75,45
65,55
85,35
Answer: B
Question: Eight years ago Anita was P times as old as Ben was. If Anita is now 27 years old, how old is Ben now in terms of P ?
Choices:
19/P + 8
17 - P/8
17/P
11.5P
Answer: A
Question: There are three prizes to be distributed among seven students. If no students gets more than one prize, then this can be done in?
Choices:
45
35
20
None of these
Answer: B
Question: A CHOCOLATE manufacturer produces 400 units of a certain model each month at a cost to the manufacturer of £40 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £40,000?
Choices:
213
440
550
540
Answer: B
Question: What smallest number should be added to 4456 so that the sum is completely divisible by 6 ?
Choices:
5
2
3
8
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
178
124
121
Answer: A
Question: One hour after Matthew started waking from t to y, a distance of 45km, Johnny started walking along the same road from y to t. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
Choices:
24
22
21
19.5
Answer: A
Question: In an election, 68% of the voters exercised their franchise. Of these, 48% were women. The number of males exercising their franchise was 53,040. How many eligible voters were there in all?
Choices:
150,000
234,000
252,000
288,000
Answer: A
Question: The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day Rs. 1,325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers?
Choices:
Rs. 1000
Rs. 850
Rs. 1250
None of these
Answer: C
Question: If rupee one produces rupees nine over a period of 30 years, find the rate of simple interest?
Choices:
30 %
22 1/8 %
22 1/2 %
22 1/2 %
Answer: A
Question: In a college the ratio of the numbers of boys to the girls is 8:5. If there are 135 girls, the total number of students in the college is?
Choices:
351
452
416
512
Answer: A
Question: The average height of 15 girls out of a class of 60 is 138 cm. and that of the remaining girls is 142 cm. The average height of the whole class is :
Choices:
141 cms
142 cms
152 cms
161 cms
Answer: A
Question: Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
12
15
20
18
Answer: A
Question: The probability that a man will be alive for 10more yrs is 1/3 & the probability that his wife will alive for 10 more yrs is 5/8. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/4
2/3
3/4
2
Answer: A
Question: The distance from City A to City B is 100 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Choices:
48
50
52
54
Answer: B
Question: The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
27 cm2
45 cm2
25 cm2
35 cm2
Answer: B
Question: If a class of 10 students has seven men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
Choices:
7!6!
4!4!
10!
10!/5!
Answer: A
Question: The area of a parallelogram is 162sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
7
62
2
Answer: A
Question: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 135 mangoes.
Choices:
380
400
450
412
Answer: C
Question: A train running at the speed of 45 km/hr crosses a pole in 16 seconds. Find the length of the train.
Choices:
200
204
288
500
Answer: A
Question: If (a-5)(b+2) = 0 which of the following must be true?
Choices:
a > b
a < b
ab = -10
None of the above
Answer: D
Question: The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?
Choices:
70
60
80
55
Answer: A
Question: If r = 199,999 and s = 991,999, which of the following is the units digit of r^3 + s^3?
Choices:
1
2
8
9
Answer: C
Question: Two cars A and B start from Boston and New York respectively simultaneously and travel towards each other at constant speeds along the same route. After meeting at a point between Boston and New York the two cars A and B proceed to their respective destinations of New York and Boston. Car A reaches New York 10 minutes after the two cars have met and Car B reaches Boston 90 minutes after they have met. How long did Car A take to cover the distance between Boston and New York?
Choices:
1 hour 10 minutes
2 hours 30 minutes
50 minutes
2 hours 10 minutes
Answer: C
Question: 10^185 - 10^30 =
Which of the following best approximates the value of the expression above?
Choices:
10^179
10^170
10^160
10^185
Answer: D
Question: A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement. Find the probability that both toys will show even numbers.
Choices:
9/42
6/22
4/21
3/21
Answer: A
Question: A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 25%?
Choices:
9
6
3
5
Answer: A
Question: A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
40
50
60
65
Answer: B
Question: What least fraction should be added to
1/(2 × 3) + 1/(3 × 4) + 1/(4 × 5) + ....... + 1/(21 × 22)
so that the result is unity?
