antoine-444/aqua_rat_dataset huggingface dataset:
Question: Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/4 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
Choices:
7/12
17/30
19/30
11/15
Answer: A
Question: A company selects an employee at his 25th age and offers salary as Rs.40000 per
annum for first 2 years. Afterwards, every year he gets increment of Rs.4000 for
next 15 years and his salary become constant till his retirement. If Rs.80,000 is
his average salary (throughout his career) then at what age he retires?
Choices:
49
50
52
53
Answer: C
Question: In a certain sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
Choices:
5/8
8/5
5/3
9/2
Answer: B
Question: A pipe can empty 2/3rd of a cistern in 12 mins. In 8 mins, what part of the cistern will be empty?
Choices:
2/3
4/9
4/7
5/9
Answer: B
Question: Nr Books bought Nr of People
1 5
3 2
4 7
6 3
What is the median of books bought per person?
Choices:
b) 4
c) 6
d) 8
e) 18
Answer: A
Question: The averageincome of M and N is Rs. 5050. The average monthly income of N and O is Rs. 6250 and the average monthly income of M and Ois Rs. 5200. The income of M is?
Choices:
Rs. 3000
Rs. 4000
Rs. 4500
Rs. 5000
Answer: B
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
Rs527
Rs598
Rs540
Rs516
Answer: C
Question: Find the average of all the numbers between 17 and 32 which are divisible by 3.
Choices:
18
20
26
None
Answer: C
Question: In a barrel of juice there is 40 liters; in a barrel of beer there are 80 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer?
Choices:
3:2.
3:1.
4:3.
3:4.
Answer: A
Question: The average weight of 8 person's increases by 6 kg when a new person comes in place of one of them weighing 40 kg. What might be the weight of the new person?
Choices:
85 kg
90 kg
88 kg
110 kg
Answer: C
Question: In a company the manager wants to give some gifts to all of the workers. In each block there are about 100 workers are there. The total amount for giving the gifts for all the workers is $4000. The worth of the gift is $4. How many blocks are there in the company?
Choices:
10
15
17
20
Answer: A
Question: Mary can do a piece of work in 28 days. Rosy is 40% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?
Choices:
24
20
25
27
Answer: B
Question: A certain restaurant offers 6 different salads, 4 different main courses, and 7 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
Choices:
388
436
504
520
Answer: C
Question: In how many ways can Nicole distribute 20 chocolates among Ben, Kate, Mark and Tom so that each receives at least one?
Choices:
19C3
21C4
21C3
None of the answers is correct
Answer: A
Question: 8k8
+ k88
--------
1,6r6
If k and r represent non-zero digits within the integers above, what is r?
Choices:
6
8
9
17
Answer: A
Question: A and B started a partnership business investing some amount in the ratio of 2 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
Choices:
4 : 10 : 5
6 : 10 : 5
7 : 9: 4
5 : 4 : 8
Answer: A
Question: It was raining and a water drop accumulated itself over a leaf. It fell down to another leaf and lost 1/4th of its volume. It then fell off to another leaf losing 1/5th of its volume. After that it fell to another leaf losing 1/6th of its volume. This was process was repeated again and again till the water drop reached the last leaf and lost 1/75th of its volume.
Seeking the facts given in the question, will you be able to determine the accurate percentage of loss in the volume of the water drop when it is on the last leaf from its initial volume?
Choices:
3%
8%
4%
9%
Answer: C
Question: Myra drove at an average speed of 30 miles per hour for some time and then at an average speed of 60 miles/hr for the rest of the journey. If she made no stops during the trip and her average speed for the entire journey was 50 miles per hour, for what fraction of the total time did she drive at 30 miles/hour?
Choices:
The average speed is 1/3 miles per hour.
The average speed is 2/5 miles per hour.
The average speed is 2/3 miles per hour.
The average speed is 3/5 miles per hour.
Answer: A
Question: If x is negative and y is positive, which of the following cannot be positive?
Choices:
x^2/y
x^4/y
-x^3*y
-x/-y
Answer: D
Question: A quiz has one mcq question with a,b and c as options. and two questions with true/false answers. what is the probability of giving all 3 answers correct?
Choices:
1/12
1/4
1/2
1/6
Answer: A
Question: If -6 < x < 7 and -6 < y < 3, which of the following specifies all the possible values of xy?
