antoine-444/aqua_rat_dataset huggingface dataset:
Question: A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes tom can make using this recipe?
Choices:
5
7
8
9
Answer: A
Question: If the average (arithmetic mean) of a and b is 45 and the average of b and c is 85, what is the value of c âˆ’ a?
Choices:
80
90
140
It cannot be determined from the information given
Answer: A
Question: Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent L of the lights that are on are supposed to be off?
Choices:
16(2/3)%
11(1/9)%
10%
5%
Answer: C
Question: P is three times as fast as Q and working together, they can complete a work in 24 days. In how many days can Q alone complete the work?
Choices:
77
32
55
778
Answer: B
Question: In a room with 9 people, 6 people have exactly 1 friend in the room and 5 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?
Choices:
3/7
4/7
5/7
1
Answer: D
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
372
375
381
312
Answer: B
Question: If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Choices:
1:4
3:7
5:3
2:3
Answer: C
Question: Jim has arrived late for his golf tee time with his friends. When he arrives at the course, he discovers that his friends have already walked 180 yards ahead on the course and that they are continuing to walk forward at a rate of 1.5 yards per second. A bystander with a golf cart takes pity on Jim and drives him to meet his friends at the rate of 4 yards per second. Once Jim meets his friends, he exits the cart and walks with them at their rate for the next 120 yards. What is Jim’s approximate average speed for his total trip?
Choices:
2.0 yards per second
2.4 yards per second
2.7 yards per second
3.0 yards per second
Answer: C
Question: What is the minimum value of z for which z^2 + z - 3/8> 0 is not true?
Choices:
-3/2
-1/2
-3/4
1/2
Answer: C
Question: A set of 16 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
Choices:
37
40
44
50
Answer: C
Question: The forth proportional to 2,4,6 is?
Choices:
12
15
18
22
Answer: A
Question: 2, 3, 5, 16, 231, ?
Choices:
53210
53051
52109
53105
Answer: D
Question: Ramesh can finish a piece of work in 10 days. Rohan is twice as efficient as Ramesh.If they work together how many days will they need to finish the same amount of work?
Choices:
9/3 days
10/3 days
11/3 days
7/3 days
Answer: B
Question: A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.2 km/h that day, what was its approximate downstream speed?
Choices:
3
6
7
8
Answer: A
Question: The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
80,40 kmph
10,40 kmph
80,80 kmph
84,40 kmph
Answer: A
Question: There are 6 gentlemen and 4 ladies to dine at a round table. In how many ways can they seat themselves so that no two ladies are seated together.
Choices:
14400
86400
65600
88600
Answer: A
Question: How many times are the hands of a clock at right angles in a day?
Choices:
44
49
41
47
Answer: A
Question: The function f(Y) represents the number of ways that prime numbers can be uniquely summed to form a certain number Y such that Y = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
Choices:
5
6
7
8
Answer: C
Question: In what time will Rs.4400 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?
Choices:
7 4/6
7 4/7
7 1/2
7 1/5
Answer: B
Question: 1,257
1,275
1,527
........
........
+7,521
The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum T of the 24 integers ?
Choices:
44,406
60,444
66,660
99,990
Answer: D
Question: In Josephs convent school,80% are boys at the same time 75% are girls students.If 88% are boys students then, what is percentage of the girls students in the particular school?
Choices:
41
50
39
63
Answer: A
Question: A can have a piece of work done in 10 days, B can work two times faster than the A, C can work three times faster than A. How many days will they take to do the work together ?
Choices:
5/2 days
4/3 days
can't say
none
Answer: A
Question: A card player is dealt a poker hand of 5 cards. Considering that there are 12 face cards and 40 other cards in a deck of cards, how many hands are there in which the player will be dealt 2 face cards and 3 other cards?
Choices:
580,420
652,080
712,600
880,420
Answer: B
Question: The ratio of flour to water to sugar in a recipe is 10:6:3. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required?
Choices:
4
5
6
7
Answer: A
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 20 years now, the son's age five years back was:
Choices:
8 years.
7 years.
5 years.
6 years.
Answer: C
Question: A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 10:00 a.m.?
Choices:
7
6
5
10
Answer: D
Question: A rectangular lawn of dimensions 100 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
B)930
C)9309
D)4500
E)8302
Answer: C
Question: For positive integers p and q, which of the following can be written as q^2?
