antoine-444/aqua_rat_dataset huggingface dataset:
Question: Mr. Hernandez, who was a resident of State X for only 9 months last year, had a taxable income of $42,500 for the year. If the state tax rate were 4 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
Choices:
$1275
$1200
$1300
$1060
Answer: A
Question: A train running at the speed of 120 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choices:
250 m
300 m
350 m
400 m
Answer: D
Question: A and B started a partnership business investing some amount in the ratio of 6 : 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:
5 : 7 : 4
12 : 10 : 5
7 : 9: 4
5 : 4 : 8
Answer: B
Question: If m is the product of all integers from 1 to 40, inclusive, what is the greatest integer p for which 10^p is a factor of m?
Choices:
8
9
10
11
Answer: B
Question: 7 men, 5 women and 8 children were given as assignment of distributing 2000 books to students in a school over a period of 3 days. All of them distributed books on the 1st day. One of the 2nd day 2 women and 3 children remained absent and on the 3rd day 3 men and 5 children remained absent. If the ratio of the no. of books distributed in a day by a man, a woman & a child was 5 : 4 : 2 respectively, a total of approximately how many books were distributed on the second day?
Choices:
450
680
650
700
Answer: C
Question: A train 55 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
7
3
5
Answer: C
Question: What is the greatest possible length which can be used to measure exactly the lengths 10 m 50 cm, 14 m 55 cm and 50 cm?
Choices:
24 cm
30 cm
10 cm
5 cm
Answer: D
Question: Which of the following is a prime number
Choices:
20
19
16
24
Answer: B
Question: A right circular cylinder has a height of 23 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:
575(π – 1.5)
500(π – 2)
500(π – 1.5)
500(π – 1)
Answer: A
Question: Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 155 per Kg , the price of the third variety per Kg will be?
Choices:
Rs. 785.50
Rs. 177.50
Rs. 258.50
None of these
Answer: B
Question: A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 7% p.a for 2 years. Find his gain in the transaction per year.
Choices:
150
225
112.5
212.5
Answer: A
Question: $9,000 is deposited in a savings account that pays 14% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?
Choices:
$12304.54
$11604.14
$10304.10
$9304.41
Answer: C
Question: A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?
Choices:
186
287
167
171
Answer: A
Question: A and B can do a piece of work in 9 days. With the help of C they finish the work in 6 days. C alone can do that piece of work in?
Choices:
878
18
88
11
Answer: B
Question: Pipe A can fill a pool in 12 hours at a constant rate. If Pipe A does the job for 8 hours and Pipe B does the rest of the job, which works at 1/3 constant rate of Pipe A. How long will it take for Pipe B alone to do the rest of the job?
Choices:
12hrs
8hrs
10hrs
24hrs
Answer: A
Question: If (x^2 + 1)y=6, which of the following is not a possible value for y?
Choices:
2
1/3
2/13
13/2
Answer: D
Question: If logx (base 27) +logx (base 9) +logx (base3) =11 then find the value of x?
Choices:
3^3
3^5
3^6
3^9
Answer: C
Question: What is the greatest possible length which can be used to measure exactly the lengths 10 m, 14 m 50 cm and 20 m 40cm cm?
Choices:
10 cm
25cm
50 cm
28 cm
Answer: A
Question: If a, x, y, and z are positive integers and (x)×(y)×(z)=a^2, which of the following could be the values of x, y, and z?
Choices:
9, 25, 24
2, 36, 32
2, 9, 16
8, 16, 36
Answer: B
Question: If the radius of a circle is decreased 20%, what happens to the area?
Choices:
20% decrease
36% decrease
40% decrease
50% decrease
Answer: B
Question: Two numbers are respectively 12% and 60% more than a third number. The percentage that is first of the second is?
Choices:
60%
70%
80%
90%
Answer: B
Question: Tom read a book containing 480 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did Tom spend reading the book?
Choices:
12
15
16
18
Answer: B
Question: Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
Choices:
Rs. 8821
Rs. 8818
Rs. 8819
Rs. 8820
Answer: D
Question: If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area?
