antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
24 kmph
20 kmph
27 kmph
83 kmph
Answer: B
Question: A train 50 m long passes a platform 100 m long in 10 seconds. The speed of the train in m/sec is ?
Choices:
50
10
15
12
Answer: C
Question: If 1/3 of the passengers on a ship are from North America, 1/8 are Europeans, 1/5 are from Africa, 1/6 are from Asia and the remaining 42 people are citizens of other continents, then how many passengers are on board the ship?
Choices:
240
280
300
320
Answer: A
Question: Exactly 36% of the numbers in set S are even multiples of 3. If 40% of the even integers in set S are not multiples of 3, what percent of the numbers in set S are not even integers?
Choices:
60%
50%
40%
24%
Answer: C
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/23
5/24
5/26
Answer: A
Question: Billy and Bonnie are opposing participants in an online auction. Each has a constant bidding strategy: Billy always bids up by raising $40 over any previous bid. Bonnie always bids up by doubling any previous bid. The auction begins with an initial bid by a third player, and progresses as follows: Billy bids up first, and Bonnie follows. Billy bids up again, and Bonnie follows and raises the bid to a final $600. What was the dollar value of the initial price?
Choices:
46
90
466
4673
Answer: B
Question: Last year Sandy saved 10% of her annual salary. This year, she made 10% more money than last year, and she saved 15% of her salary. The amount saved this year was what percent of the amount she saved last year?
Choices:
150%
165%
176%
188%
Answer: B
Question: Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Choices:
3:4
4:3
6:7
7:6
Answer: B
Question: A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 28 adults have their meal, find the total number of children that can be catered with the remaining food.
Choices:
54
18
17
01
Answer: A
Question: Solve the equation
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
Choices:
5
6
0
9
Answer: C
Question: Can is filled with a mixture of water & milk in the ratio of 3 : 5. Find the quantity of mixture to be drawn off and replaced with water, in order to get the mixture ashalf milk and 1/2water.
Choices:
1/5
3/7
1/9
2/5
Answer: A
Question: A truck carrying cans of soup contains P stacks. Each stack contains Q cases, and each case contains 2P cans. How many cans of soup are contained in 5 trucks?
Choices:
2Q/5
2P^2/5Q
10(P^2)Q
10P^2/Q
Answer: C
Question: Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?
Choices:
301
377
1368
222
Answer: A
Question: The radius of a semi circle is 3.5 cm then its perimeter is?
Choices:
32.4
32.1
18
32.9
Answer: C
Question: What is the 56743rd term in the series 1234567891011121314…….?
Choices:
3
7
5
6
Answer: B
Question: A sock drawer contains six socks, each one a different solid color. The colors of the socks are red, orange, yellow, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
15
21
36
42
Answer: A
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is:
Choices:
17 runs
10 runs
48 runs
12 runs
Answer: A
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
7
8
28
91
Answer: C
Question: The number 1254 is divisible by which number?
Choices:
7
4
5
6
Answer: D
Question: If the product of two numbers is 62216 and their H.C.F. is 22, find their L.C.M.
Choices:
2828
1365
1574
None of these
Answer: A
Question: Find the average of first 4 multiples of 12?
Choices:
12.6
22.5
30
40.8
Answer: C
Question: Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 20% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
Choices:
10%
15%
25%
30%
Answer: A
Question: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?
Choices:
3.5
35
350
3500
Answer: C
Question: Initially, the men and women in a room were in the ratio of 9 : 5. After 5 minutes, 3 women entered the room and 2 men left the room. Now there are 47 men in the room. Then, the number of women doubled. How many women are currently in the room?
Choices:
56
15
34
36
Answer: A
Question: A boy has thirteen trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
177 ways
188 ways
195 ways
189 ways
Answer: C
Question: Find the fourth proportional to 2.5, 4.6 and 7.6?
Choices:
13.98
15.18
15.34
16
Answer: A
Question: If x and y are positive integers, and x^3*y^4 = 648, which of the following is the value of xy?
Choices:
6
14
15
21
Answer: A
Question: 1/3 +1/2 - 5/6 + 1/5 + 1/4 - 9/20 -1=
Choices:
1
2/5
9/20
5/6
Answer: A
Question: How many of the following numbers are divisible by 24 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Choices:
5
4.
6
7
Answer: B
Question: A coin is weighted so that the probability of heads on any flip is 0.7, while the probability of tails is 0.3. If the coin is flipped 5 times independently, which of the following represents the probability that tails will appear no more than twice?
