antoine-444/aqua_rat_dataset huggingface dataset:
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled 45 meters. How many times did the ball bounce?
Choices:
4
7
8
9
Answer: A
Question: Statement : Until our country achieves economic equality, political freedom and democracy would be meaningless.
Conclusions :
I. Political freedom and democracy go hand in hand.
II. Economic equality leads to real political freedom and democracy.
Choices:
II only
I and II only
I and III only
II and III only
Answer: A
Question: What is the value of 28^2 + 29^2 + 30^2 + 31^2 + 32^2 ?
Choices:
4508
4510
4528
4538
Answer: B
Question: If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers
Choices:
6, 4, 15
5, 15, 45
12, 8, 13
10, 15, 20
Answer: A
Question: If d=1/(2^3*5^6) is expressed as a terminating decimal, how many nonzero digits will d have?
Choices:
One
Three
Seven
Ten
Answer: A
Question: Three cows work to fill a tub at at different rate. Hose A and B, working together, can fill the tub in 3/5 of an hour. Hoses A and C can fill it in 1/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 cows, working together, to fill the tub?
Choices:
2/5
6/11
1
6/5
Answer: B
Question: How many of the positive factors of 24 , 16 and how many common factors are there in numbers?
Choices:
2
3
4
5
Answer: C
Question: Which of the following is between 27/37 and 29/35?
Choices:
3/8
1/2
5/8
7/9
Answer: D
Question: a, b, c, d, and e are five consecutive integers in increasing order of size. Which one of the following
expressions is not odd?
Choices:
ab + c
ab + d
ac + d
ac + e
Answer: D
Question: If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {22} + {20}?
Choices:
23
11
5
2
Answer: A
Question: The total car population in a Mumbai is 2,94,00 out of which 1,50,00 are made by Honda. Out of every 100 Honda cars, 98 are red in color, but only 53% of the total car population is red. Find the % of non-Honda cars that are red
Choices:
6%
6.125%
7.12%
8.13%
Answer: B
Question: Jack and Christina are standing 150 feet apart on a level surface. Their dog, Lindy, is standing next to Christina. At the same time, they all begin moving toward each other. Jack walks in a straight line toward Christina at a constant speed of 7 feet per second and Christina walks in a straight line toward Jack at a constant speed of 8 feet per second. Lindy runs at a constant speed of 10 feet per second from Christina to Jack, back to Christina, back to Jack, and so forth. What is the total distance, in feet, that Lindy has traveled when the three meet at one place?
Choices:
60
80
100
120
Answer: C
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $216 per week. How much does she earn in dollars per hour?
Choices:
10
9
8
6
Answer: D
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 3/4 % his yearly income diminishes by Rs. 61.50, his capital is?
Choices:
28,888
24,600
24,628
24,6012
Answer: B
Question: A large box contains 21 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Choices:
350
450
550
525
Answer: D
Question: A glass was filled with 12 ounces of water, and 0.03 ounce of the water evaporated each day during a 22-day period. What percent of the original amount of water evaporated during this period?
Choices:
5.5%
0.5%
5%
20%
Answer: A
Question: A, B, and C working alone can finish constructing a house in 4, 8, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Choices:
11:32 am
11:49 am
12:07 pm
12:35 pm
Answer: B
Question: 331, 482, 551, 263, 383, 242, 111
Choices:
383
242
111
None of these
Answer: A
Question: An alloy of zinc and copper contains the metals in the ratio 5 : 3. The quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is:
Choices:
9
8
7
4
Answer: B
Question: I. a3 - 988 = 740,
II. b2 - 72 = 72 to solve both the equations to find the values of a and b?
Choices:
a ≥ b
a < b
a ≤ b
a = b or the relationship between a and b cannot be established.
Answer: A
Question: If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability B that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Choices:
(b) 4/9
(c) 1/2
(d) 6/10
(e) 5/9
Answer: D
Question: If 3a – 3b – 2c = 32 and √3a-√(2b+2c)=4, what is the value of a + b + c?
Choices:
9
10
12
14
Answer: B
Question: The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 5 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
Choices:
40%
85.5%
70%
72%
Answer: B
Question: The average monthly income of P and Q is Rs. 6050. The average monthly income of Q and R is Rs. 7050 and the average monthly income of P and R is Rs. 8000. The monthly income of P+Q+R is:
Choices:
42000
21100
42200
21000
Answer: B
Question: $600 will become $720 in 4 years find the rate of interest?