Choices:
470 cm^2
480 cm^2
420 cm^2
460 cm^2
Answer: B
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly two bulbs are good?
Choices:
20/63
10/21
10/23
10/31
Answer: B
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 424 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:
1176
2878
1210
1560
Answer: A
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 6-letter code words?
Choices:
1 to 5
2 to 1
5 to 1
6 to 1
Answer: A
Question: The expression xy+x is odd when the x and y are integers. Which of the following expressions must be even?
Choices:
y
x + y
xy - x
x + y^2
Answer: A
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
Choices:
66
28
30
99
Answer: C
Question: At an election 2 candidates are participated and a candidate got 45% of votes and defeated by 9000. and 83 votes are invalid. Find the total polled votes?
Choices:
78452
65893
90083
74502
Answer: C
Question: If a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the length of each of the shorter sides?
Choices:
7
8
13
26
Answer: A
Question: A train is 485 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Choices:
30 seconds
40 seconds
50 seconds
None of these
Answer: C
Question: Pants, Shorts and Shirts in a dresser are in the ratio of 7: 7: 10. If there are 14 Pants, the number of Shirts in the dresser is:
Choices:
7
20
70
35
Answer: B
Question: At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.75 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
Choices:
7
9
10
11
Answer: A
Question: Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 72% percent carbonated water, what percent of the volume of the mixture is P?
Choices:
54%
60%
64%
68%
Answer: D
Question: If x and q are integers and 2x–q= 11, then 4x+ q CANNOT be
Choices:
1
13
17
551
Answer: C
Question: A corporation that had $10 billion in profits for the year paid out $500 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)
Choices:
20%
5%
2%
0.2%
Answer: B
Question: The captain of a cricket team of 11 members is 30 years old and the wicket keeper is 5 years younger. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?
Choices:
23
32
19
29
Answer: A
Question: If $5,000 is invested in an account at a simple annual rate of r percent, the interest is $250. When $18,000 is invested at the same interest rate, what is the interest from the investment?
Choices:
$750
$800
$850
$900
Answer: D
Question: If the range of the set of numbers {140, 80, 135, 110, 175, 145, x, 123, 136} is 115, which of the following could be x?
Choices:
45
50
55
60
Answer: D
Question: Sam ranked 9th from the top and 38th from the bottom in a class. How many students are there in the class ?
Choices:
88
46
299
77
Answer: B
Question: A sum is invested for 3 years compounded at 5%, 10% and 20 % respectively. In three years, if the sum amounts to Rs. 1386, then find the sum.
Choices:
Rs. 1000
Rs. 1200
Rs. 1400
Rs. 1600
Answer: A
Question: If $935 are divided between worker A and worker B in the ratio 5:12,what is the share that worker B will get?
Choices:
64.26%
66.37%
68.48%
70.59%
Answer: D
Question: The distance between West-Town to East-Town is 16 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 5 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
Choices:
7.
10.
12.
16.
Answer: D
Question: At what rate percent of simple interest will a sum of money double itself in 22 years?
Choices:
4.54 %
8 .2 %
4.94 %
5.54 %
Answer: A
Question: A cylindrical barrel is filled with Kerosene at a rate of 33 cubic meters per hour, the level of kerosene in the barrel rises at a rate of 0.11 meters per hour. Which of the following best approximates the radius of the barrel in meters?
Choices:
√105/11
12
52
10
Answer: A
Question: Ten men and ten women have to sit around a circular table so that no 2 women are together. In how many ways can that be done?
Choices:
6!*6!
5!*7!
9!*10!
10!*12!
Answer: C
Question: 45 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be:
Choices:
25 cm
35 cm
50 cm
None of these
Answer: D
Question: Pat, Kate, and Mark charged a total of 153 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?
Choices:
85
72
90
108
Answer: A
Question: If 12 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 15
III. 25
Choices:
II only
I and II only
II and III only
I, II, and III
Answer: D
Question: Find the odd man out. 9,18,23,36,99
Choices:
18
23
36
99
Answer: B
Question: A circle in the coordinate plane passes through points (-3, -2) and (1, 3). What is the smallest possible area of that circle?
