antoine-444/aqua_rat_dataset huggingface dataset:
Question: The average of 10 numbers is calculated as 46. It is discovered later on that while calculating the average, the number 65 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
Choices:
50
54
66
86
Answer: A
Question: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Choices:
28 1/7 min
17 1/7 min
17 1/8 min
17 5/7 min
Answer: B
Question: The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
Choices:
4
6
7
8
Answer: A
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Choices:
750
262
231
123
Answer: A
Question: If a can complete a work in x days and b can complete a work in y days. In how many days that they will work together simultaneously?
Choices:
xy/(x+y)
1/xy
xy
x+y
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
6 km/hr
8 km/hr
12 km/hr
Answer: A
Question: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: The first flight out of Phoenix airport had a late departure. If the next three flights departed on-time, how many subsequent flights need to depart from Phoenix on-time, for the airport's on-time departure rate to be higher than 80%?
I will see what is the quickest way to solve it then I will provide the explanation
Choices:
6
9
10
11
Answer: A
Question: The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
Choices:
4000
5000
1000
5500
Answer: A
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
1/3
1/9
1/2
1/4
Answer: A
Question: Tina’s cat weighs 2.6 kilograms. Her dog weighs 4 times as much as her cat. How much does her dog weigh in kilograms?
Choices:
10.4kg
22kg
48kg
20kg
Answer: A
Question: Which of the following numbers is the biggest => [-4/7 , -7/8 , -9/10 , -12/13 , -34/35]
Choices:
A)-4/7
C)-9/10
D)-12/13
E)-34/35
Answer: A
Question: 3 pumps, working 8 hours a day, can empty a tank in 2 days . how many hours a day must 4 pumps work to empty the tank in 1 day?
Choices:
10
11
12
13
Answer: C
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 103, what is the value of x?
Choices:
97
101
85
87
Answer: B
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 6 children have two children of the same sex and one of the opposite sex?
Choices:
2/3
1/4
3/16
3/5
Answer: C
Question: Walking at 70% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
Choices:
36
42
48
56
Answer: D
Question: Twelve identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by three days?
Choices:
3
4
6
9
Answer: C
Question: The security gate at a storage facility requires a five-digit lock code. If the lock code must consist only of digits from 1 through 6, inclusive, with no repeated digits, and the first and last digits of the code must be even, how many lock codes are possible?
Choices:
144
360
720
1440
Answer: A
Question: It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Choices:
Saturday
Friday
Wednesday
None
Answer: B
Question: Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes?
Choices:
16789
17576
35142
None of these
Answer: B
Question: There are cats got together and decided to kill the mice of 999984. Each cat kills equal number of mice and each cat kills more number of mice than cats there were. Then what are the number of cats?
Choices:
991,1001
996,1004
791,1009
931,1009
Answer: B
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 45 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
279
270
278
379
Answer: B
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
1/7
2/4
2/3
1/3
Answer: D
Question: A can do a piece of work in 4 days. B can do it in 8 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20 days
8 days
19 days
36 days
Answer: B
Question: A soccer team plays games only against the other five teams in its league and always in the following order: Gary, Howard, Robin, Fred and Jackie. If the team’s final game of the season is against Fred, which of the following could be the number of games in the team’s schedule?
Choices:
24
56
72
81
Answer: A
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is?
Choices:
7/12
7/19
7/11
7/15
Answer: D
Question: The standard serial numbers for medical licence are 3 letters followed by 5 digits. How many different medical licenses are possible if letters and digits can be repeated?
Choices:
26³ × 10 000
26³ x 100 000
26 × 25 × 24 × 10 × 9 × 8 × 7
26³ × 10 000 x 15
Answer: B
Question: Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7740 km and comes back to the starting point. The total time taken by him is:
Choices:
900 hours
915 hours
982.9 hours
915 hours
Answer: C
Question: The average of 10 numbers was calculated as 18. It is discovered later on that while calculating the average, one number, namely 66, was incorrectly read as 26. What is the correct average?
Choices:
21
22
23
24
Answer: B
Question: How many positive integers less than 90 are multiples of 6 but NOT multiples of 9?
Choices:
6
8
10
12
Answer: C
Question: If |z|/w = 4,which of the following must be true?
