antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?
Choices:
1/18
63/64
1/9
1/4
Answer: A
Question: The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.2210. The perimeter of the plot is?
Choices:
156
340
321
260
Answer: B
Question: The radius of the two circular fields is in the ratio 4: 10 the area of the second field is what percent greater than the area of the first?
Choices:
96%
94%
84%
82%
Answer: C
Question: If y = 35p, and p is prime, what is the greatest common factor of y and 42p, in terms of p?
Choices:
2p
5p
7p
p^2
Answer: C
Question: A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
Choices:
11
27
29
271
Answer: A
Question: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Choices:
1015
1022
1032
1122
Answer: A
Question: If every 2 out of 3 readymade shirts need alterations in the sleeves, and every 4 out of 5 need it in the body, how many alterations will be required for 60 shirts ?
Choices:
123
133
143
153
Answer: B
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
230
67
120
Answer: A
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
128 ways
100 ways
108 ways
208 ways
Answer: C
Question: A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
Choices:
1100
1500
1700
1600
Answer: B
Question: In a dairy farm, 50 cows eat 50 bags of husk in 50 days. In how many days one cow will eat one bag of husk ?
Choices:
40 days
46 days
50 days
None of these
Answer: C
Question: Given that 2x + 13 > 5 and 5x - 13 < 7, all values of x must be between which of the following pairs of integers?
Choices:
-4 and 4
-4 and 1
-2 and 5
2 and 5
Answer: A
Question: If (2/3)^n=(3/2)^3, what is the value of n?
Choices:
-3
-1
0
1
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Choices:
Rs. 10,000
Rs. 15,000
Rs. 20,000
Rs. 25,000
Answer: B
Question: Q. How many 8-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5, 5, 6, 6?
Choices:
240
210
270
300
Answer: C
Question: If a and b are odd integers, which of the following is an even integer?
Choices:
3(2a+b)+2a
3(2a+b)+a+b
3(2a+b)+7a-b
3(2a+b)+ab
Answer: D
Question: If the probability of Sita getting selected to a school is 20% and she applied to 3 schools. What is the probability that she will get selected in at least one school?
Choices:
21/125
61/125
12/125
18/125
Answer: B
Question: Find the largest number of four digits which is exactly divisible by 27,18,12,15
Choices:
9710
9720
9520
7500
Answer: B
Question: Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $124 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?
Choices:
720
1080
1200
1800
Answer: D
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
Choices:
12 1/2 days
8.5 days
2 days
11.5 days
Answer: A
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Choices:
13 1/3
13 1/2
13 1/1
13 1/7
Answer: A
Question: Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 181 cms. What was the ratio of men to women?
Choices:
5:1
4:3
4:1
10:1
Answer: D
Question: The greatest common factor of two numbers is 4!. Which of the following can be the second number, if one of the numbers is 8!?
Choices:
4(5!)
5(5!)
6(5!)
4(4!)
Answer: D
Question: Thomas bought a pack of eleven computers for Rs. 500000 and sold it for Rs.550000. What is the % of profit he is making per computer?
Choices:
10
19
21
25
Answer: A
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
Choices:
306.03
306.04
306.01
306.09
Answer: B
Question: Convert 600 miles into meters?
Choices:
845796
965604
784596
864520
Answer: B
Question: Insert the missing number.
3, 7, 6, 5, 9, 3, 12, 1, 15, (....)
Choices:
7
-1
8
-45
Answer: B
Question: If BOMBAY is written as MYMYMY, how will TAMIL NADU be written in that code?
Choices:
IATIATIAT
MNUMNUMNU
ALDALDALD
None of these
Answer: B
Question: An bus covers a certain distance at aspeed of 240 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Choices:
650 km/hr
690 km/hr
710 km/hr
720 km/hr
Answer: D
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?
Choices:
277
120
888
171
Answer: B
Question: A man can row downstream at the rate of 26 Kmph and upstream at 12 Kmph. Find the man’s rate in still water and rate of current?
Choices:
8.0
9.5
7.0
8.25
Answer: C
Question: A car is running at a speed of 120kmph. What distance will it cover in 12sec?
Choices:
396m
180m
200m
250m
Answer: A
Question: The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
56
78
25
23
Answer: B
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit?