Choices:
p^2+11
p^2+8
p^2+7
p^2-7
Answer: D
Question: Find the compound ratio of (4:3), (1:3) and (2:3) is
Choices:
16:27
13:14
14:15
31:27
Answer: A
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
88
72
66
12
Answer: B
Question: In a game of billiards, A can give B 40 points in 80 and he can give C 70 points in 80. How many points can B give C in a game of 100?
Choices:
27
25
75
17
Answer: C
Question: There are 4 children and 3 chairs. In how many ways children can occupy the chairs?
Choices:
84
56
24
80
Answer: C
Question: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
Choices:
3:4:5
1:2:3
2:3:4
3:2:1
Answer: C
Question: What is the least value of x. So that 24x57 is divisible by 3.
Choices:
0
1
3
4
Answer: A
Question: At what rate percent on simple interest will Rs.850 amount to Rs.950 in 5 years?
Choices:
2.35%
4.35%
5.33%
6.33%
Answer: A
Question: The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
Choices:
Rs.1100
Rs.1170
Rs.1190
Rs.1200
Answer: B
Question: When x divided by 288, the remainder is 47. Find the remainder when the same x is divided by 24?
Choices:
21
23
25
26
Answer: B
Question: Find the surface area of a 10 cm x 8 cm x 3 cm brick.
Choices:
124 cu cm.
164 cu cm.
180 cu cm.
268 cu cm.
Answer: D
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
76.5 kg
85 kg
None of these
Data inadequate
Answer: B
Question: 34.95 + 240.016 + 23.98 = ?
Choices:
298.946
298.964
298.496
None of them
Answer: A
Question: What is the difference between the CI on Rs. 5000 for 1 years at 4% per annum CI yearly and half yearly?
Choices:
Rs. 2.04
Rs. 2.23
Rs. 3
Rs. 3.04
Answer: A
Question: Which of the following describes all values of x for which 1–x^2 < 0?
Choices:
x < –1
0 <= x <= 1
x < –1 or x > 1
–1 <= x <= 1
Answer: C
Question: AV + CD = AAA, where AV and CD are two-digit numbers and AAA is a three digit number; A, V, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Choices:
3
7
9
Cannot be determined
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 45. What is the difference between the two digits of that number?
Choices:
5
6
8
9
Answer: A
Question: How many 4's are there in the following series which are preceded by 7, but are not preceded by 8?
3 4 5 7 4 3 7 4 8 5 4 3 7 4 9 8 4 7 2 7 4 1 3 6
Choices:
2
3
4
More than four
Answer: C
Question: The average of seven numbers is 24. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
29
31
34
69
Answer: D
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3850. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choices:
s.350
s.352
s.362
s.368
Answer: A
Question: Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
Choices:
150
882
272
121
Answer: A
Question: A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was :
Choices:
665
998
1277
1991
Answer: A
Question: If e≠f and e·f≠0, which of the following may be true?
Choices:
e.f=0
(e+f)(e-f)=0
e^2 = f^2
e^2+f^2 =0
Answer: B
Question: A vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
Choices:
30
40
45
50
Answer: A
Question: In what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?
Choices:
5
4
6
7
Answer: A
Question: If it takes two teams of factory workers 6 days to complete a task. How many days will it take each team working separately, to complete the same task if it will take one of the teams 3 days earlier to complete the task.
Choices:
10 and 15
4 and 7
9 and 12
3 and 6
Answer: A
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 60% goods during theft. His loss percent is:
Choices:
42%
56%
12%
22%
Answer: B
Question: If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of blood ?
Choices:
Red
Yellow
Green
Pink
Answer: C
Question: For which of the following functions f is f(z) = f(1-z) for all z?
Choices:
f (z) = 1 - z^2
f (z) = z^2 - (1 - z)^2
f (z) = z^2*(1 - z)^2
f (x) = x/(1 - x)
Answer: C
Question: Which is a better investment 8% stock at 212 or 6 2/3 stock at 350?
Choices:
6 2/3 stock at 350
None
Both are equally good
Cannot be compared, as the total amount of investment is not given
Answer: A
Question: If 24 men working for 12 hrs a day can do a work in 16 days, in how many days can 8 men working 6 hrs a day do it?
Choices:
24 days
36 days
96 days
None of these
Answer: C
Question: A train running at the speed of 80 km/hr crosses a pole in 10 seconds. What is the length of the train?