Choices:
z = 4w
z^2 = 16w^2
z^2 = 16w^3
z^3 = 64w^3
Answer: B
Question: A total of 50 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
Choices:
1/4
2/3
7/8
8/7
Answer: A
Question: 2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 32 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
Choices:
24 km/hr
17 km/hr
18.75 km/hr
None of these
Answer: A
Question: A train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train?
Choices:
14
16
18
20
Answer: C
Question: For all integers a and b, a%b = (a + b)(a - b). If 4%x = 12, then which of the following could be a value of x?
Choices:
-3
2
3
6
Answer: B
Question: A man is 24 years older than his son. In three years, his age will be twice the age of his son. The present age of the son is
Choices:
18 years
20 years
21 years
None
Answer: C
Question: Kiran has 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs.5000. How much amount did she have in the denomination of Rs. 50?
Choices:
3500
4000
4200
4450
Answer: A
Question: In a bag there are a certain number of red balls and blue balls. The probability of picking up exactly 1 blue ball when 2 balls are randomly drawn, is 1/2. Which of the following is the ratio of the number of red balls to blue balls in the bag
Choices:
1:6
1:4
1:46
1:1
Answer: D
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 6000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
s. 400
s. 600
s. 750
s. 850
Answer: C
Question: The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?
Choices:
32
19
77
99
Answer: A
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 18. By how much do the two digits differ?
Choices:
2
5
6
7
Answer: A
Question: In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 40 fish were caught again, of which 2 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`s the approximate number of fish in the pond?
Choices:
800
1250
2500
10 000
Answer: A
Question: What is the cost of leveling the field in the form of parallelogram at the rate of Rs.40/10 sq.metre, whose base & perpendicular distance from the other side being 24m & 34m respectively?
Choices:
s. 630
s. 640
s. 648
s. 816
Answer: D
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
350
27
200
881
Answer: A
Question: There are 12 students in a class. On the day the test was given, Ella was absent. The other 11 students took the test and their average was 74. The next day, Ella took the test, and with this grade included, the new average was 75. What was Ella's grade on the test?
Choices:
83
84
85
86
Answer: D
Question: At a casino in Mumbai, there are 3 tables A, B and C. The payoffs at A is 10 : 1, at B is 20 : 1 and C is 30 :1. If a man bets Rs. 200 at each table and win at two of the tables, what is the maximum and minimum difference between his earnings can be ?
Choices:
Rs. 4000
Rs. 2500
Rs. 2000
None of these
Answer: A
Question: Can you find the smallest non fractional number such that
If the number gets divided by 3 , we get the remainder of 1;
If the number gets divided by 4 , we get the remainder of 2
If the number gets divided by 5 , we get the remainder of 3;
If the number gets divided by 6 , we get the remainder of 4.
Choices:
60
58
44
72
Answer: B
Question: A car is traveling 45 kilometers per hour. How many meters does the car travel in one minute?
Choices:
750 meters / minute
950 meters / minute
550 meters / minute
650 meters / minute
Answer: A
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
140 sq.units
178 sq.units
189 sq.units
678 sq.units
Answer: A
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Choices:
1440 ways
1657 ways
1652 ways
6745 ways
Answer: A
Question: A worker can load one truck in 5 hours. A second worker can load the same truck in 4 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
Choices:
2.0
2.2
2.4
2.6
Answer: B
Question: Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
Choices:
1/3
1/4
1/2
1/9
Answer: A
Question: The arithmetic mean of the set S = {5, K, 4, 10, M, 5} is 6. If K and M are integers, and K ≠ M, what is the median of the numbers in the set?
Choices:
4.5
5
5.5
6
Answer: B
Question: An ice cream store received shipments of ingredients on Tuesday and Wednesday. Tuesday's shipment had 6 different packages, with an average (arithmetic mean) of 11 and 2/3 pounds. Wednesday's shipment included 14 packages, weighing an average of 9 and 3/7 pounds. What was the average package weight, in pounds, of the shipments received on both days?
Choices:
10 and 1/10 pounds
10 and 2/5 pounds
11 pounds
11 and 1/7 pounds
Answer: A
Question: The area of the largest circle that can be drawn inside a square of side 42 Cm in length is:
Choices:
1428
1420
1356
1386
Answer: D
Question: Six computers, each working at the same constant rate, together can process a certain amount of data in 6 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 4 days?