Choices:
10.5π
262√π
52π
64π
Answer: A
Question: A shop sells chocolates at re.1 each. U can exchange 3 wrappers for 1 chocolate. If u have Rs.100, how many chocolates can you totally get?
Choices:
148
149
150
141
Answer: B
Question: A and B complete a work in 9 days. A alone can do it in 18 days. If both together can do the work in how many days?
Choices:
6 days
5 days
7 days
15 days
Answer: A
Question: If selling price of an article is Rs. 250, profit percentage is 25%. Find the ratio of the cost price and the selling price
Choices:
3:5
4:5
5:4
6:4
Answer: B
Question: Calculate the % profit or loss, if the cost price of 9 apples is equal to the selling price of 11 apples.
Choices:
7.2%
14.2%
12.2%
22.2%
Answer: D
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Choices:
76 hours
18 hours
12 hours
16 hours
Answer: A
Question: In a question on division with zero remainder, a candidate took 22 as divisor instead of 11. The quotient obtained by him was 35. The correct quotient is?
Choices:
A)70
C)28
D)29
E)30
Answer: A
Question: A larger cube has 125 cubic inch as a volume and in the cube there are 125 smaller cubes such that their volume is 1 cubic inch. What is the difference between the surface areas’ sum of the 125 smaller cubes and the surface area of the larger cube, in square inch?
Choices:
600
81
108
120
Answer: A
Question: Of the 130 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
30
50
80
100
Answer: A
Question: Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's.
What is B's share
Choices:
Rs 20
Rs 24
Rs 28
None of these
Answer: A
Question: What is the sum of odd integers from 35 to 75, inclusive?
Choices:
1,500
1,240
1,155
1,100
Answer: C
Question: P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
Choices:
1:8
1:2
1:1
1:6
Answer: C
Question: In Albert house,One tap, working alone at its maximum constant rate, can fill a certain tank in 250 seconds. A second tap, working alone at its maximum constant rate, can fill the same tank in 254 seconds. If both taps work together at their respective maximum constant rates, the time it will take to fill the tank is closest to
Choices:
126 seconds
177 seconds
200 seconds
250 seconds
Answer: A
Question: X, Y and Z, each working alone can complete a job in 2, 4 and 6 days respectively. If all three of them work together to complete a job and earn $2000, what will be Z's share of the earnings?
Choices:
$1000.90
$1070.90
$1050.90
$1090.90
Answer: D
Question: A is a working partner and B is a sleeping partner in the business. A puts in Rs.20000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
Choices:
2707
7728
4800
7291
Answer: C
Question: If 5x + y = 6 and 2y − 4x = 7, then what is the value of x + 3y?
Choices:
13
15
52/7
60/7
Answer: A
Question: The ratio of A and B is 5:3.After 2 years their ratio is 3:2.What is the age of B?
Choices:
3
6
7
8
Answer: B
Question: A machine fills 150 bottles of water every 8 minutes. How many minutes it takes this machine to fill 675 bottles?
Choices:
32 minutes
29 minutes
30 minutes
31 minutes
Answer: A
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
Choices:
20/63
5/31
6/31
26/31
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
8 2 ½ kmph
2 9 ½ kmph
2 2 ½ kmph
3 2 ½ kmph
Answer: C
Question: How many integers between 324,700 and 418,600 have tens digit 1 and units digit 3?
Choices:
827
939
1045
1136
Answer: B
Question: Suppose you flip a fair coin 7 times. What is the probability that, in 7 flips, you get at least one head?
Choices:
23/28
127/129
127/128
64/65
Answer: C
Question: Find the odd man out. 12, 21, 32, 45, 60, 77, 95
Choices:
95
32
21
77
Answer: A
Question: What is the 56743 rd term in the series 1234567891011121314…….?
Choices:
6
5
4
7
Answer: D
Question: Two cards are drawn together from a pack of 52 cards the probability that one is the spade and one is a heart is ?