Choices:
350 m
150 m
250 m
240 m
Answer: C
Question: A truck carrying cans of paint contains P stacks. Each stack contains P/4 cases, and each case contains 2P cans. How many cans of paint are contained in 8 trucks?
Choices:
4P^3
P^2/8
P^3/4
2P^3
Answer: A
Question: If on an item a company gives 25% discount, they earn 25% profit.If they now give 10% discount then what is the profit?
Choices:
30
50
60
70
Answer: A
Question: An amount of Rs.40,000 is to be distributed amongst P, Q, R and S such that “P” gets twice as that of “Q” and “S” gets four times as that of “R”. If “Q” and “R” are to receive equal amount, what is the difference between the amounts received by S and P?
Choices:
2697
10000
5000
6971
Answer: B
Question: A 160 meter long train crosses a man standing on the platform in 8 sec. What is the speed of the train?
Choices:
94 kmph
92 kmph
86 kmph
72 kmph
Answer: D
Question: If $1088 are divided between worker A and worker B in the ratio 5:11,what is the share that worker B will get?
Choices:
64.55%
66.65%
68.75%
70.85%
Answer: C
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
A.
Choices:
two minutes.
44 seconds.
20 seconds.
12 seconds
Answer: C
Question: On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
Choices:
3
5
11
7
Answer: B
Question: Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.25
7.25
7.5
8
Answer: A
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 10 years younger than Albert. How old is Betty?
Choices:
5
10
12
15
Answer: A
Question: On a certain transatlantic crossing, 40 percent of a ship’s passengers held round-trip tickets and also took their cars abroad the ship. If 20 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship’s passengers held round-trip tickets?
Choices:
40%
50%
60%
80%
Answer: B
Question: If MEDICAL is written as EFNJDBM and VERSION is written as SFWTJPI then PROBLEM is written as
Choices:
NQOCMFN
PSQCMFN
PSQCMFM
None
Answer: B
Question: Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Choices:
2
7
4
9
Answer: A
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4 days
8 days
5 days
1 days
Answer: A
Question: Look at this series: 8, 22, 8, 28, 8, ... What number should come next?
Choices:
28
44
34
55
Answer: C
Question: Sam is training for the marathon. He drove 12 miles from his home to the Grey Hills Park and then ran 6 miles to Red Rock, retraced his path back for 2 miles, and then ran 5 miles to Rock Creek. If he is then n miles from home, what is the range of possible values for n?
Choices:
3 ≤ n ≤21
5 ≤ n ≤19
6 ≤ n ≤18
9 ≤ n ≤15
Answer: A
Question: An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 30 cm, find the sum of the perimeters of all the triangles.
Choices:
180 cm
240 cm
270 cm
300 cm
Answer: A
Question: What is the decimal equivalent of (1/6)^2?
Choices:
0.0625
0.16
0.278
0.5
Answer: C
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choices:
2510 m^2
2520 m^2
2540 m^2
2590 m^2
Answer: B
Question: A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is
Choices:
44
45
46
47
Answer: A
Question: A swimmer can swim in still water at 4 km/h. If the speed of the water current is 2 km/h, how many hours will the swimmer take to swim against the current for 7 km?
Choices:
3.25
3.5
3.75
4.0
Answer: B
Question: Suresh borrowed some money at the rate of 6% p.a. for the first two years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of 11 years is Rs.8160, how much money did he borrow?
Choices:
s.6000
s.8500
s.9000
s.7000
Answer: B
Question: If -4 < x < 8 and -6 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 24
-48 < xy < 24
-24 < xy < 21
-24 < xy < 24
Answer: B
Question: On Friday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
Choices:
Tuesday
Thursday
Friday
Saturday
Answer: A
Question: In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 6 is
Choices:
12
81
20
24
Answer: B
Question: A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is
Choices:
25/42
25/409
25/45
25/41
Answer: A
Question: On a certain test, Bill scored 20 more points than John, but half as many points as Sue. If the sum of the scores of the three students was 160 points, how many points did Bill receive?
Choices:
45
50
80
100
Answer: A
Question: A basket has 4 apples and 6 oranges. Three fruits are picked at random. What is the probability that at least 2 apples are picked?
