antoine-444/aqua_rat_dataset huggingface dataset:
Question: Kiran had 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 note was Rs.5000.how much amount did she have in the denomination of Rs.50?
Choices:
3500
2500
4500
None of them
Answer: A
Question: Cost is expressed by the formula tb^4. If b is doubled, the new cost is what percent of the original cost?
Choices:
600
800
1600
50
Answer: C
Question: The function g(a) is defined for integers a such that if a is even, g(a) = a/2 and if a is odd, g(a) = a + 5. Given that g(g(g(g(g(a))))) = 19, how many possible values for a would satisfy this equation?
Choices:
5
7
8
11
Answer: C
Question: Sum of three numbers 275, If the first number be twice then second and third number be one third of the first, then the second number is
Choices:
B)71
C)72
D)73
E)75
Answer: D
Question: 125^n divides 325^325
Choices:
216
218
219
220
Answer: A
Question: In 1 hour, a boat goes 6 km along the stream and 12 km against the stream. The speed of the boat in still water (in km/hr) is :
Choices:
2 km/hr.
6 km/hr.
8 km/hr.
9 km/hr.
Answer: D
Question: Machine P and Machine Q are each used to manufacture 110 sprockets. It takes Machine P 10 hours longer to produce 110 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
15
55
95
1
Answer: D
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ?
Choices:
4
5
6
7
Answer: A
Question: If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Choices:
25 kg
72 kg
88 kg
92 kg
Answer: B
Question: If 0.60: x : : 6 : 4, then x is equal to
Choices:
0.4
0.82
0.8
None
Answer: A
Question: When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/7 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?
Choices:
2/5
1/2
2/3
6/5
Answer: A
Question: A teacher prepares a test. She gives 9 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 6 questions have 3 choices and the last 3 have 4 choices.
Choices:
7632
7192
7100
7144
Answer: A
Question: The population of a bacteria colony doubles every day. If it was started 10 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choices:
768
1024
2048
4096
Answer: C
Question: The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choices:
3
4
8
10
Answer: B
Question: Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 20 miles long,how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.)
Choices:
45 mph
48 mph
52 mph
40 mph
Answer: D
Question: The cost of registration at a professional association meeting was $50 per person; a lunch for registrants only was available for an additional $22 per person. If the number of registrants who paid for lunch was 40 more than the number who did not, and if receipts for registration and lunch totaled $39,480, how many people paid just for registration at the meeting?
Choices:
800
300
1,500
1,800
Answer: B
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
500 m
360 m
489 m
Answer: A
Question: If the area of a circle is 64pi square feet, find its circumference.
Choices:
16 pi feet
38 pi feet
48 pi feet
58 pi feet
Answer: A
Question: George baked a total of 75 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
Choices:
4
2
6
7
Answer: B
Question: A wheel has a diameter of x inches and a second wheel has a diameter of y inches. The second wheel covers a distance of d feet in 400 revolutions. How many revolutions does the first wheel make in covering d feet?
Choices:
400y - x
400x - y
400y/x
400x/y
Answer: D
Question: One half of the people at the game wore the team colors. Two thirds of those people wore team
hats as well. One fourth of those with team colors and team hats had banners to wave.
Twenty five people had team colors and banners, but no hats. One hundred people had only
banners. If there were 1824 people at the game, how many had banners?
Choices:
277
377
477
577
Answer: A
Question: Dany bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Choices:
10
7
8
12
Answer: C
Question: 36 men can complete a piece of work in 18 days.In how days will 27 men can complete the work?
Choices:
20
17
24
21
Answer: C
Question: Kunal electronic services assemble computers. Over a period of time the engineers made the following observation regarding the two vital components - the USB port and CD drive. The probability that USB port is defective is 0.1, that both the USB port and CD drive are defective is 0.02, while the probability that only the CD drive is defective is 0.03 . The probability that the USB port is defective when the CD drive has been found to be defective is?
Choices:
0.3
0.25
0.4
0.6
Answer: C
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 4
Choices:
7/12
5/13
5/12
1/3
Answer: D
Question: At an elementary school, 70% of the faculty members are women and 60% of the faculty members are married. If 2⁄3 of the men are single, what fraction of the men are married?
Choices:
7⁄10
1⁄3
7⁄30
5⁄70
Answer: B
Question: Find out the wrong number in the series.
6, 12, 48, 94, 384, 768, 3072
Choices:
384
94
488
12
Answer: B
Question: A team bought a total of 472 balls. If each player on the team bought at least 19 balls, then what is the greatest possible number of players on the team?
