antoine-444/aqua_rat_dataset huggingface dataset:
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 16 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
728
278
268
Answer: A
Question: A speed of 11 metres per second is the same as :
Choices:
55 km/hr
60 km/hr
68.5 km/hr
39.6 km/hr
Answer: D
Question: A, B and C have Rs.700 between them, A and C together have Rs.300 and B and C Rs.600. How much does C have?
Choices:
200
300
350
400
Answer: A
Question: If the average of e, b, c, 14 and 15 is 12. What is the average value of e, b, c and 29
Choices:
13
14
15
16
Answer: C
Question: The diagonals of a rhombus are 30 cm and 12 cm. Find its area?
Choices:
190
180
278
292
Answer: B
Question: Three years ago the average age of a class of six members was 22 years. A boy have been added, the average age of the class is the same today. What is the age of the boy?
Choices:
B)2
C)3
D)4
E)5
Answer: C
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was
Choices:
Rs. 10000
Rs. 15000
Rs. 20000
None of these
Answer: B
Question: A, B and C enter into a partnership. They invest Rs. 1,20,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Choices:
9 : 4 : 7
3 : 4 : 2
3 : 4 : 1
9 : 4 : 5
Answer: A
Question: If w is the square of a positive integer, which of the following must be equal to the square of the next positive integer?
Choices:
n + 1
n^2 + 1
w + 2√w + 1
n^2 + 2n + 1
Answer: C
Question: Apple costs X rupees per kilogram for first 30 kgs and Y rupees per kilogram for each additional kilogram. If the price of 40 kilograms is 420 and for 50 kgs of Apples is 540 then the cost of first 10 kgs of Apples is
Choices:
100
3.6
3.62
3.61
Answer: A
Question: There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. Nine of the employees have taken exactly two of the courses and 3 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
Choices:
9
8
5
14
Answer: D
Question: A cricket player whose bowling average was 24.85 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.85. What will be the number of wickets taken by him till the last match?
Choices:
72
85
96
108
Answer: B
Question: A box contains ten bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good?
Choices:
16/625
609/625
5/6
18/263
Answer: B
Question: A bag contains 10 balls numbered from 0 to 9. the balls are such that the person picking a ball out of the bag is equally likely to pick anyone of them. A person picked a ball and replaced it in the bag after noting its number. He repeated this process 2 more times. What is the probability that the ball picked first is numbered higher than the ball picked second and the ball picked second is numbered higher than the ball picked third?
Choices:
3/25
4/5
1/6
1/9
Answer: A
Question: In a certain pond, 100 fish were caught, tagged, and returned to the pond. A few days later, 100 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Choices:
625
1,250
2,500
10,000
Answer: C
Question: P has $21 more than what Q and R together would have had if both B and C had 1/5 of what P has. How much does P have?
Choices:
$35
$37
$38
$39
Answer: A
Question: A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 10% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Choices:
10°
18°
54°
52°
Answer: C
Question: If x = 147, which of the following numbers could be subtracted from x to create a sum that is divisible by 6?
Choices:
2
3
4
5
Answer: B
Question: If log 27 = 1.467, then the value of log 9 is:
Choices:
0.978
0.954
0.958
0.998
Answer: A
Question: If the integer x is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when x is rounded to the nearest ten. which of the following is a possible value of x?
Choices:
64
99
133
147
Answer: A
Question: How many numbers between 1 and 100 are divisible by 7 ?
Choices:
11
17
14
12
Answer: C
Question: A sum of money is to be divided among Ann, Bob and Chloe. First, Ann receives $4 plus one-half of what remains. Next, Bob receives $4 plus one-third of what remains. Finally, Chloe receives the remaining $32. How much money N did Bob receive?
Choices:
22
24
26
52
Answer: A
Question: If d is a positive even integer, and n and m are consecutive integers, then (n - m)^d/(m - n)d =
Choices:
-1
0
1
2
Answer: C
Question: A sum of $800 amounts to $920 in 3 years at simple interest. If the interest rate is increased by 3% it would amount to how much ?
Choices:
$774
$992
$854
$1021
Answer: B
Question: The ratio, by weight, of coffee to sugar to water in a pot of coffee is 5:2:20. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is tripled. If the altered pot of coffee contains 8 grams of sugar, how many grams of water does it contain after alteration?
