antoine-444/aqua_rat_dataset huggingface dataset:
Question: Tanks X and Y contain 500 and 200 gallons of water respectively. If water is being pumped out of tank X at a rate of K gallons per minute and water is being added to tank Y at a rate of M gallons per minute, how many hours will elapse before the two tanks contain equal amounts of water?
Choices:
6(M+K) hours
300/M+K hours
300/M−K hours
60/M−K hours
Answer: B
Question: In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Choices:
720
760
790
800
Answer: A
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Choices:
0.5904
0.5929
0.5928
0.594
Answer: A
Question: 2x + y = 13
|y| <= 13
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
Choices:
10
12
13
14
Answer: D
Question: Find the cost of fencing around a circular field of diameter 12 m at the rate of Rs.3.50 a meter?
Choices:
131.95
140.33
123.4
190.4
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 242. How many even nine-digit numbers are palindromes?
Choices:
40000
500
5,000
100,000
Answer: A
Question: The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
1024
2048
128
Answer: D
Question: The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Choices:
4
9
3
5
Answer: A
Question: A 270 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?
Choices:
230
250
300
500
Answer: A
Question: What is the total number of integers between 20 and 100 that are divisible by 9?
Choices:
15
12
7
9
Answer: D
Question: In shop there are 10 bulbs, a total of 4 are defective. If a customer buys 4 bulbs selected at random from the box, what is the probability that neither bulbs will be defective?
Choices:
3/29
4/15
1/15
1/2
Answer: C
Question: A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $556, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
Choices:
$290
$365
$715
$730
Answer: A
Question: The population of a town is 216400. If it increase at the rate of 4% per annum. What will be its population for 3years hence?
Choices:
243420
194582
194481
215460
Answer: A
Question: If u and v are positive integers, and 3 is not a factor of v, then v may be which of the following?
Choices:
(u−3)·(u−1)·(u+1)
(u−2)·u·(u+2)
(u−1)·u·(u+2)
(u−3)·(u+1)·(u+2)
Answer: C
Question: In how many different ways can 2 identical blue balls and 2 identical red balls be shared among 4 children such that each child receives a ball?
Choices:
24
34
20
21
Answer: A
Question: If x^2 + y^2 = 20 and xy = 3, then (x − y)^2 =
Choices:
11
14
17
20
Answer: B
Question: If k, l, and m are distinct positive prime numbers, then (k^3)(l)(m) has how many different positive factors greater than 1?
Choices:
b. 9
c. 12
d. 10
e. 27
Answer: C
Question: A man can row a boat at 18 kmph in still water. If the speed of the stream is 12 kmph, what is the time taken to row a distance of 90 km downstream?
Choices:
4 hours
3 hours
5 hours
6 hours
Answer: B
Question: Ayisha's age is 1/6th of her father's age. Ayisha's father's age will be twice Shankar's age after 10 years. If Shankar's eight birthdays was celebrated two years before, then what is Ayisha's present age.
Choices:
5
7
9
4
Answer: A
Question: 3 years ago, the average age of P and Q was 20years. With R joining them, theiraverage age becomes 23years. What is the age of R?
Choices:
20 years
21years
23 years
30 years
Answer: C
Question: For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <2>*<3>?
Choices:
210
212
263
478
Answer: A
Question: Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.173 per kg, the price of the third variety per kg will be
Choices:
Rs.1700
Rs. 195.50
Rs. 180
None
Answer: B
Question: A man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. Find the speed of the stream?
Choices:
5
7
8
3
Answer: D
Question: A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 10 hour to row to a place and come back, how far is the place?
Choices:
30km
48km
12km
48km
Answer: D
Question: If f(x) = k(x - k) and k is a constant, what is the value of f(6) - f(2), in terms of k?
Choices:
4k
7k - 1
k^2 + k
k^2 - k
Answer: A
Question: Insert the missing number.
2, 6, 12, 20, 30, 42, 56, (....)
Choices:
38
72
66
19
Answer: B
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 5 days ?
Choices:
1/16
9/10
15/16
31/32
Answer: D
Question: In the junior basketball league there are 15 teams, 2/3 of them are bad and ½ are rich. What can't be the number of teams that are rich and bad?
Choices:
6.
7.
9.
5.
Answer: C
Question: How much tea worth $0.93 per pound must be mixed with tea worth $0.75 per pound to produce 10 pounds worth $0.85 per pound?