Choices:
3
6
9
12
Answer: A
Question: he ratio between the sale price and the cost price of an article is 5:1. What is the ratio between the profit and the cost price of that article?
Choices:
2:9
2:4
2:1
2:5
Answer: C
Question: Maggie has to buy 50 toys from a toy shop. She buys 13 hoola hoops, 15 beach balls, and 12 baseball bats. What percentage of Toys has she not bought ?
Choices:
34 %
30 %
20 %
38 %
Answer: C
Question: 20 men can dig a tunnel in 30 days. If after 10 days, 20 more men are deployed to dig the tunnel, how many more days it will take to dig the whole tunnel?
Choices:
10
20
25
30
Answer: A
Question: A car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
26
28
30
32
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent?
Choices:
30%
23%
74%
83%
Answer: A
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Choices:
18 hours
14 hours
19 hours
16 hours
Answer: B
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28
22
20
30
Answer: A
Question: In a certain town, there are six times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is
Choices:
1 to 3
1 to 2
3 to 4
6 to 7
Answer: D
Question: The simple form of the ratio 7/6:2/5 is?
Choices:
10:3
15:3
25:3
35:12
Answer: D
Question: A bus can hold 60 passengers. If there are 12 rows of seats on the bus, how many seats are in each row?
Choices:
5
3
2
12
Answer: A
Question: If John invested $ 1 at 4 percent interest compounded annually, the total value of the investment, in dollars, at the end of 5 years would be
Choices:
(1.04)^5
(1.05)^4
1 + (0.05)^4
1 + 4(0.05)
Answer: A
Question: Marco rode his dirt bike at 35 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 30mph, what was his average speed over the three hour portion of his ride?
Choices:
20 mph
70/3 mph
80/3 mph
34 mph
Answer: C
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2574?
Choices:
2669
2200
2766
2600
Answer: D
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Choices:
5:71
5:19
5:17
5:16
Answer: D
Question: Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of two hammers and three wrenches is one-third that of 8 hammers and 4 wrenches, then the total weight of one wrench is how many times that of one hammer?
Choices:
2/5
1
3/2
2
Answer: A
Question: At a certain conference, 70% of the attendees registered at least
two weeks in advance and paid their conference fee in full. If
10% of the attendees who paid their conference fee in full did
not register at least two weeks in advance, what percent of
conference attendees registered at least two weeks in
advance?
Choices:
62.0%
77.76%
80.0%
82.0%
Answer: B
Question: A credit card company has a cash back option for their customers which is based on the annual amount that they charge on their credit cards. The customer receives 1% cash on their first $5000 of purchase, 2% on the next $5000 of purchase and a 3% on cash back on portion that exceeds $10,000. If a customer receives a cash back of 2.5% on their total annual charges made on the credit card, then what was the customer's annual charge?
Choices:
$26,000
$28,000
$30,000
$32,000
Answer: C
Question: A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day at 1 mile faster than 2nd day for same hours. How many miles in total did she walk?
Choices:
63
58
60
62
Answer: A
Question: A reduction of 10% in the price of oil enables a house wife to obtain 6kgs more for Rs.900, what is the reduced price for kg?
Choices:
15
25
17
19
Answer: A
Question: Given that x = 2^b – (8^31 + 16^5), which of the following values for b yields the lowest value for |x|?
Choices:
92
93
94
113
Answer: B
Question: In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?
Choices:
48% of the total members own only one car each.
60% of the total members own at least two cars each.
80% of the total members own at least one car.
None of these
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:
Rs.1500
Rs.2000
Rs.3000
Rs.3500
Answer: B
Question: John was born 8 years after his father's marriage. His mother is 4 years younger than his father but 25 years older than John who is 15 years old. At what age did the father get married ?
Choices:
20 years
22 years
24 years
21 years
Answer: D
Question: A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
Choices:
3.34
3.34
6.32
3.31
Answer: A
Question: A person walks from one end to the other of a 100-meter long moving walkway at a constant rate in 50 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Choices:
66
69
72
75
Answer: D
Question: You make a cube that is made of 10 x 10 x 10 smaller cubes which sums up to a total of 1000 smaller cubes.
Now, if someone takes one layer of cubes, how many will remain?