Choices:
22
23
24
25
Answer: C
Question: What percent of 12.4 kg is 20 gms ?
Choices:
16
18
19
17
Answer: A
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
100
1000
10000
None of these
Answer: B
Question: Of the following, which is greater than Â½ ?
Indicate ALL such fractions.
Choices:
4/7
4/2
4/1
4/8
Answer: A
Question: Find the simple interest on Rs.350 for 10 months at 5 paisa per month?
Choices:
175
288
266
121
Answer: A
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers?
Choices:
86
56
45
17
Answer: A
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 620 m?
Choices:
99 sec
89 sec
86 sec
85 sec
Answer: C
Question: How many integers between 1 and 1,400 are divisible by 25, and 35?
Choices:
5
6
7
8
Answer: D
Question: A cistern 8 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface?
Choices:
48
54
62
76
Answer: C
Question: Anand and Deepak started a business investing Rs. 21,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is?
Choices:
2888
8625
2885
2781
Answer: B
Question: A coin is tossed six times. What is the probability that there is at the least one tail?
Choices:
63/64
31/67
31/64
63/31
Answer: A
Question: Camel and carriage for Rs. 5000. He SP the camel at a gain of 20% and the carriage at a loss of 10%. If he gains 3% on the whole, then find the CP of the camel?
Choices:
Rs.2166.67
Rs.2188
Rs.2200
Rs.2234.7
Answer: A
Question: A 60 kg metal bar made of alloy of tin and silver lost 6 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?
Choices:
2/5
1/2
3/5
2/3
Answer: D
Question: A contractor undertakes to built a walls in 50 days. He employs 50 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Choices:
25
35
20
None of these
Answer: A
Question: In how many ways can a committee of 4 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
Choices:
64
65
66
None of these
Answer: B
Question: Avinash is twice as fast as Bharat, and Bharat is one-third as fast as Chandra. If together they can complete a piece of work in 30 days, in how many days can Avinash, Bharat and Chandra do the work respectively?
Choices:
90,180,60
90,180,62
90,180,69
90,180,61
Answer: A
Question: If the wheel is 14 cm then the number of revolutions to cover a distance of 968 cm is?
Choices:
B)10
C)14
D)12
E)11
Answer: D
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
56
20
67
97
Answer: B
Question: Find the average of first 35 natural numbers?
Choices:
22
23
18
25
Answer: C
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
20 kg
26 kg
31 kg
None
Answer: C
Question: a student got 70% in one subject,80% in other.to get overall 75% how much he should get in third subject.
Choices:
75%
85%
95%
88%
Answer: A
Question: A list of measurements in increasing order is 4, 5, 6, 8, 15 and x. If the median of these measurements is 2/3 times their arithmetic mean, what is the value of x?
Choices:
22
25
28
30
Answer: B
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
40
45
50
Answer: A
Question: The probability of two events A and B are0.25 and 0.40 respectively. The probability that both A and B occur is 0.15. The probability that neither A nor B occur is _________
Choices:
0.4
0.5
0.05
0.6
Answer: B
Question: For any integer n greater than 1, #n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers Q are there between #6 +2 and #6 +6 , inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: On selling 11 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Choices:
s. 50
s. 55
s. 60
s. 120
Answer: D
Question: A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 6 hours. How many hours in total will it take the crow to finish a quarter of the nuts?
Choices:
7.0
7.5
8.0
8.5
Answer: B
Question: What is the probability T of randomly selecting an arrangement of the letters of the wordMEDITERRANEANin which the first letter is E and the last letter is R?
Choices:
1/20
1/26
1/50
1/100
Answer: B
Question: A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
Choices:
2560
2440
2550
2660
Answer: D
Question: The sides of right triangle ABC are such that the length of side AC is 1.25 times the length of side AB, which itself is 4 units more than the length of side BC. If side AC = 20 units, what is the area of the triangle?
Choices:
69
120
160
96
Answer: D
Question: Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is 1/3, what is the value of X/Y ?
Choices:
2.
1/2.
4
There isn't enough data to answer the question.
Answer: C
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Choices:
56∏ cm
12∏ cm
16∏ cm
75∏ cm
Answer: B
Question: There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 60% play football, how many play both?