Choices:
15%
5%
7%
20%
Answer: B
Question: Hardy and Andy start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in lanes at uniform speeds, but Hardy is faster than Andy. They 1st pass at a point 18.5m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 50 sec. After setting off on the return length, the swimmers pass for the 2nd time just 10.5m from the shallow end. How long is the pool?
Choices:
25
35
45
55
Answer: C
Question: A train covers a certain distance at a speed of 280kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Choices:
540km/hr
560km/hr
600km/hr
650km/hr
Answer: B
Question: If the units digit of n^27 is 7, which of the following could be the value of n?
I. n = 41
II. n = 43
III. n = 47
Choices:
Only II
Only III
I and II
II and III
Answer: A
Question: Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?
Choices:
2420 feet
2500 feet
2629 feet
None of these
Answer: A
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings?
Choices:
$800
$1000
$700
$1500
Answer: A
Question: I bought a book for Rs 60 , I sold off to a friend for Rs 70 but after a while i felt sorry , that i sold it and bought it back for Rs 80, how much loss did I incur?
Choices:
10
20
25
30
Answer: A
Question: What is the sum of all 3 digit positive integers that can be formed using the digits 1, 5, and 8, if the digits are allowed to repeat within a number T?
Choices:
1386
3108
308
13986
Answer: D
Question: Due to 10% decrease in the price of sugar and John can buy 6kg more sugar in Rs100 , then find the CP of sugar?
Choices:
s. 1(23/27)
s. 2(1/9)
s. 3(2/7)
s. 4(2/9)
Answer: A
Question: If a copier makes 20 copies every 6 seconds, then continues at this rate, how many minutes will it take to make 2,000 copies?
Choices:
15
12
11
10
Answer: D
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.250
Rs.290
Rs.300
Rs.310
Answer: A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Choices:
2008
2002
2000
2001
Answer: C
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is:
Choices:
37
25
27
11
Answer: B
Question: If a book is sold at 6% profit instead of 6% loss, it would have brought Rs 15 more. Find out the cost price of the book
Choices:
72
60
70
125
Answer: D
Question: A man walking at 3/4th of the speed, reaches his office late by 2 hours. What is the usual time?
Choices:
3 hours
6 hours
12 hours
15 hours
Answer: B
Question: The end of a blade on an airplane propeller is 10 feet from the center. If the propeller spins at the rate of 660 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Choices:
150π
300π
480π
1,200π
Answer: A
Question: A man sells two flats at the rate of Rs.1.995 lakhs each. On one he gains 5% and on the other, he loses 5%. His gain or loss percent in the whole transaction is
Choices:
0.25% loss
2.5% loss
25% loss
None
Answer: A
Question: Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 40 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
Choices:
5
6
8
24
Answer: C
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
20 min
25 min
30 min
12 min
Answer: D
Question: add 20% of 40 and 25% of 60.
Choices:
23
25
22
15
Answer: A
Question: If (2^x)(3^y) = 576, where x and y are positive integers, then (2^x-1)(3^y-2) equals:
Choices:
24
32
96
144
Answer: B
Question: find cp when sp=rs51.70:loss=12%
Choices:
Rs 58.75
Rs 68.75
Rs 98.75
Rs 78.75
Answer: A
Question: If 72 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Choices:
120 hours
100 hours
90 hours
80 hours
Answer: A
Question: The sum of the even numbers between 1 and n is 85*86, where n is an odd number, then n=?
Choices:
171
179
185
191
Answer: A
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
2987
4400
2678
2681
Answer: B
Question: The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Choices:
3
4
5
1
Answer: A
Question: The Royal Hawaiian Hotel decorates its Rainbow Christmas Tree with non-flashing white lights and a series of colored flashing lights - red, blue, green, orange, and yellow. The red lights turn red every 20 seconds, the blue lights turn blue every 30 seconds, the green lights turn green every 45 seconds, the orange lights turn orange every 60 seconds, and yellow lights turn yellow every 1 minute and 20 seconds. The manager plugs the tree in for the first time on December 1st precisely at midnight and all lights begin their cycle at exactly the same time. If the five colored lights flash simultaneously at midnight, what is the next time T all five colored lights will all flash together at the exact same time?
Choices:
0:04 AM
0:06 AM
0:12 AM
0:24 AM
Answer: C
Question: Three investors, M, N, and O, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor M earned $ 3,500, how much money did investors N and O earn in total?