Choices:
(0.7)^5 + 5(0.7)^4(0.3) + 10(0.7)^3(0.3)^2
(0.7)^5 + 3(0.7)^4(0.3) + 2(0.7)^3(0.3)^2
(0.6)^5 + 2(0.6)^4(0.4) + (0.6)^3(0.4)^2
(0.6)^5 + (0.6)^4(0.4) + (0.6)^3(0.4)^2
Answer: A
Question: the banker's discount on a bill due 4 months hence at 15% is Rs.420. what is the true discount?
Choices:
400
390
380
480
Answer: A
Question: A geometric shape is obtained by combining a square of side 8 cm and a semicircle of diameter 8cm. What is the perimeter of the shape obtained?
Choices:
36.57
44.57
48.93
54.24
Answer: A
Question: The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group?
Choices:
4
5
6
7
Answer: A
Question: 1397 x 1397 = ?
Choices:
1987209
1952909
1951609
1958735
Answer: C
Question: If w and k are integers whose product is 400, which of the following statements must be true?
Choices:
n is not equal to k.
Either n or k is a multiple of 10.
If n is even, then k is odd.
If w is odd, then k is even.
Answer: D
Question: A painting at an art gallery is framed such that the area of the square frame is 1/2 the area of the painting itself. If the diagonal line connecting corners of the frame has a length of 6, what is the area of the painting inside the frame?
Choices:
12
30
40
50
Answer: A
Question: If Q is a positive integer greater than 1, what is the sum of the multiples of Q from Q to Q^2, inclusive?
Choices:
Q^2(Q + 1)/2
Q^2(Q-1)
(x^3 + 2x)/2
x(x-1)^2
Answer: A
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 340 m long platform?
Choices:
27
29
46
28
Answer: C
Question: In a soccer bet,we play 4 teams.first team odd 1.29,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Choices:
224.75
235.01
266.74
669.0
Answer: A
Question: 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Choices:
30
19
29
39
Answer: A
Question: On dividinng 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor.
Choices:
12
15
16
17
Answer: A
Question: A box contains 100 pairs of shoes (200 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Choices:
1/20
1/199
1/10
1/9
Answer: B
Question: The cost price of an article is 36% of the marked price. Calculate the gain percent after allowing a discount of 20%.
Choices:
36%
80%
122.2%
none
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
34%
44%
48%
42%
Answer: B
Question: A school’s annual budget for the purchase of student computers increased by 40% this year over last year. If the price of student computers increased by 25% 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:
14%
12%
13%
11%
Answer: B
Question: If Albert’s monthly earnings rise by 30%, he would earn $598. If, instead, his earnings rise by only 35%, how much (in $) would he earn this month?
Choices:
621
660
690
693
Answer: A
Question: Henry purchased a house for Rs.60000 and a site for Rs.20000 respectively, if he sold the house for Rs.70000 and the site for Rs.12000, then find the resultant percentage of gain?
Choices:
2.2%
2.3%
2.4%
2.5%
Answer: D
Question: If the first 200 numbers are written down and those divisible by 2 are deleted and again those divisible by 5 are deleted, how many numbers are left out ?
Choices:
80
200
160
None
Answer: A
Question: On dividing 127 by a number, the quotient is 9 and the remainder is 1. Find the divisor.
Choices:
B)14
C)16
D)18
E)22
Answer: A
Question: A feed store sells two varieties of birdseed: Brand A, which is 65% millet and 35% sunflower, and Brand B, which is 40% millet and 60% safflower. If a customer purchases a mix of the two types of birdseed that is 50% millet, what percent of the mix is Brand A?
Choices:
40%
50 %
60 %
55 %
Answer: A
Question: How much is 35% of 40 is greater than 4/5 of 25?
Choices:
776
66
14
99
Answer: C
Question: A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
Choices:
7.98
7.91
7.92
7.9
Answer: A
Question: A publisher sells cipies of a book retail dealer at 5 Rs.per copy.but allow 25 copies to be countes as 24.if the retailer sells each of the 25 copies at Rs.6.his profit percentage
Choices:
25%
15%
35%
45%
Answer: A
Question: A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
Choices:
20 min
27.5 min
30 min
None
Answer: C
Question: If x^2 > x^3 > x^1, which of the following could NOT be the value of x?