Choices:
210
200
180
160
Answer: A
Question: The average age of a husband, wife and their child 4 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:
4.4 years
16.63 years
15 years
14.25 years
Answer: D
Question: How many odd integers from 1 to 50 (both inclusive) have odd number of factors?
Choices:
4
5
6
7
Answer: A
Question: Which of the Conclusion is true fof the below statement
Statement : D @ M, M $ B, B ☆ R, R % T
Conclusion:
I. B ☆ D
II. B @ D
III. T ☆ M
Choices:
Only II is true
Only III is true
Only either I or II is true
None is true
Answer: C
Question: Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.4200. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
Choices:
s.700, Rs.2100
s.750, Rs.2000
s.800, Rs.1250
s.1000, Rs.1250
Answer: A
Question: A Prototype fuel-efficient car (P-Car) is estimated to get 85% more miles per gallon of gasoline
than does a traditional fuel-efficient car (T-Car). However, the P-Car requires a special type
of gasoline that costs 20% more per gallon than does the gasoline used by a T-Car. If the two
cars are driven the same distance, what percent less than the money spent on gasoline for the
T-Car is the money spent on gasoline for the P-Car?
Choices:
35.13 %
50%
60%
66 2/3 %
Answer: A
Question: A and B start walking towards each other at 1pm at speed of 5kmph and 7kmph. They were initially 24km apart. At what time do they meet?
Choices:
6pm
3pm
10pm
5pm
Answer: B
Question: P and Q started a business investing Rs.85,000 and Rs.15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
3 : 5
15 : 23
17 : 3
None
Answer: C
Question: If a = 105 and a^3 = 21 × 25 × 45 × w, what is the value of w?
Choices:
42
45
49
54
Answer: C
Question: 6 25 64 81 32 ?
Find The Last Number In the Series ?
Choices:
4
1
2
7
Answer: B
Question: 2 dice are tossed. What is the probability that the total score is a prime no. is?
Choices:
5/12
5/13
7/11
7/12
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?
Choices:
12.5%
12.9%
12.11%
13.5%
Answer: A
Question: A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 21 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
Choices:
40x
48x
24x
x/75
Answer: A
Question: The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 150 sq. cm, what is the width of the rectangle?
Choices:
10 cm
14 cm
16 cm
18 cm
Answer: A
Question: 'a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the difference between the maximum and minimum possible values of 'a + b'?
Choices:
0
13
9
11
Answer: A
Question: If the average (arithmetic mean) of (2a+16) and (3a-8) is 74, what is the value of a?
Choices:
30
28
36
42
Answer: B
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
176 ways
166 ways
108 ways
181 ways
Answer: C
Question: How many prime numbers are between 29/3 and 87/6?
Choices:
2
3
4
5
Answer: A
Question: A certain car uses 12 gallons of gasoline in traveling 180 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?
Choices:
3
6
8
10
Answer: A
Question: The total of the ages of Jayant, Prem and Saransh is 93 years. Ten years ago, the ratio of their ages was
2 : 3 : 4. What is the present age of Saransh?
Choices:
32 years
34 years
38 years
None
Answer: C
Question: If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is even B)B is Odd C)AB is Odd
Choices:
II only
None of the above
II,III only
III only
Answer: B
Question: The ratio of boys to girl in a school is 5:4. If there are 1500 boys in the school, how many girls are there?
Choices:
1200
1500
1800
2000
Answer: A
Question: A and B together can do a work in 3 days. If A alone can do it in 12 days. In how many days can B alone do it?
Choices:
4
8
10
25
Answer: A
Question: What is 25 % of 4/12 of 520?
Choices:
56
60
43
70
Answer: C
Question: The population of a town is 10000. It increases annually at the rate of 10% p.a. What will be its population after 2 years?
Choices:
12100
14500
14600
14700
Answer: A
Question: Jim takes a seconds to swim z meters at a constant rate from point P to point Q in a pool. Roger, who is faster than Jim, can swim the same distance in b seconds at a constant rate. If Jim leaves point P the same time that Roger leaves point Q, how many fewer meters will Jim have swum than Roger when the two swimmers pass each other?
Choices:
c(a-b)/a+b
c(a+b)/a-b
ab(a-b)/a+b
z(a-b)/a+b
Answer: D
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 $8.91 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 discount rates is 22 percent, what is the discount rate on Pony jeans?
Choices:
10%
11%
12%
15%
Answer: B
Question: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[10] equivalent to?
Choices:
[135]
[30]
[90]
[45]
Answer: D
Question: If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 27 more than n. What is y in terms of x ?
