antoine-444/aqua_rat_dataset huggingface dataset:
Question: A black box contains eight marbles, of which three are red, and the rest are blue. A white box contains five marbles, of which two are red, and the rest are blue. If two marbles are chosen from the black box at random, and one marble is chosen from the white box at random, what is the probability that all marbles will be blue?
Choices:
3/14
5/13
8/13
17/20
Answer: A
Question: How many kilograms of sugar costing Rs/.9 per kg must be mixed with 27kg of sugar costing Rs.7 per kg so that there may ba gain of 10% by selling the mixture at Rs.9.24 per kg
Choices:
63
88
26
18
Answer: A
Question: Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
The ratio between the total expenditure on Taxes for all the years and the total expenditure on Fuel and Transport for all the years respectively is approximately?
Choices:
10:13
5:8
15:21
15:23
Answer: A
Question: The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?
Choices:
300 square meters
500 square meters
600 square meters
700 square meters
Answer: A
Question: If a - b = 3 and a^2 + b^2 = 27, find the value of ab.
Choices:
15
10
18
9
Answer: D
Question: John bought a total of 20 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 20 mangoes and oranges that John originally purchased was 69 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
Choices:
5
6
7
8
Answer: A
Question: P cycles at a speed of 4 m/s for the first 8 seconds, 5 m/s for the next 8 seconds, 6 m/s for the next 8 and so on. Q cycles at a constant speed of 6.5 m/s throughout. If P and Q had to cycle for a 400 m race, how much lead in terms of distance, can P give Q and still finish at the same time as Q?
Choices:
56.6 m
32.1 m
P cannot give a lead as Q is always ahead of P
None of these
Answer: B
Question: The value of	0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02	is:
0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04
Choices:
0.125
0.25
0.5
None of these
Answer: A
Question: What is the area of a square field whose diagonal of length 18 m?
Choices:
250 sq m
200 sq m
180 sq m
100 sq m
Answer: C
Question: Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 06:00 and starts climbing at a constant pace. Ken starts climbing only at 08:00, when Sari is already 800 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit?
Choices:
16.3
14:00
15:00
15:30
Answer: A
Question: The number X is 200% of Y. The number Z increased by 200% is 50% of X. What percentage of Z is Y?
Choices:
100%
200%
300%
333%
Answer: C
Question: A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 9 salespeople on staff, how many different arrangements of winners are possible?
Choices:
1,440
1,320
504
6
Answer: C
Question: Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 6 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
Choices:
$900
$600
$300
$60
Answer: A
Question: A bowl has only 2 apples and 2 bananas. If one piece of fruit is selected from the bowl at random, and a second piece is selected from the bowl without replacing the first, what is the probability that both pieces of fruit chosen are apples?
Choices:
1/6
2/9
2/5
1/2
Answer: A
Question: If A and B get profits of Rs.15,000 and Rs.5,000 respectively at the end of year then ratio of their investments are
Choices:
1:4
3:1
2:3
2:5
Answer: B
Question: Find the area of trapezium whose parallel sides are 22 cm and 18 cm long, and the distance between them is 15 cm.
Choices:
299
300
161
212
Answer: B
Question: What is the square root of 169?
Choices:
16
13
42
25
Answer: B
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.896?
Choices:
800
2889
2777
2991
Answer: A
Question: There are a red, yellow, blue and green tennis balls respectively in a set. How many subsets of these balls can I get without using the green ball?
Choices:
7
8
6
10
Answer: B
Question: If x = a/3 + b/3^2 + c/3^3, where a, b, and c are each equal to 0 or 1, then x could be each of the following EXCEPT:
Choices:
1/9
4/27
2/9
4/9
Answer: C
Question: A part-time employee’s hourly wage was increased by 50%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
Choices:
15%
25%
33%
50%
Answer: C
Question: If Ajay drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?
Choices:
27
24
19
17
Answer: B
Question: what is the value of (3)^-4 ?
Choices:
1/81
1/65
1/9
1/3
Answer: A
Question: Rabert’s age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
Choices:
10 years.
12 years.
13 years.
14 years.