Choices:
-1.2
-1/5
-2/3
-0.1
Answer: A
Question: Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 12 songs, what are the chances that the third song he hears will be his favorite?
Choices:
1/12
1/11
3/14
1/3
Answer: A
Question: A car travels from point A to point B. The average speed of the car is 60 km/hr and it travels the first half of the trip at a speed of 80 km/hr. What is the speed of the car in the second half of the trip?
Choices:
42
45
48
50
Answer: C
Question: The perimeter of a rectangular yard is completely surrounded by a fence that measures 10 meters. What is the length of the yard if the area of the yard is 6 meters squared?
Choices:
1
5
7
3
Answer: D
Question: If n = 6^11 – 6, what is the units digit of n?
Choices:
0
4
6
8
Answer: A
Question: A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Choices:
2/13
5/26
5/27
4/27
Answer: B
Question: XXX can do piece of work in 30 days while YYY alone can do it in 40 days. In how many days can XXX and YYY working together do it?
Choices:
17 1/7
20 1/7
22 1/7
13 1/7
Answer: A
Question: The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
Choices:
42
78
76
26
Answer: A
Question: Three distinct single-digit numbers. A,B,C are in GP. If abs(x) for real x is the absolute value of x(x if x is +ve or 0 and -x if x is -ve), then the number of different possible values of abs(A+B+C) is
Choices:
6
3
4
7
Answer: C
Question: If a train, travelling at a speed of 90 kmph, crosses a pole in 6 sec, then the length of train is?
Choices:
112 m
117 m
125 m
150 m
Answer: D
Question: we have 5 weights one of 2 kg one of 3 kg one of 5 kg one of 10 kg one of 50 kg by using only three weight how many weight u can weight
Choices:
16
15
10
8
Answer: C
Question: Find a sum for first 8 prime no's from number series?
Choices:
77
89
34
36
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.81. How much was lent at 5%?
Choices:
666
778
900
977
Answer: C
Question: 5 + 5 + 5 + 2 × 5^2 + 2 × 5^3 + 2 × 5^4 + 2 × 5^5 + 2 × 5^6 + 2 × 5^7 =
Choices:
5^7
5^10
5^8
5^11
Answer: C
Question: Kim has 3 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?
Choices:
1/5
1/9
1/10
1/25
Answer: A
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
8.4
10
None of these
Answer: A
Question: 90 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
35
42
27
11
Answer: A
Question: Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of the new sphere will be
Choices:
4727 cm2
9856 cm2
19712 cm2
None
Answer: B
Question: The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
Choices:
81 : 121
81 : 120
81 : 128
81 : 122
Answer: A
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
5
6
8
Answer: A
Question: Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days. Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning to end. In how many days was the whole work done?
Choices:
16
88
55
41
Answer: A
Question: What will come in place of the x in the following Number series? 46080, 3840, 384, 48, x
Choices:
8
4
5
6
Answer: A
Question: How many seconds will a 400 m 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:
30
40
24
60
Answer: C
Question: A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
Choices:
30/15 hours
36/13 hours
30/13 hours
80/13 hours
Answer: C
Question: Of the 28 participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under 18 years of age and 2 females over 18 years of age?
Choices:
441
641
941
201
Answer: A
Question: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
Choices:
3x2 + 5x + 2 = 0
3x2 - 5x + 2 = 0
3x2 - 5x - 2 = 0
None of these
Answer: A
Question: A train covers a distance of 100km in 1 hour. If its speed is decreased by 20km/hr, the time taken by the car to cover the same distance will be?
Choices:
1hr 15min
50min
1hr 30min
1hr 45min
Answer: A
Question: Ram completes a piece of work in 15 days, Raja completes the same work in 20 days. If both of them work together, then the number of days required to complete the work is?
Choices:
8 days
10 days
8.57 days
14 days
Answer: C
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
100
1000
10000
102
Answer: B
Question: Four 6 faced dice are thrown together. The probability that all the four show the same number on them is ?
Choices:
1/216
1/144
1/200
1/242
Answer: A
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit
Choices:
70
289
27
10
Answer: A
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
12 days
15 days
16 days
3.75 days
Answer: D
Question: The area of square ABCD above is 20. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Choices:
18−10/2∗π
9+9/4∗π
9+9/2∗π
9/2−9/4∗π
Answer: A
Question: In the equation p = 36.12q, q and p are integers. If p/q leaves a remainder of r, which of the following must divide into r?