Choices:
x+3
x+5
x-10
x-7
Answer: A
Question: 6x + 2y = -4
4x + y = 1
In the system of equations above, what is the value of x?
Choices:
4
3
2
1
Answer: B
Question: One pump drains one-half of a pond in 7 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Choices:
1.1 hour
3 hours
5 hours
6 hours
Answer: A
Question: A shopkeeper buys mangoes at the rate of 9 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 1/7 %
200/3 %
32 1/3 %
33 2/3 %
Answer: B
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Choices:
20 kg
26 kg
31 kg
35 kg
Answer: C
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
3.348
3.37
3.248
Answer: A
Question: [1/(1.2.3)] + [1/(2.3.4)] + [1/(3.4.5)] + [1/(4.5.6)] is equal to
Choices:
7 / 30
13 / 30
17 / 30
None
Answer: A
Question: Luke purchased a used car for a price of H dollars, which he took to a garage where he bought a new windshield for L dollars, and four new wheels for J dollars per wheel. He then sold the car to a friend for K dollars.
How much profit did he make?
Choices:
(K-H)-(L+J)
(K-J)+(L+H)
(K+H)-(L-4J)
(K-H)-(L+4J)
Answer: D
Question: A man purchased a fan and a tv for Rs. 5000 &Rs. 10000 respectively. He sold the fan at a loss of 6% and the tv at a profit of 12%. Overall how much he make a profit.
Choices:
300
900
600
400
Answer: B
Question: Java House charges $3.25 for a cup of coffee that costs a total of $2.85 to make. Cup'O'Joe charges $2.80 for a cup that costs $2.65 to make. If Java House sells 24,000 cups of coffee, how many must Cup'O'Joe sell to make at least as much in total gross profit as its competitor does?
Choices:
8,301
14,667
64,000
146,667
Answer: C
Question: Tickets numbered from 1 to 27 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
Choices:
1/3
3/10
3/7
1/7
Answer: A
Question: If a man walks to his office at 5/4 of his usual rate, he reaches office 30 minutes early than usual. What is his usual time to reach office.
Choices:
2 1⁄2 hrs
1 hr 50 min
2 hrs 15 min
None of these
Answer: A
Question: A bag contains 4 white,5 red and 6 blue balls.Three balls are drawn at random from the bag.the probability that all of them are red are????
Choices:
3/91
4/91
2/91
6/91
Answer: C
Question: The average of six numbers is 3.55. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
4.2
3.4
4.9
Answer: C
Question: An army’s recruitment process included N rounds of selection tasks. For the first A rounds, the rejection percentage was 60 percent per round. For the next B rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. If there were 100000 people who applied for the army and 245 were finally selected, what was the value of N?
Choices:
5
6
8
9
Answer: D
Question: The distance between two stars is 1.8 × 10^7 light years. What is the distance between the two stars in parsecs? (1 parsec = 3.26 light years)
Choices:
2.2 x 10^3
3.3 x 10^4
4.4 x 10^5
5.5 x 10^6
Answer: D
Question: A group of five girls and three boys have tickets for seven adjacent seats in one row of a theater. If the three boys will not sit in three adjacent seats, how many possible different seating arrangements are there for these 8 theatre-goers?
Choices:
8! – 6!3!
8 × 2!3!2!
8! – 5!3!
2!3!2!
Answer: A
Question: 20 men can complete a piece of work in 30 days. In how many days can 25 men complete that piece of work?
Choices:
27
24
27
11
Answer: B
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
Choices:
6
8
7
4
Answer: B
Question: If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
Then find,
5 * 2 * 9 =?
Choices:
68
72
23
77
Answer: C
Question: On a certain road, 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 40% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Choices:
12.5%
16.7%
25%
30%
Answer: B
Question: Look at this series: V, VIII, XI, __, XVII, XX, ... What number should fill the blank?
Choices:
XXIII
XV
XIV
None
Answer: C
Question: When the price of sugar was increased by 32%, a family reduced its consumption in such a way that the expenditure on sugar was only 10% more than before. If 30 kg were consumed per month before, find the new monthly consumption.
Choices:
25 kg
30 kg
35 kg
None of these
Answer: A
Question: An article is bought for Rs.805 and sold for Rs.900, find the gain percent?
Choices:
17.8%
15.8%
11.8%
14.8%
Answer: C
Question: a person travels from his house to office from 11:10am to 12:10 am and covers a distence of 15.4km. find the average speed of the person.