Answer: A
Question: A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Choices:
27
36
57
87
Answer: B
Question: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 3 order of $150 ?
Choices:
$2
$3
$4
$8
Answer: D
Question: 0.2 decades ago a person was 6 times as old as his daughter, After 18 years, he will be two times as old as his daughter. Then their current ages are,
[0.2 decades = 2 years]
Choices:
9
11
13
None of these
Answer: D
Question: A sum of money triples itself in ten years at simple interest. Find the rate of interest?
Choices:
14 1/2 % p.a.
20 % p.a.
22 % p.a.
25 % p.a.
Answer: B
Question: The banker's discount on Rs.1800 at 16% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
Choices:
3 months
5 months
6 months
7 months
Answer: A
Question: As part of a game, three people each must secretly choose an integer between 1 and 3, inclusive. What is the approximate likelihood that all three people will choose different numbers?
Choices:
12%
16%
20%
22%
Answer: D
Question: Suppose you roll a 20 sided die twice. What is the probability you will land on the same number for both rolls?
Choices:
1/20
1/5
1/25
1/40
Answer: A
Question: P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Choices:
3/11
8/15
7/15
None
Answer: B
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Choices:
288
29
60
12
Answer: C
Question: A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability Y the piece ends no more than 7 spaces from the square numbered 49?
Choices:
8%
14%
15%
28%
Answer: D
Question: What will come in place of the x in the following Number series? 49920, 4160, 416, x
Choices:
52
4
5
6
Answer: A
Question: For an upcoming charity event, a male vocalist has agreed to sing 5 out of 7 “old songs” and 3 out of 6 “new songs.” How many ways can the singer make his selection?
Choices:
50
140
480
600
Answer: B
Question: A man walks half of the journey at 4 km/h by cycle does one third of journey at 12 km/h and rides the remainder journey in a horse cart at 9 km/h, thus completing the whole journey in 6 hours and 12 minutes. The length of the journey is
Choices:
36 km
40 km
28 km
None of these
Answer: A
Question: 12.1212+17.0005 - 9.1103 = ?
Choices:
20.0105
20.0115
20.0114
None
Answer: C
Question: Replace the ? mark with an appropriate approximate value in the following equation’?
2 4/3 of 165.83+25% of 1847= ? - 554.7
Choices:
1568.22
179.22
15659.22
1569.22
Answer: D
Question: If you write down all the numbers from 1 to 25, then how many times do you write 3 ?
Choices:
B)3
C)2
D)1
E)6
Answer: A
Question: A batsman in his 12th innings makes a score of 60 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
38
44
45
46
Answer: A
Question: Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is ?
Choices:
44 sec
46 sec
48 sec
50 sec
Answer: C
Question: A train travels 225 km in 3.5 hours and 370 km in 5 hours.find the average speed of train.
Choices:
60 kmph
70 kmph
90 kmph
None of these
Answer: B
Question: If -4 < x < 5 and -6 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 24
-30 < xy < 24
-24 < xy < 21
-24 < xy < 24
Answer: B
Question: Salaries of Ravi and Sumit are in the ration 2:3. It the salary of each in increased by $4000, the new ration becomes 40:57, what is Sumit’s present salary?
Choices:
$20000
$25500
$38000
$28500
Answer: C
Question: An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How much more time S will it take to fill the bucket to full capacity?
Choices:
9/18
2
18/7
18/5
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20%
23%
74%
83%
Answer: A
Question: A and B are two partially filled buckets of water. If 7 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 7 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Choices:
77/5
17
21
23
Answer: A
Question: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
Choices:
100 pi
70 pi
90 pi
200 pi
Answer: A
Question: What was the day on 15th august 1947 ?
Choices:
tuesday
wednesday
Thursday
Friday
Answer: D
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
1
10
19
None of the above
Answer: C
Question: Find the value of 1/(3+1/(3+1/(3-1/3)))
Choices:
26/97
27/89
10/3
89/27
Answer: B
Question: The total of 35 students in a class is 560 years. The total age of 21 students is 294. What is the total age of remaining 14 students?