Choices:
1/3
1/4
2/5
3/5
Answer: A
Question: A polling company reports that there is a 50% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
Choices:
10
6
4
5
Answer: A
Question: In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 30 ducks and in the larger pond there are 50 ducks. If 20% of the ducks in the smaller pond are green and 12% of the ducks in the larger pond are green, then what percentage of ducks are green?
Choices:
14%
15%
16%
17%
Answer: B
Question: A man sells an article at a gain 15%. If he had bought it at 10% less and sold it for 6 less, he would have gained 25%. Find the cost price of the article.
Choices:
160
170
180
240
Answer: D
Question: If 6 men and 8 women can do a piece of work in 10 days while 26 men and 48 women can do the same in 2 days, the time taken by 15 men and 20 women in doing the same type of work will be?
Choices:
4
6
7
8
Answer: A
Question: X = 101102103104105106107......146147148149150 (From numbers 101-150). Find out the remainder when this number is divided by 9.
Choices:
2
5
6
7
Answer: A
Question: Find the odd man out 8,27, 64,216,,512,1000
Choices:
512
64
8
27
Answer: D
Question: Ifaequals the sum of the even integers from 2 to 80, inclusive, andbequals the sum of the odd integers from 1 to 79, inclusive, what is the value of a - b ?
Choices:
10
19
40
21
Answer: C
Question: The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
10 kmph
22 kmph
88 kmph
12 kmph
Answer: A
Question: If x is an odd integer, which of the following is an odd integer?
Choices:
x^2
2x+4x
1+2x+x^2
3x-1
Answer: A
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.1170. The perimeter of the plot is?
Choices:
156
180
321
260
Answer: B
Question: The ratio of two quantities is 3 to 7. If the first quantity is increased by 6, how much should the second quantity be increased to maintain the same ratio?
Choices:
7
14
28
It cannot be determined from the information given
Answer: B
Question: A Prototype fuel-efficient car (P-Car) is estimated to get 90% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 60% more per gallon than does the gasoline used by a T-Car. If the two
cars are driven the same distance, what percent less than the money spent on gasoline for the
T-Car is the money spent on gasoline for the P-Car?
Choices:
15.78%
50%
60%
66 2/3 %
Answer: A
Question: The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
Choices:
60%
75%
80%
89%
Answer: B
Question: How long does a train 110 m long running at the speed of 90 km/hr takes to cross a bridge 132 m length?
Choices:
9.68 sec
17.9 sec
16.8 sec
14.9 sec
Answer: A
Question: In a partnership, A invests 1⁄6 of the capital for 1⁄6 of the time, B invests 1⁄3 of the capital for 1⁄3 of the time and C, the rest of the capital for whole time. Find A’s share of the total profit of 2,300
Choices:
100
300
400
None of these
Answer: A
Question: Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 4 times the amount of the second solution?
Choices:
65
68
70
72
Answer: B
Question: A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 hours a day?
Choices:
5 days
7 days
3 days
9 days
Answer: C
Question: What distance will be covered by a bus moving at 72 kmph in 30 seconds?
Choices:
600
772
551
131
Answer: A
Question: Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Choices:
10
28
27
13
Answer: A
Question: Tom left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
Choices:
200
266
267
600
Answer: C
Question: Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 16/36, what is the probability that the next one she draws will be pink?
Choices:
4/7
3/7
1/3
40/49
Answer: C
Question: Find the area of circle whose radius is 5m?
Choices:
113.1
288
280
371
Answer: A
Question: SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
80-89--------------------------3.
90-99--------------------------8
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 39 scores?
Choices:
23th
20th( 70-79)
25th
26th
Answer: C
Question: To fill a tank, 42 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-fifths of its present ?
Choices:
103
104
105
106
Answer: C
Question: If s is a positive integer, and if the units' digit of s^2 is 4 and the units' digit of (s + 1)^2 is 1, what is the units' digit of (s + 2)^2 ?
Choices:
0
4
6
8
Answer: A
Question: What is the dividend. divisor 16, the quotient is 9 and the remainder is 5?
Choices:
B)134
C)149
D)158
E)160
Answer: B
Question: Of the science books in a certain supply room, 50 are on botany, 60 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
Choices:
319
166
285
324
Answer: A
Question: A single discount equivalent to the discount series of 12%, 10% and 5% is?
Choices:
31.9
24.67
24.76
31.1
Answer: C
Question: In how many different number of ways 3 boys and 2 girls can sit on a bench?