Choices:
-42 < xy < 24
-28 < xy < 18
-42 < xy < 36
-24 < xy < 24
Answer: C
Question: Convert 0.34 in to a vulgar fraction ?
Choices:
16/50
17/50
19/50
None
Answer: B
Question: The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Choices:
3
9
3
2
Answer: A
Question: There are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Choices:
32
35
30
45
Answer: C
Question: The chance of rain on any given day in Tel-Aviv is 50%. What is the probability E that it rained in Tel-Aviv on exactly 4 out of 6 randomly chosen days?
Choices:
15/64
1/2
1/4
52/64
Answer: A
Question: When positive integer N is divided by positive integer J, the remainder is 18. If N/J = 204.03, what is value of J?
Choices:
600
400
800
1000
Answer: A
Question: A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 8 hours. How many hours in total will it take the crow to finish a quarter of the nuts?
Choices:
10
11
12
14
Answer: A
Question: A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values are within three standard deviations of the mean?
Choices:
1
3
6
7
Answer: B
Question: Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey?
Choices:
40
60
80
50
Answer: D
Question: What is the value of 26^2 + 27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2+ 34^2?
Choices:
8160
8118
8128
8138
Answer: A
Question: In what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
7 sec
5 sec
6 sec
9 sec
Answer: B
Question: The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 15000, then find the annual income of A?
Choices:
Rs. 180000
Rs. 201600
Rs. 504000
None of these
Answer: C
Question: A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 5.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Choices:
20%
35%
55%
65%
Answer: A
Question: Abhinav and Bhupathi together have Rs. 1210. If 4/15 of Abhinav's amount is equal to 2/5 of Bhupathi's amount, how much amount does Bhupathi have?
Choices:
Rs 484
Rs 550
Rs 664
None of these
Answer: A
Question: Reduce
368575
to the lowest terms
Choices:
2829
2829
1625
None of these
Answer: C
Question: On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
Choices:
30 km/h
5 km/h
20 kilometre per hour
None of these
Answer: C
Question: Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
Choices:
35 years
55 years
44 years
11 years
Answer: A
Question: Given the two equations 5r - 5s = 15 and 2r - 2s = 6, by how much does r exceed s?
Choices:
3
11
4
7
Answer: A
Question: The unit digit in the product 1258*6754*4512*9783 is?
Choices:
1
2
3
4
Answer: B
Question: A bowl contains pecans, cashews, and almonds in a ratio of 11 : 20 : 30, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
Choices:
I only
III only
II only
I,II only
Answer: A
Question: John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 : 1/4 : 1/5 . What is the minimum no. of pencils that the person should have?
Choices:
65
75
77
81
Answer: C
Question: For any number z, z* is defined as the greatest positive even integer less than or equal to z. What is the value of 5.2 – 5.2*?
Choices:
1.2
1.8
2.2
4.0
Answer: A
Question: John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $40. What is the percent decrease?
Choices:
30%
40%
70%
60%
Answer: D
Question: Increasing the original price of a certain item by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by what percent?
Choices:
37.5
50.0
52.5
44.0
Answer: D
Question: The average age of a group of persons going for picnic is years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is
Choices:
10
20
40
50
Answer: B
Question: X starts a business with Rs.45000. Y joins in the business after 4 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
2:1
1:3
3:1
9:4
Answer: D
Question: There are 80 coins, among them one coin weighs less compared to other. You are given a physical balance to weigh. In how many weighing the odd coin can be found.
Choices:
5
6
7
4
Answer: D
Question: What is the compound interest paid on a sum of Rs.3000 for the period of 2 years at 10% per annum.
Choices:
630
610
600
None of these
Answer: A
Question: A pair of articles was bought for $50 at a discount of 50%. What must be the marked price of each of the article?
Choices:
$12.50
$29.65
$35.95
$45.62
Answer: A
Question: The G.C.D. of 1.08, 0.36 and 0.9 is?
Choices:
0.9
0.18
0.108
none of these
Answer: B
Question: A certain no. when divided by 35leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
4
6
8
9
Answer: A
Question: x^2 + qx + 72 = 0 has two distinct integer roots; how many values are possible for q?
Choices:
6
8
12
24
Answer: C
Question: A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Choices:
24
77
26
81
Answer: A
Question: speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour?