Choices:
834
500
512
216
Answer: C
Question: Two equal sums of money were invested, one at 4% and the other at 4.5%. At the end of 7 years, the simple interest received from the latter exceeded to that received from the former by 31.50. Each sum was :
Choices:
600
750
900
None of these
Answer: C
Question: A student must answer 6 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 6 questions are available to the student?
Choices:
200
210
170
180
Answer: A
Question: Suppose 12 monkeys take 12 minutes to eat 12 bananas. How many monkeys would it take to eat 72 bananas in 72 minutes?
Choices:
10
11
12
13
Answer: C
Question: A shipment of 8 TV sets contains 4 black and white sets and 4 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
Choices:
11/14
5/14
11/28
13/28
Answer: A
Question: If x and y are integers and x + y = 3, which of the following must be true?
Choices:
If x < 0, then y > 0.
If x > 0, then y < 0.
Both x and y are even.
Both x and y are less than 5.
Answer: A
Question: What is the 4 digit number whose second digit is thrice the first digit and 3rd digit is sum of 1st and 2nd and last digit is thrice the second digit.
Choices:
1349
3343
3678
3679
Answer: A
Question: Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 250 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Choices:
750
400
480
600
Answer: A
Question: Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 66 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 3 at its maximum rate ?
Choices:
6hrs, 32mins
7hrs, 12mins
13hrs, 4mins
7hrs, 42mins
Answer: D
Question: For any non-zero a and b that satisfy |ab| = ab and |a| = -a
|b + 4| + |ab - b| = ?
Choices:
b) 2b - a - 4
c) ab - 2b - 4
d) ab - 2b + 4
e) 4 - ab
Answer: B
Question: A can finish a piece of work in 5 days. B can do it in 10 days. They work together for two days and then A goes away. In how many days will B finish the work?
Choices:
4
6
7
8
Answer: A
Question: Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
12%
13%
Answer: A
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 240. Find the sum?
Choices:
7029
2778
2800
2000
Answer: D
Question: The workforce of Company nokia is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 50%.How many employees did the company have after hiring the additional male workers?
Choices:
135
150
145
140
Answer: C
Question: For a lottery, three numbers are drawn, each from 1 to 40. A player can win if the product of his or her three numbers is odd. Initially, the same number may be picked up to three times. Later, the rules are changed so that each number may only be picked once. Approximately how much does this reduce a person's probability of winning?
Choices:
01
115
125
5
Answer: A
Question: In a car company, the company made A type cars numbering 20% of B type cars. What is the number of B type of cars as a percentage of A type cars?
Choices:
5%
8%
16%
12%
Answer: A
Question: If 2^(2w) = 8^(w−1), what is the value of w?
Choices:
3
9
12
15
Answer: A
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:
4 : 3
6 : 7
9 : 16
9 : 14
Answer: A
Question: The jogging track in a sports complex is 528 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
Choices:
3.84 min
5.08 min
9.28 min
5.988 min
Answer: A
Question: There are three guys who have equal number of bullets. All of them shoot 8 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
Choices:
19
27
31
36
Answer: D
Question: In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 10 inches. Find the % correction made by the candidate from his stated height to his actual height?
Choices:
20
17.5
43
50
Answer: B
Question: The length of the bridge, which a train 155 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Choices:
220 m
245 m
250 m
270 m
Answer: A
Question: If x = -14/17 and y = -11/3, what is the value of the expression -2x – y^2?
Choices:
1456/514
1364/153
153/1805
-1805/153
Answer: D
Question: If (6)(x^2) has four different prime factors, at most how many different prime factors does x have?
Choices:
2
3
4
5
Answer: C
Question: In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7000, the number of valid votes that the other candidate got, was:
Choices:
2700
2900
2200
2520
Answer: D
Question: The average age of 20 men in the class is 16.6 years. Five new men join and the new average becomes 15.56 years. What was the average age of five new men?
Choices:
15.4
15.25
15.3
11.4
Answer: D
Question: In the formula P = 3/(r+3)^3, if r is halved, then P is multiplied by
Choices:
125/64
1/64
64/125
1/125
Answer: A
Question: If a 3-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible?