Choices:
12.5
13
13.5
14
Answer: D
Question: Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years.
Year	Item of Expenditure
Salary	Fuel and Transport	Bonus	Interest on Loans	Taxes
1998	288	98	3.00	23.4	83
1999	342	112	2.52	32.5	108
2000	324	101	3.84	41.6	74
2001	336	133	3.68	36.4	88
2002	420	142	3.96	49.4	98
Total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002?
Choices:
69.45%
70%
71%
72%
Answer: A
Question: The area of sector of a circle whose radius is 12 metro and whose angle at the center is 54Â° is?
Choices:
52.9
67.9
52.1
52.2
Answer: B
Question: What is 1! + 2! + ... + 10! ?
Choices:
4,037,913
4,037,915
4,037,916
4,037,918
Answer: A
Question: Apples are bought at 11 for a $ and an equal number more at 9 a $. If these are sold at 10 for a $, find the loss or gain percent?
Choices:
7% loss
3% loss
2% loss
1% loss
Answer: D
Question: There are two groups of students in the sixth grade. There are 20 students in group A, and 80 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 15% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework?
Choices:
14%
15%
16%
17%
Answer: C
Question: What is the value of (44444445*88888885*44444442+44444438)/44444444^2
Choices:
88888883
16992677
88888237
88888182
Answer: A
Question: Find average speed if a man travels at speed of 20km/hr up and 26km/hr dawn at an altitude of 240m.
Choices:
26.8
22.6
28.8
29.8
Answer: B
Question: Find the remainder Y when 12^190 is divided by 1729 ?
Choices:
1
1728
1717
4
Answer: C
Question: What is the perimeter of a square with area 9p^2/36 ?
Choices:
3p^2/4
2p
3p^2
4p/3
Answer: B
Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
Choices:
270
987
167
121
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
Choices:
600
132
277
161
Answer: A
Question: Two vessels A and B contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8 : 5?
Choices:
3 : 4
5 : 6
7 : 9
None
Answer: C
Question: Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
Choices:
20
40
60
70
Answer: A
Question: A box contains 40 balls, numbered from 1 to 40. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
Choices:
1/4
1/2
5/8
3/4
Answer: A
Question: How many even prime numbers are there less than 50?
Choices:
1
2
16
17
Answer: A
Question: The total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years (rounded down to the nearest integer). During its 4th year, the plum tree grew 50 plums. If this trend continues, how many plums will it grow during its 6th year?
Choices:
41
38
40
42
Answer: A
Question: The number of singles that a baseball player hit increased 18 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 6 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Choices:
4:5
1:5
2:5
3:5
Answer: D
Question: Jill, who lives in City C, plans to visit 3 different cities, M, L, and S. She plans to visit each city exactly once and return to City C after the 3 visits. She can visit the cities in any order. In how many different orders can she visit the 3 cities?
Choices:
6
8
9
12
Answer: A
Question: What approximate value should come in place of the question mark (?) in the following equation?
39.05 × 14.95 – 27.99 × 10.12 = (36 + ?) × 5
Choices:
29
34
32
25
Answer: D
Question: If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 372, C will receive
Choices:
51
900
72
271
Answer: C
Question: If y exceeds x by 25%, then x is less than y by?
Choices:
67%
20%
16%
11%
Answer: B
Question: In a 500 member association consisting of men and women, exactly 20% of men and exactly 50 % women are homeowners. What is the least number of members who are homeowners?
Choices:
147
101
143
141
Answer: B
Question: 7/9 of 3/5 of a number is greater than 2/9 of 5/6 of the same number by 152. What is half of that number?
Choices:
195
240
270
315
Answer: C
Question: In a class of 120 students, 25 did not opt for math. 10 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science?
Choices:
95
77
87
48
Answer: C
Question: The number N is 6,2X4, where X represents the ten's digit. If N is divisible by 9, what is the value of X?
Choices:
3
5
7
6
Answer: D
Question: A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
Choices:
8%
9%
10%
11%
Answer: A
Question: A Scooter is sold for Rs. 65000, a shop keeper gains 25%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
Choices:
12.5%
22.5%
15%
36%
Answer: A
Question: How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?