Choices:
10 min
25 min
30 min
40 min
Answer: A
Question: Sebastian bought a meal at a restaurant
and left a 15% tip. With the tip, he paid
exactly $35.19. How much did the meal cost without the tip?
Choices:
$29.91
$30.15
$30.60
$30.85
Answer: C
Question: A rocket soars for 12 seconds at 150 meters per second. It then plummets 600 meters in 3 seconds. What is the average speed of the rocket in meters per second?
Choices:
150
155
160
175
Answer: C
Question: 12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
Choices:
384
432
470
480
Answer: A
Question: How many ways someone can make with 8 shirts and 6 pants?
Choices:
45
55
52
48
Answer: D
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes K, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
Choices:
9
10
12
15
Answer: B
Question: a 50 is divided in two parts in such a way its reciprocal is 1/12.find the no?
Choices:
20,30
20,10
30,10
30,40
Answer: A
Question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. An ellipse has a center at (0, 0) and minor/major axes lengths of 1, 4, respectively. Some points, such as the center (0, 0), are inside the ellipse, but a point such as (0, 2) is on the ellipse but not in the ellipse. How many lattice points are in the ellipse?
Choices:
23
5
4
7
Answer: D
Question: If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ?
Choices:
x + y + 4
4x - 9y
9x + 4y
x + y - 4
Answer: B
Question: In the graph below, no axes or origin is shown. If point B's coordinates are (10,4), which of the following coordinates would most likely be A's?
Choices:
(10, 6)
(6, 8)
(-10, 3)
(-2, -17)
Answer: A
Question: A man buys an article and sells it at a profit of 10%. If he had bought it at 10% less and sold it for Rs.55 less, he could have gained 15%. What is the cost price?
Choices:
375
846
278
268
Answer: B
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 3000 more than D, what is B's share?
Choices:
B)2900
C)6000
D)2393
E)2009
Answer: B
Question: If 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½ is blue find the total length of the pencil?
Choices:
5
7
8
4
Answer: C
Question: The volume of a cube is 3375 cc. Find its surface.
Choices:
1350
1456
1254
1489
Answer: A
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.2
1.1
1.9
Answer: A
Question: (1/3) of a number is 5 more than the (1/6) of the same number? find the no.
Choices:
36
30
72
62
Answer: B
Question: The product of a positive integer x and 377,910 is divisible by 3,300, then the least value of x is:
Choices:
11
55
110
330
Answer: C
Question: Using all the letters of the word "BETA", how many words can be formed, which begin with B and end with A?
Choices:
6
8
9
2
Answer: D
Question: A wheel of a car of radius 21 cms is rotating at 400 RPM. What is the speed of the car in km/hr?
Choices:
47.52 km/hr
7.92 km/hr
31.68 km/hr
3.96 km/hr
Answer: C
Question: If 2.5 of a number is equal to 0.75 of another number, the ratio of the numbers is :
Choices:
3 :4
3:10
20 : 3
30:7
Answer: B
Question: One-third of 600 is what percent of 120 ?
Choices:
30.1
12.24
None of these
166.6
Answer: D
Question: If 15 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Choices:
240
287
450
281
Answer: A
Question: A train running at the speed of 108 km/hr crosses a pole in 7 seconds. Find the length of the train.
Choices:
145 meter
140 meter
135 meter
210 meter
Answer: D
Question: A case contains c cartons. Each carton contains b boxes, and each box contains 600 paper clips. How many paper clips are contained in 2 cases?
Choices:
600b/c
1200bc
1200b/c
1200/bc
Answer: B
Question: One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
Choices:
3/13
1/4
9/52
8/52
Answer: A
Question: Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 3 days at a time. If A starts they finish the task in exactly 9 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?
Choices:
6
4
5
9/2
Answer: D
Question: Suraj has a certain average of runs for 14 innings. In the 15th innings he scores 140 runs thereby increasing his average by 8 runs. What is his average after the 15th innings?
Choices:
28
36
72
27
Answer: A
Question: Total natural no. from 11 to 90 which is divisible 7.
Choices:
10
11
12
13
Answer: B
Question: When 17 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Choices:
2
3
4
5
Answer: A
Question: An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 123 hours, it must travel at a speed of:
Choices:
377
720
378
268
Answer: C
Question: A computer factory produces 8400 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Choices:
3.125.