Choices:
3
4
6
12
Answer: A
Question: Working alone, A can complete a certain kind of job in 6 hours. A and D, working together at their respective rates, can complete one of these jobs in 4 hours. In how many hours can D, working alone, complete one of these jobs?
Choices:
10
12
14
16
Answer: B
Question: Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced?
Choices:
1/4
1/2
3/4
4/5
Answer: B
Question: If y ¤ z = y^(2z) for all positive integers, then (3 ¤ 4) ¤ 2 =
Choices:
3^12
3^16
3^24
3^32
Answer: D
Question: The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 4 as its largest number?
Choices:
1/4
1/8
1/16
5/32
Answer: A
Question: A fruit seller had some apples. He sells 80% and still has 500 apples. Originally, he had ?
Choices:
2500apples
500 apples
2000 apples
None
Answer: A
Question: In what proportion must rice at Rs 3.10 per kg be mixed with rice at Rs 3.60 per kg, so that the mixture be worth Rs 3.25 a kg?
Choices:
3/2
5/3
5/7
7/3
Answer: D
Question: Two trains, each 100 meters long, moving in opposite directions, completely pass each other in 10 seconds. If one train is moving twice as fast the other, then what is the speed of the faster train (in km/hr)?
Choices:
48 km/hr
64 km/hr
72 km/hr
80 km/hr
Answer: A
Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 20min will be.
Choices:
55 km/h
40 km/h
120 km/h
65 km/h
Answer: C
Question: The present ratio between the ages of Paul and Ben is 5:2. In 4 years time Paul will be 28. What is the present age of Ben?
Choices:
12
11
15
10
Answer: A
Question: Jennie’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choices:
1/5
1/4
1/3
1/2
Answer: A
Question: Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?
Choices:
XXIII
XVII
XV
X
Answer: B
Question: A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
Choices:
Rs.85
Rs.90
Rs.100
Rs.120
Answer: C
Question: Count each 7 which is not immediately preceded by 5 but is immediately followed by either 2 or 3. How many such 7's are there?
5 7 2 6 5 7 3 8 7 3 2 5 7 2 7 3 4 8 2 6 7 8
Choices:
2
4
5
6
Answer: A
Question: Each factor of 230 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Choices:
5/42
1/8
3/16
1/4
Answer: C
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 150 inclusive?
Choices:
80
100
105
110
Answer: A
Question: Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 11 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Choices:
100 days
120 days
110 days
200 days
Answer: D
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?
Choices:
−2
6
48
46
Answer: D
Question: A rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
Choices:
74ft
22ft
11ft
66ft
Answer: A
Question: In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 5?
Choices:
7
10
14
20
Answer: A
Question: A grocery shop has a sale of Rs. 6235, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Choices:
4184
4012
5191
5291
Answer: C
Question: The ratio of numbers is 3:4 and their H.C.F is 3. Their L.C.M is:
Choices:
16
36
48
98
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. 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: In the next Cricket World Cup T-20, Team T has decided to score 200 runs only through 4s and 6s. In how many ways can the Team T score these 200 runs?
Choices:
15
16
17
18
Answer: C
Question: On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Choices:
Tuesday
Friday
Sunday
monday
Answer: C
Question: The average of four consecutive odd numbers is 24. Find the largest number
Choices:
27
29
31
32
Answer: A
Question: What is difference between biggest and smallest fraction among 1/3, 3/4, 4/5 and 5/6
Choices:
1/2
1/6
1/7
None of these
Answer: A
Question: X does a work in 15 days. Y does the same work in 45 days. In how many days they together will do the same work?
Choices:
12
20
11.25
15
Answer: C
Question: Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 5 ½ hours if they are walking in the same direction?
Choices:
6 km
6 7/8 km
9 km
5 km
Answer: B
Question: Population is 22000. Population increases by 10% every year, then the population after 3 years is?
Choices:
29282
36620
26620
26820
Answer: A
Question: The average age of three boys is 30 years and their ages are in the proportion 3 : 6 : 12. The age of the youngest boy is:
Choices:
18 years
15 years
8.5 years
None of these
Answer: C
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 4:5:2, respectively, by weight. If 44 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Choices:
12
8
6
4
Answer: B
Question: If 13x + < 2z and z + 3 = 5y2 then
Choices:
x is necessarily greater than y
x is necessarily equal to y
None of the above is necessarily true
Cannot be determined
Answer: C
Question: An electric motor makes 3,600 revolutions per minutes. How many degrees does it rotate in one second?