Choices:
192
140
242
None
Answer: A
Question: The current birth rate per thousand is 50, where as corresponding death rate is 10 per thousand. The net growth rate in terms of population increase in percent is given by?
Choices:
3%
4%
6%
8%
Answer: B
Question: A machine puts c caps on bottles in m hours. How many hours will it take to put caps on b bottles?
Choices:
bm/60c
bc/60m
bm/c
b/60cm
Answer: C
Question: If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 320, the cost of the article is
Choices:
231
200
288
600
Answer: D
Question: How many of the positive factors of 24 are not factors of 26
Choices:
3
4
1
6
Answer: D
Question: Calculate the HCF of 64, 318, 250
Choices:
5
4
3
2
Answer: D
Question: A certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water. If between 6 and 13 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
Choices:
4
7
8
9
Answer: A
Question: the radius of the circle is reduced from 5cm to 4cm then the % change of area .
Choices:
36%
35%
38%
39%
Answer: A
Question: Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
25
27
29
Answer: A
Question: Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 1104 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle?
Choices:
2145
2878
1210
1560
Answer: A
Question: Find the probability that a number selected from numbers 1, 2, 3,..., 30 is a prime number, when each of the given numbers is equally likely to be selected?
Choices:
1/30
8/30
3/30
7/30
Answer: B
Question: The price of a car is marked at $10,000. If the car has successive discounts of 25%, 20% and 10%, then at what price does a customer buy the car?
Choices:
$4800
$5000
$5200
$5400
Answer: D
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 2 of the slips are the drawn, without replacement, what is the probability that both have a even number written on it?
Choices:
1/10
1/8
1/2
2/9
Answer: D
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 75 km/hr?
Choices:
25
99
88
61
Answer: A
Question: John was thrice as old as Tom 6 yrs back. He will be 5/3 times as old as Tom 6 years hence. How old is Tom today?
Choices:
10
12
16
18
Answer: B
Question: the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour. the car stops to wait for the cyclist for 6 minutes after passing her, while the cyclist continues to go at her constant rate, how many minutes must the car wait until the cyclist catches up?
Choices:
10
12
15
18
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 840 grams per kg, what is his percent?
Choices:
19
77
88
11
Answer: A
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 110 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
Choices:
120
160
360
440
Answer: D
Question: A person started from point A to point B and returned back to A with a speed of 60 kmh. If the distance between A and B is 120km, calculate the time he travelled
Choices:
4 hours
3 hours
6 hours
5 hours
Answer: A
Question: If the sum of three consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is?
Choices:
24
9
7
01
Answer: A
Question: If a: b :: 3 : 7, then what is (5a+6b): (a-2b)?
Choices:
-57:11
11 : 10
-11 : 10
-1 : 10
Answer: A
Question: A is twice as good a workman as B and they took 8 days together to do the work B alone can do it in.
Choices:
24 days
29 days
25 days
27 days
Answer: A
Question: A can do a job in 16 days, B can do same job in 12 days. With the help of C they did the job in 4 days. C
alone can do the same job in how many days ?
Choices:
712days
835days
935days
None of these
Answer: C
Question: Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 25% more than Bert had in savings, and separately, the same price was also 50% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
Choices:
2:5
3:5
4:5
1:1
Answer: A
Question: A cylindrical vessel of a certain height and radius can hold 30 liters of water in it when filled to the brim. All the water in the cylindrical vessel is transferred to a spherical vessel. If the height and radius of the cylindrical vessel is the same as the radius of the spherical vessel, what percentage of the capacity of the spherical vessel will remain empty after the transfer?
Choices:
16.67%
25%
33.33%
50%
Answer: B
Question: A fruit seller had some oranges. He sells 30% oranges and still has 420 oranges. How many oranges he had originally?
Choices:
600
220
400
None of these
Answer: A
Question: A man is 18 years older than his son. In two years, his age will be twice the age of his son. The
present age of his son is
Choices:
16 years
22 years
24 years
26 years
Answer: A
Question: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Choices:
1/2
1/5
1/7
2
Answer: B
Question: A man desired to get into his work building, however he had forgotten his code.