Choices:
18
84
108
216
Answer: B
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
Rs. 16,525.50
Rs. 16,537.50
Rs. 18,150
Rs. 19,150
Answer: B
Question: 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
Choices:
0.01 < x < 0.1
0.001 < x < 0.01
0.0001 < x < 0.001
0.00001 < x < 0.0001
Answer: D
Question: A train covers a distance at a speed of 150kmph in 3 hours. To cover the same distance in 1 hours, it must travel at a speed of?
Choices:
250
560
400
450
Answer: D
Question: Two trains X and Y (80 km from each other) are running towards each other on the same track with a speed of 40km/hr. A bird starts from the train X and travels towards train Y with constant speed of 100km/hr. Once it reaches train Y, it turns and starts moving toward train X. It does this till the two trains collides with each other. Find the total distance traveled by the bird?
Choices:
100
240
232
221
Answer: A
Question: A local bank that has 18 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 18 codes?
Choices:
4
5
6
18( 5 integers 25 codes
Answer: D
Question: For what value of â€œkâ€ will the equation (2kx2 + 7kx +2)=0 have equal roots?
Choices:
16/49
16/25
7/1
7/2
Answer: A
Question: A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 110 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?
Choices:
3 hours, 350 miles
4 hours, 450 miles
5 hours, 550 miles
8 hours, 850 miles
Answer: D
Question: Ed throws a blue die and a red die. How many combinations are there in which the two dice do not yield the same result and the sum of the results is not 9?
Choices:
24
26
30
36
Answer: B
Question: A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
Choices:
5
7
8
2
Answer: A
Question: A goods train runs at the speed of 72 kmph and crosses a 280 m long platform in 26 seconds. What is the length of the goods train?
Choices:
270m
240m
832m
270m
Answer: B
Question: In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?
Choices:
8000
2869
2790
2760
Answer: A
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 10kmph and the other is going towards south 25kmph. What time will they take to be 50km apart?
Choices:
1.42hr
3.24hrs
5hrs
6.02hrs
Answer: A
Question: A started a business with 4500 and another person B joined after some period with 3000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2 : 1
Choices:
After 3 months
After 6 month
After 2 1⁄2 months
None of these
Answer: A
Question: If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =
Choices:
2310
4620
30030
60060
Answer: A
Question: Naomi was ordering yarn from a discount web site. If she ordered more than $50 worth of
yarn labeled “discountable”, she could take an extra 10% from the price of that yarn. Only
some of the yarn she ordered was eligible for the discount. Here is what Naomi ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%. How much did Naomi pay for her yarn?
Choices:
$116.64
$316.64
$416.64
$516.64
Answer: A
Question: A rectangular tiled patio is composed of 50 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 50 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
Choices:
6
10
13
28
Answer: A
Question: How many ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choices:
240
360
540
720
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
22/7 sec
20/7 sec
20/2 sec
30/7 sec
Answer: B
Question: A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
Choices:
8%
3%
6%
1%
Answer: C
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ?
Choices:
Rs.228
Rs.900
Rs.287
Rs.921
Answer: B
Question: Rabin has 3 cows in his farm. If he he decide to arrange the cows in every possible combination and moved just one cow every 5 minute, how long would it taken by him ?
Choices:
15 minutes
40 minutes
10 minutes
30 minutes
Answer: D
Question: A rainstorm increased the amount of water stored in State J reservoirs from 160 billion gallons to 200 billion gallons. If the storm increased the amount of water in the reservoirs to 50 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Choices:
240
260
270
300
Answer: A
Question: A courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is
Choices:
18000
20000
22000
24000
Answer: B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 100 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 2 units?
Choices:
158 sq.units
8 sq.units
607 sq.units
815 sq.units
Answer: B
Question: If the wheel is 18 cm then the number of revolutions to cover a distance of 1056 cm is?
Choices:
26
14
12
9.3
Answer: D
Question: Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if j percent of the newspapers that the store sold were copies of Newspaper A, which of the following expresses r in terms of j?
Choices:
150p / (250 - p)
300p / (375 - p)
400j / (500 - j)
500p / (625 - p)
Answer: C
Question: A boat can move upstream at 14 kmph and downstream at 18 kmph, then the speed of the current is?