Choices:
3 1⁄2
4 4⁄9
5 5⁄9
9 1⁄2
Answer: C
Question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. You have to find out the part that is not equal to the other four. The number of that part is the answer.
Choices:
93.27 – 167.20 + 439.60
490.92 + 439.65 – 64.9
(7189.3 – 2860.93) + 5
2(269.40 + 163.435)
Answer: C
Question: The angles of a triangle are in the ratio 4:6:8. Find the measurement of the largest of three angles of triangle.
Choices:
80°
120°
140°
160°
Answer: A
Question: In store B there are 10 pairs of pants for every 40 store A has. The price ratio between the pants in store A and the pants in store B is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores B earned to the total amount store A earned?
Choices:
3:1.
1:3.
3:4.
2:5.
Answer: A
Question: Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.19 per cubic meter?
Choices:
1881
2890
1485
2780
Answer: A
Question: Man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 11 1/2. The rate of interest obtained is:
Choices:
15%
20%
25%
38.33%
Answer: D
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Choices:
Rs.4082.49
Rs.4082.48
Rs.4082.40
Rs.4082.13
Answer: C
Question: Series F(n) is such that i*F(i) = j*F(j) for any pair of positive integers (i, j). If F(1) is a positive integer, which of the following is possible?
I. 2*F(100) = F(99) + F(98)
II. F(1) is the only integer in the series
III. The series does not contain negative numbers
Choices:
II only
IIII only
IIIII only
I, IIIII
Answer: C
Question: For all numbers l and m, the operation @ is defined by l@m = l^2 - lm. If xy ≠ 0, then which of the following can be equal to zero?
I. x@y
II. (xy)@y
III. x@(x + y)
Choices:
I and II
I and III
II and III
All of the above
Answer: A
Question: An investment with the Brown company yields 10% compounded annually over 2 years, while an investment with Green Crop. yields 20% annually over the same period. If Fernando invests a given amount in Green Corp, by what percent should Rita's initial investment exceed Fernando's, if she wants to invest in Brown but match the final value of his investment?
Choices:
17
18
19
20
Answer: C
Question: A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 12 minutes less than they can row it in still water. How long would they take to row down with the stream
Choices:
63 or 12 minutes
72 minutes
19 minutes
25 minutes
Answer: B
Question: Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Choices:
30 minutes
43 minutes
23 minutes
33 minutes
Answer: A
Question: If 8 spiders make 4 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
Choices:
20
12
16
18
Answer: D
Question: Eight participants are participating in a competition. In how many ways can the first three prizes be won?
Choices:
680
820
336
620
Answer: C
Question: The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
Choices:
37.5%
30.2%
37.7%
33.2%
Answer: A
Question: An bus covers a certain distance at a speed of 220 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Choices:
660 km/hr
730 km/hr
750 km/hr
760 km/hr
Answer: A
Question: A person travelled from his house to office at 30km/hr and office to house at 10km/hr. Then find the average speed?
Choices:
15km/hr
32km/hr
24km/hr
25km/hr
Answer: A
Question: Which of the following is not a leap year ?
Choices:
700
900
1000
1200
Answer: A
Question: The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by3 months. Find the age of the teacher.
Choices:
23
25
21
22
Answer: B
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 5 minutes 20 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
50%
8%
10%
12%
Answer: A
Question: In a 1 km race, A beats B by 28 meters in 7sec. Find A's time over the course?
Choices:
4min,3sec
4min,7sec
3min,3sec
5min,3sec
Answer: A
Question: If Rs.480 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Choices:
s.595
s.590
s.570
s.585
Answer: C
Question: 42 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
28
36
25
13
Answer: A
Question: If 25% of x is 15 less than 15% of 1500, then x is?
Choices:
738
837
840
83
Answer: C
Question: A can complete a work in 12days and B can do the same work in 8days. If A after doing 2days, leaves the work, find in how many days B will do the remaining work?
Choices:
4 1/2days
6 1/2 days
7 3/4days
10days
Answer: B
Question: Mangala completes a piece of work in 15 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is?
Choices:
10 days
14 days
16 days
18 days
Answer: A
Question: If the simple interest on a sum of money at fifteen percent per annum for four years is Rs.9000, compound interest on the same sum for the same period at the same rate of interest is
Choices:
12,010.50
12,250.00
10,012.50
13,626.50
Answer: C
Question: A total of 22 men and 30 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choices:
31.5
32.8
32.5
33
Answer: B
Question: A school having four classes only have student strength of 10, 20, 30 and 40 respectively. The pass percentages of these classes are 80%, 30%, 60% and 90% respectively. What is the pass percentage for the entire school?