However, he did recollect five pieces of information
-> Sum of 5th number and 3rd number is 14.
-> Difference of 4th and 2nd number is 1.
-> The 1st number is one less than twice the 2nd number.
->The 2nd number and the 3rd number equals 10.
->The sum of all digits is 30.
Crack the code ?
Choices:
7+4+6+5+8
7+4+7+5+9
6+4+6+5+9
None
Answer: A
Question: On a Monday in a certain restaurant, 20 percent of the 160 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
Choices:
14%
18%
23%
30%
Answer: A
Question: The mean of four integers Q will not change if all the integers are multiplied by any constant. What is always true about this set of numbers?
I. The mean of the set is 0
II. The sum of the largest member and the smallest member of the set is 0
III. The set contains both positive and negative integers
Choices:
I only
III only
I and II only
I, II, and III
Answer: A
Question: Jerry travels 8 miles at an average speed of 40 miles per hour, stops for 14 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. What is Jerry’s average speed, in miles per hour, for this trip?
Choices:
36
44
50
52.5
Answer: A
Question: P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is:
Choices:
40000
50000
60000
None
Answer: C
Question: Each of the following equations E has at least one solution EXCEPT
Choices:
E=–2^n = (–2)^-n
2^n = (–2)^-n
(–2)^n = –2^n
(–2)^-n = –2^-n
Answer: A
Question: If 10 farmers can reap a field in 8 days, then 8 farmers will reap the same field in :
Choices:
10 days
4 days
20 days
None of these
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 58 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
383.40$
420.40$
450.40$
473.40$
Answer: D
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 100 resolutions.
Choices:
141 m
142 m
143 m
144 m
Answer: A
Question: If the square root of 5625 is 75, then
√5625 + √56.25 + √0.5625 is equal to
Choices:
80.25
79.25
83.25
84.25
Answer: C
Question: A boy was asked to find the value of 3/8 of a sum of money. Instead of multiplying The sum by
3/8 he divided it by 3/8 and then his answer exceeded by Rs. 55. Find the Correct be x.
Choices:
Rs.3
Rs.5
Rs.7
Rs.9
Answer: D
Question: A grocer has a sale of Rs. 5266, Rs. 5768, Rs. 5922, Rs. 5678 and Rs. 6029 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5600?
Choices:
4737
4937
5937
5978
Answer: B
Question: The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theoundary of the park at the speed of 12km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Choices:
146400 m
153600 m
164500 m
167550 m
Answer: B
Question: A dog travelled for 2 hours. He covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. Find the distance travelled by the dog?
Choices:
20 km
6 km
3 km
61 km
Answer: A
Question: What will be the fraction of 50%
Choices:
1/5
1/10
1/8
None of above
Answer: D
Question: How many words can be formed by using all letters of the word ‘CAT’ ?
Choices:
6
8
10
12
Answer: A
Question: Two trains each 120m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 85km/h while the other travels at 65km/h. how long will it take for them to pass each other completely.
Choices:
10.07 sec
13.07 sec
12.07 sec
14.07 sec
Answer: A
Question: A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Choices:
62 years
12 years
16 years
52 years
Answer: B
Question: Vijay lent out an amount Rs. 10000 into two parts, one at 8% p.a. and the remaining at 10% p.a. both on simple interest. At the end of the year he received Rs. 890 as total interest. What was the amount he lent out at 8% pa.a?
Choices:
5500
5508
5502
5501
Answer: A
Question: 3 machines a,b,c can be used to produce a product. Machine a will take 60 hours to produce a million units. Machine b is twice as fast as machine a. Machine c takes the same amount of time as machine a and b taken together. How much time will be required to produce a million units if all the three machines are used simultaneously?
Choices:
10 hours
8 hours
9 hours
None of these
Answer: A
Question: Five persons are to be selected from a group of 7 males and 6 females to form party so that at least 3 male members are there on the committee. What are the possible number of ways to form the party ?
Choices:
756
785
789
None
Answer: A
Question: If 0.75 : x :: 10 : 8, then x is equal to:
Choices:
A)0.6
C)0.85
D)0.5
E)none
Answer: A
Question: In country Z, 18% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?