Choices:
28.000 d/sec
38.000 d/sec
21.600 d/sec
35.000 d/sec
Answer: C
Question: When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 1. What is the value of 7y – x ?
Choices:
2
3
4
5
Answer: B
Question: Because of the economic slowdown, a multinational company curtailed some of the allowances of its employees. John, the marketing manager of the company whose monthly salary has been reduced to Rs.42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs.2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs.500 every month. John has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, John would start borrowing from his friends. How soon will he start borrowing?
Choices:
10th months
11th months
12th months
13th months
Answer: D
Question: A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
Choices:
2/91
1/8
2/81
3/81
Answer: A
Question: In a certain store, the profit is 350% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
72.2%
100%
250%
120%
Answer: A
Question: The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his woman, as the song says?
Choices:
24
48
60
120
Answer: B
Question: A cistern 7m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Choices:
50 m2
53.5 m2
55.5 m2
57 m2
Answer: C
Question: A man has Rs. 384 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
70
72
80
60
Answer: B
Question: What is the divisor? The dividend is 76, the remainder is 8, the quotient is 4
Choices:
48
67
17
26
Answer: C
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Choices:
230
240
270
260
Answer: C
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
277
266
212
Answer: A
Question: Mary charges $8.50 per hour to clean a house. If she works 29 hours, how much
does she earn in one week?
Choices:
$112.50
$246.50
$446.50
$312.50
Answer: B
Question: Nitin’s salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?
Choices:
8%
1%
4%
9%
Answer: B
Question: A baseball coach is choosing 9 players out of 14 to start the game today. He considers 8 of his players to be better hitters than fielders and 6 of his players to be better fielders or pitchers than hitters. If he wants to choose 6 hitters and 3 defensive players (those better at fielding or pitching), how many starting lineups are possible?
Choices:
500
520
540
560
Answer: D
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $36. What is the cost of the carpet, in dollars per square yard? (1 square yard = 7 square feet)
Choices:
252/(xy)
3xy/11
297/(xy)
297xy
Answer: A
Question: Find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01)
Choices:
0.845
0.842
0.828
0.8419
Answer: A
Question: What is the sum of the integers from -160 to 162, inclusive?
Choices:
327
323
330
350
Answer: B
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg. What is the correct weight?
Choices:
58.65kgs
58.95kgs
59kgs
59.85kgs
Answer: A
Question: In one alloy there is 15% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
Choices:
9%
10.1%
8.6%
8.4%
Answer: B
Question: If the price has fallen by 12% what percent of its consumption be: increased so that the expenditure may be the same as before?
Choices:
A)3/22%
1/9 %
1/11 %
%
Answer: A
Question: How many integers k greater than 100 and less than 1000 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Choices:
60
70
80
90
Answer: C
Question: If two dice are thrown together, the probability of getting a square number on both the dice is
Choices:
1/3
1/4
1/12
2/3
Answer: C
Question: Suresh borrowed some money at the rate of 6% p.a. for the first three 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 13 years is Rs.8160, how much money did he borrow?
Choices:
s.6375
s.8000
s.9000
s.7000
Answer: A
Question: 100 identical coins each with probability 'pp' showing up heads & tossed. If 0
Choices:
25/114
51/101
56/117
57/157
Answer: B
Question: What is the largest 4 digit number exactly divisible by 88?
Choices:
9944
9988
9900
9987
Answer: A
Question: In how many ways can the letters of the word AFRAID be rearranged such that the vowels always appear together?
Choices:
3!*3!
4!/2!
(4! *3!)/2!
3!*3!/2
Answer: C
Question: Of the three-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
36
72
1
216
Answer: D
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 35∘, the temperature of Friday was :
Choices:
43∘
38∘
30∘
None of these
Answer: A
Question: How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
Choices:
6
13
18
24
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
77
66
44
Answer: A
Question: What is the smallest possible common multiple of three integers, all larger than 21?
Choices:
54.
846.
22
21,924.
Answer: C
Question: .
On dividing a number by 357, we get 41 as remainder. On dividing the same number 17, what will be the remainder ?
Choices:
7
5
8
11
Answer: A
Question: A and B entered into a partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. At the end of 10 months, the gain was Rs.760. What is A's share in the profit?