Choices:
270
266
294
244
Answer: B
Question: If the average of 42, 87, 36, 78, 99, 22, and x is 59, what is x?
Choices:
49
59
78
44
Answer: A
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 2 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
2/5
1/4
1/2
4/7
Answer: B
Question: How many odd numbers between 10 and 1200 are the squares of integers?
Choices:
13
14
15
16
Answer: C
Question: Given an integer x, let f(x) be the sum of the digits of x. Compute the number of positive
integers less than 1000 where f(x) = 2.
Choices:
4
6
8
10
Answer: B
Question: John has 6 people in his group of friends. How many different ways can he invite one or more of them to his house?
Choices:
97
63
65
71
Answer: B
Question: If u and v are negative integers, which of the following statements must be true?
I. (-u)^v is positive.
II. (-u)^(-v) is positive.
III. u^(-v) is positive.
Choices:
II only
I and II
I and III
I, II and III
Answer: B
Question: You have 59 cubic blocks. What is the minimum number that needs to be taken away in order to construct a solid cube with none left over?
Choices:
43
11
32
45
Answer: C
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choices:
5/12
5/17
5/18
5/14
Answer: A
Question: An amount of Rs. 3000 becomes Rs. 3500 in four years at simple interest. If the rate of interest was 1% more, then what was be the total amount?
Choices:
Rs. 3800
Rs. 3700.
Rs. 2500.
Rs. 3500.
Answer: D
Question: For each color copy, Print Shop X charges $1.20 and Print Shop Y charges $1.70. How much greater is the charge for 40 color copies at Print Shop Y than at Print Shop X?
Choices:
$16
$18
$20
$22
Answer: C
Question: A can finish a work in 9 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
Choices:
3
5.5
7
8
Answer: A
Question: The total age of A and B is 11 years more than the total age of B and C. C is how many year younger than A
Choices:
A)11
C)13
D)14
E)15
Answer: A
Question: A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
108
84
188
211
Answer: B
Question: A car moves at 80 km/hr. What is the speed of the car in meters per second ?
Choices:
22 2/9m sec
24 2/9m sec
26 2/9m sec
28 2/9m sec
Answer: A
Question: If n is the smallest integer such that 432 times n is the square of an integer, what is the value of n?
Choices:
3
6
12
24
Answer: A
Question: If 15% of A is the same as 20% of B, then A : B is :
Choices:
4 : 3
17 : 16
16 : 17
1:2
Answer: A
Question: A man saves Rs 300 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years.
Choices:
Rs 962.01
Rs 662.02
Rs 993.03
None of these
Answer: C
Question: In May Mrs Lee's earnings were 70 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
Choices:
68%
72%
74%
83%
Answer: C
Question: The average of 45 results is 8. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?
Choices:
470
750
650
560
Answer: A
Question: If the area of circle is 616 sq cm then its circumference?
Choices:
88 m
75 m
70 m
80 m
Answer: A
Question: A certain computer manufacturing firm last year produced 82 percent of its computers using parts made by its subsidiary company. If the remaining 10,890 computers were produced using parts purchased from another parts manufacturer, how many computers were produced by the computer manufacturing firm altogether?
Choices:
60100
60500
72000
74000
Answer: B
Question: A trader cheats both his supplier and customer by using faulty weights. When he buys from the supplier, he takes 10% more than the indicated weight. When he sells to his customer, he gives the customer a weight such that 10% of that is added to the weight, the weight claimed by the trader is obtained. If he charges the cost price of the weight that he claims, find his profit percentage.
Choices:
21%
21.33%
22.109%
23%
Answer: A
Question: In N is a positive integer less than 200, and 18N/60 is an integer, then N has how many different positive prime factors?
Choices:
2
5
6
8
Answer: A
Question: A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ?
Choices:
48 kmph
28 kmph
18 kmph
98 kmph
Answer: A
Question: Mary works in a restaurant a maximum of 40 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
Choices:
420
360
320
400
Answer: B
Question: Of the four numbers, whose average is 75, the first is one-fourth of the sum of the last three. The first number is ?
Choices:
60
11
48
10
Answer: A
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become six times at the same rate?