4.5.
5.225.
6.25.
Answer: D
Question: What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum ?
Choices:
Rs. 118.80
Rs. 120
Rs. 122
None
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
150
190
170
169
Answer: A
Question: In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 7.5), (8, 0), (0, -7.5), (-8, 0)?
Choices:
88
112
116
120
Answer: D
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is
Choices:
231
200
288
111
Answer: B
Question: The sum of 1 hours 45 minutes and 2 hours 55 minutes is approximately what percent of a day?
Choices:
10%
15%
20%
25%
Answer: C
Question: 15! is equal to which of the following?
Choices:
1,307,674,368,000
1,307,674,368,356
1,307,674,368,825
1,307,674,368,624
Answer: A
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.400 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
7799
2500
5000
2912
Answer: C
Question: Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
Choices:
12
24
36
42
Answer: A
Question: Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 50 litres of tomato juice?
Choices:
2.5 liters.
8.5 liters.
6.25 liters.
2.1 liters.
Answer: C
Question: Out of 15 students in a class, 8 are wearing blue shirts, 4 are wearing green shirts, and 3 are wearing red shirts. Four students are to be selected at random. What is the probability that at least one is wearing a green shirt?
Choices:
49/71
59/81
69/91
79/101
Answer: C
Question: A baseball team played 10 games and won 5. What is the ratio of the number of games played to the number of losses?
Choices:
1:1
20:4
10:3
2:1
Answer: D
Question: A computer can perform z calculations in s seconds. How many minutes will it take the computer to perform k calculations?
Choices:
ks/60z
60ks/z
60z/ks
k/60zs
Answer: A
Question: In an election between the two candidates, the candidates who gets 70% of votes polled is winned by 360 vote’s majority. What is the total number of votes polled?
Choices:
700
900
850
None of these
Answer: B
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 12 candidates. She plans to have one working interview with 3 of the 12 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
Choices:
120
300
30
333
Answer: B
Question: David covered a distance of 50 miles on his first trip. On a later trip he traveled 50 miles while going three times as fast. His new time compared with the old time was:
Choices:
three times as much
the same
half as much
a third as much
Answer: D
Question: A room is 25 meters long, 20 meters wide 10 meters in height. The longest possible rod which can be placed in the room is
Choices:
32.54 meters
34.54 meters
33.54 meters
35.54 meters
Answer: C
Question: 6 people meet for a meeting. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
21
18
15
10
Answer: C
Question: A train passes a station platform in 34 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
279 m
210 m
207 m
202 m
Answer: B
Question: Sam invested Rs. 12000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
13230.0
16537.5
15000.0
16537.11
Answer: A
Question: Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 6, how many people got on at the first stop?
Choices:
64
32
16
8
Answer: B
Question: Raman mixed 48 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choices:
287
195
188
112
Answer: B
Question: The profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs.490. At what price should the article be sold to make 25% profit?
Choices:
469
400
750
850
Answer: C
Question: 0.0203 x 2.92/0.0073 x 14.5 x 0.7 = ?
Choices:
0.6
0.8
0.5
0.3
Answer: B
Question: 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
Choices:
4 days
8 days
2 days
10 days
Answer: A
Question: Read the following three equations:
5 ~ 4 ~ 3 ~ 9 = 4215
6 ~ 9 ~ 2 ~ 6 = 3816
4 ~ 7 ~ 3 ~ 3 = 1122
Now based on the rule that has been used, solve the following equation:
3 ~ 2 ~ 7 ~ 4 = ____
Choices:
1412
2940
3749
4470
Answer: A
Question: 0.2 x 0.7 = ?
Choices:
0.001
0.01
0.14
NONE OF THESE
Answer: C
Question: During a certain season, a team won 65 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Choices:
75
56
50
105
Answer: A
Question: CMM, EOO, GQQ, _____, KUU
Choices:
IPS
IIS
ISS
POL
Answer: C
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.50. What is the price of 2 doughnuts?
Choices:
$ 1.00
$ 1.10
$ 1.30
$ 1.50
Answer: D
Question: Six children — A, B, C, D, E and F — are going to sit in six chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Choices:
240
1440
4320
4800
Answer: A
Question: The value of x + x(x*x*(in x)) when x = 2 is:
Choices:
10
18
36
64
Answer: A
Question: In how many different number of ways 4 boys and 2 girls can sit on a bench?