Choices:
320
330
340
350
Answer: B
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
18
24
19
12
Answer: B
Question: If the product of the integers from 1 to n is divisible by 686, what is the least possible value of n?
Choices:
14
21
28
35
Answer: B
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Choices:
15
26
87
30
Answer: D
Question: Due to construction, the speed limit along an 5-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
3.12
10
15
24
Answer: A
Question: .002/?= .01
Choices:
.2
.009
.0009
None of them
Answer: A
Question: If two integers between –5 and 3, inclusive, are chosen at random, which of the following is most likely to be true?
Choices:
The sum of the two integers is odd
The product of the two integers is even
The product of the two integers is odd.
The product of the two integers is negative
Answer: B
Question: 6x − 12 = 6y
6y + 6x = 18
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly three
Exactly two
Exactly one
None
Answer: B
Question: The price of 3 pants and 6 t-shirts is Rs. 1500. With the same money one can buy 1 pant and 12 t-shirts. If one wants to buy 8 t-shirts, how much shall she have to pay ?
Choices:
300
250
550
800
Answer: D
Question: There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31
Choices:
29
23
31
33
Answer: A
Question: Four pipes fill a cistern in 15,20,30 and 60 hours.The first was opened at 6 am,the second at 8 am,third at 10 am and fourth at noon.When will the reservoir be full?
Choices:
2PM
3PM
4PM
5PM
Answer: A
Question: John and David were each given X dollars in advance for each day they were expected to perform at a community festival. John eventually performed on all 40 days of the festival, while David performed on 5 fewer days than John performed. If David gives John y dollars of her advance payment so that they would have each received the same daily rate, what was John paid in advance, in terms of Y?
Choices:
12Y
15Y
18Y
24Y
Answer: B
Question: A man can row 11 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
Choices:
6 km
5.76 km
5.66 km
10.87 km
Answer: D
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
88
12
87
29
Answer: B
Question: The salaries of A,B and C are in the ratio 2:3:5. If the increments of 15%,10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
Choices:
23:33:60
15:45:66
23:59:77
15:63:71
Answer: A
Question: A 6% stock yields 8%.The market value of the stock is :
Choices:
Rs. 75
Rs. 96
Rs. 133.33
None
Answer: A
Question: If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM ?
Choices:
32
29
27
11
Answer: A
Question: If 10^(c-1)< 0.000125 <10^c, what is the value of an integer c?
Choices:
-3
-2
3
4
Answer: A
Question: The average of the two-digit numbers, which remain the same when the dibits inter-change their positions, is
Choices:
28
55
25
71
Answer: B
Question: If there is exactly one root of the equation 2x^2 + ax + b, where a and b are positive constants, what is b in terms of a?
Choices:
a
3a/2
a^2/8
a^2/4
Answer: C
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 40% Vermouth by volume. How many ounces of Gin must he add?
Choices:
0
3n/5
5n/6
8n/5
Answer: A
Question: If n = 30! + 25, then n is divisible by which of the following?
I. 25
II. 27
III. 29
Choices:
I only
II only
I and II
II and III
Answer: A
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
375
267
298
121
Answer: A
Question: Insert the missing number
2, 4, 8, 16, ..., 64, 128, 256
Choices:
35
32
33
38
Answer: B
Question: Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer E between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Choices:
15
17
E=18
20
Answer: C
Question: The price of 2 skirts and 4 shirts is Rs. 1600. With the same money one can buy 1 skirt and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?
Choices:
Rs. 2400
Rs. 2420
Rs. 2460
Rs. 2480
Answer: A
Question: A water tank, having the shape of a rectangular prism of base 100 square centimeters, is being filled at the rate of 1 liter per minute. Find the rate at which the height of the water in the water tank increases. Express your answer in centimeters per minute.
Choices:
10 cm
70 cm
60 cm
20 cm
Answer: A
Question: Wendy begins sanding a kitchen floor by herself and works for 3 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
Choices:
3/20 hours
20/3 hours
80/9 hours
506/91 hours
Answer: D
Question: A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does A have?
Choices:
800
726
484
500
Answer: B
Question: How many randomly assembled people do u need to have a better than 50% probability that at least 1 of them was born in a leap year?
Choices:
3
27
54
81
Answer: A
Question: A company has found that when x units of a product are manufactured and sold, its revenue is given by x 2 + 100 x dollars and its costs are given by 240 x + 500 dollars. How many units must be produced and sold to make a profit of 10,000 dollars? (HINT: profit = revenue - costs)
Choices:
193
194.