Choices:
6/11
4/11
7/11
8/11
Answer: A
Question: In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability Q that the worker is under 25 years old?
Choices:
0.25
0.45
0.70
0.90
Answer: C
Question: How many 4-digit numbers can be formed by using the digits 0-9, so that the numbers contains exactly 3 distinct digits?
Choices:
3240
3850
3888
4216
Answer: C
Question: If the sides of a triangle are 31 cm, 29 cm and 15 cm, what is its area?
Choices:
258 cm2
225.50 cm2
222.25 cm2
217.5 cm2
Answer: D
Question: A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Choices:
Rs. 70
Rs. 72
Rs. 88.25
None of these
Answer: B
Question: Employees of a certain company are each to receive a unique 9-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, 7, and 8 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
Choices:
16,240
18,320
20,160
22,480
Answer: C
Question: The food in a camp lasts for 40 men for 20 days. If 10 more men join, how many days will the food last?
Choices:
30 days
23 days
16 days
17 days
Answer: C
Question: If A's height is 25% less than that of B, how much percent B's height is more than that of A?
Choices:
66.68%
66.766%
33.33%
66.65%
Answer: C
Question: The radius of a cylinder is 10 m, height 14 m. The volume of the cylinder is:
Choices:
5500
3300
1100
4400
Answer: D
Question: A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money T did Bob receive?
Choices:
22
24
26
52
Answer: A
Question: A certain car dealership offers its newest model in ten exterior and ten interior colors. If the eight interior colors are identical to the eight exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Choices:
72
90
10!/2!
10!
Answer: A
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
Choices:
19
12
28
32
Answer: B
Question: The jogging track in a sports complex is 726 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Choices:
5.28 min
5.08 min
9.28 min
5.988 min
Answer: A
Question: What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point on the line y = 3/4*x - 3?
Choices:
1.4
1.7
sqrt (3)
2.0
Answer: A
Question: If a is a positive integer, and if the units digit of a^2 is 4 and the units digit of (a+1)^2 is 1, what is the units digit of (a+2)^2?
Choices:
0
4
6
8
Answer: A
Question: A drawer has six loose blue socks and six loose white socks. If four socks are removed from the drawer at random and without replacement. What is the probability that one pair of each color was selected?
Choices:
5/66
5/33
5/11
1/2
Answer: C
Question: The sum of the squares of three numbers is 241, while the sum of their products taken two at a time is 100. Their sum is:
Choices:
11
21
41
None of these
Answer: B
Question: The average of ten numbers is 8. If each number is multiplied by 11, then what is the average of the new set of numbers?
Choices:
11
19
88
121
Answer: C
Question: What percentage of numbers from 1 to 100 have cube that end in the digit 5?
Choices:
10.5
25
20
22
Answer: A
Question: Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and U. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of U if J is negative?
Choices:
U=0
1
2
5
Answer: A
Question: If X, Y and Z are digits and 7XYZ is a 4-digit number that is divisible by 2, which of the following is a possible product of X, Y and Z?
Choices:
42
13
27
51
Answer: A
Question: A sales executive gets 20% bonus of the total sales value and 10% commission besides the bonus on the net profit after charging such commission. If the total sales value be Rs. 10 lakh per annum and the total profit of the company be Rs. 1.32 lakh, then his total earning per annum will be, given that he is not entitled to receive any fixed salary from the company :
Choices:
2.32 lakh
2.12 lakh
3.2 lakh
None of these
Answer: B
Question: If a Ã— b = 2a - 3b + ab, then 3 Ã— 2 + 2 Ã— 3 is equal to :
Choices:
7
9
25
26
Answer: A
Question: A sum of money deposited at compound interest (compounded yearly) amounts to $600 in 2 years and to $624 in 3 years. What is the interest rate?
Choices:
4%
6%
7%
8%
Answer: A
Question: In expressing a length 810472 km as nearly as possible with three significant digits , find the percentage error
Choices:
0.034%
0.0034%
0.00034%
3.4%
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 60 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?