Choices:
$4,900
$5,600
$9,500
$10,500
Answer: D
Question: The ages of two person differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Choices:
30, 10
29, 9
50, 30
20,10
Answer: A
Question: How many different positive integers are factors of 125 ?
Choices:
2
3
4
5
Answer: A
Question: Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
Rs.200
Rs.250
Rs.350
Rs.400
Answer: B
Question: A bag contains 4 red and 3 black balls. A second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red
Choices:
19/42
7/32
16/39
17/39
Answer: A
Question: In a contest, a bowl contains 5 keys, one of which will open a treasure chest and Four of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If priya is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize?
Choices:
2/5
2/9
2/11
2/13
Answer: A
Question: A person has uncovered a secret that was a mystery for ages. He transfers the data into his hard drive and encrypts the drive with a password. Then, he writes a line on a paper to remember the password.
The line says 'You force heaven to be empty'.
Can you decrypt the line to reveal the password if you know that the password is seven characters long that comprise of just letters and numbers?
Choices:
U472BMT
S472BMT
D472BMT
V472BMT
Answer: A
Question: Bill has d animals, 24 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?
Choices:
12
18
24
36
Answer: D
Question: Given that 2x + 7 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Choices:
-1 and 4
-4 and 1
-2 and 5
2 and 5
Answer: A
Question: A Man is on the escalator moving down wards and in a hurry he also steps down 10 steps manually and by the time he has 10 steps he is on the ground floor.Then by hearing some noise in the escalator he ran back in the same escalator with 10 times speed than the 1st time and he has 25 steps to reach the 1st floor. Then the question is how many steps will be visible if escalator is switched off?
Choices:
11
12
13
14
Answer: B
Question: In three annual examinations, of which the aggregate marks of each was 500, a student secured
average marks 45% and 55% in the first and the second yearly examinations respectively. To secure 55% average total marks, it is necessary for him in third yearly examination to secure marks :
Choices:
325
400
450
500
Answer: A
Question: Two persons starting from the same place walk at a rate of 12kmph and 18kmph respectively. What time will they take to be 18km apart, if they walk in the same direction?
Choices:
3 hrs
5 hrs
2 hrs
16 hrs
Answer: A
Question: If 9a - b = 10b + 80 = -12b - 2a, what is the value of 9a - 11b?
Choices:
-2
0
2
80
Answer: D
Question: A train running at 50 km/hr, passes a man walking on the platform at 7 km/hr in same direction as that of train in 15 sec. If this train takes 30 seconds to cross the platform then find the length of train (L1) and length of platform (L2)?
Choices:
L1 =179.1 m, L2 = 237.3 m
L1 = 237.3 m, L2 = 179.1 m
L1 = 300 m, L2 = 150.5 m
None of these
Answer: A
Question: When a positive integer A is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. When the positive integer B is divided by 5 and 3, the remainders obtained are 1 and 2, respectively. Which of the following is a factor of (A - B)?
Choices:
10
12
15
18
Answer: C
Question: Find the unit's digit in 264^102+264^103
Choices:
0
3
4
5
Answer: A
Question: If Q:R = 6:7 and R:S = 8:9 then Q:R:S is
Choices:
48:56:66
48:56:63
44:52:63
48:50:63
Answer: B
Question: What is the difference between the place value and the face value of 8 in the numeral 296827?
Choices:
792
794
7994
795
Answer: A
Question: A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
Choices:
21000
26662
2992
8212
Answer: A
Question: Three beauty pageant finalists-Cindy, Amy and Linda-The winner was musician. The one who was not last or first was a math major. The one who came in third had black hair. Linda had red hair. Amy had no musical abilities. Who was first?
Choices:
Amy
Linda
Sandy
none
Answer: B
Question: In an examination 35% of the students passed and 520 failed. How many students appeared for the examination?
Choices:
B)400
C)800
D)650
E)840
Answer: B
Question: Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 4 seconds.What is the length of the fast train?
Choices:
22 2/9 m
27m
27 7/9m
29 7/9m
Answer: A
Question: In a single throw of a die, what is the probability of getting a number greater than 4?
Choices:
1/3
2/3
2/5
3/7
Answer: A
Question: The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42. Then find the average for the last four matches?
Choices:
33.5
34.25
35
none
Answer: B
Question: An air conditioner can coo the hall in 10 minutes while another takes 15 minutes to cool under similar conditions. if both air conditioners are switched on at same instance then how long will it take to cool the room?