195
196
Answer: B
Question: If |5x-20| = 100, then find the sum of the values of x?
Choices:
-2
8
-3
4
Answer: B
Question: The average weight of 25 boys sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the boys decreased by 5 kg. Find the average weight of first 25 boys?
Choices:
154
176
182
192
Answer: B
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is?
Choices:
5/9
2/9
3/8
5/3
Answer: A
Question: Find the invalid no.from the following series 15, 16, 34, 105, 424, 2124, 12756
Choices:
16
34
424
2124
Answer: D
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
Choices:
86
25
18
12
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 36,000, what will be the amount A receives?
Choices:
15120
14900
14300
14000
Answer: A
Question: There are 60 slots around a circle,numbered 1 to 60. A man starts fromthe first slot and jumps to the 5th slot.From there he jumps to the 9th slot andso on. In which slot will he land in his 2200th jump?
Choices:
5
41
45
46
Answer: B
Question: The age of the daughter is same as the digit in the mother's age, but in reverse order. In thirteen years mother will be twice as old as daughter will be then. what is the difference in their current age ?
Choices:
23
27
46
32
Answer: B
Question: What is the solution of the equations x - y = 5 and 5(x + y)-1 = 2 ?
Choices:
x = 3.75, y = 1.25
x = 2, y = 1.1
x = 1.2, y = 0.3
None
Answer: A
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in?
Choices:
144 min
196 min
100 min
112 min
Answer: A
Question: Sandy purchased 20 dozen toys at the rate of $360 per dozen. Sandy sold each toy at the rate of $33. What was the percentage profit?
Choices:
6%
8%
10%
12%
Answer: C
Question: If 3^z is a factor of 52!, which of the following could be the value of z?
I. 22
II. 21
III. 23
Choices:
II ONLY
III ONLY
BOTH I AND II
NONE
Answer: B
Question: How many pairs of letters are there in the word 'CASTRAPHONE' which have as many letters between
them in the word as in the alphabet?
Choices:
7
6
4
3
Answer: C
Question: If a wooden bar of length 45 feet is cut into two pieces, what is the length of the shorter piece if the longer bar is 15 feet longer than the shorter bar?
Choices:
10
13
16
15
Answer: D
Question: A train speeds past a pole in 12 seconds and a platform 160 m long in 17 seconds. Its length is?
Choices:
384
324
390
395
Answer: A
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked three 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
240
350
400
Answer: B
Question: Three integers are at random chosen between 0 and 9 inclusive. What is the probability E that each number is different ?
Choices:
A.18/25
C.81/100
D.9/10
E.1
Answer: A
Question: A larger hose connected to a swimming pool can fill the pool in 6 hours. A smaller hose can fill the pool in 12 hours. How many hours will it take for both of them to fill the pool?
Choices:
7 1/2
5 3/5
8
4
Answer: D
Question: Income and expenditure of a person are in the ratio 5:4. If the income of the person is Rs.18000, then find his savings?
Choices:
Rs.3600
Rs.3615
Rs.3628
Rs.3618
Answer: A
Question: Suppose x is a positive even number, all of whose digits are either 3 or 4. If x is also divisible by both 3 and 4, how many digits are in the smallest possible value of x?
Choices:
Three
Five
Six
Seven
Answer: A
Question: If a Ã— b = 2a - 3b + ab, then 2 Ã— 5 + 5 Ã— 2 is equal to :
Choices:
18
24
25
26
Answer: A
Question: what is the least number by which 5,400 must be divided to get a number perfect square
Choices:
42
24
40
45
Answer: B
Question: N and M are each 3-digit integers. Each of the numbers 2, 3,4, 6, 7, and 8 is a digit of either N or M. What is the smallest possible positive difference between N and M?
Choices:
39
58
113
131
Answer: A
Question: Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal.
Choices:
Rate = 8% and Time = 8 years.
Rate = 6% and Time = 6 years.
Rate = 5% and Time = 5 years.
None of these
Answer: A
Question: A man travels 100km by train at 50km/hr, 200km by ship at 20km/hr, 300km by aeroplane at 100km/hr and 100km by car at 50km/hr. What is the average speed for the entire distance?