Choices:
37%
55%
65%
75%
Answer: A
Question: On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested 2,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Choices:
$5
$50
$100
$105
Answer: A
Question: Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have?
Choices:
$68.25
$682.50
$6825.00
$68250.00
Answer: B
Question: A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 300 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
Choices:
2
4
6
8
Answer: C
Question: How many pieces of 75 cm can be cut from a rope 60 meters long?
Choices:
80
60
None
Cannot be determined
Answer: A
Question: How many cubes of edge 2 dm can be cut out of a meter cube?
Choices:
289
270
125
278
Answer: C
Question: Father is aged three times more than his son Sunil. After 8 years, he would be two and a half times of Sunil's age. After further 8 years, how many times would he be of Sunil's age?
Choices:
2 times
3 times
5 times
1 times
Answer: A
Question: The C.P of 15 pens is equal to the S.P of 18 pens. Find his gain% or loss%?
Choices:
17 2/6%
16 2/3%
16 2/7%
34 2/5%
Answer: B
Question: If a quarter kg of onions costs 90 paise, how many paise will 100 gm cost?
Choices:
36 paise
56 paise
87 paise
15 paise
Answer: A
Question: In what time will a train 100 meters long cross an electric pole, if its speed is 36 km/hr
Choices:
10 seconds
3.5 seconds
2.5 seconds
2.6 seconds
Answer: A
Question: Which of the following is the lowest positive integer that is divisible by the first 8 positive integer multiples of 5?
Choices:
4200
6300
8400
10,500
Answer: A
Question: All the stocks on the over-the-counter market are designated by either a 7 letter or 6 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
Choices:
26(26^4)
27(26^6)
26(26^5)
27(26^5)
Answer: B
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
28 hours
77 hours
75 hours
66 hours
Answer: A
Question: A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
Choices:
929
400
600
832
Answer: C
Question: The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Choices:
6.89%
6.08%
6.09%
6.19%
Answer: C
Question: Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 3000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
Choices:
30%
60%
50%
33%
Answer: A
Question: How many multiples of 4 are less than 6540, and also multiples of 7?
Choices:
234
340
237
267
Answer: A
Question: In a 150 member association consisting of men and women, exactly 10% of men and exactly 20 % women are homeowners. What is the least number of members who are homeowners?
Choices:
21
20
19
18
Answer: D
Question: A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Choices:
5
4
7
9
Answer: C
Question: A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 5 runs. His new average is:
Choices:
58 runs
56 runs
59 runs
62 runs
Answer: A
Question: An urn contains 15 black and 5 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black?
Choices:
3/7
2/5
3/5
21/38
Answer: D
Question: If n is a prime number greater than 17, what is the remainder when n^2 is divided by 12 ?
Choices:
1
2
3
5
Answer: A
Question: The length of a rectangular floor is more than its breadth by 500%. If Rs. 324 is required to paint the floor at the rate of Rs. 6 per sq m, then what would be the length of the floor?
Choices:
23.4m.
22.5m.
23.8m.
25.5m.
Answer: D
Question: Anmol can eat 27 pastries in a hour.
Aakriti can eat 2 pastries in 10 minutes.
Divya can eat 7 pastries in 20 minutes.
How long will it take them to eat a 240 pastries ?
Choices:
1 hours.
5 hours.
4 hours.
3 hours.
Answer: C
Question: How many different 3 digit numbers can be formed from the number 891 by re-arranging its digits so that the odd digits occupy even position
Choices:
2
8
7
6
Answer: A
Question: Two sets A and B consists only of positive integers such that mean of set A is 55 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is =>
Choices:
[B] 60
[C] 70
[D] 55
[E] cannot be determined
Answer: D
Question: What decimal of an hour is a second ?
Choices:
.0256
.00027
.000126
None of these
Answer: B
Question: A store owner estimates that the average price of type A products will increase by 35% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Choices:
$15,205
$16,000
$16,225
$17,155
Answer: A
Question: Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded
number is
Choices:
35
55
65
75
Answer: A
Question: A gambler bought $3,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 13 chips, and then cashed in the remainder. If the number of $20 chips lost was 3 more or 3 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
Choices:
$2,120
$2,240
$1,920
$1,400
Answer: B
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
33 8/3%
33 1/3%
35 1/3%
32 1/3%
Answer: B
Question: The measures of the 2 acute angles of a triangle are in the ratio of 2:7. What are the measures of the 2 angles?