Choices:
6
8
4
2
Answer: D
Question: The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Choices:
40 years
50 years
60 years
None of these
Answer: A
Question: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Choices:
27
29
26
25
Answer: A
Question: In how many years does a sum of Rs. 5000 yield a simple interest of Rs. 14500 at 15% p.a.?
Choices:
19.33 years
17.33 years
16.33 years
15.33 years
Answer: A
Question: A playstation is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Choices:
19%
21.2%
21.81%
22.07%
Answer: C
Question: 2+2^2+2^+......+2^9=?
Choices:
1022
1056
1065
None of them
Answer: A
Question: 40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 3 like all. How many people like apple?
Choices:
46
54
58
62
Answer: A
Question: Andy solves problems 74 to 135 inclusive in a Math exercise. How many problems does he solve?
Choices:
62
51
50
49
Answer: A
Question: An woman swims downstream 64 km and upstream 24 km taking 8 hours each time; what is the speed of the current?
Choices:
1.8
3.5
1.5
2.5
Answer: D
Question: The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
Choices:
19%
15%
12%
24%
Answer: C
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
4
5
2
9
Answer: A
Question: In a 1000 m race, A beats B by 50 m and B beats C by 20 m. In the same race, by how many meters does A beat C?
Choices:
A)69m
C)822m
D)929m
E)132mj
Answer: A
Question: A horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long. Over how much area of the field can it graze?
Choices:
113 m2
123 m2
115 m2
None of these
Answer: A
Question: If x and y are positive integers and 12x=21y what is the least possible value of xy?
Choices:
9
63
84
252
Answer: A
Question: Average of five numbers is 9, and the sum of three of the numbers is 30, what is the average of the other 2 numbers?
Choices:
15.5
8.5
7.5
3.5
Answer: C
Question: In a survey of 340 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Choices:
8/41
39/68
1/8
41/91
Answer: B
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Choices:
1/26
1/87
1/17
1/12
Answer: A
Question: A table is bought for Rs.600/- and sold at a loss of 8% find its selling price
Choices:
s.552/-
s.540/-
s.600/-
s.700/-
Answer: A
Question: 19 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
Choices:
87
38
99
77
Answer: B
Question: If 40 honey bees make 40 grams of honey in 40 days, then 1 honey bee will make 1 gram of honey in how many days?
Choices:
3.5
40
49
30
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:
4:3
4:9
4:4
4:2
Answer: A
Question: If s is the product of the integers from 50 to 60 inclusive, and if t is the product of the integers from 50 to 61 inclusive, what is 1/s + 1/t in terms of t?
Choices:
42/t
52/t
62/t
72/t
Answer: C
Question: By selling 20 pencils for a rupee a man loses 35%. How many for a rupee should he sell in order to gain 30%?
Choices:
9
6
14
10
Answer: D
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:
80/13 hours
30/13 hours
30/19 hours
32/13 hours
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
Choices:
21
92
12
25
Answer: D
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
546
258
277
Answer: A
Question: I bought two books; for Rs.360. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
210
189
278
268
Answer: A
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?
Choices:
1/3
1/5
1/2
1/1
Answer: B
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Choices:
41,32
42,33
43,34
35,36
Answer: B
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
Choices:
2420 m^2
2520 m^2
2640 m^2
2750 m^2
Answer: B
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Choices:
3:4
3:2
3:1
3:7
Answer: C
Question: If x is an integer, then x(x - 1)(x - n) must be evenly divisible by three when n is any of the following values EXCEPT
Choices:
-2
-1
2
5
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 7.5cm and breadth 6.5 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
Choices:
10.27
10.23
10.21
10.25
Answer: C
Question: A group of 7 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
Choices:
x/35
3x/70
3x/10
3x/7
Answer: B
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
Choices:
7/14
7/98
7/18
7/15
Answer: D
Question: At what rate percent on simple interest will Rs.1750 amount to Rs.2000 in 4 years?
Choices:
3.57 %
2 6/7 %
5 %
6 %
Answer: A
Question: The largest 4 digit number exactly divisible by 55 is?
Choices:
9939
9944
9955
9960
Answer: C
Question: x is the product of each integer from 1 to 50, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?
Choices:
5
6
10
12
Answer: B
Question: The least number which should be added to 3218 so that the sum is exactly divisible by 5, 6, 4 and 3 is?