Choices:
45/69
18/456
13/102
23/125
Answer: C
Question: Nicole cycles at a constant rate of 10 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?
Choices:
x/2
2x/3
3x/2
2x
Answer: D
Question: A fruit seller had some oranges. He sells 40% oranges and still has 540 oranges. How many oranges he had originally?
Choices:
900
720
730
740
Answer: A
Question: Count the two-digit whole numbers which yield a remainder of 5 when divided by 10 and also yield a remainder of 0 when divided by 3?
Choices:
Five
Three
One
Six
Answer: B
Question: Find the amount on Rs.7000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
Choices:
6369
5460
7644
6734
Answer: C
Question: A car is traveling 75 kilometers per hour. How many meters does the car travel in one minute?
Choices:
1,250 meters / minute
5,250 meters / minute
6,250 meters / minute
4,250 meters / minute
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
1000
1977
1056
1097
Answer: A
Question: If two typists can type two pages in two minutes, how many typists will it take to type 49 pages in seven minutes?
Choices:
4
6
12
14
Answer: D
Question: If a < 0, c > 0, and b > 5, which of the following is true?
I. a * b * c > 0
II. a * b * (-c) < 0
III. a^2 * b * c > 0
Choices:
II only
III only
I and III only
I, II, and III
Answer: B
Question: In a school with 632 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Choices:
200
250
158
None
Answer: C
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball (in centimeters)?
Choices:
15
16
18
20
Answer: A
Question: In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examination?
Choices:
30000 candidates
32000
33000
None of these
Answer: A
Question: If a = 105 and a^3 = 21 × 25 × 45 × q, what is the value of q?
Choices:
42
45
49
54
Answer: C
Question: The number b yields a remainder p when divided by 15 and a remainder q when divided by 7. If p = q + 7, then which one of the following could be the value of b ?
Choices:
52
66
80
96
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 55% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
24%
12%
82%
16%
Answer: A
Question: The average of 10 numbers is calculated as 16. It is discovered later on that while calculating the average, the number 45 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
Choices:
18
22
26
36
Answer: A
Question: A fill pipe can fill 1/2 of cistern in 10 minutes. In how many minutes, it can fill 1/2 of the cistern?
Choices:
4 min
6 min
10 min
25min
Answer: C
Question: 20 carrots on a scale weigh 3.64 kg. When 4 carrots are removed from the scale, the average weight of the 16 carrots is 180 grams. What is the average weight (in grams) of the 4 carrots which were removed?
Choices:
170
180
190
200
Answer: C
Question: For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was $5. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
Choices:
$25920
$28080
$28350
$29160
Answer: C
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
278
267
261
Answer: A
Question: If a - b =4 and
a2+b2=52
, find the value of ab.
Choices:
26
18
42
36
Answer: B
Question: The Simplistic language has only 2 unique values and 3 unique consonants. Every noun in Simplastic has the structure CVCVC, where C stands for a consonant and V stands for a vowel. How many different nouns are possible in Simplastic?
Choices:
12
36
72
108
Answer: D
Question: In a sample of associates at a law firm, 30 percent are second-year associates, and 60 percent are not first-year associates. What percentage of the associates at the law firm have been there for more than two years?
Choices:
20
30 %
40
50
Answer: B
Question: Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 7 times his original investment. What is the value of n?
Choices:
25 years
12 years 6 months
37 years 6 months
75 years
Answer: D
Question: Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 2 books to the left of the atlas and 5 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
Choices:
55
58
61
63
Answer: A
Question: If a is the sum of u consecutive positive integers. b is the sum of v consecutive positive integers. For which of the following values of u and v is it impossible that a = b?
Choices:
u = 3; v = 6
u = 7; v = 9
u = 10; v = 7
u = 10; v = 4
Answer: D
Question: X and Y are positive integers. If X is a prime factor of Y^2 , which of the following MUST be true?
Choices:
X=Y^2
Y/X is even
X/Y is less than or equal to 1
X+1 is also a prime factor of Y^2
Answer: C
Question: Which of the following is the product of two integers whose sum is 13?