Choices:
70°
80°
100°
180°
Answer: A
Question: Find the area of a parallelogram with base 22 cm and height 14 cm?
Choices:
384 cm2
308 cm2
286 cm2
276 cm2
Answer: B
Question: Find √? /20 = 4 ?
Choices:
6400
304
1296
None
Answer: A
Question: 24 oz of juice P and 25 oz of juice V are mixed to make smothies M and Y . The ratio of p to V in smothie M is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie M?
Choices:
10
15
20
25
Answer: C
Question: If n = 30! + 27, then n is divisible by which of the following?
I. 25
II. 27
III. 29
Choices:
I only
II only
I and II
II and III
Answer: B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 6400 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
320 sq.units
367sq.units
178sq.units
176sq.units
Answer: A
Question: The least number,which when divided by 48,60,72,108 and 140 leaves 38,50,62,98 and 130 as remainder respectively, is :
Choices:
15110
15120
15210
12510
Answer: A
Question: A buffet costs rs300. owner reduced the price 20% less. he got profit of 25% on its revenue. what is the percentage increase in number of customers?
Choices:
56%
58%
45%
35%
Answer: A
Question: The population of a village is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
Choices:
12000
13000
14000
14400
Answer: D
Question: For any integer k greater than 1, the symbol k* denotes the product of all the fractions of the form 1/t, where t is an integer between 1 and k, inclusive. What is the value of 5*/6* ?
Choices:
5/4
4/5
1/4
1/5
Answer: C
Question: A man can row upstream at 25 kmph and downstream at 41 kmph, and then find the speed of the man in still water?
Choices:
33
30
15
17
Answer: A
Question: Let the polynomials be:
P1(x)=3x2−7x+4,
P2(x)=−5x2−4x+2,
P1(x)+P2(x)=
Choices:
-2x2 - 11x + 6
-2x2 - 11x + 6
2x2 - 9x + 7
None of these
Answer: A
Question: A certain galaxy is known to comprise approximately 10^11 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
Choices:
1,250
2,000
12,000
80,000
Answer: B
Question: A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
50
40
60
70
Answer: B
Question: In a race of 200 m, A can beat B by 40 m and C by 20 m. In how many meter race, C will beat B by 50m ?
Choices:
285 m
200 m
250 m
150 m
Answer: B
Question: There are two numbers. If 20% of the first number is added to the second number, then the second number increases to its five-fourth. What is the ratio of the first number to the second number?
Choices:
3 : 8
8 : 5
5 : 4
7 : 3
Answer: C
Question: Of 55 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
49
59
71
92
Answer: A
Question: When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 730 more than 4times the middle integer. Find the numbers?
Choices:
678
698
710
730
Answer: D
Question: What is the smallest number which when increased by 3 is divisible by 18, 70, 25 and 21?
Choices:
2757
3147
3587
3997
Answer: B
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:
15 1/7 days
16 2/3 days
17 1/7 days
18 1/7 days
Answer: C
Question: In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.85$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
Choices:
420$
582$
650$
780$
Answer: B
Question: An iron cube of side 10 cm is hammered into a rectangular sheet of thickness 0.5 cm. If the sides of the sheet are in the ratio 1 : 5, the sides are :
Choices:
10 cm20 cm
100 cm20 cm
30 cm100 cm
None
Answer: A
Question: In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ?
Choices:
120960
115850
142560
185260
Answer: A
Question: The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is
Choices:
12
9
14
15
Answer: B
Question: In one hour, a boat goes 19 km/hr along the stream and 11 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
13 kmph
14 kmph
15 kmph
16 kmph
Answer: C
Question: A runs twice as fast as B and gives B a start of 71m.How long should the racecourse be so that A and B might reach in the same time?
Choices:
80 m.
150 m.
142 m.
None of the above
Answer: C
Question: On a weekend, 11 college friends went to the beach and evenly split the cost of their beach house. If the amount paid by each person was an integer, which of the following could not have been the cost of the beach house?