Choices:
720
760
800
810
Answer: A
Question: A cylinder of height h is 7/8 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?
Choices:
50%
69%
80%
100%
Answer: B
Question: If the LCM and HCF of 4 and another number is 36 and 2 respectively. Find the other number ?
Choices:
18
14
13
15
Answer: A
Question: How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?
Choices:
8
10
12
16
Answer: D
Question: The surface area of a sphere is 4πR2, where R is the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area R of that hemisphere?
Choices:
9/π
6
9
12
Answer: C
Question: If 6log(4*5^2) = x, find x
Choices:
11
7
12
9
Answer: C
Question: The edges of a cuboid are 2 cm, 5 cm and 3 cm. Find the volume of the cuboid?
Choices:
60
80
30
45
Answer: C
Question: In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his history paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
9
10
11
12
Answer: C
Question: In what ratio must water be mixed with milk costing Rs.12 per litre to obtain a mixture worth of Rs.8 per litre?
Choices:
1 : 2
4 : 3
5 : 3
None
Answer: A
Question: Two numbers are less than third number by 60% and 74% respectively. How much percent is the second number less than by the first ?
Choices:
29%
35%
41%
None of these
Answer: B
Question: In how many ways the letters of the word LOOC be arranged?
Choices:
9
12
14
17
Answer: B
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
Choices:
286
266
500
128
Answer: C
Question: A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Choices:
1640
2782
833
2772
Answer: A
Question: What will be the cost of building to decorate which area equal to 225 sq ft, if the price per foot of building is Rs. 5?
Choices:
300
600
1200
800
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Choices:
50 km/hr
8 km/hr
5 km/hr
16 km/hr
Answer: A
Question: Look at this series: 375000,75000,25000, ... What number should come next?
Choices:
10
15
5000
8
Answer: C
Question: $378 is divided among A, B, and C so that A receives half as much as B, and B receives half as much as C. How much money is C's share?
Choices:
$208
$216
$224
$232
Answer: B
Question: If on an item a company gives 25% discount and 25% profit it makes. if they now gives 10% discount then the profit %age made by the company will be...
Choices:
55
35
30
50
Answer: D
Question: An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :
Choices:
10.25%
10.5%
None of these
Cannot be determined
Answer: A
Question: A number is mistakenly divided by 5 instead of being multiplied by 5. Find the percentage change in the result due t this mistake.
Choices:
96%
2400%
200%
400%
Answer: A
Question: Q is the set of all positive integers x such that x^2 is a multiple of both 27 and 375. Which of the following integers must be a divisor of every integer x in Q?
I. 9
II. 15
III. 27
Choices:
II only
I and II only
I and III only
I, II, and III
Answer: B
Question: In how many different ways can 3 girls and 3 boys be seated at a rectangular table that has 3 chairs on one side and 3 stools on the other side, if two girls or two boys can never sit side by side?
Choices:
36
72
84
96
Answer: B
Question: The average height of 35 boys in a class was calculated as 181cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
Choices:
179.29 cm
123.98 cm
149.98 cm
146.89 cm
Answer: A
Question: If selling price is doubled, the profit triples. Find the profit percent:
Choices:
500%
100%
450%
800%
Answer: B
Question: Ayesha's father was 34 years of age when she was born while her mother was 28 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
Choices:
14
15
10
12
Answer: C
Question: Shane is playing a board game. For his first turn he moved ahead 3 spaces, for the second, 5
spaces and for the third, 1 space. For his next turn he had to go back 6 spaces. After that he got
a card that said he could move two times the biggest forward move he had done so far. Now how
many spaces from the beginning is Shane’s game piece?
Choices:
13
23
33
43
Answer: A
Question: Find the greatest number which leaves the same remainder when it divides 25, 62 and 105.
Choices:
1
12
16
None of these
Answer: A
Question: Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 9 meters. What is value of the radius in meters?
Choices:
1/3
1.5
3
6
Answer: A
Question: The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 5 months. At this time, the construction was behind schedule by how many projects?