Choices:
15.4km/h
21.1km/h
22.1km/h
20.9km/h
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 60 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
8.2
7.7
2.6
8.3
Answer: D
Question: In a class, the average age of 45 boys is 10 years and the average of 15 girls is 10 years. what is the average age of the whole class?
Choices:
12.3 Years
10 Years
13 Years
15 Years
Answer: B
Question: If 2x + y = 7 and x + 2y = 8, then (x + y)/3 =
Choices:
4/3
17/5
18/5
5/3
Answer: D
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1100
1230
1350
1635
Answer: D
Question: Ten years ago, the age of Peter was one-third the age of Jacob at that time. The present age of Jacob is 12 years more than the present age of Peter. Find the present age of Peter?
Choices:
11
18
16
20
Answer: C
Question: There are 3 couples. If they will sit 6 chairs in a row such that each couple sits side by side, how many possible cases are there?
Choices:
48
1,200
2,460
3,840
Answer: A
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 2 years ?
Choices:
2977
22500
6077
17112
Answer: B
Question: a dealer buys 4 varieties of rice costing rs. 40,rs.50,rs.60 and rs.70 per kg in the ratio 4:5:3:2 and mixes all the four varieties and sells at 40% profit. What is the selling price per kg of rice?
Choices:
73
74
75
76
Answer: A
Question: If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?
Choices:
48 paise
54 paise
62 paise
65 paise
Answer: A
Question: Q is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can Q be?
Choices:
349,999
350,000
399,999
400,000
Answer: A
Question: Difference of two numbers is 1660. If 7.5% of the number is 12.5% of the other number , find the number ?
Choices:
3660, 2000
3000, 4160
2490, 4150
4660, 3000
Answer: C
Question: The present ages of three persons are in proportions 4:7:9. Six years ago, the sum of their ages was 122. Find their present ages.
Choices:
28, 36
35, 45
35, 55
49,63
Answer: D
Question: A bowl was filled with 10 ounces of milk, and 0.008 ounce of the milk evaporated each day during a 50-day period. What percent of the original amount of milk evaporated during this period?
Choices:
0.04%
4%
40%
42%
Answer: B
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Choices:
800
500
600
700
Answer: A
Question: A statue is being carved by a sculptor. The original piece of marble weighed 180 kg. In the first week 28 percent is cut away. In the second week 18 percent of the remainder is cut away. In the third week the statue is completed when 20 percent of the remainder is cut away. What is the weight of the final statue?
Choices:
85 kg
108 kg
125 kg
117 kg
Answer: A
Question: A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $5.50. If the company’s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Choices:
$1,350
$1,650
$2,050
$2,250
Answer: B
Question: A man invests Rs.5000 for 3 years at 5% p.a. compound interest reckoned yearly. Income tax at the rate of 20% on the interest earned is deducted at the end of each year. Find the amount at the end of the third year
Choices:
5624.32
5654.32
5624.38
5624.35
Answer: A
Question: If x is a positive integer with fewer than 3 digits, what is the probability that C x*(x + 1) is a multiple of either 4 or 5?
Choices:
2/25
8/99
49/100
86/99
Answer: D
Question: In what time will Rs.1000 become Rs.1331 at 10% per annum compounded annually?
Choices:
3 years
4 years
7 years
None
Answer: A
Question: In how many ways can a group of 5 men and women be made out of a total of 7 men and 3 women?
Choices:
63
126
45
135
Answer: A
Question: When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 7x is divided by 9?
Choices:
1
3
4
8
Answer: D
Question: Suppose you flip a fair coin three times. What is the probability that, in three flips, you get at least one head?
Choices:
7/8
13/8
3/8
1/8
Answer: A
Question: At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
Choices:
(54 + 6/11) past 1
(54 + 6/11) past 2
(54 + 6/11) past 4
(54 + 6/11) past 7
Answer: C
Question: In a certain random experiment, exactly one of the outcomes A, B, and C will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and C will occur twice?
Choices:
1/12
10/81
1/6
16/81
Answer: B
Question: Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 20 more photos than Claire. How many photos has Claire taken?
Choices:
8
10
12
14
Answer: B
Question: A 290 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
Choices:
210m
230m
240m
250m
Answer: A
Question: A person sells a book for Rs. 11. He gains as many percent as its cost price in rupees. What is the cost price?
Choices:
Rs. 12
Rs. 10
Rs. 11
Rs. 14
Answer: B
Question: How many multiples of 2 are there between 101 and 999 ?