Choices:
12 ½ years
18 ½ years
72 ½ years
12 ½ years
Answer: A
Question: If |a+b|=|a-b|, then a*b must be equal to:
Choices:
-1
0
2
-2
Answer: B
Question: The arithmetic mean of the 9 consecutive integers starting with 's' is 'a'. What is the arithmetic mean of 9 consecutive integers that start with s + 4?
Choices:
22 + a
2s
2a + 2
2 + a
Answer: D
Question: A type Q machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type Q machines and 3 type B machines working together and independently to complete the job?
Choices:
29/35
5/6
35/29
35/12
Answer: C
Question: Bullock likes to keep a spare tyre in his car every time. On a certain day, he travels 1, 00,000 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
90,000
10,000
Answer: B
Question: Pam and Cathy begin running at the same time on a straight path. Pam runs at 10 miles per hour, and Cathy runs at 8 miles per hour. After 45 minutes, Pam stops to stretch. If it takes Pam 30 minutes to stretch and Cathy continues to run during this time, how many minutes will it take Pam to catch up to Cathy assuming Pam resumes running at 10 miles per hour?
Choices:
40 minutes
45 minutes
60 minutes
75 minutes
Answer: D
Question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
25200.
28000
29000
30000
Answer: A
Question: Alex deposited x dollars into a new account that earned 10 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.08+1.16)
w/(1.16+1.24)
w/(1.10+1.10^2)
w/(1.08^2+1.08^2)
Answer: C
Question: If UVW= 1 , WXY = 0 , and UWX = 0, which of the following must be zero?
Choices:
V
W
X
Y
Answer: C
Question: There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
Choices:
120
100
60
40
Answer: B
Question: 1398 x 1398 = ?
Choices:
1851404
1951404
1954404
None of these
Answer: C
Question: Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $100, what was the final price of the sweater?
Choices:
$52.5
$15.75
$ 45.75
$18.75
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 45, 55, 60, then the average marks of all the students is:
Choices:
54.68
52.97
56
None of these
Answer: B
Question: The annual income of Puja, Hema and Jaya taken together is Rs. 46,000. Puja spends 70 % of income, Hema spends 80 % of her income and Jaya spends 92 % of her income. If their annual savings are 15 : 11 : 10, find the annual saving of Puja?
Choices:
10, 000 /-
17, 500 / -
25, 000 /-
NONE OF THE ABOVE
Answer: A
Question: Three numbers are in the ratio 4 : 5 : 6 and their average is 30 . The largest number is:
Choices:
32
36
42
45
Answer: B
Question: A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 208 customers. How many more new tables than original tables does the restaurant have?
Choices:
8
16
20
24
Answer: A
Question: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Choices:
814
840
844
548
Answer: A
Question: In a consumer survey, 90% of those surveyed liked at least one of three products: 1, 2, and 3. 50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
5
15
20
25
Answer: A
Question: Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
Choices:
3
4
0
2
Answer: B
Question: If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 2 years would be
Choices:
4(1.5)
(1.05)^2
1 + (0.05)^4
1 + 4(0.05)
Answer: B
Question: If f=(10^10)-47, what is the sum of all the digit of f?
Choices:
45
50
55
80
Answer: D
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
9 kmph
3 kmph
8 kmph
1 kmph
Answer: C
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 138 m length?
Choices:
12.4 sec
19.1 sec.
17.1 sec.
42.1 sec.
Answer: A
Question: There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?
Choices:
Rs. 612
Rs. 622
Rs. 616
Rs. 630
Answer: C
Question: A truck carrying cans of paint contains P stacks. Each stack contains P/4 cases, and each case contains 12 cans. How many cans of paint are contained in 7 trucks?
Choices:
P^2/336
336
21/P^2
21P^2
Answer: D
Question: Look at this series: 97, 97, 97, 81, 81, 81, 65, 65, 65 ... What number should come next?
Choices:
33
43
38
36
Answer: A
Question: 1/5 , ½ , 1/3 , 2/5 ,1, 2/3, 3/5, 1 ½ ,1, 4/5,?