Choices:
76%
34%
68%
46%
Answer: C
Question: How many two cent stamps are there in a dozen?
Choices:
11
25
12
19
Answer: C
Question: Walking at the rate of 4kmph a man cover certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.
Choices:
25 min
40 min
48 min
52 min
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Choices:
150
300
258
191
Answer: B
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
B)270m
C)180m
D)158m
E)350m
Answer: A
Question: There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability A that all three secretary are assigned at least one report?
Choices:
64/81
4/9
16/81
5/9
Answer: B
Question: A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?
Choices:
10
16
50
23
Answer: A
Question: Nilesh sold an item for Rs.6400/- and incurred a loss of 20%. At what price should he have sold the item to have gained a profit of 20%?
Choices:
Rs.9600
Rs.8750
Rs.8760
None of these
Answer: A
Question: Which expression is the greatest
Choices:
3852/3857
3591/3596
3346/3351
3453/3458
Answer: A
Question: The least number which when increased by 3 each divisible by each one of 24, 32, 36 and 54 is :
Choices:
859
869
861
None of these
Answer: C
Question: The average of 8 numbers is 21. If each of the number is multiplied by 8, the average of the new set of numbers is :
Choices:
168
288
1991
111
Answer: A
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,814,477 minutes earlier? (Assume standard time in one location.)
Choices:
6:35
6:33
6:30
6:27
Answer: C
Question: The sum of 3 hours 45 minutes and 1 hours 55 minutes is approximately what percent of a day?
Choices:
22%
23%
24%
25%
Answer: C
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. 60 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.2 years and the standard deviation is 2.8 years, what percent of the distribution has more than 10.0 years as a shelf’s average life?
Choices:
12%
14%
15%
17%
Answer: C
Question: If x represents the sum of the interior angles of a regular hexagon and y represents the sum of the interior angles of a triangle, then the difference between x and y is equal to the sum of the interior angles of what geometric shape?
Choices:
Square
Rhombus
Trapezoid
Pentagon
Answer: D
Question: Given that a “16-inch pizza” means circular pizza with a diameter of 12 inches, changing from an 8-inch pizza to a 16-inch pizza gives you approximately what percent increase in the total amount of pizza?
Choices:
50
67
180
300
Answer: D
Question: What is the sum of the integers from -185 to 195 inclusive?
Choices:
5
375
1905
965
Answer: C
Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
Choices:
500
600
300
250
Answer: A
Question: At a contest with 500 participants, 1/2 of the people are aged 28 to 32. Next year, the number of people aged 28 to 32 will increase by 1/8. After this change, what percentage of the total 500 people will the 28- to 32-year-olds represent?
Choices:
40.25%
50.25%
55.25%
56.25%
Answer: D
Question: If t and y are both odd prime numbers and t < y, how many distinct positive integer factors does 2ty have?
Choices:
4
6
8
12
Answer: C
Question: Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 16 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Choices:
6
7
7.8
9
Answer: B
Question: Which of the following equations has a solution in common with x^2 - 6x + 9 = 0?
Choices:
3x^2 + 10x + 3 = 0
x^2 + 2x - 3 = 0
3x^2 + 17x - 6 = 0
none of the above
Answer: D
Question: In how many ways Chief Minister and Minister be elected from a team of 8 members?
Choices:
29
32
56
65
Answer: C
Question: If -1 < h < 5, which of the following has the greatest value?
Choices:
b) 1+h
c) 1+h^2
d) 1-1/h
e) 1-1/(h^2)
Answer: D
Question: How many words can be formed by using all letters of the word ‘DOHA’ ?
Choices:
42
24
21
120
Answer: B
Question: Find the odd man out
32, 34, 42, 46, 58, 59, 60, 66
Choices:
41
67
59
61
Answer: C
Question: 40% of a number is added to 60, the result is the same number. Find the number?
Choices:
288
270
100
281
Answer: C
Question: If a2 + b2 + c2 = 560 and ab + bc + ca =8, then a + b + c is
Choices:
52
16
24
64
Answer: C
Question: A can do a piece of work in 40 days; B can do the same in 20 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
65 days
86 days
40 days
17 days
Answer: C
Question: The ratio of the earnings of P and Q is 9:10. If the earnings of P increases by one-fourth and the earnings of Q decreases by one-fourth, then find the new ratio of their earnings?