Choices:
710
120
720
740
Answer: B
Question: A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 5 KMPH, Find the speed of the boat in still water
Choices:
10
15
20
25
Answer: D
Question: A fill pipe can fill 1/2 of cistern in 25 minutes. In how many minutes, it can fill 1/2 of the cistern?
Choices:
15 min
20 min
25 min
30 min
Answer: C
Question: A photography dealer ordered 72 Model X cameras to be sold for $250 each, which represents a 20 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 72 cameras?
Choices:
13% loss
7% profit
14% profit
15% profit
Answer: C
Question: The sale price sarees listed for Rs.200 after successive discount is 10% and 5% is?
Choices:
169
172
178
171
Answer: D
Question: Four bells commence tolling together and toll at intervals of 2, 4, 6, 8 seconds respectively. In 18 minutes, how many times do they toll together ?
Choices:
44
45
46
47
Answer: B
Question: 16 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choices:
131
232
90
45
Answer: B
Question: WHAT WILL BE THE VALUE OF
log e(e(e....)^1/2)^1/2)^1/2).....log base is e?
Choices:
1
2
3
4
Answer: A
Question: The average age of 40 students is 8 years. If the age of teacher is also included , then their average age increases by half a year. What is the age of the teacher?
Choices:
48.5 years
28.5 years
26.5 years
29.5 years
Answer: B
Question: A, B and C have Rs.300 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
A)250
C)248
D)247
E)246
Answer: A
Question: Of the 200 stamps in a collection, 90 are foreign and 50 are more than 10 years old. If 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
Choices:
80
100
130
150
Answer: A
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 4960 , R will receive
Choices:
700
800
960
None of these
Answer: C
Question: The number of livestock in a farm at the beginning of year 2000 was 140,000. During the year, the number increased by p%. During the next year 2001, there was a famine and the number decreased by q%. A census at the end of year 2001 revealed that the number of livestock in the farm was 140,000. Which of the following expressions is correct?
Choices:
q > p
p = q
With the exception of 1 instance, p will be equal to q
p > q
Answer: D
Question: A and B can together finish a work in 10days. They worked together for 5days and then B left. After another 5days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
10
20
5
30
Answer: A
Question: Four hundred students at College Q study a foreign language. Of these, 190 of those students study French, and 260 study Spanish. If at least 105 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
Choices:
40 to 100
60 to 100
60 to 105
70 to 110
Answer: C
Question: 40% of x is greater than 1/3rd of x by 110.what is x?
Choices:
2100
1300
1650
1400
Answer: C
Question: Evaluate :log3 27
Choices:
3
5
6
7
Answer: A
Question: The average weight of 4 person's increases by 1.5 kg when a new person comes in place of one of them weighing 95 kg. What might be the weight of the new person?
Choices:
101 kg
105 kg
Data inadequate
None of these
Answer: A
Question: Anne has pouches of grain that she wants to divide between the different areas of the petting zoo. Unfortunately, Anne's pouches of grain don't divide evenly. It turns out that in order for the pouches of grain to divide evenly, Anne will have to purchase two additional pouches of grain, and not visit two of the petting zoo areas. Which of the following can describe the initial number of grain pouches, and the initial number of areas in the petting zoo (in the order areas of the petting zoo; pouches of grain)?
Choices:
16; 5.
12; 4
30; 4
21; 7
Answer: A
Question: A group of tourists wants to visit at least three of the four cities A, B, C, and D. How many travel itineraries can they make? All cities are connected to one another and please note that visiting the same cities in a different order counts as a different itinerary.
Choices:
36
48
60
64
Answer: B
Question: 2/3rd of the boys and 3/4th of the girls of a school participate in a function. If the no.of participating students is 550, out of which 150 are girls, what is the total no.of students in the school?
Choices:
780
800
880
900
Answer: B
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 3000 for a computer table, then what was the cost price of the computer table?
Choices:
2500
1991
6725
2099
Answer: A
Question: If f(x) =6* (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?
Choices:
-f(x)
1/f(x)
-1/f(x)
-6*f(x)
Answer: D
Question: Mangoes, Oranges and Apples in a fruit shop are in the ratio of 10: 2 : 3. If there are 120 Mangoes, the number of Apples in the shop is:.