Choices:
2
3
4
5
Answer: A
Question: In a clothing store, there are six different colored neckties ( orange, yellow, green, blue, and indigo) and five different colored shirts ( orange, yellow, green, blue, and indigo) that must be packed into boxes for gifts. If each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
Choices:
1/120
2/233
3/543
1/720
Answer: A
Question: A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio?
Choices:
16:13
16:15
16:12
16:11
Answer: B
Question: The length of the bridge, which a train 140 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
367
235
245
267
Answer: B
Question: Find the one which does not belong to that group ?
Choices:
630
287
192
119
Answer: A
Question: There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 50% play football, how many play both?
Choices:
150
200
180
160
Answer: A
Question: in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 12 people all together .how many people can sit in a bus?
Choices:
49
95
88
93
Answer: D
Question: One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
Choices:
7
1
9
6
Answer: C
Question: A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Choices:
5 hours
6 hours
8 hours
3 hours
Answer: C
Question: In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes
Choices:
16800
16700
15700
None of these
Answer: A
Question: Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,500 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
Choices:
40,000
42,500
45,500
48,500
Answer: C
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 15 kmph, then the speed in downstream is?
Choices:
B)30
C)20
D)21
E)18
Answer: A
Question: A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
Choices:
24/78
24/76
24/71
24/72
Answer: A
Question: A number is increased by 40 % and then decreased by 40 %. Find the net increase or decrease per cent.
Choices:
18%
17%
13%
16%
Answer: D
Question: If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
Choices:
1
2
3
0
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
5
8
9
1
Answer: B
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
7
1
89
Answer: A
Question: If 6 Men or 8 Women take 6 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please? The OA is 9/4
Choices:
1. 36/11 days
3. 9/4 days
4.5/2 days
5.3 days
Answer: A
Question: Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 77, the three numbers in order are?
Choices:
33, 132, and 66
66, 33, and 132
66, 132, and 33
132, 33, and 66
Answer: B
Question: If 6/w + 6/x = 6/y and wx = y, then the average (arithmetic mean) of w and x is
Choices:
1/2
2
4
8
Answer: A
Question: Peter invests $100,000 in an account that pays 10% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 10% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have?
Choices:
$471.31
$47.13
$4.71
Zero
Answer: A
Question: A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?
Choices:
30 days
23 days
35 days
45 days
Answer: C
Question: Machine A working alone can complete a job in 12 hours. Machine A+B working alone can do the same job in 15 hours. How long will it take machine B working at their respective constant rates to complete the job?
Choices:
70
60
50
90
Answer: B
Question: Kim finds a 3-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Choices:
3/5
8/15
1/2
7/5
Answer: A
Question: Of the votes cast on a certain proposal, 62 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
Choices:
290
300
310
320
Answer: C
Question: If [Y] denotes the least integer greater than or equal to Y and [Y] = 0, which of the following statements must be true?
Choices:
0 <= Y < 1
0 < Y <= 1
-1 < Y <= 0
-1 <= Y < 0
Answer: C
Question: X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
20:9
3:2
2:3
5:3
Answer: A
Question: An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 28 metre of cloth ?
Choices:
219 seconds
155 seconds
115 seconds
115 seconds
Answer: A
Question: The value of x + x(x^x) when x = 5 is
Choices:
15630
15400
15560
15605
Answer: A
Question: Find the missing number in the given sequence : 1,5,9,13,?,21,25,?
Choices:
15 & 27
16 & 28
17 & 29
15 & 30
Answer: C
Question: An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Choices:
5/9
9/19
4/9
2/5
Answer: B
Question: A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
Choices:
7.2
8.4
10
12
Answer: A
Question: The average of first five prime numbers greater than 10 is?
Choices:
16.6
31.3
19.2
15.7
Answer: A
Question: If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
Choices:
Rs.(xd)
Rs.(yd)
Rs.(yd/x)
Rs.(yx)
Answer: C
Question: How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 26%?
Choices:
60 ml
120 ml
130 ml
150 ml
Answer: C
Question: A room of 6m 00cm long and 8m 00cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
12
600
800
20
Answer: A
Question: Which of the following is not divisible by 3?