Choices:
-28
12
26
32
Answer: B
Question: A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 150 more than A :
Choices:
7250
4350
1998
2771
Answer: B
Question: If x and y are integers such that x^2= 2y and xy = 32, then x – y = ?
Choices:
-20
-5
-4
20
Answer: C
Question: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $15 more than that received by B, find the total amount shared by A, B and C.
Choices:
$340
$640
$440
$540
Answer: D
Question: find the number of 6 digit numbers that can be formed using digits 1,2,3,4,5,6 once such that the 6digit number is divisible by its unit digit.
Choices:
648
650
651
652
Answer: A
Question: In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (2,2) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Choices:
(0,4)
(2,-6)
(2,6)
(4,0)
Answer: D
Question: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Choices:
47%
57%
60%
62%
Answer: B
Question: In Orange County one eighth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
Choices:
42.
85.
142.
112.
Answer: D
Question: In how many ways can 6 apples (identical) be distributed among 3 children? (Some children may get no apples.)
Choices:
34
36
28
30
Answer: C
Question: Two employees A and B are paid a total of Rs. 570 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choices:
s.140
s.150
s.228
s.282
Answer: C
Question: If X, Y and Z are consecutive numbers (X>Y>Z). X +2Y +3Z = 5Y + 4. What is the value of Z?
Choices:
5.
4.
3.
2.
Answer: A
Question: Four students, Jackie, Mandy, Bertrand, and Tao, took a science quiz. If Mandy scored 30% higher than Bertrand did, Tao scored 20% lower than Jackie did, and Jackie scored 40% higher than Mandy did, how much lower did Bertrand score than Tao?
Choices:
50% lower
5% lower
40% lower
30% lower
Answer: A
Question: How many times digit 20 is used while writing numbers from 100 to 500?
Choices:
20
15
25
20
Answer: A
Question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Choices:
276
342
265
162
Answer: B
Question: Find the middle one when The sum of three consecutive even numbers is 42?
Choices:
12
14
15
16
Answer: B
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
38 1/3%
33 1/3%
33%
35%
Answer: B
Question: A train 100 meters long completely crosses a 300-meter long bridge in 40 seconds. What is the speed of the train in km/h?
Choices:
32 km/h
36 km/h
40 km/h
44 km/h
Answer: B
Question: Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
10 minutes more to walk to work than to ride his bicycle, then x equals
Choices:
7
10
15
20
Answer: C
Question: A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many cubes are painted on only 2 faces?
Choices:
12
6
10
16
Answer: A
Question: Which of the following is equal to the value of 2^6 + 2^6 + 3^6 + 3^6 + 3^6 ?
Choices:
2^7 + 3^7
3^7
2^8 + 3^8
2^7 + 3^8
Answer: A
Question: For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 40?
Choices:
10
14
16
18
Answer: A
Question: Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 9 cm, what is CD, in centimeters?
Choices:
8
3
4
5
Answer: A
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40 sec
27 sec
17 sec
37 sec
Answer: A
Question: A and B enter into a partnership with capitals in the ratio 2 : 3. At the end of 9 months, A withdraws from the business. If their profits are in the ratio 1 : 2, how long did B invest his capital?
Choices:
12 months
10 months
14 months
None of these
Answer: A
Question: Carol, Belle and Andrew are business partners. Carol's capital is Rs.12000. If his share of a profit of Rs.1000 is Rs.380 and Andrew's share is Rs.250, what is Belle's capital?
Choices:
14684.21
21684.21
11684.21
11685.21
Answer: C
Question: 12x − 12 = 12y
5y + 5x = 15
Which of the following is the number of solutions to the system of equations shown above?
Choices:
Exactly three
Exactly two
Exactly one
None
Answer: C
Question: On dividing 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor
Choices:
12
16
18
19
Answer: A
Question: 12, 24, 16, 32, 24, 48, ?
Choices:
32
36
37
40
Answer: D
Question: A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Choices:
3
5
6
7
Answer: A
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
1/8
2/81
3/40
Answer: A
Question: Which of the following is equal to (n – 3)2*square* if
n = 11?