Choices:
36
72
400
56
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
17
14
Answer: B
Question: There are 3 classes having 20, 24 and 30 students respectively having average marks in
an examination as 20,25 and 30 respectively. The three classes are represented by A, B and C and you have the following information about the three classes.
a. In class A highest score is 22 and lowest score is 18
b. In class B highest score is 31 and lowest score is 23
c. In class C highest score is 33 and lowest score is 26.
Choices:
can't be determined in both cases
definite increase in both cases
will remain constant in both cases
will remain constant in both cases21
Answer: A
Question: The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.
Choices:
10%
18%
12%
15%
Answer: A
Question: A ship sails out to a mark at the rate of 19 kmph. and sails back at the rate of 13 kmph. The average rate of sailing is ?
Choices:
15 km/hr
12.5 km/hr
25 km/hr
None
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 30 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
24 sec
48 sec
60 sec
62 sec
Answer: C
Question: If x is positive integer,y is negative integer, and 3x + 2y = 13, which of the following could be the value of x ?
Choices:
9
12
13
4
Answer: A
Question: Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 70 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?
Choices:
50
63
75
80
Answer: B
Question: Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
Choices:
4
5
7
9
Answer: A
Question: If the true discount on a sum due 3 years hence at 14% per annum be Rs. 168, the sum due is:
Choices:
768
1430
1980
None
Answer: A
Question: William earned $9.50 an hour. He worked 40 hours one week and received a bonus
of $75.00. How much did he earn that week?
Choices:
$455.00
$655.00
$755.00
$855.00
Answer: A
Question: Find the unit's digit in the product 2467 153 * 34172?
Choices:
1
2
5
7
Answer: A
Question: Find the surface area of a 10cm*4cm*3cm brick.
Choices:
156 cm square
160 cm square
164 cm square
None of these
Answer: C
Question: The banker's discount on a sum of money for 3 years is Rs. 1116. The true discount on the same sum for 4 years is Rs. 1200. What is the rate per cent?
Choices:
12%
10%
6%
7%
Answer: C
Question: If the average (arithmetic mean) of a and b is 100, and c – a = 120, what is the average of b and c?
Choices:
140
160
170
180
Answer: B
Question: In the x-y plane, the area of the region bounded by the graph of |x+y| + |x-y| = 8 is
Choices:
12
256
20
24
Answer: B
Question: A bowl has only 7 apples and 7 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
Choices:
1/5
2/9
2/5
3/13
Answer: D
Question: There are 7 players in a bowling team with an average weight of 121 Kg. If two new players join the team, one weighs 110 Kg and the second weighs 60 Kg, what will be the new average weight?
Choices:
118 Kg.
113 Kg.
110 Kg.
112 Kg.
Answer: B
Question: Can you find next number in tricky mathematical series below?
111 , 113 , 117 , 119 , 123 , 137 ?
Choices:
151
171
131
121
Answer: A
Question: A and B working separately can do a piece of work in 9 and 12 days respectively, If they work for a day alternately, A beginning, in how many days, the work will be completed?
Choices:
11 days
8 days
10 1/4 days
None of them
Answer: C
Question: There are two numbers. If 30% of the first number is added to the second number, then the second number increases to its six-fifth. What is the ratio of the first number to the second number?
Choices:
4 : 5
3 : 5
5 : 8
2 : 3
Answer: D
Question: If q is an odd integer, which of the following must also be odd?
Choices:
q + q
3q + 3
2q + q
q^2 + 1
Answer: C
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 20 years. What is the age of the new member ?
Choices:
21 years
10 years
23 years
24 years
Answer: B
Question: If M and N are positive integers, and the remainder obtained when M is divided by N is the same as the remainder obtained when N is divided by M, which of the following is a possible value of MN?
Choices:
55
42
35
16
Answer: D
Question: A is half good a work man as B and together they finish a job in 15 days. In how many days working alone B finish the job?
Choices:
22
45/2
36
48
Answer: B
Question: Bobby bought 2 shares, and which he sold for $96 each. If he had a profit of 80% on the sale of one of the shares but a loss of 80% on the sale of the other share, then on the sale of both shares Bobby had...
Choices:
a profit of 8
a loss of 800
a loss of 342
neither a profit nor a loss
Answer: C
Question: Denise is trying to open a safe whose combination she does not know.
IF the safe has 4000 possible combinations,and she can try 75 different
possibilities,what is the probability that she does not pick the one
correct combination.