Choices:
15363
29340
30753
41715
Answer: D
Question: A 21% stock yielding 10% is quoted at :
Choices:
210
112
120
160
Answer: A
Question: Five years ago, the ratio of ages of P and Q was 3:2. Ten years from now, the ratio of their ages will be 6:5. What is P's age at present?
Choices:
20
30
35
40
Answer: A
Question: Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 16 kmph and 20 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
Choices:
36
50
32
38
Answer: B
Question: If a < b < c , which of the following must be true?
(I) a > b^2
(II) b − a < c
(III) a^2 < b^2 < c^2
Choices:
None
II only
III only
II and III
Answer: A
Question: If TIER is written as 7168 and BRAIN is written as 28415, how is RENT coded ?
Choices:
8657
2977
2790
2711
Answer: A
Question: A person want to give his money of $4500 to his 4 children A,B,C,D in the ratio 2:4:5:4. What is the A+B share?
Choices:
$2000
$1800
$1500
$1600
Answer: B
Question: 3,5,9,15,23,33,__
Choices:
45
65
34
25
Answer: A
Question: A manâ€™s current age is (2/5) of the age of his father. After 14 years, he will be (1/2) of the age of his father. What is the age of father at now?
Choices:
45
38
50
70
Answer: D
Question: At a meeting of 9 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
Choices:
27,820
30,240
33,120
36,580
Answer: B
Question: A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the student earned for the 20 days?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2
Choices:
(2) $320
(3) $378
(4) $240
(5) $296
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. What are the marks obtained by them?
Choices:
42 and 33
44, 33
44, 36
None of these
Answer: A
Question: The digit in unit's place of the product (459 ×46×28×484) is 2, the digit in place of * is
Choices:
5
7
9
11
Answer: B
Question: A cricket bat is sold for $850, making a profit of $205. The profit percentage would be
Choices:
25%
32%
36%
40%
Answer: B
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
Choices:
90
36
34
23
Answer: A
Question: The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
Choices:
5
15
20
25
Answer: A
Question: Which of the following no must added to 5678 to give a remainder of 35 when divided by 460?
Choices:
797
618
980
680
Answer: A
Question: An article costing rs.160 is sold at 5% discount on a mark-up price. What is the selling price after
discount?
Choices:
116
126
136
152
Answer: D
Question: A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 45-sided polygon have?
Choices:
945
1425
2025
2500
Answer: A
Question: Dany bought a total of 22 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
13
Answer: D
Question: A shipment of 8 TV sets contains 3 black and white sets and 5 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:
1/4
9/14
11/28
13/28
Answer: B
Question: In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 30, find the number?
Choices:
12102
12081
12108
10126
Answer: C
Question: Tough and Tricky questions: Statistics.
Set X consists of prime numbers {3, 11, 7, F, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
Choices:
16
17
20
26
Answer: B
Question: Dylan is on a road trip. He planned on arriving at his destination, 2150 miles away, in 6 days. In the first day, he traveled 310 miles. In the next three days, he travels 1140 miles. How many miles, on average, does Dylan need to travel in the next two days to reach his destination?
Choices:
340
350
360
370
Answer: C
Question: man is 36 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Choices:
26 years
17 years
34 years
22 years
Answer: C
Question: If n is a positive integer and n^2 is divisible by 212, then the largest positive integer that must divide n is
Choices:
12
24
36
48
Answer: C
Question: In a 280 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
Choices:
12 seconds
10 seconds
18 seconds
28 seconds
Answer: D
Question: Find the average of the series : 212, 152, 142, 132 and 112?
Choices:
150
267
207
174
Answer: A
Question: There are two numbers. If 20% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
Choices:
5/4
5/3
5/8
5/1
Answer: A
Question: In a hostel, the number of students decreased by 15% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
Choices:
15%
25%
40%
1.96%
Answer: D
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.2 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
Choices:
Six
Nine
Ten
Eleven
Answer: B
Question: The speeds of 3 cars in the ratio 2:3:4. The ratio between time taken by them to travel the same distance is?