Choices:
6 minutes
3 minutes
8 minutes
10 minutes
Answer: A
Question: Find the annual income derived by investing $ 6800 in 10% stock at 136.
Choices:
500
250
300
400
Answer: A
Question: A certain farmer pays $60 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet? (43,560 square feet = 1 acre)
Choices:
$3,360
$1,350
$600
$150
Answer: C
Question: Which of the following fractions can be written as the difference of reciprocals of two consecutive integers
Choices:
7/30
12/45
1/56
1/72
Answer: C
Question: A reduction of 25% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
2.3
2.5
3.3
2.9
Answer: C
Question: The ages of 2 persons differ by 21 years. If 15 years ago the elder one be 8 times as old as the younger one, find the present age of elder person.
Choices:
48.5
50.4
62.6
47.9
Answer: D
Question: A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability D that the sum of the three numbers on the balls selected from the box will be odd?
Choices:
3/8
1/2
5/8
3/4
Answer: B
Question: Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 6 hours to complete a legal research assignment. How many hours would it take a group of two legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
Source: Chili Hot GMAT
Choices:
8
9
6
5
Answer: A
Question: A block of wood has dimensions 10cm x 10cm x 100cm. The block is painted red and then cut evenly at the 50 cm mark, parallel to the sides, to form two rectangular solids of equal volume. What percentage of the surface area of each of the new solids is not painted red?
Choices:
4.5%
10.2%
12.5%
15.3%
Answer: A
Question: A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Choices:
665
630
645
628
Answer: A
Question: A man purchased 3 blankets @ Rs.200 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
200
300
400
500
Answer: B
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.80. What is the price of 2 doughnuts?
Choices:
$ 1.00
$ 1.10
$ 0.90
$ 1.80
Answer: C
Question: Johnny makes $8.25 per hour at his work. If he works 2 hours, how much money will he earn?
Choices:
$16.50
$28.50
$12
$9.60
Answer: A
Question: Find large number from below question The difference of two numbers is 1345. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1345
1678
1767
1611
Answer: D
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,840,397 minutes earlier? (Assume standard time in one location.)
Choices:
6:33
6:30
6:28
6:24
Answer: B
Question: Find the odd man out
3, 5, 12, 39, 154, 772, 4634
Choices:
39
5
3
12
Answer: A
Question: Find the missing figures : ?% of 25 = 20125
Choices:
6.5
2.5
7.5
8.5
Answer: D
Question: If a and b are integers and (a*b)^5 = 64y, y could be:
Choices:
16
64
128
256
Answer: A
Question: If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 160 pounds. What is Leo's current weight?
Choices:
86
92
98
104
Answer: B
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 140 pages?
Choices:
10 hours 30 mins
9 hours
7 hours
6 hours
Answer: A
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choices:
146
152
162
170
Answer: A
Question: 54671 - 18456 - 33466 = ?
Choices:
2749
6749
6449
6468
Answer: A
Question: TOM traveled the entire 20 miles trip. If he did the first 10miles of at a constant rate 12 miles per hour and the remaining trip of at a constant rate 10 miles per hour, what is the his average speed, in miles per hour?
Choices:
11.25 mph
10.95 mph
10.91 mph
10.56 mph
Answer: C
Question: If x^2 – x = 2, then one possible value of x – 4 =
Choices:
-5
-3
-1
5
Answer: A
Question: Train X and train Y pass one another traveling in opposite directions. Thirty minutes later they are 100 miles apart. If train X’s constant speed is 40 miles per hour greater than train Y’s, how far does train X travel during that time?
Choices:
40
60
72
80
Answer: B
Question: 7 points are marked on a straight line and another 4 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
Choices:
126
196
21
14
Answer: A
Question: Which of the following is not the square of an integer?
Choices:
385641
426437
532900
318096
Answer: B
Question: Two marathoners begin their training run on the river bank at the same time. Sally Slow runs due south at 5 miles/hour, while Freddy Fast runs due North at 10 miles/hour. At this pace, how long before they have run 26.2 miles away from each other?
Choices:
1.75 hours
1.5 hours
3 hours
2.92 hours
Answer: A
Question: A portion of the 95% solution of dye was replaced with an equal amount of 20% solution of dye. As a result, 40% solution of dye resulted. What part of the original dye was replaced?