Choices:
440
510
575
449
Answer: D
Question: The ratio between c and y is 7/9; c and y are increased by 4, what is the ratio between the new values of c and y?
Choices:
14/9
7/18
11/13
It Cannot Be Determined
Answer: D
Question: In a race with 11 competitors, the first-place finisher receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. If there are no ties, in how many different ways may these three medals be awarded?
Choices:
120
720
990
604,800
Answer: C
Question: The averge score of a cricketer for ten matches is 45 runs. If the average for the first six matches is 48. Then find the average for the last four matches?
Choices:
43
38
40.5
36
Answer: C
Question: The dividend is 208, the quotient is 8 and the remainder is 2.
What is the divisor?
Choices:
24
26
28
30
Answer: A
Question: A gambler has won 40% of his 20 poker games for the week so far. If, all of a sudden, his luck changes and he begins winning 80% of the time, how many more games must he play to end up winning 60% of all his games for the week?
Choices:
20
30
35
40
Answer: A
Question: The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
Choices:
50
60
70
80
Answer: B
Question: Find the fourth proportion to 4,8,12
Choices:
12
18
24
8
Answer: C
Question: Find the sum of first 20 multiples of 12.
Choices:
2520
2778
27
911
Answer: A
Question: The cost of the paint is rs.40 per kg. if 1kg of paint covers 20 sq.ft, how much will it cost to paint outside of a cube having 30 feet each side
Choices:
Rs.672
Rs.546
Rs.10800
None of these
Answer: C
Question: An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
Choices:
6 hrs 21 min
6 hrs 24 min
6 hrs 30 min
None
Answer: A
Question: Betty leaves her home and walks toward Dave's house. Two hours later, Dave leaves his home and walks toward Betty's house. The distance between their homes is 36 kilometers, Betty's walking speed is 4 km/h, and Dave's walking speed is 3 km/h. How many kilometers will Betty walk before she meets Dave?
Choices:
20
22
24
25
Answer: C
Question: James has a total of 560 balls. 140 balls are yellow, 250 balls are blue, and 170 balls are red. What percentage of the balls are yellow ?
Choices:
30 %
25 %
55 %
75 %
Answer: B
Question: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 14 cm?
Choices:
260cm2
266cm2
270cm2
280cm2
Answer: B
Question: Daniel went to the store 5 times last month. He buys 8 tickets and 14 bottle caps each time he goes to the store. How many tickets did Daniel buy last month?
Choices:
14
40
33
11
Answer: B
Question: A man entered a store and spent one-half of the money that was in his pocket. When he came out he found that he had just as many cents as he had dollars when he went in and half as many dollars as he had cents when he went in. How much money did he have on him when he entered?
Choices:
$77.98
$99.98
$65.98
$76.98
Answer: B
Question: A shop sells bicycles and tricycles. In total there are 7 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Choices:
b=5,t=3
b=6,t=2
b=2,t=5
b=3,t=4
Answer: C
Question: What is the lowest positive integer that is divisible by each of the odd integers between 9 and 15 inclusive?
Choices:
5×17×19×23
7×15×17×19
15*11*13
15×17×19×21
Answer: C
Question: In how many ways can the letters of the word CAREER be arranged?
Choices:
180
2000
2520
3420
Answer: A
Question: The sum of the squares of the first 15 positive integers (1^2 + 2^2 + 3^2 + . . . + 15^2) is equal to 1250. What is the sum of the squares of the second 15 positive integers (16^2 + 17^2 + 18^2 + . . . + 30^2) ?
Choices:
3490
6785
8225
9255
Answer: C
Question: A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
Choices:
243
215
729
728
Answer: B
Question: A baker filled with a measuring cup with 3/4 cup water. He poured 1/2 of the water into the batter, and then spilled 2/8 of the water on the floor. How much water will the baker needed to add what is left in the cup to have 50% more than what he started with?
Choices:
3/8 cup
1/4 cup
1/2 cup
8/8 cup
Answer: D
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Choices:
18 min
15 min
30 min
20 min
Answer: C
Question: The length of rectangle is thrice its breadth and its perimeter is 40 m, find the area of the rectangle?
Choices:
212
75
992
212
Answer: B
Question: Rs.2600 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
s.1200
s.1528
s.1540
s.1549
Answer: A
Question: Find the least number which when divided by 5,6,7,8 leaves a remainder 3 but when divided by 9 leaves no remainder
Choices:
7896
8741
1683
8523
Answer: C
Question: A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $32 to ship a certain package, which of the following was the weight of the package, in pounds?