Choices:
16 sec
12 sec
67 sec
13 sec
Answer: B
Question: If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Choices:
33 8/3%
33 1/3%
37 1/3%
33 1/4%
Answer: B
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
2667
2799
6725
2771
Answer: C
Question: 6x − 12 = 6y
5y + 5x = 10
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly three
Exactly two
Exactly four
None of these
Answer: D
Question: In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 28% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
Choices:
64.75%
68.57%
70.20%
none of these
Answer: C
Question: A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 5 per metre of cloth. What is the cost price of one metre of cloth?
Choices:
28
90
100
11
Answer: C
Question: 54671 - 10456 - 33466 = ?
Choices:
10449
10749
10449
6468
Answer: B
Question: If |4x+6| = 42, what is the sum of all the possible values of x?
Choices:
-3
4
-5
6
Answer: A
Question: Find the value of m 62519 x 9999 = m?
Choices:
625127481
545463251
725117481
677899932
Answer: A
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Choices:
2
8
9
3
Answer: A
Question: Rohit was 4 times as old as his son 8 years ago. After 8 years, Rohit will be twice as old as his son. What are their present ages?
Choices:
16 and 40 years
10 and 34 years
11 and 35 years
20 and 44 years
Answer: A
Question: Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Qâ€™s amount. At the end of the year 10% profit was earned which was equal to 98,000. What was the amount invested by R?
Choices:
2,10,000
1,75,000
2,00,000
None of these
Answer: A
Question: A box has 210 coins of denominations one-rupee and fifty paise only. The ratio of their respective values is 13:11. The number of one-rupee coin is
Choices:
66
77
78
NOne
Answer: C
Question: Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 18 miles, how many miles was Mike's ride?
Choices:
34
38
42
48
Answer: B
Question: How many polynomials are there of the form x3rd - 8x2round + cx + d such
that c and d are real numbers and the three roots of the polynomial are
distinct positive integers?
Choices:
1
1
2
5
Answer: B
Question: 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 $1,051. How much did she invest at 5%?
Choices:
$600
$700
$900
$950
Answer: C
Question: 2, 1, (1/2), (1/4), ?
Choices:
(1/8)
(2/8)
(1/16)
(3/16)
Answer: A
Question: If x = (y)(y + 1) and y is a prime number less than 6, which of the following could not be the product of 2 consecutive integers?
Choices:
b) 11x
c) 13x
d) 30x
e) 58x
Answer: D
Question: Find for what value(s) of k would there be an unique solution for the given set of questions.
2x - 3y = 1 and kx + 5y = 7
Choices:
-10/3
-10/0
-10/1
-10/2
Answer: A
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
17
12
19
12
Answer: B
Question: A family consists of two grandparents, two parents, and four grandchildren. The average age of the grandparents is 66 years, the average age of the parents is 40 years, and the average age of the grandchildren is 11 years. What is the average age (in years) of the family?
Choices:
28
30
32
34
Answer: C
Question: Shanmukham buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods
Choices:
6876.1
6654
7000
None of these
Answer: A
Question: A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Choices:
Rs. 7.98
Rs. 8.50
Rs. 9
Rs. 9.50
Answer: A
Question: Sum of the squares of three numbers is 129 and the sum of their products taken two at a time is 250. Find the sum?
Choices:
23
25
26
29
Answer: A
Question: Nitin borrowed 8000 at the rate of 6% p.a. for the first three years, 8% p.a.for the next five years and 12% p.a.for the period beyond eight years. At the end of eleven years how much money did he give as interest?
Choices:
10,000
5,000
7,520
None of these
Answer: C
Question: In a group of 90 students, 36 are taking History, and 30 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?
Choices:
19
23
27
29
Answer: D
Question: If k and y are integers, and 10k + y is odd , which of the following must be true?
Choices:
k is even
y is odd integer
y is even
both k and y are odd
Answer: B
Question: Which of the following is equal to (y+1)!/y!?
Choices:
1+(1/y)
1
y+1
y
Answer: C
Question: A tiger is 50 of its own leaps behind a deer. The tiger takes 5 leaps per minutes to deer’s 4. If the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it catches the deer ?