Choices:
62
198
204
504
Answer: A
Question: The average (arithmetic man) of three integers a, b, and c is exactly once the median. If a < b < c and a = 0, what is the value of c/b?
Choices:
2
4
5
Cannot be determined from the information given.
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
21.1
21.7
23
Answer: A
Question: A circle in the coordinate plane passes through points (-3, -2) and (2, 4). What is the smallest possible area of that circle?
Choices:
15.25π
262√π
52π
64π
Answer: A
Question: Suganya and Suriya are partners in a business. Suganya invests Rs. 15,000 for 8 months and Suriya invests Rs.42,000 for 10 months. Out of a profit of Rs.31,570. Suganya's share is
Choices:
Rs.12,628
Rs.18,040
Rs.7015.56
None
Answer: C
Question: The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constant). If the largest sector has a central angle of 73°, what fraction of the wheel’s area is represented by the smallest sector?
Choices:
9/80
11/120
13/240
17/360
Answer: D
Question: What no. should be subtracted from x^3+4x^2−7x+12x^3+4x^2−7x+12, if it is to be perfectly divisible by x+3x+3?
Choices:
42
45
47
48
Answer: A
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 4km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
Choices:
40km
60km
80km
90km
Answer: A
Question: If y is not equal to zero, and y+1/y = 2, then what is the value of y^4 + (1/y)^4?
Choices:
2
5
8
0
Answer: A
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 10 years?
Choices:
1 : 3
2 : 3
1 : 5
2 : 1
Answer: C
Question: A and B have monthly incomes in the ratio 5:6 and monthly expenditures in the ratio 3:4. If they save Rs. 1800 and Rs. 1600 respectively, find the monthly income of B
Choices:
s. 2700
s. 1720
Rs. 7200
s. 8200
Answer: C
Question: A basket of 1430 apples is divided equally among a group of apple lovers. If 45 people join the group, each apple lover would receive 9 apples less. How many S apples did each person get before 45 people joined the feast?
Choices:
21.
22.
23.
24.
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is
Choices:
5°
10°
20°
None
Answer: B
Question: 36 men can complete a piece of work in 18 days. In how many days will 9 men complete the same work ?
Choices:
77
88
72
21
Answer: C
Question: Two airplanes fly the same exact route from Atlanta to Chicago. Plane A flies 200 mph while plane B flies 300 mph (assume that simple model versus actual acceleration/deceleration near the airports). If plane A took off exactly 40 minutes before plane B, after how many minutes will plane B overtake plane A?
Choices:
80
90
115
120
Answer: A
Question: If the average (arithmetic mean) of 5 positive temperatures is m degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
Choices:
4m
5m/3
3m/2
3m/5
Answer: A
Question: A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :
Choices:
253
298
266
992
Answer: A
Question: Solve below question 2x + 1 = -21
Choices:
-11
9
8
-7
Answer: A
Question: A certain sum amount to $1400 in 2 yrs and $2000 in five years on certain fixed simple interest. In how many yrs would the amount be $1750 had it been put at the rate of interest compounded annually?
Choices:
3.5
3
2
1.5
Answer: D
Question: If z is a positive integer, which of the following could NOT be the square of z?
Choices:
4932
4566
6815
3355
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
14, 9
14, 5
14, 4
14, 1
Answer: C
Question: Six consecutive traffic signals each show either red or green. How many different arrangements of the six signals are possible?
Choices:
79
64
57
36
Answer: B
Question: John makes $60 a week from his job. He earns a raise and now makes $110 a week. What is the % increase?
Choices:
83.33%
17%
17.61%
17.56%
Answer: A
Question: Find the greatest number which on dividing 1255 and 1490, leaves a reminder of 8 and 11 respectively
Choices:
29
33
39
41
Answer: A
Question: In how many ways can 8 people from a group of 9 people be seated around a circular table
Choices:
80
45002
34000
45360
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. What is the length of the train?
Choices:
50 metres
32 metres
70 metres
80 metres
Answer: A
Question: In how many no. between 10 and 50 exactly Two of the digits is 5?
Choices:
65
1
35
65
Answer: B
Question: The cash difference between the selling prices of an book at a profit of 5% and 10% is $3. The ratio of the two selling prices is:
Choices:
21:22
52:53
45:53
51:34
Answer: A
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
1276
1000
1021
1029
Answer: B
Question: Each week, Harry is paid X dollars per hour for the first 30 hours and 1.5X dollars for each additional hour worked that week. Each week, James is paid X dollars per hour for the first 40 hours and 2X dollars for each additional hour worked that week. Last week James worked a total of 44 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?