Choices:
23000
24000
25000
30000
Answer: D
Question: A trader mixes 25 kg of rice at Rs. 20 per kg with 25 kg of rice of other variety at Rs. 30 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
Choices:
5%
8%
20%
None of these
Answer: C
Question: RAM and GOPAL invested in a business. They earned some profit which they divided in the ratio of 1:2. If RAM invested Rs.25, 000, the amount invested by GOPAL is:
Choices:
Rs. 50,000
Rs. 80,000
Rs. 90,000
Rs. 60,000
Answer: A
Question: A company has 15 managers and 75 associates. The 15 managers have an average salary of $90,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?
Choices:
$40,000
$55,000
$65,000
$75,000
Answer: A
Question: Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
Choices:
1/7
1/5
1/4
1/3
Answer: A
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 30 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
255$
420$
450$
480$
Answer: A
Question: A cycle is bought for Rs.1120 and sold for Rs.1200, find the gain percent?
Choices:
7%
6%
1%
8%
Answer: A
Question: A man in train notice that he can count 51 telephone posts in 1 minute. If they are known to be 80 meters apart,then at what speed is the train traveling?
Choices:
110km/hr
240km/hr
150km/hr
200km/hr
Answer: B
Question: A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
70
140
165
252
Answer: D
Question: A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?
Choices:
6
8
9
None of these
Answer: B
Question: A car covers a distance of 720 km in10 hrs. What is its speed in mps.
Choices:
25 m/s
20 m/s
15 m/s
16 m/s
Answer: B
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16, 28, 36
20, 35, 45
20, 45, 55
None of these
Answer: A
Question: If x, y, and z are all factors of 35, which of the following must be true?
Choices:
Either x = y, y = z, or x = z
x – y – z = even
The product xyz is odd
yz/x is an integer
Answer: C
Question: In how many different ways can the letters of the word ‘PREPTY’ be arranged?
Choices:
240
260
280
360
Answer: D
Question: The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, find out the value of x
Choices:
14
15
16
17
Answer: C
Question: What is the maximum number of pieces of birthday cake of size 3” by 3” that can be cut from a cake 21” by 21”?
Choices:
7
49
20
25
Answer: B
Question: If an item that originally sold for r dollars was marked up by p percent and then discounted by q percent, which of the following expressions represents the final price of the item?
Choices:
(10,000r + 100r(p – q) – pqr)/10,000
(100r(p – q) – pqr)/10000
(100r(q – p) – pqr)/10000
10000 /(p – q)
Answer: A
Question: The product of n consecutive positive integers is always divisible by?
Choices:
(n+1)!
2n +1
n!
n^2 + 1
Answer: C
Question: A bag marked at $240 is sold for $120. The rate of discount is?
Choices:
25%
20%
50%
45%
Answer: C
Question: What is the sum of odd integers from 20 to 80, inclusive?
Choices:
1,550
1,240
1,120
1,100
Answer: A
Question: A box contains 2 white, 3 black and 5 red balls. In how many ways can three balls be drawn from the box if at least one black ball is to be included in the draw?
Choices:
85
27
19
17
Answer: A
Question: Adam, Bryan, Chris, and David are all basketball players. An unknown habit of Adam's is to score 7 more than half as many points as Bryan. Bryan is their star player and will always score at least 50 points plus Chris' score. Chris is a consistent player in that he will score twice as many points as David. Write a general equation that shows the total score of these four players in a game in terms of David, D
Choices:
82 +6D
82 +8D
8D
50+4D
Answer: A
Question: A mixture of 70 lts. Of wine and water contains 10% of water. How much water must be added to make 37% of the resulting mixture?
Choices:
30
32
33
34
Answer: A
Question: In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8. If the shop carries 330 dogs and bunnies total in stock, how many dogs are there?
Choices:
66
98
112
154
Answer: D
Question: During a sale, the price of a pair of shoes is marked down 14% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Choices:
10%
11%
16%
90%
Answer: C
Question: A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.85 less, he could have gained 25%. What is the cost price?
Choices:
375
278
425
288
Answer: C
Question: A car covers a distance of 600 km in 6 hours. Find its speed?