Choices:
3/2
3/5
9/4
3/1
Answer: A
Question: X and Y are both integers. If X/Y = 50.60, then what is the sum of all the possible two digit remainders of X/Y?
Choices:
315
672
900
1024
Answer: A
Question: 1/2+[(2/11*11/32)+1]-9/16=
Choices:
19/16
15/16
9/13
0
Answer: D
Question: A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 850 in 4 years. The sum is?
Choices:
s. 750
s. 650
s. 730
s. 735
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 59?
Choices:
920
7290
6928
4012
Answer: D
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7560 km and comes back to the starting point. The total time taken by him is:
Choices:
900 hours
915 hours
905 hours
960 hours
Answer: D
Question: Solve the following quadratic equation by factoring.
U2-5U-14=0
Choices:
-2,-7
1,8
1,-8
2,6
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50 km/hr
60 km/hr
98 km/hr
76
Answer: A
Question: Moli buys 3 ribbons,7 clips and 1 soap for Rs.120 exactly. At the same place it would cost Rs.164 for 4 ribbons, 10 clips and one soap. How much would it cost for one ribbon, one clip and one soap ?
Choices:
34
38
32
31
Answer: C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is
Choices:
17/21
17/22
17/20
17/34
Answer: C
Question: three friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $650. If one of the friends had a coupon for 35% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
$141
$145
$137
$135
Answer: A
Question: When John can do a work in 15 days and Marry in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is?
Choices:
3/25
8/15
9/15
None
Answer: B
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
19
90
17
91
Answer: B
Question: The edges of three metal cubes are 1 cm, 3 cm, and 4 cm respectively. A new cube is made by melting these three cubes together. What is the edge of the new cube (in centimeters)?
Choices:
4.2
4.5
4.8
5.1
Answer: B
Question: The average of 10 numbers is 23. If each number is increased by 5, what will the new average be?
Choices:
28
72
29
22
Answer: A
Question: From the given integer n, if n*n*n is odd, then which is true from below options?
Choices:
n is odd and n*n is even
n*n is even
n is even
n*n is odd
Answer: A
Question: In a room there are 9 people. Each person shook hands with every other person. How many hand shakes were there?
Choices:
36
44
48
52
Answer: A
Question: In order to complete a reading assignment on time, Terry planned to read 60 pages per day. However, she read only 30 pages per day at first, leaving 480 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?
Choices:
10
6
12
14
Answer: A
Question: If m is a positive integer and m^2 is divisible by 54, then the largest positive integer that must divide m is?
Choices:
6
18
12
16
Answer: B
Question: Today is Monday. After 37 days, it will be:
Choices:
Saturday
Friday
Thursday
Wednesday
Answer: D
Question: In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 4, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
Choices:
1200
1500
1600
3000
Answer: D
Question: A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
289
350
882
400
Answer: D
Question: A and B invests Rs.10000 each, A investing for 6 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.24000, find their shares?
Choices:
8000, 16000
7290,3000
15000,4000
72821,5000
Answer: A
Question: If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is
Choices:
4/29
4/22
4/13
4/17
Answer: C
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
50 %
45(5/11) %
44(5/11) %
None of these
Answer: A
Question: The wheel of a car A is having a diameter of 40 inches is rotating at the rate of x inches/minute. The wheel of another car B is having a diameter of 20 inches and is rotating at the rate of y inches/minute. What is the value of x in terms of y if both the rims reach their starting positions at the same time after every rotation?
Choices:
2y
6y
3y
1y
Answer: A
Question: In a game of eight players lasting for 70 minutes, six substitutes alternate with each player. This means that all players, including the substitutes, are on the pitch for the same length of time. For how long?
Choices:
46 minutes
39 minutes
40 minutes
30 minutes
Answer: C
Question: If the Average (mean ) of 3 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Choices:
3x
5x/3
3x/2
3x/5
Answer: A
Question: The effective annual rate of interest corresponding to a nominal rate of 16% per annum payable half-yearly is?
Choices:
16.64%
16.08%
16.09%
16.19%
Answer: A
Question: A monkey ascends a greased pole 17 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ?
Choices:
31st
23rd
24th
None of these
Answer: A
Question: A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 22 gallons of gasoline?
Choices:
284.6
300
268
312
Answer: C
Question: The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
Choices:
Rs.125
Rs.640
Rs.220
Rs.300
Answer: B
Question: If Aaron is now twice as old as Bailey was 20 years ago, and B is Bailey's current age in years, which of the following represents the sum of Aaron and Bailey's ages 4 years from now?