Choices:
3/7
5/17
11/15
10/11
Answer: C
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 8 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
Choices:
48 kilometers per hour
51.7 kilometers per hour
75 kilometers per hour
100 kilometers per hour
Answer: B
Question: A clock store sold a certain clock to a collector for 15 percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at 45 percent of what the collector had paid. The shop then sold the clock again at a profit of 85 percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $80, for how much did the shop sell the clock the second time?
Choices:
$187.54
$158.74
$120.56
$200.84
Answer: B
Question: If we have 17 people in a meeting, in how many ways they can sit around a table?
Choices:
11*12!
12*13!
16*15!
18*17!
Answer: C
Question: John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?
Choices:
17 minutes.
5 minutes.
12 minutes.
6 minutes.
Answer: D
Question: What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for five years, compounding done annually?
Choices:
9687
9685
9682
12884
Answer: D
Question: How many points (x, y) lie on the line segment between (32, 12 2/3) and (7, 17 2/3) such that x and y are both integers?
Choices:
4
5
8
9
Answer: B
Question: The price of pulses has fallen by 25%. How many quintals can be bought for the same amount which was sufficient to buy 22 quintals at the higher price?
Choices:
22.5
29.3
28.5
32.5
Answer: B
Question: There are 10 women and 15 men in an office. In how many ways can a person can be selected?
Choices:
25
28
10
24
Answer: A
Question: For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 54 units per day, what is the value of n ?
Choices:
18
10
9
7
Answer: C
Question: If a/b = 1/2, b/c = 5, c/d = 2/3, d/e = 1/6 and e/f = 2/3, then what is the value of abc/def ?
Choices:
50/729
45/752
13/452
45/741
Answer: A
Question: A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number.
He was afraid of forgetting his PIN. He wrote down the number 127 in his diary to remember his PIN. He also wrote out the way to calculate 127 : "Multiply the card number by PIN. Divide the product by 997. The remainder is 127".
Once, Prafull saw his diary in which Pinaki wrote this number 127. Prafull did a lot of purchasing, as he now knows Pinaki's PIN. What is Pinaki's PIN?
Choices:
770
870
970
470
Answer: B
Question: In what time will a train 130 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
3.25
4.5
5.25
6.25
Answer: A
Question: A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 15 unsaleable mangoes in the crate then how msny mango are there in the crate?
Choices:
110 mangoes
120 mangoes
150 mangoes
125 mangoes
Answer: C
Question: One week, a certain truck rental lot had a total of 24 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Choices:
24
12
8
4
Answer: A
Question: A man saves Rs 350 at the end of each year and lends the money at 5% compound interest. How
much will it become at the end of 3 years.
Choices:
Rs 2262.01
Rs 1158.54
Rs 1662.54
None of these
Answer: B
Question: Larry, Michael, and Wilson have five donuts to share. If any one of the men can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed?
Choices:
21
120
504
5040
Answer: A
Question: What is the sum of the different positive prime factors of 1050?
Choices:
10
12
14
17
Answer: D
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?
Choices:
4
2
11
None
Answer: A
Question: For all even integers n, h(n) is defined to be the sum of the even integers between 2 and n, inclusive. What is the value of h(18)/h(10) ?
Choices:
3
6
18
60
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
72
25
82
27
Answer: B
Question: Kamal started a business investing Rs 9000. After five months, Sameer joined with a capital of Rs 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit ?
Choices:
Rs 2380
Rs 2280
Rs 2260
None of these
Answer: A
Question: Pipe A can fill a tank in 4 hours, pipe B in 8 hours and pipe C in 16 hours. If all the pipes are open, in how many hours will the tank be filled ?
Choices:
2 hours
3.5 hours
2.3 hours
None of these
Answer: C
Question: A train is moving at a speed of 132 km/hr. If the length of the train is 100 meters, how long will it take to cross a railway platform 120 meters long
Choices:
6 sec
8 sec
8 ½ sec
9 sec
Answer: A
Question: Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.2,70,000 earned at the end of 3 years from the start of the business in 1999?
Choices:
Rs 50000
Rs 90000
Rs 75000
None
Answer: B
Question: At a loading dock, each worker on the night crew loaded 2/3 as many boxes as each worker on the day crew. If the night crew has 5/6 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Choices:
7/12
8/13
9/14
11/15
Answer: C
Question: When positive integer N is divided by positive integer J, the remainder is 12. If N/J = 134.02, what is value of J?
Choices:
600
500
112
620
Answer: A
Question: A train running at the speed of 54 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
279
135
272
150
Answer: B
Question: Two quarts containing 2⁄3 water and 1⁄3 formula are mixed with three quarts containing 3⁄8 water and 5⁄8 formula. Approximately what percent of the combined five-quart mixture is water?