Choices:
$568
$484
$363
$319
Answer: A
Question: How many four-digit numbers are there such that all three digits are different and the first digit and last digit is not zero?
Choices:
3458
4207
5184
8104
Answer: C
Question: A bus 75 m long is running with a speed of 21 km/hr. In what time will it pass a woman who is walking at 3 km/hr in the direction opposite to that in which the bus is going?
Choices:
7.62
11.25
4.25
3.25
Answer: B
Question: Find the fourth proportion to 2,5,12
Choices:
12
40
30
24
Answer: C
Question: A container contains 40 litres of milk.From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container.
Choices:
29.96 litres
99.16 litres
29.16 litres
23.16 litres
Answer: C
Question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Choices:
3000
278
274
287
Answer: A
Question: The area of sector of a circle whose radius is 18 metro and whose angle at the center is 42Â° is?
Choices:
52.9
52.8
118.8
52.2
Answer: C
Question: There are 10 slate rocks, 11 pumice rocks, and 4 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Choices:
3/20
7/34
9/37
11/49
Answer: A
Question: In a box, there are 8 orange, 7 black and 6 white balls. If one ball is picked up randomly. What is the probability that it is neither orange nor white?
Choices:
3/4
7/19
8/21
10/21
Answer: C
Question: Two trains 110 meters and 200 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.69
6.85
5.85
6.15
Answer: A
Question: Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 7 = f(3x – 6)
Choices:
2
6
7
13
Answer: A
Question: A and B enter into partnership with capitals in the ratio 1 : 2. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 5 : 6. Find how long B remained in the business?
Choices:
8 months
6 months
7 months
None of these
Answer: B
Question: A rectangular courtyard 3.78 metres long and 2.25 metres wide is to be paved exactly with square title, all of the same size. What is the largest size of the tile which could be used for the purpose ?
Choices:
21 cms
42 cms
None of these
46 cms
Answer: A
Question: 30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
10 days
77 days
88 days
55 days
Answer: A
Question: Five players forms a team joins in a shooting game. The best shooter scored 78 points. If he had scored 95 points, the average score for the team would have been 85. The number of points, the team scored, was
Choices:
345
408
672
578
Answer: B
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 30% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
20%
30%
23%
Cannot be determined
Answer: B
Question: David covered a distance of 50 miles on his first trip. On a later trip he traveled 150 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: B
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:
6
9
4
2
Answer: C
Question: In a group of 28 junior high school students, 7 take French, 10 take Spanish, and 2 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
Choices:
6
9
4
8
Answer: B
Question: An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters F long?
Choices:
1
1.5
2
3
Answer: A
Question: Right triangle ABC is to be drawn in the xy-plane so that the right angle is at A and AB is parallel to the y-axis. If the x- and y-coordinates of A, B, and C are to be integers that are consistent with the inequalities -8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions?
Choices:
4032
2,160
2,916
148,824
Answer: A
Question: If x^2 + 9/x^2 = 15, what is the value of x - 3/x
Choices:
25
9
5
3
Answer: D
Question: Reeya obtained 55, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
Choices:
75
73
85
90
Answer: B
Question: If Rs. 782 be divided into three parts, proportional to 1/2:2/3 :3/4, then the first part is:
Choices:
408
48
24
204
Answer: D
Question: 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country.
Choices:
200
400
430
540
Answer: B
Question: The average of first five multiples of 7 is
Choices:
21
9
12
15
Answer: A
Question: One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
Choices:
12
98
27
29
Answer: A
Question: The daily high temperatures were recorded at an Antarctic weather station. If a temperature of -38.2 degrees Celsius is 2 units of standard deviation below the mean temperature, and a temperature of -22.6 degrees Celsius is 4 units of standard deviation above the mean, which of the following temperatures is 4 unit of standard deviation above the mean?
Choices:
-22.6 degrees Celsius
-30.4 degrees Celsius
-27.8 degrees Celsius
-25.2 degrees Celsius
Answer: A
Question: Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $167 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Choices:
1,670
1,890
1,701
3,210
Answer: A
Question: A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 104,350,400 pounds, how many widgets have been unloaded?