Choices:
100
266
288
121
Answer: A
Question: If two sides of a triangle have lengths 10 and 8, which of the following could be the perimeter of the triangle? I. 29 II. 26 III. 30
Choices:
I only
II only
III only
I, II, and III
Answer: D
Question: The function f is defined for all the positive integers n by the following rule: f(a) is the number of positive integers each of which is less than a and has no positive factor in common with a other than 1 . if p is a prime number then f(p)?
Choices:
p-1
(p+1)/2
(p-1)/2
2
Answer: A
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
72
72.5
73
94.7
Answer: D
Question: A rectangular circuit board is designed to have width w inches, perimeter p inches, and area x square inches. Which of the following equations must be true?
Choices:
w^2 - pw + 2x = 0
2w^2 + pw + 2x = 0
2w^2 - pw - 2x = 0
2w^2 - pw + 2x = 0
Answer: D
Question: All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 98 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?
Choices:
39
42
45
48
Answer: B
Question: In a group of 80 children and 17 youngsters, each child got sweets that are 15% of the total number of children and each youngster got sweets that are 25% of the total number of children. How many sweets were there?
Choices:
1160
1180
1300
1210
Answer: C
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 10km?
Choices:
5
8
9
6
Answer: A
Question: A librarian has a set of seven books, including four different books about Abraham Lincoln. The librarian wants to put the seven books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other three books. How many different arrangements of the seven books are possible?
Choices:
(4!)(3!)
(4!)(4!)
(4!)(7!)
(4!)(3!)(7!)
Answer: B
Question: A committee of 3 people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
Choices:
24
26
30
32
Answer: D
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:
350 m
25 m
30 m
35 m
Answer: A
Question: Can you find the missing number in the sequence given below?
11 14 17 12 15 ? 13 16 19 14 17 20
Choices:
21
18
23
24
Answer: B
Question: In a drawer there is a number of pair of socks, out of which 1/5 are white pairs, 1/10 are black pairs, and the remaining 7 pairs are red. How many white socks are in the drawer?
Choices:
2
1
7
4
Answer: D
Question: How many of the following numbers are divisible by 3 but not by 9.
4320, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Choices:
6
7
8
9
Answer: A
Question: Find the sum of first 16 natural numbers
Choices:
136
465
463
485
Answer: A
Question: A committee has 5 men and 6 women. What are the number of ways of selecting 3 men and 2 women from the given committee?
Choices:
150
250
300
350
Answer: A
Question: After decreasing 24% in the price of an article costs Rs.836. Find the actual cost of an article?
Choices:
2777
1100
2688
1991
Answer: B
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
Choices:
A)1235
C)1065
D)1075
E)1080
Answer: A
Question: A Winson's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
Choices:
1:2
1:1
3:2
5:3
Answer: A
Question: Find the average of all the numbers between 6 and 36 which are divisible by 5.
Choices:
20
24
30
22.5
Answer: D
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8091 for a computer table, then what was the cost price of the computer table?
Choices:
2977
2871
6725
6525
Answer: D
Question: One week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50% of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 10 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Choices:
20
12
8
4
Answer: A
Question: 2x + y = 20
|y| <= 20
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers?
Choices:
17
19
21
25
Answer: C
Question: 998 x 998 = ?
Choices:
1000000
996004
4000
996008
Answer: B
Question: Solve for x: 2x – y = (3/4)x + 6.
Choices:
4(y + 6)/5
(y + 6)
4(y - 6)/5
2(y - 6)/5
Answer: A
Question: If 0 < x < 1 < y, which of the following must be true?
Choices:
1/x < 1 < 1/y
1/x < 1/y < 1
1/y < 1 < 1/x
1/y < 1/x < 1
Answer: C
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Choices:
Rs.220
Rs.228
Rs.205
Rs.202
Answer: C
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
130
120
110
Answer: A
Question: Zayn, Mark, David ,Peter, Harry and Paula line up at a ticket window. In how many ways can they arrange themselves so that David is second in line from the window?
Choices:
b 112
c 90
d 120
e 30
Answer: C
Question: If m / p is an integer, which of the following statements must be true?
Choices:
p is an integer
both m and p are integers
either m or p is negative
m = np where n is an integer
Answer: D
Question: A box contain 12 chocolates and 10 biscuit packets .What is the probability that one chocolate is selected is:
Choices:
10/22
21
5/22
6/11
Answer: D
Question: Look at this series: 2.2, 2.5, 2.8, 3.1, ... What number should come next?