Choices:
45%
50%
55%
60%
Answer: B
Question: The letters of the word 'SUBITI' are written in all possible orders and these words are written in alphabetical order. Then what is the rank of the word 'SUBITI'
Choices:
- 245
- 237
- 315
- 275
Answer: B
Question: If xy=1, x/y=36, for positive numbers x and y, y=?
Choices:
2
1/3
3
1/6
Answer: D
Question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Choices:
4 days
3 days
6 days
9 days
Answer: A
Question: A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $864 in total compensation, how many total hours did he work that week?
Choices:
40
44
48
52
Answer: C
Question: Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Choices:
1800
2738
2778
1928
Answer: A
Question: A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?
Choices:
48 min. past 12.
28 min. past 12.
18 min. past 12.
42 min. past 12.
Answer: A
Question: Of the integers between 100 and 799, inclusive, how many do not have digit 3 and 6?
Choices:
520
410
420
320
Answer: D
Question: How many different ways can you select a pilot and a co pilot if you have 70 people to choose from?
Choices:
200
398
4830
9900
Answer: C
Question: During one year, the population of town increased by 5% . If the total population is 9975 at the end of the second year , then what was the population size in the beginning of the first year ?
Choices:
10000
90000
70000
120000
Answer: A
Question: A train passes a station platform in 48 sec and a man standing on the platform in 40 sec. If the speed of the train is 36 km/hr. What is the length of the platform?
Choices:
80
60
90
50
Answer: A
Question: How many odd, positive divisors does 520 have?
Choices:
6
12
15
24
Answer: A
Question: When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 41, what is the remainder when k is divided by 7?
Choices:
3
5
6
7
Answer: A
Question: The speed of a car is 90kmph. What is the speed in metres per second.
Choices:
25 m/s
35 m/s
28 m/s
27 m/s
Answer: A
Question: If a man walks 24 Km at 8 Kmph, he will be late by 25min. if he walks 12 Kmph, how early the fixed time Will he reach?
Choices:
25 minutes
40 minutes
35 minutes
20 minutes
Answer: C
Question: In how many different ways can the letters of the word 'DETAIL' be arranged such that the vowels must occupy only the odd positions?
Choices:
36
45
96
83
Answer: A
Question: 10 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
Choices:
5/2
5
4√2
none of these
Answer: A
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
60%
40%
64%
55%
Answer: C
Question: 4, 6, 12, 14, 28, 30, .. ?
Choices:
40
no=60
80
100
Answer: B
Question: A bag contains 11 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
Choices:
10/33
12/55
15/67
20/83
Answer: B
Question: Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is?
Choices:
15
19
21
26
Answer: A
Question: How many two digit numbers are there such that the product of their digits after reducing it to the smallest form is a prime number? for example if we take 98 then 9*8=72, 72=7*2=14, 14=1*4=4. Consider only 4 prime numbers (2,3,5,7)
Choices:
28
18
99
01
Answer: B
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
2669
2997
4200
2877
Answer: C
Question: Beginning in Town A, Biker Bob rides his bike 30 miles west, 6 miles north, 15 miles east, and then 18 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)
Choices:
25 miles
24 miles
28.3 miles
23 miles
Answer: C
Question: P and Q invested in a business. The profit earned was divided in the ratio 4 : 5. If P invested Rs 52000, the amount invested by Q is
Choices:
50000
40000
20000
65000
Answer: D
Question: If the price of an article went up by 60%, then by what percent should it be brought down to bring it back to its original price?
Choices:
37 1/2%
16 7/3%
16 6/3%
16 2/3%
Answer: A
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Choices:
20%
70%
28%
30%
Answer: A
Question: A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
7
8
5
Answer: A
Question: The ratio of Ajay’s and Balu’s ages is 4: 5. If the difference between the present age of Balu and the age of Ajay 5 years hence is 3 years, then what is the total of present ages of Ajay and Balu?
Choices:
72 years
76 years
64 years
74 years
Answer: A
Question: If a and b are each greater than x and y, which of the following must be true?
I. ab < xy
II.a + b > x + y
III. |a| + |b| > |x| + |y|
Choices:
II only
I and II
I and III
I, II and III
Answer: A
Question: How many even integers n, such that 20<=n<=240 are of the form 3k+4, where k is any natural number?