Choices:
159/160
157/160
4 3/160
0
Answer: B
Question: A man purchased a grinder for Rs. 600 and sold it at a profit of 12%. The selling price is:
Choices:
Rs. 672
Rs. 684
None of these
Cannot be determined
Answer: A
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is ?
Choices:
5/12
5/87
5/56
5/38
Answer: A
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 4 sec, then the length of train is?
Choices:
125
288
100
121
Answer: C
Question: X divided by Y equals 6.32 what is a possible remainder?
Choices:
4
6
8
7
Answer: C
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 723 grams per kg, what is his percent?
Choices:
38.3%
77%
99%
12%
Answer: A
Question: Find the area of a parallelogram with base 32 cm and height 15 cm.
Choices:
384
345
480
242
Answer: C
Question: During the first two weeks of February, the total rainfall in Springdale was 20 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall in inches during the second week of February?
Choices:
6
9
10
12
Answer: D
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 10km/hr, the time taken by the car to cover the same distance will be?
Choices:
1hr 6min
50min
1hr 30min
1hr 45min
Answer: A
Question: If 8 men and 2 boys working together, can do seven times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:3
3:8
5:1
5:2
Answer: C
Question: An empty pool being filled with water at a constant rate takes 3 hours to fill to 3/5 of its capacity. How much more time will it take to finish filling the pool?
Choices:
5 hr 20 min
4 hr 48 min
3 hr 12 min
2 hr 00 min
Answer: D
Question: One train is traveling 72 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?
Choices:
5:6
2:1
5:4
5:1
Answer: B
Question: 11 times a number gives 132. The number is
Choices:
12
13.2
None
Cannot be determined
Answer: A
Question: A single letter is selected at random from the word 'PROPER'. The probability that it is a vowel is..??
Choices:
3/11
4/11
0
2/6
Answer: D
Question: A present value of a machine is $12800. Its value depletiation rate is 25% per annum then find the machine value after 3 years?
Choices:
A)$5400
C)$36520
D)$32450
E)$42500
Answer: A
Question: Two pipes P and Q can fill a cistern in 15 and 10 minutes respectively. Both are opened together, but at the end of 6 minutes the first is turned off. How much longer will the cistern take to fill?
Choices:
6 1/4
6
6 1/2
6 1/1
Answer: B
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 31 cm?
Choices:
268 sq.cm
618 sq.cm
297 sq.cm
620 sq.cm
Answer: D
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
Choices:
4
5
6
8
Answer: B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
167 sq.units
197 sq.units
157 sq.units
Answer: A
Question: A cube of edge 12cm is immersed completely in a rectangular vessel containing water. If the dimensions of the base of vessel are 20cm * 15cm , find the rise in water level?
Choices:
5.76cm
11.25cm
15.12cm
20.62cm
Answer: A
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 23 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Choices:
1
2
4
None of these
Answer: C
Question: In a competitive examination in a state A, 10% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 12% candidates got selected with 100 more candidates got selected than A. What was the number of candidates appeared from each state?
Choices:
5000
5500
6500
4200
Answer: A
Question: Three runners running around a circular track can complete one revolution in 2, 4 and 5.5 respectively. When will they meet at starting point ?
Choices:
44 h
38 h
20 h
22 h
Answer: A
Question: How many cases do you need if you have to pack 500 same Dolls into cases that each hold five pair of Doll ?
Choices:
35 cases
50 cases
45 cases
40 cases
Answer: C
Question: A candy company sells premium chocolate at $5 per pound and regular chocolate at $4 per pound in increment of whole pound only.If Barrett buys a pack of candies which costs him $30, how many pounds of premium chocolates are in the box?
Choices:
[B] 2
[C] 3
[D] 4
[E] 5
Answer: A
Question: Two trains of length 150 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Choices:
77 sec
76 sec
21.5 sec
66 sec
Answer: C
Question: It takes 60 identical printing machines 2 hours to print 300 cards. How much more time would it take 50 of these machines to print the same total?
Choices:
25 min
26 min
36 min
30 min
Answer: C
Question: Mario and Nina each have a bag of marbles, each of which contains 5 blue marbles, 10 red marbles, and 5 white marbles. If Mario and Nina each select one marble from their respective bags, what is the probability that either Mario or Nina select a red marble?