Choices:
35.3km/hr
48.9km/hr
52.6km/hr
27.6km/hr
Answer: A
Question: An incredible punch is composed of buttermilk, orange juice, and brandy. How many pints of orange juice are required to make 7 1⁄2 gallons of punch containing twice as much buttermilk as orange juice and three times as much orange juice as brandy? (1 Gallon = 8 Pints )
Choices:
18
20
22
24
Answer: A
Question: The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
Choices:
12
21
18
11
Answer: A
Question: For which of the following functions f is f(y) = f(1-y) for all of y?
Choices:
f(y) = 1-y^2
f(y) = 4y^2 * (2-2y)^2
f(y) = y/(y-1)
f(y) = y/(y+1)
Answer: B
Question: X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
Choices:
Rs.14400
Rs.12000
Rs.12500
Rs.13500
Answer: A
Question: An amount of money is to be divided among P, Q and R and in the ratio of 5:11:23 respectively. If the difference between the total share of P and Q together and R’s share is Rs. 2,800 what is the difference between Q and R’s share? [Bank 2000]
Choices:
Rs. 3,600
Rs. 4,800
Rs. 3,200
Rs. 3,700
Answer: B
Question: The cross-section of a well is a trapezium in shape. If the well is 15 m wide at the top and 5 m wide at the bottom and the area of cross-section is 700 sq m, the depth of well is?
Choices:
60 m
40 m
80 m
70 m
Answer: D
Question: 20 men can complete a work in 10days. Six days after they started working, 10 more men joined them. How many days will they now take to complete the remaining work?
Choices:
8/3
4/5
6
4
Answer: A
Question: A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
Choices:
47
83
92
95
Answer: A
Question: Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Choices:
28
23
27
32
Answer: D
Question: A sum of money becomes 7/6 of itself in 6 years at a certain rate of simple interest. The rate per annum is?
Choices:
50/13
50/17
25/9
5 5/1
Answer: C
Question: Tarun bought a T.V. with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved Rs. 500. At what price did he buy the T.V.?
Choices:
Rs. 10000
Rs. 12000
Rs. 16000
None of these
Answer: D
Question: The smallest 3 digit prime number is?
Choices:
101
105
107
109
Answer: A
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
322
345
395
Answer: B
Question: A committee that includes 10 members is about to be divided into 2 subcommittees with 5 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Choices:
44%
40%
36%
32%
Answer: A
Question: Find the average marks of all the students in 2 separate classes, if the average marks of students in the first class of 55 students is 60 and that of another class of 48 students is 58
Choices:
51.1
53.1
52.1
59.1
Answer: D
Question: A and B together can complete a work in 12 days. A alone complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
Choices:
11 days
15 days
20 days
17 days
Answer: B
Question: Priya purchased n items from a catalog for $9 each. Postage and handling charges consisted of $6 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Choices:
10n + 4
19n + 2
19n + 3
8n + 4
Answer: A
Question: Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is woman. In how many different ways can this be done?
Choices:
100
120
90
80
Answer: D
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.1
127.8
127.2
127.0
Answer: A
Question: If a(a - 6) = 27 and b(b - 6) = 27, where a ≠ b, then a + b =?
Choices:
−2
46
6
48
Answer: C
Question: A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction W of time taken by the two wide pipes working together to fill the tank?
Choices:
2/3
3/4
3/7
4/7
Answer: D
Question: If the average (arithmetic mean) of a and b is 150, and the average of b and c is 90, what is the value of a − c?
Choices:
−100
120
135
It cannot be determined from the information given
Answer: B
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
Choices:
2400
2409
2405
2401
Answer: A
Question: How much interest can a person get on Rs. 45000 at 12.5% p.a. simple interest for a period of four years and six months?
Choices:
25587.52
35387.5
25312.5
37587.57
Answer: C
Question: A certain function f satisfies the equation f(x)+2*f(6-x) = x for all real numbers x. The value of f(1) is
Choices:
1
3
4
can't determine
Answer: B
Question: Ajay can walk 4km in 1 hour. In how many hours he can walk 40km?
Choices:
10hrs
15hrs
20hrs
30hrs
Answer: A
Question: How many leading zeros (zeros after the decimal point but before the first nonzero digit of a number) are in 1/8!?
Choices:
3
5
6
9
Answer: B
Question: 108 Ã— 108 + 92 Ã— 92 = ?
Choices:
11500
20128
20660
20228
Answer: B
Question: All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 105 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
45
48
51
54
Answer: A