Choices:
3.3
3.4
3.5
3.6
Answer: B
Question: For a positive integer n, let Pn denote the product of the digits of nn and Sn denote the sum of the digits of nn. The number of integers between 10 and 100 for which Pn+Sn=n
Choices:
3
9
12
None
Answer: B
Question: 2 friends X & Y walk from A to B at a distance of 39 miles at 3 miles/hr and 3.5 miles/hr respectively. Y reaches B, returns immediately and meets X at ‘C’ . find distance from A to C.
Choices:
39 km
35 km
36 km
34 km
Answer: C
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 90% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Choices:
75%
86%
97%
150%
Answer: C
Question: Finch has s pairs of shoes, which is 1/6 as many as Guptil and twice as many as S.Smith. In terms of s, how many pairs of shoes do the three of them have combined?
Choices:
15/2*s
14s
3s
13/2*s
Answer: A
Question: What is the sum of all the multiples of 10 between 0 and 120?
Choices:
620
450
340
780
Answer: D
Question: If n=5p where p is a prime number greater than 1, how many different positive even divisors does n have, WITHOUT N VALUE?
Choices:
1
3
45
5
Answer: A
Question: In a sports club with 35 members, 15 play badminton and 18 play tennis and 5 do not play either. How many members play both badminton and tennis?
Choices:
3
6
7
8
Answer: A
Question: If 6th March, 2013 is Wednesday, what was the day of the week on 6th March, 2012?
Choices:
Saturday
Tuesday
Wednesday
None of these
Answer: B
Question: In Winchard's company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
Choices:
43.0
46.0
49.0
50.0
Answer: A
Question: Jason flips a coin three times. What is the probability E that the coin will land on the same side in all three tosses?
Choices:
1/8
1/4
1/3
1/2
Answer: B
Question: Two numbers when divided by a divisor leave remainders of 218 and 342 respectively. The remainder obtained when the sum of the numbers is divided by the same divisor is 68. Find the divisor.
Choices:
423
492
512
602
Answer: B
Question: If Packard reads at a constant rate of 4 pages every 5 minutes, how many seconds will it take him to read N pages?
Choices:
75
5/2*N
24N
150
Answer: A
Question: Four friends built a colony for themselves. They built their own houses at different distances from each other.
Chris lived 60 km away from Alex.
Darren lived 40 km away from Bill.
Chris lived 10 km nearer to Darren than he lived to Bill.
Can you find out how far was Darren's house from Alex?
Choices:
65 km.
75 km.
85 km.
95 km.
Answer: B
Question: A 700-level question for the GMAT committed souls studying over the weekend.
If a and b are distinct integers and a^b=b^a, how many solutions does the ordered pair (a, b) have?
Choices:
1
2
4
Infinite
Answer: A
Question: If a man crosses a 400 m long street in 5 minutes. What is his speed?
Choices:
7.1 km/hr
7.2 km/hr
4.8 km/hr
8.5 km/hr
Answer: C
Question: If x + y = 8 and y − 3x = 7, then what is the value of y-x?
Choices:
3
15
15/2
60/7
Answer: C
Question: The length and breadth of a rectangle is increased by 5% and 15% respectively. What is the increase in the area?
Choices:
22.75
19.25
20.75
22.25
Answer: C
Question: The average of five numbers is 30. If one number is excluded, the average becomes 28. The excluded number is?
Choices:
6
38
35
96
Answer: B
Question: If the price of a book is first decreased by 50% and then increased by 60%, then the net change in the price will be?
Choices:
20% decrease
10% decrease
15% increase
25% decrease
Answer: A
Question: Superman flied 200 miles in 1 hour 1 minute. What was the average speed of Superman?
Choices:
170.3 miles / hour
196.72 miles / hour
160 miles / hour
150 miles / hour
Answer: B
Question: Two circular blocks are placed one above the other. Block A at the bottom has a diameter of 24 cm. Block B at the top has a diameter of 16 cm. What fraction of Block A's surface is not covered by Block B?