Choices:
6:4:3
8:7:5
11:12:15
9:2:5
Answer: A
Question: What will come in place of the x in the following Number series? 65536, 32768, 16384, 8192, x
Choices:
4098
4094
4092
4096
Answer: D
Question: A train 100 meters long completely crosses a 350-meter long bridge in 40 seconds. What is the speed of the train in km/h?
Choices:
40.5 km/h
43.5 km/h
46.5 km/h
49.5 km/h
Answer: A
Question: The average age of 3 boys is 15 years and their ages are in the proportion 1:2:3. The age of the youngest boy is?
Choices:
12 years
15 years
18 years
7.5 years
Answer: D
Question: Rohan ranked eleventh from the top and twenty-seventh from the bottom among the students who passed the annual examination in a class. If the number of students who failed in the examination was 12, how many students appeared for the examination?
Choices:
49
50
Cannot be determined
None of these
Answer: A
Question: If -13 < 7a + 1 < 29 and 19 < 2 - b < 23, what is the maximum possible integer value of a + b?
Choices:
-18
-14
-13
-12
Answer: B
Question: In a weight-lifting competition, the total weight of Joe's two lifts was 600 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Choices:
275
300
350
400
Answer: B
Question: According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 2-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
Choices:
150
180
240
600
Answer: B
Question: Mohan paid a sum of money for purchasing 30 pens, which he recovered in full when he sold 15 of them. What was his percentage of profit or loss per pen?
Choices:
70%
80%
90%
100%
Answer: D
Question: If 5^10 x 2^10 = 10^n what is the value of n?
Choices:
14
12
10
18
Answer: C
Question: In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Choices:
640
690
710
720
Answer: D
Question: Pipe A can fill a tank in 7 hours, pipe B in 14 hours and pipe C in 42 hours. If all the pipes are open,in how many hours will the tank be filled ?
Choices:
4.2
4.5
4.3
4.1
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
188
188
12
Answer: A
Question: An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 3 ?
Choices:
1/3
1/2
2/3
5/6
Answer: C
Question: The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
Choices:
1 min
3 min
4 min
None
Answer: A
Question: The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 60, then 1/m + 1/n is equal to
Choices:
3/35
1/21
2/35
None
Answer: B
Question: On what dates of April, 2001 did Wednesday fall?
Choices:
4th, 11th, 18th, 25th
3rd, 10th, 17th, 24th
1st, 8th, 15th, 22nd, 29th
None of these
Answer: A
Question: The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?
Choices:
43
45
465
47
Answer: A
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 5?
Choices:
1/16
1/8
1/2
1/4
Answer: B
Question: If x = –2, what is the value of 4x^3?
Choices:
–32
–8
8
32
Answer: A
Question: Adam has s pairs of shoes, which is 1/2 as many as Katherine and twice as many as Julie. In terms of s, how many pairs of shoes do the three of them have combined?
Choices:
7/2*s
2s
5/2*s
13/4*
Answer: A
Question: A table is bought for Rs.800/- and sold at Rs.600/- find gain or loss percentage
Choices:
20% loss
20% gain
25% loss
None
Answer: C
Question: Two numbers are less than third number by 34% and 37% respectively. How much percent is the second number less than by the first
Choices:
10%
9%
11%
22%
Answer: D
Question: The average of first 10 prime numbers is?
Choices:
12.9
12.3
512.4
12.1
Answer: A
Question: The speed of a boat in still water is 12 kmph. What is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time?
Choices:
6 kmph
7 kmph
4 kmph
10 kmph
Answer: C
Question: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
Choices:
12000
15000
20000
25000
Answer: A
Question: A man is 20 mins late to the office if he walks at 20 kmph, and 15 mins earlier if he walks at 30 kmph. How much time will he be early/late if he walks at 25 kmph?
Choices:
early 1 min
late 1 min
late 2 min
none
Answer: A
Question: Calculate the value of 8.14 x 10^3 ?
Choices:
8140000
814000
8140
814
Answer: C
Question: The ratio of two numbers is 4 : 5 and their H.C.F. is 4. Their L.C.M. is
Choices:
22
80
27
35
Answer: B
Question: A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 12 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 12 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?