Choices:
33
35
37
39
Answer: C
Question: In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 4 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
1,250
2,500
10,000
Answer: A
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 3/7. What is the probability that they agree in stating the same fact?
Choices:
17/35
17/36
17/33
17/32
Answer: A
Question: Two trains 125 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.16
7.12
7.15
7.2
Answer: D
Question: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Choices:
Rs. 60, Rs. 90, Rs. 360
Rs. 60, Rs. 90, Rs. 368
Rs. 60, Rs. 90, Rs. 329
Rs. 60, Rs. 30, Rs. 329
Answer: A
Question: A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
Choices:
1897
8799
2000
2782
Answer: C
Question: Find the area of circle whose radius is 70m?
Choices:
23456
76766
16866
15400
Answer: D
Question: What is the least number which should be added to 2697 so that the sum is exactly divisible by 5, 6, 4, and 3?
Choices:
3
19
27
35
Answer: A
Question: A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in
Choices:
6days
7.5days
8.5days
9days
Answer: B
Question: If the range of the set of numbers {140, 90, 135, 110, 170, 145, x, 123, 136} is 110, which of the following could be x?
Choices:
50
60
70
80
Answer: B
Question: Due to construction, the speed limit along an 8-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:
5
10
15
24
Answer: A
Question: A train 300 m long passed a pole in 10 sec. How long will it take to pass a platform 600 m long?
Choices:
90
100
110
120
Answer: A
Question: If i equals the sum of the even integers from 2 to 200, inclusive, and k equals the sum of the even integers from 20 to 200, inclusive, what is the value of i - k?
Choices:
99
9
88
90
Answer: D
Question: If xy = 6 and x^2 + y^2 = 12, then x/y + y/x =
Choices:
2
5 1/3
7
60
Answer: A
Question: The length of the longest tape in cm which can be used to measure exactly, the length 7m; 3m 85cm; and 12m 95cm is:
Choices:
35
34
36
38
Answer: A
Question: A boat can move upstream at 32 kmph and downstream at 30 kmph, then the speed of the current is?
Choices:
9
1
9
5
Answer: B
Question: Calculate Ronald's average score in an exam if he obtained the following marks 51, 57, 68, 60 and 78 out of 100 in different subjects.
Choices:
67.8
62.8
61.8
60.8
Answer: B
Question: How many two-digit whole numbers yield a remainder of 1 when divided by 20 and also yield a remainder of 1 when divided by 5?
Choices:
One
Two
Three
Four
Answer: D
Question: What is the greatest positive integer x such that 2^x is a factor of 8^10?
Choices:
9
10
20
30
Answer: D
Question: If A is 25% greater than B then how much percentage is B smaller than A?
Choices:
20%
40%
50%
60%
Answer: A
Question: If a = 105 and a^3 = 21 × 25 × 45 × d, what is the value of d?
Choices:
42
45
49
54
Answer: C
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in?
Choices:
12 1/2 days
12 1/6 days
17 1/2 days
12 1/8 days
Answer: A
Question: The average weight of 5 students decreases by 4 kg when one of them weighing 92 kg is replaced by a new student. The weight of the student is
Choices:
60 kg
70 kg
72 kg
None of these
Answer: C
Question: A Shopkeeper divides an ice-cream brick in two halves, then cut one of the halves into several smaller portions of equal size. Each of the smaller portions weights 12 grams. The shopkeeper now has a total of 5 portions. How heavy was the original brick?
Choices:
96grams
98grams
99grams
95grams
Answer: A
Question: HCF of
22×32×52,24×34×53×11
is
Choices:
24×34×53×11
22×32×52
2×3×5
None of these
Answer: B
Question: What is the average (arithmetic mean) of all the multiples of ten from 10 to 200 inclusive?
Choices:
95
100
105
110
Answer: D
Question: Find the area of circle whose radius is 7m?
Choices:
154 sq m
145 sq m
167 sq m
180 sq m
Answer: A
Question: What is the number of integers from 1 to 1000 (inclusive) that are divisible by neither 11 nor by 34?
Choices:
890
892
910
945
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 5625 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
300 sq.units
367sq.units
178sq.units
176sq.units
Answer: A
Question: What is the probability that a 5 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains exactly 1 woman?