Choices:
2/3
2/9
18/20
4/5
Answer: B
Question: 81,162,49,98,25,50,64
Choices:
127
129
128
131
Answer: C
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 40 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
60 mph
Answer: D
Question: Salesperson A's compensation for any week is $240 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
Choices:
$9000
$11,000
$13,000
$15,000
Answer: A
Question: A train passes a station platform in 21 seconds and a man standing on the platform in 15 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
277
90
88
112
Answer: B
Question: Evaluate combination
11C3
Choices:
1000
165
1
0
Answer: B
Question: The present ratio of students to teachers at a certain school is 40 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Choices:
5
10
12
15
Answer: A
Question: There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'L', then how many triangles can be determined with the 15 points that contain the point L?
Choices:
105
182
210
455
Answer: B
Question: Choose the number pair/group which is different from others?
Choices:
8 : 38
8 : 33
8 : 32
8 : 31
Answer: B
Question: A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
Choices:
77 days
24 days
17 days
18 days
Answer: B
Question: Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10
Choices:
15
17
20
21
Answer: C
Question: If pqr = 1 , rqt = 0 , and tpr = 0, which of the following must be zero?
Choices:
Q
R
S
T
Answer: D
Question: If q is an integer, what is the greatest possible value for q that would still make the following statement true: 11*10^q < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
Choices:
5/9
5/4
5/1
5/3
Answer: A
Question: In a certain year, the population of a certain town was 9000. If in the next year the population of males increases by 3% and that of the females by 9% and the total population increases to 9600, then what was the ratio of population of males and females in that given year?
Choices:
7 : 11
2 : 3
Data inadequate
None of these
Answer: A
Question: Find the greatest number that will divide 54, 87 and 172 so as to leave the same remainder in each case
Choices:
3
15
1
2
Answer: C
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.42 per litre so as to make a profit of 20% on cost when he sells the resulting milk and water mixture for Rs.48 In what ratio should he mix the water and milk?
Choices:
1:20
1:8
1:4
6:11
Answer: A
Question: If the average marks of three batches of 45, 68 and 55 students respectively is 50, 55, 60, then the average marks of all the students is
Choices:
55.29
54.6
54.58
None of these
Answer: A
Question: The average of first five multiples of 3 is :
Choices:
9
12
15
17
Answer: A
Question: A bus takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2 th of the previous time?
Choices:
60 Kmph
80 Kmph
84 Kmph
86 Kmph
Answer: A
Question: Evaluate 50!/47!
Choices:
112584
117600
118450
128450
Answer: B
Question: In the next Worldcup of cricket there will be 12 teams, divided equally in 2groups. Teams of eachgroup will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. 4top teams of this round will qualify for the semifinal round, where they play the best of 3matches. The Minimum number of matches in the next World cup will be
Choices:
36
53
59
61
Answer: B
Question: In how many ways can 5 men & 4 women can be made from a gang of 7 men & 8 women ?
Choices:
91
97
86
90
Answer: A
Question: A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 35 adults have their meal, find the total number of children that can be catered with the remaining food.
Choices:
54
18
45
01
Answer: C
Question: On his first 5 tests, David received an average score of N points. If on his sixth test, he exceeds his previous average score by 36 points, what is his average score for his first 6 tests?
Choices:
N +6
N +3
N +8
N +18
Answer: A
Question: What number has a 5:1 ratio to the number 10?
Choices:
50
99
77
21
Answer: A
Question: Each side of a rectangular field diminished by 40%. By how much per cent is the area of the field diminished?
Choices:
64
25
16
None
Answer: A
Question: A certain club has 10 members, including Jarry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Jarry will be either the member chose to be secretary or the member chose to be treasurer?
Choices:
1/80
1/10
1/9
1/5
Answer: D
Question: In how many ways can be 8 boys and 8 girls sit around circular table so that no two boys sit next to each other?
Choices:
(6!)^2
7!8!
11!
(5!)^2*6!
Answer: B
Question: Out of first 35 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Choices:
7/35
37/70
27/35
27/70
Answer: C
Question: A small pool filled only with water will require an additional 600 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 600 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
1250
1300
1600
2000
Answer: D
Question: Chris mixed 3 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 2 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Choices:
1/5
1/4
1/3
3/11
Answer: D
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choices:
200
276
280
279
Answer: A
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $24. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Choices:
987.4
877.2
1027.2
1667.2
Answer: C
Question: Three partners A,B and C invest Rs.18000, Rs.22500 and Rs.27000 respectively in a business. If total profit is Rs.12000 then A's share is (in Rs.)