Choices:
3B-22
4B-22
4B-24
4B-25
Answer: A
Question: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Choices:
600 ways
345 ways
876 ways
415 ways
Answer: A
Question: Two persons starting from the same place walk at a rate of 0.5kmph and 5.5kmph respectively. What time will they take to be 75km apart, if they walk in the same direction?
Choices:
22 hrs
25 hrs
12 hrs
15 hrs
Answer: D
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
277
500
2887
212
Answer: B
Question: 28,14,15,22.5,24.5,61.25,64.25,?
Choices:
224.875
244.875
254.875
264.875
Answer: A
Question: If 12 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Choices:
42
43
66
45
Answer: C
Question: For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
Choices:
3 : 4
2 : 5
3 : 7
4 : 9
Answer: A
Question: Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 3?
Choices:
y = 1/2*x - 3
y = 1/2*x + 3
y = 2x + 3
y = 2x − 3
Answer: A
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 45. He was allowed to drop his lowest score. After doing so, his average test score improved to 50. What is the lowest test score that was dropped?
Choices:
30
55
65
80
Answer: A
Question: Joe has a total of $200 in his two pockets. He takes one fourth of the
money in his left pocket and puts it in his right pocket. He then takes
$20 from his left pocket and puts it in his right pocket. If he now has
an equal amount of money in each pocket, then how much money did he
originally have in his left pocket?
Choices:
$130
$140
$150
$160
Answer: D
Question: In a 3 x 3 grid, comprising 9 tiles can be painted in red or blue. When tile is rotated by 180 degrees, there is no difference which can be spotted. How many such possibilities are there?
Choices:
32
771
99
77
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50
99
77
51
Answer: A
Question: A store owner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$14,755
$16,000
$16,225
$17,155
Answer: A
Question: How many pages the book have, if total 294 digits are used to form the page numbers?
Choices:
134 pages
137 pages
138 pages
139 pages
Answer: A
Question: Lilly has 10 fish and Rosy has 9 fish. In total, how many fish do they have in all?
Choices:
17
18
19
20
Answer: C
Question: The average (arithmetic mean) of four numbers is 7x + 6. If one of the numbers is x, what is the average of the other three numbers?
Choices:
9x + 8
5x + 1
5x + 4
15x + 12
Answer: A
Question: If n is an integer and 5^n > 4,000,000, what is the least possible value of n?
Choices:
8
9
10
11
Answer: C
Question: If two sides of a triangle have lengths 6 and 10, which of the following could be the perimeter of the triangle?
I. 10
II. 15
III. 25
Choices:
II only
II and III only
I, II, and III
none
Answer: D
Question: x and y are positive integers. If xy + 2x is odd, then which of the following must be even?
Choices:
y +2
x + y
xy − x
x^2 − y
Answer: A
Question: Two trains each 475 m long are running in opposite directions on parallel tracks. Their speeds are 55 km/hr and 40 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
66 sec
48 sec
36 sec
45 sec
Answer: C
Question: Present ages of Sameer and Anand are in the ratio of
5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Choices:
24
40
cannot be determined
None
Answer: A
Question: If 15 toys cost Rs, 234, what do 35 toys cost?
Choices:
Rs.546
Rs.590
Rs.520
Rs.600
Answer: A
Question: A number increased by 40% gives 700. The number is
Choices:
500
450
500
520
Answer: A
Question: A train crosses a platform of 110 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
88
77
310
52
Answer: C
Question: The smallest 3 digit prime number is:
Choices:
103
107
112
101
Answer: A
Question: Walking at 5/6 of its usual speed, a train is 10 minutes too late. What is usual time to cover the journey?
Choices:
2 hours
2/3 hours
5/6 hours
85 minutes
Answer: C
Question: The difference between the heights of two trees is 20 cm. Ten years ago, the taller one was thrice as taller as the shorter one. The present height of the taller tree is
Choices:
300cm
20cm
10cm
40cm
Answer: A
Question: The set X consists of the following terms: {4,44,444,4444,.....}, where the nth term has n 4's in it for example 10th term is 4444444444. What is the hundreds digit of the sum of the first 75 terms of set X?
Choices:
2
4
6
8
Answer: B
Question: A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Choices:
5kmph
6kmph
4kmph
4.5kmph
Answer: A
Question: A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 15 seconds?
Choices:
1/4
1/2
2/3
3/4
Answer: A
Question: A ship went on a voyage after 180 miles a plane statrted with 10 times speed that of the ship.Find the distance when they meet from starting point.