Choices:
20
30
40
50
Answer: A
Question: A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract providing for an annual salary of $120,000 in the first year, an increase in annual salary of 10% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?
Choices:
$16,800
$82,500
$92,000
$100,000
Answer: A
Question: 385, 462, 572, 396, 424, 671, 264
Choices:
424
671
264
None of these
Answer: A
Question: Three coworkers P , H , R meet for Dinner. P had 5 sandwiches, H had 3 and R had none. Both PH share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PH, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
Choices:
b) 3 $
c) 7 $
d) 4 $
e) 5.5 $
Answer: B
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 30 pints of Perfect Pink paint?
Choices:
16
15
25 1/3
28 1/2
Answer: B
Question: Awordis defined as a sequence of Four dots arranged in a row. Each dot is colored either yellow or blue. How many distinct words can be formed?
Choices:
15
16
18
19
Answer: B
Question: Find the total no. of distinct bike no.'s that can be formedusing 2 letters followed by 2 no.'s. How manyletters need to be distinct?
Choices:
49653
57900
65000
70046
Answer: C
Question: During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 5 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount?
Choices:
107%
116.7%
120%
140%
Answer: A
Question: One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 2,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
Rs. 50,000
Rs. 60,000
Rs. 100,000
None
Answer: C
Question: A shopkeeper sold an article at $1050 and gained a 20% profit. What was the cost price?
Choices:
$845
$855
$865
$875
Answer: D
Question: In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?
Choices:
1680
240
250
260
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
85000
50000
75000
60000
Answer: D
Question: 5 cats can catch 5 mice in 5 minutes. How many cats does it take to catch 100 mice in 100 minutes?
Choices:
2
3
4
5
Answer: D
Question: Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.80, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
Choices:
9
5
6
7
Answer: A
Question: If n ≠ 0, which of the following could be less than n?
I. 2n
II. n^2
III. 2 - n
Choices:
II only
I and II only
I and III only
None
Answer: C
Question: Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.40 at the candy store. What is this student’s weekly allowance?
Choices:
$1.50
$1.80
$2.00
$2.50
Answer: A
Question: Due to construction, the speed limit along an 15-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:
8
9.36
15
24
Answer: B
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:
3
2
5
6
Answer: A
Question: In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Choices:
7
8
6
51
Answer: A
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is
Choices:
13
11
15
17
Answer: B
Question: If 4 men working 10 hours a day earn Rs. 800 per week, then 9 men working 6 hours a day will earn how much per week?
Choices:
Rs 1320
Rs 1080
Rs 1680
None of these
Answer: B
Question: Three pipes of same capacity A,B,C can fill a tank in 14 hours. If there are only two pipes C and A of same capacity, the tank can be filled in?
Choices:
12
28
42
21
Answer: D
Question: In one hour, a boat goes 4 km/hr along the stream and 2 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
3 km/hr
5 km/hr
6 km/hr
8 km/hr
Answer: A
Question: It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 220 cubic metres in 10 minutes. The inner radius of the pipe should be :
Choices:
2 m
1 m
1⁄√2 m
None of these
Answer: B
Question: A = {2, 3, 5, 7, 15}
B = {2, 4, 6, 13}
Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Choices:
16
19
20
36
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
287
267
270
Answer: A
Question: n what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
7
8
6
9
Answer: C
Question: If the product of the integers w, x, y and z is 840, and if 1 < w < x < y < z, what is the value of w + z?
Choices:
11
16
18
21
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 44, the dividend is:
Choices:
4884
5342
5345
5356
Answer: A
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 20,000 km and just to make the most of all the tyres, he changes the tyres between his journey such that each tyre runs the same distance.
What is the distance traveled by each tyre?
Choices:
60,000
80,000
96,000
10,000
Answer: C
Question: If a person walks at 20 km/hr instead of 10 km/hr, he would have walked 40 km more. The actual distance traveled by him is?
Choices:
40 km
18 km
16 km
97 km
Answer: A
Question: If a man lost 10% by selling oranges at the rate of 10 a rupee at how many a rupee must he sell them to gain 50%?
Choices:
6
7
4
2
Answer: A
Question: Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 56 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 2 at its maximum rate ?
Choices:
3hrs, 16mins
7hrs, 12mins
13hrs, 4mins
14hrs, 24mins
Answer: A