Choices:
6500
5000
3200
1500
Answer: C
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 14% less than the price each head sold for the day before.what was the gross profit on this shipment?
Choices:
$115
$125
$130
$135
Answer: A
Question: Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum M in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is
Choices:
90%
70%
60%
40%
Answer: A
Question: 0.007 x 0.45=?
Choices:
0.000315
0.315
0.0315
0.00315
Answer: D
Question: Josiah had $42,895.39 in his savings account. He wanted to make a $10,000 deposit on a new car. The car was priced at $85,216.78. The interest rate that Josiah will be paying back, for having the vehicle financed, is 8.99%. What is the total amount that Josiah would have paid on the total cost (including financed amount (interest)) on the vehicle minus $10.000 deposit?
Choices:
92,877.77
1.29
120,261.53
60,487.15
Answer: A
Question: A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
2 2/3
2 2/8
2 2/5
2 2/1
Answer: A
Question: A line that passes through (–2, –4) and (3, k) has a slope = k. What is the value of k?
Choices:
1
4/3
2
7/2
Answer: A
Question: The average age of 30students in a class is 5years. If teacher's age is also included then average increases 1year then find the teacher's age?
Choices:
55
61
45
36
Answer: D
Question: If x + (1/x) = 5, what is the value of R=x^2 + (1/x)^2?
Choices:
R=22
R=23
24
27
Answer: B
Question: An error 5% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square?
Choices:
4.02%
4%
10.28%
2%
Answer: C
Question: Solve the equation for x : 19(x + y) + 17 = 19(-x + y) - 21
Choices:
-1
2
-2
3
Answer: A
Question: A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
Choices:
Rs.250
Rs.275
Rs.200
Rs.100
Answer: A
Question: At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $70,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the silver employees?
Choices:
$28,000
$32,000
$36,000
$40,000
Answer: D
Question: A train sets off at 2 p.m. at the speed of 50 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 65 kmph. At what time the trains will meet?
Choices:
8.20 p.m
8.30 p.m
8.38 p.m
8.10 p.m
Answer: B
Question: What percent is 4 gm of 1 kg?
Choices:
0.4 %
2.5 %
3.5 %
4 %
Answer: A
Question: A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 6 points if you must draw exactly 4 “low” cards?
Choices:
2
3
4
5
Answer: D
Question: Running at the same constant rate, 100 identical machines can produce a total of 500 coffee bar per minute. At this rate, how many bottles could 20 such machines produce in 2 minutes?
Choices:
220
330
200
789
Answer: C
Question: Two workers completed the painting of a building in 10 days. If they were to paint the building separately, how many days will it take each worker, if one of them can complete it in approximately 2 days earlier than the other.
Choices:
19 and 21
8 and 10
10 and 15
10 and 12
Answer: A
Question: On Sunday, the original price of a shirt was discounted by 20%. On Monday, the price of the shirt was marked up L percent so that the new price on Monday was 20% more than the original price before the discount. What is the value of L?
Choices:
30%
33 1⁄3%
40%
50%
Answer: D
Question: A certain set of test scores has an average (arithmetic mean) of 70 and a standard deviation of 25. If m and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the average of m and n?
Choices:
14
17
19
21
Answer: D
Question: A money lender lends Rs.1200 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Choices:
1978
2834
1323
2781
Answer: C
Question: In a 60 liters of mixture of spirit and water, water is 7 %. In order to make water 19%, how much water should be added?
Choices:
80/9 liters
90/9 liters
60/9 liters
85/9 liters
Answer: A
Question: A radio station has to choose five days of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed?
Choices:
15
21
35
56
Answer: B
Question: 10 men and 15 women together can complete a work in 8 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Choices:
667 days
177 days
187 days
600 days
Answer: D
Question: The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
12/35
35/8
7/32
7/33
Answer: A
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:1
4:9
4:2
Answer: A
Question: Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
Choices:
4 hrs 24 min
4 hrs 34 min
3 hrs 34 min
4 hrs 14 min
Answer: A
Question: Tina’s cat weighs 2.6 kilograms. Her dog weighs 8 times as much as her cat. How much does her dog weigh in kilograms?
Choices:
B)20.8kg
C)22kg
D)48kg
E)20kg
Answer: A
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 150. The amount of the bill is
Choices:
1764
1400
1354
None of these
Answer: B
Question: Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.