Choices:
200 miles
146 miles
149 miles
143 miles
Answer: A
Question: A polygon has 230 diagonals. How many sides does it have?
Self made
Choices:
23
24
25
26
Answer: A
Question: If x : y = 1 : 3, find the value of (2x + 3y) : (5x – y)
Choices:
11:2
3:2
7:2
9:5
Answer: A
Question: Stacy and Helon are 30 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour faster than helon's constant rate of 5 miles/hour. If Helon starts her journey 24 minutes after Stacy, how far from the original destination has Helon walked when the two meet?
Choices:
8 miles
6 miles
13 miles
12 miles
Answer: C
Question: 9873 + x = 13200, then x is ?
Choices:
3327
3337
2337
None of these
Answer: A
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 230 meters long
Choices:
7 ½ sec
8 sec
8 ½ sec
9 sec
Answer: D
Question: How long does a train 100 m long running at the speed of 75 km/hr takes to cross a bridge 135 m length?
Choices:
11.3 sec
13.1 sec
16.5 sec
12.7 sec
Answer: A
Question: A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 546 pounds after processing, how many pounds did it weigh before processing?
Choices:
355
737
840
1,560
Answer: C
Question: Let p be a prime number. If N = 7P, how many divisors does N have?
Choices:
2
3
4
5
Answer: A
Question: Suraj has a certain average of runs for 8 innings. In the 9th innings he scores 90 runs thereby increasing his average by 6 runs. What is his average after the 9th innings?
Choices:
42
36
72
27
Answer: A
Question: If the shirt is selling for $150 and C.P is 30% of S.P. Then what is the profit percent
Choices:
150%
160%
170%
180%
Answer: A
Question: The radius of a cylindrical vessel is 7cm and height is 4cm. Find the whole surface of the cylinder?
Choices:
484
440
767
1981
Answer: A
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choices:
7 days
8 days
9 days
11 days
Answer: B
Question: A school’s annual budget for the purchase of student computers increased by 70% this year over last year. If the price of student computers increased by 30% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
30.77%
36%
37%
38%
Answer: A
Question: If 292,102 football shoes need to be placed in boxes and each box can contain at most 13 pair of football shoes. How many pair of football shoes will be in the last unfilled box?
Options:
Choices:
6 football shoes
4 football shoes
7 football shoes
9 football shoes
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
120
130
150
160
Answer: C
Question: How many different sections of 4 books can be made from 10 different books if two books are always selected.
Choices:
18
38
28
35
Answer: C
Question: 75 boys can complete a work in 36 days.how many men need to complete twice the work in 20 days
Choices:
170
270
190
200
Answer: B
Question: Elena’s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. She needs to make 7 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Choices:
4
9
13
28
Answer: D
Question: In a 120-mile trip, the first 40 miles were completed at 60 mph. If the average speed for the whole trip was 50 mph, what was the average speed in the last 80 miles?
Choices:
590/13 mph
595/13 mph
600/13 mph
605/13 mph
Answer: C
Question: If set A={3,3,3,....,n times} , set B={3,3,3,3....m times} and set C={11,11,11...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?
Choices:
b) (1+n+m+mn)(k+1)
c) k^2(mn+n/m)
d) kmn(k+m+n)
e) None of the above.
Answer: C
Question: If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A - B is also a Even number.
(3) A^B is also a prime number.
Choices:
2 only.
3 only.
2 and 3 only.
1, 2 and 3.
Answer: B
Question: There are 24 students in a seventh grade class. They decided to plant birches and roses at the school's backyard. While each girl planted 3 roses, every three boys planted 1 birch. By the end of the day they planted 2424 plants. How many birches and roses were planted?
Choices:
6
8
2
9
Answer: A
Question: A train ride from Two P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?
Choices:
$1.50
$4.10
$4.70
$8.20
Answer: A
Question: A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 2.5 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 39 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Choices:
12
19
36
50
Answer: C
Question: A businessman earns $24800 in December, thus decreasing his average annual (January to December) earnings by $1500. His average annual earnings would be
Source: CMAT Preparation
Choices:
$33500
$40200
$41300
$42300
Answer: C
Question: The average of six numbers is 3.9. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.45
4.2
4.1
4.9
Answer: A
Question: A train of length 250 m runs at a speed of 70 km/hr. What will be the time taken to cross any stationary object standing at the railway station?