Choices:
(n + 5)(n – 7)
(n + 4)(n – 8)
(n + 3)(n – 9)
(n + 2)(n – 10)
Answer: A
Question: Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?
Choices:
1000
772
552
312
Answer: A
Question: a, b are positive integers. The remainder of a to be divided by 7 is 6 and the remainder of b to be divided by 8 is 5.
Which is possible to be the remainder of a*b to be divided by 52
Choices:
b) 6
c) 8
d) 12
e) 30
Answer: D
Question: The ratio of the ages of Maala and Kala is 4 : 3. The total of their ages is 2.8 decades. The proportion of their ages after 0.8 decades will be [1 Decade = 10 years]
Choices:
12:11
7:4
6:5
6:7
Answer: C
Question: It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
(2 16 - 1)
(7 x 2 23)
(2 96 + 1)
None of these
Answer: C
Question: A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 5?
Choices:
1 / 6
3 / 3
4 / 5
2 / 4
Answer: A
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 12 seconds. Find the length of the faster train?
Choices:
288
266
120
126
Answer: C
Question: The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is
Choices:
25 cm
30 cm
35 cm
40 cm
Answer: C
Question: What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 7?
Choices:
70,592
64,749
149,700
156,720
Answer: A
Question: A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 4 km, if the person completes half of the distance by walking and the other half by running?
Choices:
0.5
0.75
1
1.25
Answer: B
Question: A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
Choices:
2/13
1/26
1/52
1/67
Answer: B
Question: What is the remainder when the number Q=14^2 * 15^8 is divided by 5?
Choices:
0
2
4
5
Answer: A
Question: In an electric circuit, three resistors with resistances 2 ohms, 5 ohms and 6 ohms are connected in parallel. In this case, if R is the combined resistance of these three resistors, then the reciprocal of R is equal to the sum of the reciprocals resistors. What is R value?
Choices:
13/15 ohms
5/8 ohms
3/7 ohms
45/18 ohms
Answer: A
Question: An amount of Rs.3120 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of A?
Choices:
1196
1210
1440
1050
Answer: C
Question: Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio Q of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting?
Choices:
3:2
4:3
2:3
3:8
Answer: A
Question: The sum of four consecutive even numbers is 292. What would be the smallest number?
Choices:
88
70
123
12
Answer: B
Question: The sum R of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Rn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
Choices:
4302
4258
4214
4170
Answer: C
Question: A batsman scored 140 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
45 %
45(5/11) %
57(1/7) %
None of these
Answer: C
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
266
500
277
211
Answer: B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 20% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Choices:
45%
55%
60%
64%
Answer: D
Question: The speed at which a man can row a boat in still water is 9 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
34 seconds
14 seconds
18 seconds
15 seconds
Answer: C
Question: If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
Choices:
$47.47
$28.40
$60.60
$72.85
Answer: C
Question: A large no. N =1234567891011121314…99899100. What will be the remainder when 1st 100 digits of N is divided by 9?
Choices:
3
5
7
8
Answer: B
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Choices:
1/2
1/9
1/1
1/5
Answer: A
Question: Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 10 machines produce in 6 minutes?
Choices:
4200
8400
50400
67200
Answer: A
Question: Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 3 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
Choices:
561
562
563
564
Answer: A
Question: If a function f is defined by f(x)= 2x/(x-1) for all non zero numbers x. If f(a) = 4 and f(ab) = 6 then b= ?
Choices:
1/2
7/2
3/4
1/4
Answer: C
Question: Train X and train Y pass one another traveling in opposite directions. Twenty four minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?
Choices:
40
56
72
80
Answer: B
Question: At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?
Choices:
2 to 3
3 to 2
5 to 3
2 to 1
Answer: C
Question: If the LCM of two integers X, Y (where Y> X and X>1) is X*Y, then which of the following can not be true?
Choices:
All Prime factors of X must be Prime factors of Y.
Both X and Y can be consecutive integers.
X and Y do not share any Prime factors.