Choices:
56
16
8
7
Answer: A
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 18, what is the total amount?
Choices:
70
178
177
169
Answer: A
Question: (3136 + 6160) / 28
Choices:
350
332
310
None of these
Answer: B
Question: Each Machine of type A has 4 steel parts and 2 chrome parts. Each machine of type B has 2 steel parts and 1 chrome parts. If a certain group of type A and type B machines has a total of 30 steel parts and 33 chrome parts, how many machines are in the group
Choices:
13
14
16
19
Answer: C
Question: Machines P and Q are two different machines that cover jars in a factory. When Machine P works alone, it covers 5 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 5 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 5 jars?
Choices:
5n/25-mn
m-n
m
n
Answer: A
Question: A can do a certain job in 18 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Choices:
11 1/4 days
5 days
9 days
None of them
Answer: A
Question: If the digits 31 in the decimal 0.00031 repeat indefinitely, what is the value of (10^5-10^3)(0.00031)?
Choices:
31
0.0031
0.00031
3.1e-05
Answer: A
Question: 1.5, 2.5, 4.5, 7.5, 11.5, (....)
Choices:
16.5
14.5
17.5
17
Answer: A
Question: Source: Knewton
A cyclist's speed varies, depending on the terrain, between 6.0 miles per hour and 14.0 miles per hour, inclusive. What is the maximum distance, in miles, that the cyclist could travel in 5 hours?
Choices:
56
70
98
140
Answer: B
Question: What is the probability of flipping a fair coin six times and the coin landing on heads on at least two flips?
Choices:
23/32
29/32
51/64
57/64
Answer: D
Question: What number should replace the question mark?
100, 93, 79, 58, ?
Choices:
30
37
33
17
Answer: A
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
40%
55%
60%
Answer: A
Question: With what number must 0.987 be multiplied in order to obtain the number 987?
Choices:
1,000
10,000
100,000
None of these
Answer: A
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
277
216
287
Answer: A
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 245. What was Simran share in the profit?
Choices:
s 10,000
s 125.00
s 105.00
s 140.00
Answer: C
Question: Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Choices:
3.6%
4.4%
5%
6.0%
Answer: C
Question: A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?
Choices:
3/5
3/7
4/9
4/11
Answer: B
Question: The average (arithmetic man) of three integers a, b, and c is exactly poland the median. If a < b < c and a = 0, what is the value of c/b?
Choices:
3
8
5
Cannot be determined from the information given.
Answer: B
Question: A car traveled 80% of the way from Town X to Town Y at an average speed of 80 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
Choices:
35
45
55
20
Answer: D
Question: A wears black shoes 25% of the time while B wears black shoes 68% of the time. 20% of the time A and B wear black shoes on the same day. Over a period of 100 days, how many days will they both not have black shoes?
Choices:
27%
45%
17%
80%
Answer: A
Question: A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
Choices:
Rs.46
Rs.40
Rs.41
Rs.34
Answer: B
Question: If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 370 will be:
Choices:
Rs. 200
Rs. 100
Rs. 350
None of these
Answer: B
Question: An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 18 as commission, the cloth sold through him on that day is worth
Choices:
500
887
720
132
Answer: C
Question: A circular plate with a diameter of 10 inches is kept on another plate of 12 inches diameter. What fraction of the big plate's surface is not covered by the small plate?
Choices:
11/36
5/14
22/11
3/4
Answer: A
Question: A , B and C are standing on a circular track of 4300m such that A and C are diametrically opposite and B is in between A and C .There clockwise order are ABC , B and C runs clockwise while A runs anti-clockwise .If the speed of A B and C are 5m/s , 8m/s and 10m/s respectively . They all start running at 10:00 AM. calculate the distance covered by B when A and C meet for the first time after 10:05AM .
Choices:
3440 metres
3640 metres
4440 metres
2440 metres
Answer: A
Question: Janey covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
Choices:
2 hours
2 hours 30 minutes
3 hours
None of these
Answer: C
Question: A circular rim 50 inches in diameter rotates the same number of inches per second as a circular rim 15 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:
75x
48x
24x
200x
Answer: D
Question: 8^100 is divisible by 17 then find the remainder?
Choices:
10
16
17
18
Answer: B
Question: I chose a number and divide it by 4. Then I subtracted 175 from the result and got 10. What was the number I chose?