Choices:
17.23 sec
12.86 sec
9.5 sec
8.5 sec
Answer: B
Question: if someone is ‘confounded’ means – he is puzzled, confused, bewildered stunned and ‘baffled’. Ask doubt using Question Id: 6320
Choices:
87
278
277
261
Answer: B
Question: In a certain government school, 40% of students are below 10 years of age. The number of students above 10 years of age is 5/6 th of the number of students of 10 years age which is 36. What is the total number of students in the school ?
Choices:
72
110
135
145
Answer: B
Question: The area of a sector of a circle of radius 5 cm formed by an arc of length 5.5 cm is?
Choices:
13.67
13.75
13.98
13.28
Answer: B
Question: What is the smallest no. that should be added to 41381 to make it exactly divisible by 9?
Choices:
1
5
6
9
Answer: A
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 63 unique alphanumeric case sensitive characters.
Choices:
62^5
62(62^4)
63(62^4)
64(63^4)
Answer: D
Question: A number a is squared and then multiplied by negative 6. The result of this operation is equal to three times the sum of FOURTH times a and two. What is one possible value of a ?
Choices:
3
4
1
5
Answer: C
Question: If a is an integer and b = 3a + 2, which of the following CANNOT be a divisor of b?
Choices:
6
8
9
10
Answer: A
Question: Bill has d animals, 32 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
Choices:
12
18
24
48
Answer: D
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?
Choices:
27
42
64
147
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
9921
2798
2789
Answer: A
Question: A train which has 600 m long, is running 60 kmph. In what time will it cross a person moving at 6 kmph in same direction ?
Choices:
44 sec
46 sec
40 sec
50 sec
Answer: C
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Choices:
10
12
13
20
Answer: A
Question: Mohit sold an article for $21000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
25000
15000
18000
17500
Answer: D
Question: If the given two numbers are respectively 7% and 14% of a third number, then what percentage is the first of the second ?
Choices:
25%
18%
50%
none of these
Answer: C
Question: At a local supermarket, a box of cereal usually costs 10 dollars. This week, the supermarket sells the box of cereal for 2 dollars. How much money will you save if you buy this cereal at this supermarket?
Choices:
3 dollars
4 dollars
2 dollars
8 dollar
Answer: D
Question: A milk seller has certain quantity of milk to sell. In what ratio, should he mix water to gain 5% by selling the mixture at the cost price ?
Choices:
1:5
1:20
1:15
None of these
Answer: B
Question: Find the odd man out. 15, 20, 25, 32, 30, 45
Choices:
20
30
32
25
Answer: C
Question: In a box of 8 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
3/11
4/13
5/14
6/17
Answer: C
Question: A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?
Choices:
1/5
3/5
4/5
6/5
Answer: A
Question: Dhoni weighs twice as much as Nameetha. Nameetha's weight is 65% of Bima's weight. Dravid weighs 40% of Leela's weight. Leela weighs 35% of Dhoni's weight. Who among these 5 persons weighs the least?
Choices:
Bima
Nameetha
Leela
Dravid
Answer: D
Question: In 1937, the ship of the great sailor SINBAD left an Egyptian port heading Ivory coast at W 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:
{ (6W)^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: Calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10% of its volume is occupied by mortar ?
Choices:
720
660
6000
NONE OF THESE
Answer: A
Question: A car finishes a journey in five hours at the speed of 100 km/hr. If the same distance is to be covered in two hours how much more speed does the car have to gain?
Choices:
10 km/hr
150 km/hr
16 km/hr
None of these
Answer: B
Question: Solve below question 2x + 1 = -13
Choices:
-9
9
8
-7
Answer: D
Question: Adding 25% of x to x is equivalent to multiplying x by which of the following?
Choices:
1.05
1.15
1.2
1.25
Answer: D
Question: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ?
Choices:
84 km/hr
34 km/hr
64 km/hr
14 km/hr
Answer: A
Question: A certain protective additive increases from 30 days to 45 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Choices:
33 1/3%
50%
66 2/3%
75%
Answer: B
Question: In digging a hole 10 m * 10 m * 100 m the volumes of the sand extracted will be?
Choices:
1000 cu.m
10000 cu.m
2000 cu.m
4000 cu.m
Answer: B
Question: Suppose that f(x) is a function such that for every real number x,i)f(x)+f(1-x) = 14 and (ii) f(1+x) = 3+f(x). Then f(x)+f(-x)
must equal
Choices:
9
10
11
12
Answer: C
Question: Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 6 minutes more to walk to work than to ride his bike to work, then x equals?