Choices:
36
37
38
42
Answer: D
Question: A right circular cylinder has a height of 21 and a radius of 5. A rectangular solid with a height of 15 and a square base, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. Liquid is then poured into the cylinder such that it reaches the rim. What is the volume of the liquid?
Choices:
500(π – 2.5)
510(π – 1.5)
500(π – 2)
500(π – 1)
Answer: B
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.3
31.6
31.9
31.2
Answer: B
Question: The mean of 50 observations was 36. It was found later that an observation 29 was wrongly taken as 23. The corrected new mean is :
Choices:
36.5
36.22
36.12
36.18
Answer: C
Question: 2 dice are tossed. What is the probability that the total score is a prime no. is?
Choices:
5/12
6/13
7/15
8/17
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 5% of that number?
Choices:
425
255
300
400
Answer: A
Question: Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of b crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of b?
Choices:
b
3b/2
2b
3b
Answer: D
Question: Raffle tickets numbered consecutively from 101 through 250 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?
Choices:
51/250
33/83
99/250
100/249
Answer: A
Question: A train covers a distance of 12 km in 10 min. If it takes 15 sec to pass a telegraph post, then the length of the train is?
Choices:
300 m
120 m
168 m
178 m
Answer: A
Question: It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep. What length of trench,
25 m broad and 15 m deep can be dug in 30 days ?
Choices:
400 m
100 m
89m
56m
Answer: A
Question: Machine P and Machine Q are each used to manufacture 330 sprockets. It takes Machine P 10 hours longer to produce 330 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
15
3
95
125
Answer: B
Question: A certain number of men can do a work in 40 days . If there were 5 men less it could be finished in 10 days more . How many men are there?
Choices:
25 men
18 men
12 men
14 men
Answer: A
Question: The sum of two numbers is 40 and their difference is 20. Find their product.
Choices:
300
114
325
None
Answer: A
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10
11
12
13
Answer: A
Question: If xy = 3 and x^2 + y^2 = 12, then x/y + y/x =
Choices:
4
5 1/3
7
60
Answer: A
Question: The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
Choices:
13
18
19
12
Answer: B
Question: A certain restaurant offers 7 different salads, 5 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible?
Choices:
240
480
600
1200
Answer: C
Question: Each of the integers from 1 to 18 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even
Choices:
12
11
10
3
Answer: C
Question: A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party T. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
Choices:
15
30
35
45
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
40
26
18
11
Answer: A
Question: which of the following statement is not correct?
Choices:
log(2+3)= log(2*3)
log10 1= 0
log(1+2+3)= log1 + log2 + log3
none
Answer: A
Question: The difference between the length and breadth of a rectangle is 28 m. If its perimeter is 120 m, then its area is:
Choices:
704 m2
620 m2
820 m2
None
Answer: A
Question: 47% of the students in a class of 36 students has glasses or contacts. How many students in the class have either glasses or contacts?
Choices:
16
17
18
19
Answer: B
Question: A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?
Choices:
2000 profit
1000 loss
2000 loss
3334 loss
Answer: B
Question: The present population of a town is 300. Population increase rate is 10% p.a. Find the population of town after 1 years?
Choices:
120
200
220
330
Answer: D
Question: A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
Choices:
2/91
5/91
6/91
5/69
Answer: A
Question: In a college the ratio of the numbers of boys to the girls is 8:5. If there are 120 girls, the total number of students in the college is?
Choices:
312
452
416
512
Answer: A
Question: A building is to be completed in 48 days. To meet the deadline 54 men were employed and were made to work for 10 hours a day. After 30 days 5/9th of the work was completed. How many more workers should be employed to meet the deadline if each workers are now made to work 8 hours a day?