Choices:
450
460
468
475
Answer: B
Question: One out of every 5000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
Choices:
900
90,000
2250,000
900,000
Answer: C
Question: If Solomon distributes his toys in the ratio of 1/4 : 1/6 : 1/10 : 1/9 between his four friends A, B, C and D, then find the total number of toys Solomon should have?
Choices:
118.7
113.7
218.7
418.7
Answer: A
Question: Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
Choices:
Rs.1500
Rs.4500
Rs.2500
Nill
Answer: C
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 1/4 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:
1
1/2
2/3
6/5
Answer: A
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
277
288
200
812
Answer: C
Question: If y > 0, (1y)/20 + (3y)/10 is what percent of y?
Choices:
35%
60%
70%
80%
Answer: A
Question: This topic is locked. If you want to discuss this question please re-post it in the respective forum.
Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 14 days. In how many days Peter complete the work separately.
Choices:
27 days
23 days
35 days
24 days
Answer: C
Question: The average weight of 6 person's increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person?
Choices:
175 kg
180 kg
102 kg
190 kg
Answer: C
Question: If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?
Choices:
saturday
friday
wednesday
sunday
Answer: C
Question: -88 × 39 + 312 = ?
Choices:
3120
-3120
3200
3208
Answer: B
Question: Rob traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
Choices:
x=3z
y=2x
x=2y
y=3x
Answer: C
Question: A certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water. If between 9 and 16 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
Choices:
4
7
8
9
Answer: A
Question: An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?
Choices:
7500
3500
2500
4500
Answer: C
Question: In how many ways can the letters of the word, ‘LANGUAGE’ be arranged in such a way that the vowels always come together?
Choices:
700
720
750
780
Answer: B
Question: Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is?
Choices:
1/7
1/8
1/3
1/2
Answer: A
Question: What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?
Choices:
120
266
287
612
Answer: A
Question: Compound interest earned on a sum for the second and the third years are Rs.2500 and Rs.2625 respectively. Find the rate of interest?
Choices:
5% p.a.
15% p.a.
12.5% p.a.
None of these.
Answer: A
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
Choices:
68
67
69
54
Answer: A
Question: Jimmy has 18% more cookies than Janice. What percentage of cookies should Jimmy give to Janice so that both Jimmy and Janice have the same number of cookies?
Choices:
7.6%
9%
11%
12.2%
Answer: A
Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 60?
Choices:
30
40
42
70
Answer: A
Question: Rajan mixed 24 kg of butter at Rs. 200 per kg with 36 kg butter at the rate of Rs. 150 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
Rs.120
Rs.238
Rs.178
Rs.126
Answer: B
Question: How many 3 – digit number can be formed from the digit 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
Choices:
10
15
20
25
Answer: C
Question: Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?
Choices:
(k-m) %
[100(k-m)]/(100+k) %
[100(k-m)]/(100+m) %
[100(k-m)]/(100+k+m) %
Answer: C
Question: Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)Y can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Choices:
600
500
300
240
Answer: D
Question: A car is running at a speed of 80kmph. What distance will it cover in 20sec?
Choices:
440m
180m
200m
250m
Answer: A
Question: In what time will a train 120 m long cross an electric pole, it its speed be 121 km/hr?
Choices:
2.7
2.9
3.6
2.1
Answer: C
Question: Average of money that group of 4 friends pay for rent each month is $800.After one persons rent is increased by 20% the new mean is $870.What was original rent of friend whose rent is increased?
Choices:
1400
1000
1100
1200
Answer: A
Question: Find the 25% of Rs. 800.
Choices:
s. 200
s. 100
s. 80
s. 60
Answer: A
Question: Find out the square of a number which when doubled exceeds its quarter by 7 ?
Choices:
16
19
26
17
Answer: A
Question: In order to fence a square Manish fixed 48 poles. If the distance between two poles, is 6 metres then what will be the area of the square so formed?
Choices:
2600 cm2
5184 cm2
3025 cm2
None of these
Answer: B
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 5:4. The ratio of economy cars to sport utility vehicles is 3:2. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:9
6:5
2:3
1:2
Answer: B