Choices:
11
13
15
17
Answer: B
Question: A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 140 km downstream
Choices:
4 hours
5 hours
6 hours
7 hours
Answer: B
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 1323 sq m, then what is the breadth of the rectangular plot?
Choices:
17
18
21
1322
Answer: C
Question: If v=4p where p is a prime number greater than 2, how many different positive even divisors does v have, including v?
Choices:
three
four
six
eight
Answer: B
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
25
26
29
Answer: A
Question: If 8 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:1
3:3
1:2
6:1
Answer: C
Question: If the following is true, can you find the value of (4 + 9)?
7 + 7 = 2
8 + 8 = 4
8 + 5 = 1
6 + 9 = 3
10 + 11 = 9
Choices:
2
1
4
5
Answer: B
Question: While working alone at their respective constant rates, server J uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
Choices:
2hr 20 min
2hr 40 min
5 hr 40 min
6hr
Answer: B
Question: If the perimeter of square region Z and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of Z
Choices:
24:25
5:6
4:5
4:9
Answer: A
Question: A lady bought four books namely A,B,C,D to distribute her 6 children. How many ways she can distribute books?
Choices:
6^4
6^5
6^6
6^2
Answer: A
Question: A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?
Choices:
7320
8000
9000
9200
Answer: C
Question: The amount of water (in ml) that should be added to reduce 21 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Choices:
5 ml
14.5 ml
6 ml
1 ml
Answer: B
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
12/420
12/455
12/429
12/413
Answer: B
Question: Sum of ages of two friends is 30 while difference is 2 then their ages are
Choices:
16 years, 14 years
24 years, 1 years
18 years, 16 years
None
Answer: A
Question: In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 4 Ohms and y is 6 Ohms?
Choices:
7/12
12/5
7/5
11/5
Answer: B
Question: Lawrence is interested in dividing his backyard into equal pens for his dogs. Unfortunately, it does not divide equally. It turns out that in order for the yard to divide equally, Lawrence has to buy an additional six square feet of land and sell three of his dogs.. Which of the following can describe the number of square feet of the initial yard and the initial number of dogs (in the order square feet, dogs)?
Choices:
20; 7.
30; 9.
80; 12.
35; 7
Answer: B
Question: QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function d(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The d(n) could have any of the following units digits except…?
Choices:
2
4
6
9
Answer: A
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Choices:
500 m
670 m
600 m
640 m
Answer: C
Question: A train moves with a speed of 216 kmph. Its speed in metres per second is
Choices:
18
30
38.8
60
Answer: D
Question: A train sets off at 2 p.m. at the speed of 60 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 75 kmph. At what time the trains will meet?
Choices:
9.20 p.m
9.30 p.m
9.38 p.m
9.10 p.m
Answer: B
Question: If the average costs of three colors of 20,40,60 chocolates respectively is 10,15,20 what is the average costs of all the chocolates?
Choices:
13.33
14.44
15.55
16.66
Answer: D
Question: Simplify: 500 x 500- 200 x 200
Choices:
761400
761800
210000
None of them
Answer: C
Question: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:
Choices:
10 hours
15 hours
30 hours
35 hours
Answer: B
Question: Rahul went to a shop and bought things worth Rs. 35, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
B)19.9
C)20.9
D)21.9
E)29.7
Answer: D
Question: Look at this series: (1/9), (1/3), 1, ____ , 9, ... What number should fill the blank?
Choices:
3
6
27
28
Answer: A
Question: A palindrome is a number that reads the same forward and backward, such as 120. How many odd, 4-digit numbers are palindromes?
Choices:
55
50
90
2500
Answer: A
Question: For which of the following functions is f(r+b)=f(r)+f(b) for all positive numbers r and b?
Choices:
b) f(x)=x+1
c) f(x)=root x
d) f(x)=2/x
e) f(x)= -3x
Answer: D
Question: A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Choices:
4
2
1
8
Answer: A
Question: The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 5 years?
Choices:
24883
14500
14600
15400
Answer: A
Question: If a rectangular room measures 12 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter=100 centimeters)
Choices:
288,000,000
2,400,000
24,000,000
240,000,000
Answer: A
Question: Mr. loyd wants to fence his Square shaped land of 150Sqft each side.If a pole is laid every 10ft how many poles do he need?