Choices:
740
780
500
100
Answer: A
Question: There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green?
Choices:
3/25
4/41
4/23
8/21
Answer: D
Question: The total age of A and B is 17 years more than the total age of B and C. C is how many years younger than A ?
Choices:
27
21
17
11
Answer: C
Question: The operation # is defined for all nonzero x and y by x#y = x + x/y. If S>0, then 1#(1#S) =
Choices:
S+1
S/(S+1)
(S+2)/(S+1)
(2S+1)/(S+1)
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:
8%
4%
3%
5%
Answer: B
Question: The larger of two negative consecutive even integers 2t and 2(t-1) is multiplied by 4 and then added to the smaller of the two original integers. Which of the following represents this operation?
Choices:
10t-2
-2
3
-2-4t^2
Answer: A
Question: Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 20 seconds and his sister’s time is currently 9 minutes 36 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister?
Choices:
5%
7%
10%
12%
Answer: B
Question: If n = 2ef, where e and f are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 140 six-ounce servings of orange juice?
Choices:
14
16
18
20
Answer: A
Question: A hexagon of side a cm is folded along its edges to obtain another hexagon
What is the % decrease in the area aof orignal hexagon
Choices:
50%
75%
80%
90%
Answer: B
Question: What is the average (arithmetic mean) of all multiples of 10 from 10 to 400 inclusive?
Choices:
195
200
205
210
Answer: C
Question: A firm is comprised of partners and associates in a ratio of 2:63. If 45 more associates were hired, the ratio of partners to associates would be 1:34. How many partners are currently in the firm?
Choices:
14
16
18
20
Answer: C
Question: If 35% of a number is 24 less than 50% of that number, then the number is ?
Choices:
450
160
170
185
Answer: B
Question: A single discount equivalent to the discount series of 16%, 10% and 5% is?
Choices:
28.18
41.6
31.4
31.1
Answer: A
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
134
132
145
150
Answer: B
Question: A grocer has a sale of Rs. 435, Rs. 927, Rs. 855, Rs. 230 and Rs. 562 for 5 consecutive days. How much sale must he have in the sixth day so that he gets an average sale of Rs. 625?
Choices:
Rs 741
Rs 6001
Rs 6991
None of these
Answer: A
Question: When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 4/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Choices:
4/3 n
3/2 n
9/4 n
7/3n
Answer: D
Question: Four people each roll a die once. Find the probability that at least two people will roll the same number?
Choices:
13/18
15/18
16/18
17/18
Answer: A
Question: Gary’s Gas Station serves an average of 16 cars per hour on Saturdays, 10 cars per hour on Sundays, and 9 cars per hour on all other days of the week. If the station is open from 6 a.m. to 10 p.m. every day, how many cars does Gary’s station serve over the course of a typical week?
Choices:
1,136
1,240
1,280
1,320
Answer: A
Question: Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 5 minutes A is turned off. After how much more time will the cistern be filled?
Choices:
8 1/1
3 3/4
8 1/2
8 3/7
Answer: B
Question: Along a yard 434 metres long, 32 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees
Choices:
14
10
11
12
Answer: A
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
92
82
28
Answer: A
Question: Find the least number must be subtracted from 378461 so that remaining no.is divisible by 13?
Choices:
5
7
6
8
Answer: A
Question: Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability T that private Benjamin will be chosen for latrine duty?
Choices:
1/5
2/5
3/5
4/5
Answer: B
Question: Speed of a boat in standing water is 10kmph and speed of the stream is 2kmph. A man can rows to a place at a distance of 100km and comes back to the starting point. The total time taken by him is?
Choices:
21hr 30min
20hr 50min
18hr 15min
22hrs
Answer: B
Question: A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour he catches and eats x kilos of plankton. In every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. If by the end of the frenzy the whale will have consumed a whopping accumulated total 270 kilos of plankton, how many kilos did he consume on the sixth hour?
Choices:
33
50
53
62
Answer: A
Question: If 8 men or 12 women can do a piece of work in 15 days, in how many days can the same work be done by 6 men and 11 women?
Choices:
9 days
13 days
15 days
17 days
Answer: A
Question: The difference between the place values of 9 and 4 in the number 927435 is
Choices:
899600
875200
896200
None
Answer: A