Choices:
7
9
15
20
Answer: B
Question: What is greatest positive integer n such that 2^n is a factor of 12^13?
Choices:
b)12
c)16
d)26
e)60
Answer: C
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did C get in a profit of Rs.2490 ?
Choices:
s. 498
s. 822
s. 812
s. 810
Answer: A
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:36
9:32
9:34
Answer: A
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 1H, which of the following represents the amount that Roberta paid?
Choices:
D + H – 1
D + 2H
2.03H
1.21D
Answer: C
Question: Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 25, what is the measure of side XY?
Choices:
10
8
8√2
Cannot be determined from the information provided
Answer: A
Question: Series 3,15,35,__,99
Choices:
53
63
73
83
Answer: B
Question: A sum of Rs. 125000 amounts to Rs. 16500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
4%
5%
6%
8%
Answer: D
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Choices:
283
308
318
338
Answer: B
Question: 9/5 of 11/122 of 8% of 33550 = ?
Choices:
433.4
435.6
436.8
456.7
Answer: B
Question: 675.987 - ? + 56.84 =289.654
Choices:
A)443.173
C)714.642
D)629.906
of these
Answer: A
Question: A is 2 times as fast as B. A alone can do the work in 20 days. If A and B work on alternative days, beginning with A, in how many days will the work be completed?
Choices:
22
21
24
26
Answer: D
Question: A committee that includes 12 members is about to be divided into 4 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Choices:
30%
26%
22%
18%
Answer: D
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Choices:
81000
26877
26771
17121
Answer: A
Question: The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is Z, then
Choices:
2x = y + z
x = 2y + 2z
None of these
Cannot be determined
Answer: A
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If k and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of k and n?
Choices:
-130
-104
51
305
Answer: C
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 120 miles at 60 mph?
Choices:
20%
25%
27%
40%
Answer: C
Question: At what rate percent on simple interest will Rs.650 amount to Rs.950 in 5 years?
Choices:
5.93%
4.33%
5.33%
9.23%
Answer: D
Question: The sum of the non-prime numbers between 20 and 30, non-inclusive, is
Choices:
173
197
209
221
Answer: A
Question: Two cars are driving toward each other. The first car is traveling at a speed of 100 km/h, which is 20% slower than the second car's speed. If the distance between the cars is 1125 km, how many hours will it take until the two cars meet?
Choices:
4.5
4.8
5
5.5
Answer: C
Question: In an hour a boat goes 10 Km along the stream and 4 Km against the stream. The speed of the boat in still water (in Kmph) is:
Choices:
7 Kmph
10 Kmph
12 Kmph
None of these
Answer: A
Question: Jim is now twice as old as Fred, who is eight years older than Sam. Four years ago, Jim was four times as old as Sam. How old is Jim now?
Choices:
40
44
48
52
Answer: B
Question: A firm of ready made garments makes both men’s and women’s shirts. Its average profit is 6% of the sales. Its profit in men’s shirts average 8% of the sales and women’s shirts comprise 60% of the output. The average profit per sale rupee in women shirts is
Choices:
0.0466
0.0166
0.0366
None of these
Answer: A
Question: In a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. Find the total number of cows.
Choices:
14
16
18
20
Answer: B
Question: A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Choices:
19
15
20
28
Answer: D
Question: A man buys a scooter for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the scooter?
Choices:
Rs. 1190
Rs. 1090
Rs. 1130
Rs. 1330
Answer: A
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Choices:
789
999
778
787
Answer: B
Question: Pipe A runs 10 liters of water per minute into a tank that has a total volume of 1,200 liters. Pipe B fills an half the tank in 1 hours.
Working together how long will it take both pipes to fill the tank ?
Choices:
1.5 hours
9 hours and 12 minutes
15 hours
1 hour and 12 minutes.
Answer: D
Question: Nine family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
Choices:
8080
9080
10,080
11,080
Answer: C
Question: Of the integers between 100 and 999, inclusive, how many do not have digit 3 and 5?
Choices:
320
448
428
528
Answer: B
Question: If 3x=6y=z, what is x+y, in terms of z?
Choices:
z/2
z/3
3z/5
z/9
Answer: A
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
14 ways
30 ways
61 ways
51 ways
Answer: B
Question: If the cost price of 8 articles is the same as the selling price of 10 articles. Find the gain or loss percentage?
Choices:
20% loss
30% gain
30% loss
40% loss
Answer: C