Choices:
2
4
25
20,870,080
Answer: A
Question: 5800 * 99
Choices:
574200
584250
576460
None of these
Answer: A
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Choices:
1250
1540
1600
1635
Answer: D
Question: Departments A, B, and C have 10 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?
Choices:
40,000
100,000
190,000
400,000
Answer: C
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
26
265
35
27
Answer: C
Question: In how many different number of ways a combination of 3 men and 2 women can be selected from 6 men and 5 women?
Choices:
20
22
24
26
Answer: A
Question: What will be the reminder when (13^13+13) is divided by 14?
Choices:
14
12
18
21
Answer: B
Question: The average age of 42 students in a group is 16 years. When teacherâ€™s age is included to it, the average increases by one. What is the teacherâ€™s age in years?
Choices:
56
41
59
None
Answer: C
Question: What is the probability that the sum of two dice will yield a 6, and then when both are thrown again, their sum will again yield a 6? assume that each die has 5 sides with faces numbered 1 to 5.
Choices:
1/25
1/12
1/6
1/3
Answer: A
Question: A fair coin is tossed 10 times. If the coin lands tails 8 out of the 10 times, what is the probability that the coin will land on heads on the next toss?
Choices:
2/5
1/3
2/10
5/10
Answer: D
Question: What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Choices:
1683
2007
3363
1436
Answer: A
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.2 years, The ratio of the number of boys to the number of girls in the class is
Choices:
2 : 3
9 : 3
6 : 3
1 : 1
Answer: D
Question: A library has an average of 400 books on Sundays and 240 on other days. The average number of books per day in a month of 30 days beginning with a Sunday is?
Choices:
55.5
65
75.5
78.5
Answer: C
Question: X is a positive integer. When X + 1 is divided by 7, the remainder is 3. What is the remainder when N is divided by 7?
Choices:
5
4
3
2
Answer: D
Question: complete the numerical series with the correct number
5+3+4=152032
9+2+9=188197
8+6+7=485698
5+4+4=202036
9+5+2= ?
Choices:
451858
454585
454386
444586
Answer: A
Question: Chandu started a business investing Rs. 70,000. Firoz joined him after 6 months with an amount of Rs. 1,05,000 and Pavan joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Chandu, Firoz and Pavan respectively, 3 years after Chandu started the business ?
Choices:
12:15:16
16:15:12
10:14:19
None of these
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 4 points if you must draw exactly 2 “low” cards?
Choices:
2
3
4
5
Answer: B
Question: six friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $420. If one of the friends had a coupon for 20% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
$70
$56
$37
$35
Answer: B
Question: The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. what is the average of the remaining two number ?
Choices:
4.6
4.7
4.8
None of these
Answer: A
Question: An art gallery owner is hanging paintings for a new show. Of the six paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings?
Choices:
30
64
120
216
Answer: C
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
Choices:
18
40
25
30
Answer: B
Question: What percentage of simple interest per annum did Anand pay to Deepak?
I.Anand borrowed Rs. 8000 from Deepak for four years.
II.Anand returned Rs. 8800 to Deepak at the end of two years and settled the loan.
Choices:
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: D
Question: A computer can perform y calculations in s seconds. How many minutes will it take the computer to perform k calculations?
Choices:
ks/y
ks/60y
60y/ks
k/60ys
Answer: B
Question: 9000 + 16 2/3 % of ? = 10500
Choices:
2888
9000
2837
2271
Answer: B
Question: Harold works at a resort from the beginning of March to the end of September. During the month of August this past year, he made 5 times the average (arithmetic mean) of his monthly totals in tips for the other months. His total tips for August were what fraction of his total tips for all of the months he worked?
Choices:
2/5
3/7
4/7
5/11
Answer: D
Question: In an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1/6 of the one-bedroom units. If, of the rented apartments, there is a 6:1 ratio of two-bedroom units to one-bedroom units, and the building only consists of two-bedroom and one-bedroom units, how many two-bedroom units are not rented?
Choices:
70
10
105
140
Answer: B
Question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Choices:
22 3/2 %
22 1/8 %
22 1/2 %
22 1/2 %
Answer: C
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Choices:
33
45
49
52
Answer: A