Choices:
55/204
11/77
308/1411
22/832
Answer: A
Question: Baker Tom is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
Choices:
300
252
225
210
Answer: D
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs. 1160
Rs. 1190
Rs. 1202
Rs. 1502
Answer: B
Question: The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 5 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Choices:
$109
$106
$111
$105
Answer: D
Question: Three candidates contested an election and received 936, 7636 and 19628 votes respectively. What percentage of the total votes did the winning candidate got
Choices:
56%
57%
58%
69.6%
Answer: D
Question: Company A has 13 employees, 8 of whom belong to the union. If 5 people work any one shift, and the union contract specifies that at least 5 union members work each shift, then how many different combinations of employees might work any given shift?
Choices:
231
336
350
406
Answer: B
Question: P can do piece of work in 30 days while Q alone can do it in 40 days. In how many days can P and Q working together do it?
Choices:
17 1/7
20 1/7
22 1/7
24 2/7
Answer: A
Question: If 1535/1038 = a +1/[b+1/{c+(d+1/e)}]. Find a*b*c*d*e?
Choices:
175/2
178/3
187 by 2
197/2
Answer: C
Question: In how many different number of ways 4 boys and 1 girls can sit on a bench?
Choices:
120
740
750
800
Answer: A
Question: An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:
Choices:
10.25%
10.5%
11 %
None of these
Answer: A
Question: In a given community, it is estimated that the overall population of white dogs is 50% more than the number of white male dogs. The total population of female dogs is 7 times the number of white female dogs. If the number of male and female dogs in the community is equal, what percentage of male dogs are white?
Choices:
28.6
56.1
15.1
30.1
Answer: A
Question: in how many ways seven letters between A & B be arranged from alphabets so that repetition is not allowed?
Choices:
24P7 * 2!
24P7 * 4!
24P7 * 5!
24P7 * 6!
Answer: A
Question: When positive integer N is divided by positive integer J, the remainder is 28. If N/J = 142.07, what is value of J?
Choices:
375
400
460
500
Answer: B
Question: What is the remainder when 7^498 is divided by 5 ?
Choices:
4
2
1
0
Answer: A
Question: A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture?
Choices:
9 : 1
3 : 17
5 : 3
11: 2
Answer: A
Question: We are required to form different words with the help of letters of the word INTEGER. Let m1 be the number of words in which I and N are never together and m2 be the number of words which begin with I and end with R, then what is the value if m1/m2?
Choices:
24
30
36
40
Answer: B
Question: In a group of 130 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Choices:
0.31
0.65
0.75
0.85
Answer: A
Question: A train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds. What is the length of the train in metres?
Choices:
750 m
200 m
800 m
300 m
Answer: B
Question: 50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what Q percent of the apartments with windows have hardwood floors?
Choices:
16 2/3
40
50
83 1/3
Answer: D
Question: 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Choices:
18
24
22
26
Answer: B
Question: How many integerskgreater than 100 and less than 900 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?
Choices:
60
70
80
90
Answer: B
Question: If B + L < B - L < L - B, which of the following is correct?
Choices:
B < L < 0.
B < 0 < L.
0 < B < A.
B > A > 0.
Answer: A
Question: 30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.
Choices:
11
12
13
14
Answer: B
Question: The product of two numbers is 1320 and their H.C.F is 6.The L.C.M of the numbers is
Choices:
220
1326
7920
None
Answer: A
Question: jaya two digits age when appended with the two digits age of amitabh the four digits number formed is a perfect square.what is the the sum of the four digits no.?
Choices:
7
8
9
10
Answer: A
Question: The average of runs of a cricket player of 10 innings was 33. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
Choices:
77
85
87
89
Answer: A
Question: The weights of three boys are in the ratio 4:5:6. If the sum of the weights of the heaviest and the lightest boy is 45 kg more than the weight of the third boy, what is the weight of the lightest boy?
Choices:
36 kg.
82 kg.
98 kg.
83 kg.
Answer: A
Question: If (A+B) = 16, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Choices:
10.
7.
2.
-2.
Answer: A
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 20% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
10°
18°
36°
52°
Answer: B
Question: If the price of a TV is first decreased by 20% and then increased by 45%, then the net change in the price will be :
Choices:
10% increase
10% decrease
16% increase
None of these
Answer: C
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Choices:
44%
45%
48%
50%
Answer: A
Question: City A to city B, Andrew drove for 1hr at 50 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Choices:
57.5
61
61.5
62.5
Answer: A
Question: The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area Q of that hemisphere?
Choices:
9/π
6
9
12
Answer: C
Question: On dividing 15 by a number, the quotient is 4 and the remainder is 3. Find the divisor?
Choices:
3
9
12
15
Answer: A