Choices:
1/4
2/4
1/8
1/16
Answer: B
Question: A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.420, find the number of 50 paise coins ?
Choices:
488
450
528
418
Answer: B
Question: The average weight of the teacher and six students is 12 kg which is reduced by 5 kg if the weight of the teacher is excluded. How much does the teacher weigh ?
Choices:
42
66
28
11
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140
160
170
180
Answer: A
Question: The remainder when 1!+2!+3!...+50! divided by 7! will be
Choices:
873
777
927
19
Answer: A
Question: In how many ways letters of the word POLICIES be arranged?
Choices:
28763
20160
45693
54823
Answer: B
Question: There are 70 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 14 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?
Choices:
31
42
53
64
Answer: B
Question: The sector of a circle has perimeter 83 cm and central angle 225o. Find its radius?
Choices:
15 cm
14 cm
24 cm
28 cm
Answer: B
Question: An automobile financier claims to be lending money at S.I., but he includes the interest every six months for calculating the principal. If he is charging an interest of 20%, the effective rate of interest becomes?
Choices:
20.5%
10%
30.5%
50.5%
Answer: A
Question: At a certain zoo, the ratio of sea lions to giraffes is 7 to 11. If there are 81 more giraffes than sea lions at the zoo, how many sea lions are there?
Choices:
36
48
72
141
Answer: D
Question: If k is the greatest positive integer such that 3^k is a divisor of 18! then k =
Choices:
4
5
6
8
Answer: D
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 Sec
686 Sec
686 Sec
466 Sec
Answer: A
Question: Solve :
42 : 56 :: 110 : ?
Choices:
111
132
143
158
Answer: B
Question: There is a 50% chance that Alice will visit China this year, while there is a 20% chance that she will visit Brazil this year. What is the probability that Alice will visit either China or Brazil this year, but NOT both?
Choices:
50%
40%
35%
30%
Answer: A
Question: A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/5 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
Choices:
x/2
2x/3
3x/2
2x
Answer: C
Question: In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 93% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?
Choices:
5%
2.5%
4%
3.6%
Answer: D
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $300 per sq. metre.
Choices:
$3587.50
$4187.50
$6187.50
$8587.50
Answer: C
Question: 54671 - 14456 - 33490 = ?
Choices:
5449
6749
6725
6468
Answer: C
Question: A sum of money is sufficient to pay X's wages for 36 days and Y's wages for 45 days. The same money is sufficient to pay the wages of both for?
Choices:
17
18
19
20
Answer: D
Question: The cost of 6 pens is 10 more than 5 marker's cost. The 12 pens is Rs.240.
Choices:
Rs.42
Rs.24
Rs.110
Rs.22
Answer: D
Question: Find a number such that it exceeds 18 by three times the number by which it is less than 86?
Choices:
68
69
70
71
Answer: B
Question: Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 85. Find the third number?
Choices:
B)85
C)48
D)43
E)84
Answer: A
Question: The ratio of football players, baseball players, soccer players, and basketball players in a school is 10:7:5:4. How many athletes are in the school if 16 players are on the basketball team?
Choices:
92
104
208
80
Answer: B
Question: Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 5 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Choices:
1260
1155
7920
15840
Answer: B
Question: How much does a watch lose per day, if its hands coincide ever 64 minutes?
Choices:
32x8/11 min
90 min
96 min
None
Answer: A
Question: The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 3.6 miles in the sixth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
Choices:
34
38
42
46
Answer: C
Question: Working at constant rate, pump X pumped out half of the water in a flooded basement in 5 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Choices:
b. 12
c. 14
d. 26
e. 24
Answer: C
Question: In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
Choices:
47 sec
33 sec
35 sec
None of these
Answer: B
Question: Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Choices:
$6.65
$9.75
$7.25
$4.85
Answer: D
Question: A father is now three times as old as his son. NINE years back, he was four times as old as his son. The age of the son (in years) is
Choices:
15
18
20
27
Answer: D
Question: Six children — A, B, C, D, E and F— are going to sit in six chairs in a row. The children B & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
240
1440
4320
4800
Answer: A
Question: 220% of a number X is 44. What is 44% of X.
Choices:
8.8
6.6
7.7
None
Answer: A
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
Choices:
39
58
62
75
Answer: A
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A. 30 km/hr B. 45 km/hr
Choices:
78
60
28
81
Answer: B