Choices:
30
40
60
65
Answer: C
Question: Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?
Choices:
A)23
C)27
D)53
E)86
Answer: A
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
24.5
12.5
14.5
13.6
Answer: A
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 14,907,200,000 pounds, how many widgets have been unloaded?
Choices:
3
4
5
6
Answer: C
Question: The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%, is:
Choices:
114
114.75
124
124.75
Answer: D
Question: A drought decreased the amount of water stored in State J reservoirs from 200 billion gallons to 150 billion gallons. If the drought decreased the amount of water in the reservoirs to 30 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the rain?
Choices:
304
352
300
350
Answer: B
Question: In a simultaneous throw of two dice, what is the probability of getting a total of 7?
Choices:
1/6
2/3
3/4
4/5
Answer: A
Question: Consider the sets Tn = {n, n + 1, n + 2, n + 3, n + 4}, where n = 1, 2, 3,...., 66. How many of these sets contain 6 or any integral multiple thereof (i.e., any one of the numbers 6, 12, 18, ...)?
Choices:
(b) 55
(c) 82
(d) 83
(e) 84
Answer: A
Question: 12 members were present at a board meeting. Each member shake hands with all of the other members before and after the meeting .How many hand shakes were there?
Choices:
268
132
827
261
Answer: B
Question: A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 20 speak English well, while 60 of them do not speak English. If 60% of students do not speak French, how many students were surveyed?
Choices:
225
175
195
200
Answer: D
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
178 m
120 m
187 m
144 m
Answer: B
Question: How many ways are there to arrange the letters in the word Settees ?
Choices:
210
3780
7560
11340
Answer: A
Question: John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment T that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Choices:
a. 3/5
c.7/10
d.3/4
e.4/5
Answer: A
Question: A retailer bought a machine at a wholesale price of $126 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price of the machine?
Choices:
100
120
135
168
Answer: D
Question: A train met with an accident 40km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
Choices:
40 km/hr
65 km/hr
70 km/hr
48 km/hr
Answer: A
Question: At a certain conference, 74% 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%
79.2%
82.22%
82.0%
Answer: C
Question: How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
Choices:
50 sec
51 sec
55 sec
58 sec
Answer: A
Question: The tens digit of a two-digit number is two more than its unit digit. The two-digit number is 7 times the sum of the digits. Find the units digits?
Choices:
2
3
4
5
Answer: A
Question: The fourth proportional to 12, 14 and 18 is?
Choices:
21
88
99
26
Answer: A
Question: If x + y = 0 and x =/ 0,then what is the value of
x2007/y2007?
Choices:
-1
0
1
2007
Answer: A
Question: Which of the following describes all values of x for which 25-x^2 ≥ 0 ?
Choices:
x ≤ -1
0 ≤ x ≤ 1
x ≤ -1 or x ≥ 1
-5 ≤ x ≤ 5
Answer: D
Question: In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that both pen will be defective?
Choices:
1/6
6/11
9/16
3/4
Answer: A
Question: An investor bought a 1-year $5,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
Choices:
$408
$1224
$800
$400
Answer: A
Question: The average of first three prime numbers greater than 20 is?
Choices:
20
30
27.7
50
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
250
230
250
260
Answer: A
Question: What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
3944
2666
2888
2123
Answer: A
Question: The contents of a certain box consist of 40 apples and 30 oranges. How many oranges must be added to the box so that exactly 40% of the pieces of fruit in the box will be apples?
Choices:
50
60
70
30
Answer: D
Question: The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?
Choices:
180
190
200
250
Answer: A
Question: Which of the following has fractions in ascending order?
Choices:
1⁄3, 2⁄5, 3⁄5, 5⁄6, 4⁄7, 6⁄7
1⁄3, 2⁄5, 3⁄5, 4⁄7, 5⁄6, 6⁄7
1⁄3, 2⁄5, 4⁄7, 3⁄5, 5⁄6, 6⁄7
None of these
Answer: C
Question: The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. The average height of the whole class is :
Choices:
159
888
266
277
Answer: A
Question: The ratio of the radius of two circles is 5: 3, and then the ratio of their areas is?
Choices:
1: 6
25: 9
1: 3
1: 2
Answer: B
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
11756
11753
11750
11751
Answer: C
Question: A vendor bought toffees at 6 for a dollar. How many for a dollar must he sell to gain 20%?
Choices:
6
5
9
8
Answer: B