Choices:
700m
800m
1000m
1200m
Answer: B
Question: A number is doubled and 9 is added. If resultant is trebled, it becomes 75. What is that number
Choices:
8
12
14
15
Answer: A
Question: An event manager has ten patterns of chairs and eight patterns of tables.In how many ways can he make a pair of table and chair?
Choices:
60
100
80
90
Answer: C
Question: If there are 4 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
Choices:
32
56
44
40
Answer: A
Question: Two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km/hr and 36 km/hr. The time of crossing each other, if they run in the opposite direction is
Choices:
14 sec
11sec
13 sec
34 sec
Answer: A
Question: James can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
Choices:
1 hour and 30 minutes.
1 hour
1 hour and 40 minutes.
2 hours and 15 minutes
Answer: A
Question: The mean proportional between 234 and 104 is
Choices:
39
54
156
None
Answer: C
Question: How many positive integers will divide evenly into 560?
Choices:
12
16
18
20
Answer: D
Question: George takes 30 days to do a piece of work and Mark takes 45 days for the same work. For the first 15 days only George works. Then Mark also joins him. Find the time taken to complete the entire work.
Choices:
24 days
26 days
27 days
28 days
Answer: A
Question: What is the probability of rolling a total of 5 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
Choices:
1/6
2/7
1/3
1/9
Answer: D
Question: The number of meters in WB is equal to the square root of the number of centimeters in WB. What is the length of WB (1 meter=100 centimeters)?
Choices:
100 meters
100 centimeters
10 centimeter
1 centimeter
Answer: A
Question: (17)3.75 x (17)? = 178
Choices:
2.75
4.25
4.5
None of these
Answer: B
Question: There are 10 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
Choices:
16
28
56
90
Answer: D
Question: Four of the following five are alike in a certain way and hence form a group. Which one does not belong to the group?
Choices:
70
52
48
68
Answer: A
Question: A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 26 years now, the son's age five years back was?
Choices:
8 years
18 years
19 years
15 years
Answer: A
Question: a certain no. of men can finish a piece f work in 10 days.If however there were 10 men less it will take 10 days more for the work to be finished.How many men were there originally
Choices:
110
120
130
none of these
Answer: D
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Choices:
5/12
5/16
5/10
5/13
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
288
271
212
Answer: A
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost E is what percent of the original cost?
Choices:
E=600
E=800
E=1600
50
Answer: C
Question: Let the number which when multiplied by 16 is increased by 375.
Choices:
20
26
25
30
Answer: C
Question: How many two-element subsets of <1, 2,3,4,5,6,7> are there that do not contain the pair of elements 2 and 4?
Choices:
12
14
15
20
Answer: D
Question: If E=x^4 + y^4 = 100, then the greatest possible value of x is between
Choices:
3 and 6
6 and 9
9 and 12
12 and 15
Answer: A
Question: What should come in place of the question mark (?) in the following number series?
3 7 19 55 163 ?
Choices:
487
475
485
None of these
Answer: A
Question: If the number 517*324 is completely divisible by 9, then the smallest whole number in the place of * will be:
Choices:
1
5
4
2
Answer: B
Question: Rahul's Mathematics test had 70 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 60% problems right. How many more questions he would have to answer more to get
passed
Choices:
6
2
8
9
Answer: B
Question: The manager of a theater noted that for every 10 admissions tickets sold, the theater sells 3 bags of popcorn at 2.25 $ each, 4 sodas at 1.70 $ each and 2 candy bars at 1.00$ each. To the nearest cent, what is the average (arithmetic mean) amount of these snacks sales per ticket sold?
Choices:
1.56$
1.60$
1.64$
1.70$
Answer: A
Question: If x+y=20, x-y=36, for integers of x and y, x=?
Choices:
25
28
20
42
Answer: B
Question: When the number 72y6139 is exactly divisible by 11, then the smallest whole number that can replace y is?
Choices:
3
5
6
9
Answer: C
Question: List F consists of 12 consecutive integers. If -4 is the least integer in list F, what is the range of positive integers in list F?
Choices:
6
7
11
12
Answer: A
Question: A car covers a distance of 624 km in 8 hours. Find its speed?
Choices:
78
298
269
213
Answer: A