Choices:
36
40
45
None of these
Answer: A
Question: What is the median from the below series 90, 89, 93, 88, 95, 88, 97, 87, and 98
Choices:
85
90
97
100
Answer: B
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choices:
1: 8
1: 9
1: 1
1: 4
Answer: B
Question: The average age of a husband and his wife was 29 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :
Choices:
23
19
287
27
Answer: A
Question: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
8 min
9 min
10 min
12 min
Answer: A
Question: If 100<y<199 and 10<x<100, then the product xy CANNOT be equal to:
Choices:
19,303
19,356.732
19,910
19,502
Answer: C
Question: The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
Choices:
225 m
245 m
250 m
270 m
Answer: B
Question: In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Choices:
2/9
6/11
9/16
3/4
Answer: B
Question: There are 10 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Choices:
5/12
4/11
3/10
2/9
Answer: D
Question: The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Choices:
30%
50%
70%
80%
Answer: B
Question: A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
Choices:
22 1/2 days
22 6/2 days
72 1/2 days
23 1/2 days
Answer: A
Question: A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
Choices:
6
8
6
4
Answer: A
Question: How many even numbers greater than 300 can be formed with digits 1,2,3,4,5 no digit being repeated ?
Choices:
111
124
132
145
Answer: A
Question: The inside dimensions of a rectangular wooden box are 4 meters by 5 meters by 6 meters. A cylindrical drum is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such drums that could be used, what is the volume, in cubic meters, of the one that has maximum volume?
Choices:
24π
25π
96π
100π
Answer: B
Question: From a pack of 52 cards,two cards are drawn at random together at random what is the probability of both the cards being kings?
Choices:
1/221
4/589
4/587
7/654
Answer: A
Question: Working alone, Mary can pave a driveway in 6 hours and Hillary can pave the same driveway in 6 hours. When they work together, Mary thrives on teamwork so her rate increases by 25%, but Hillary becomes distracted and her rate decreases by 20%. If they both work together, how many hours will it take to pave the driveway?
Choices:
3 hours
5 hours
6 hours
7 hours
Answer: A
Question: A dishonest fruit seller professes to sell his goods at the cost price but weighs 800 grams for a kg weight. Find his gain percent.
Choices:
100%
50%
200%
None of these
Answer: A
Question: The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is ?
Choices:
4322
4320
4332
4333
Answer: B
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 10800 ?
Choices:
13
14
18
10
Answer: C
Question: Jake and Kay drive at constant speeds toward each other on a highway. Jake drives at a constant speed of 29 km per hour. At a certain time they pass by each other, and then keep driving away from each other, maintaining their constant speeds. If Jake is 155 km away from Kay at 6 am, and also 155 km away from Kay at 11 am, then how fast is Kay driving (in kilometers per hour)?
Choices:
30
31
32
33
Answer: D
Question: In a mixture there is ratio of alcohol and water is 4:3.if in this mixture we will add 3litre of water.then ratio become 4:5.then calculate the amount of alcohol?
Choices:
5
6
8
9
Answer: B
Question: If a farmer wants to plough a farm field on time, he must plough 100 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Choices:
490
720
1400
1679
Answer: C
Question: Which of the following statements is definitely false, if M is the sister of N and O. T is M's son and U is M's daughter?
Choices:
O is T's uncle
N is U's brother
N is M's brother
O is M's uncle
Answer: B
Question: If x is a positive integer with fewer than 3 digits, what is the probability R that x*(x + 1) is a multiple of either 4 or 5?
Choices:
2/25
8/99
49/100
86/99
Answer: D
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Choices:
444 km
547 km
564 km
453 km
Answer: C
Question: If a = -0.5, which of the following is true?
Choices:
a < a^3 < a^2
a^2 < a < a^3
a^3 < a < a^2
a^2 < a^3 < a
Answer: A
Question: A can do a work in 6 days. B can do the same work in 4 days. Both A&B together will finish the work and they got $2000 from that work. Find their shares?
Choices:
500,500
300,700
800,1200
550,1450
Answer: C
Question: The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Choices:
91.5 cm
97.5 cm
51.5 cm
91.2 cm
Answer: A
Question: In a circular racetrack of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite direction at 15 m/s. When will all the three meet for the first time on the track after the start?
Choices:
After 50 s
After 100 s
After 200 s
None of these
Answer: B
Question: Lakshmi invested some money in 15% stock at 200.If Latha wants to invest in an equally good 30% stock ,he must purchase a stock worth of :
Choices:
Rs. 200
Rs. 450
Rs. 500
Rs. 400
Answer: D