X and Y do not have a common factor
Answer: A
Question: (3x + 2) (2x - 3) = ax^2 + kx + n . What is the value of a - n + k ?
Choices:
7
9
10
11
Answer: A
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 3720 , R will receive
Choices:
720
800
900
None of these
Answer: A
Question: Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If former's speed is 25 km/hr, what will be the speed of latter?
Choices:
12 km/hr
16 km/hr
20 km/hr
25 km/hr
Answer: C
Question: The sub-duplicate ratio of 16:64 is
Choices:
1:2
1:3
1:4
2:4
Answer: D
Question: In expressing a length of 11.482 km as nearly as possible with the three significant digits, find the percentage error
Choices:
0.157%
0.016%
0.021%
None of these
Answer: A
Question: How can 0.1666 of 600 of 66.67 % can be written?
Choices:
66.67
16.67
18.99
12.5
Answer: A
Question: In a fruit bucket total number of fruits is 99. If ratio of apple guava and mango is 17:9:7. Find the number of mangoes?
Choices:
30
16
21
33
Answer: C
Question: Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -5 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
Choices:
-5,5,5
1,1,1
-5,25,5
5,5,25
Answer: C
Question: Which of the following equations has a solution in common with x^2 - 2x - 15 = 0?
Choices:
x^2 + 2x - 15 = 0
2x^2 + 9x + 9 = 0
2x^2 + x - 3 = 0
none of the above
Answer: B
Question: A man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. How many days would it take for him to come out of the well?
Choices:
46
17
27
33
Answer: C
Question: If a set consists of all positive digits less than or equal to 3 and of the squares of those digits, what is the mode of the set?
Choices:
1
3
4
9
Answer: A
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 5:8. What is the ratio of the smaller number to the larger number?
Choices:
1:6
1:5
1:4
1:3
Answer: C
Question: A scale 6 ft. 8 inches long is divided into 2 equal parts. Find the length of each part.
Choices:
77 inches
66 inches
97 inches
40 inches
Answer: D
Question: 15 litres of mixture contains 20% alcohol and the rest water. If 5litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
Choices:
23%
15%
19.75%
21.23%
Answer: B
Question: During the first two weeks of January, the total rainfall in Springdale was 20 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?
Choices:
6 inches
9 inches
10 inches
12 inches
Answer: D
Question: Debbie had 5 1/2 yards of ribbon. She cut it into pieces that were each 1 1/2 yard long. How
many inches long is the leftover piece? Note that the fraction that indicates the leftover piece is a
fraction of a piece, not a fraction of the original amount.
Choices:
36 inches
48 inches
37 inches
17 inches
Answer: A
Question: If 20 men can build a wall 66 metres long in 4 days, what length of a similar can be built by 86 men in 8 days?
Choices:
378.4 mtrs
478.4 mtrs
488.4 mtrs
567.6 mtrs
Answer: D
Question: As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 9,000 tickets were given out in the first four months of the year. How many tickets should the amusement park give out in the fifth month so that it will begin the sixth month back on its regular giveaway schedule?
Choices:
1250
2,200
2,250
2,460
Answer: A
Question: The average (arithmetic mean)W of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true?
I. x is an integer
II. (x−0.5) is an integer.
III. 2x is an odd integer.
Choices:
II only
III only
II and III only
None of the above
Answer: D
Question: Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 60 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
Choices:
20
40
10
16
Answer: A
Question: Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 24000, how much amount per month would he have spent on clothes and transport?
Choices:
2000
9691.2
4845.6
None of these
Answer: A
Question: Which of the following cannot be the sum of 3 different prime numbers?
Choices:
13
14
15
19
Answer: A
Question: 7.007/2.002 =
Choices:
3.50035
3.501
3.5035
3.5
Answer: D
Question: A merchant purchased a jacket for $90 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
Choices:
$3
$6
$12
$15
Answer: B
Question: In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $50,000 annual budget is dedicated to clothes and shoes?
Choices:
$7,500
$4,500
$5,000
$5,400
Answer: A
Question: A cube has a volume of 343 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
Choices:
48
64
2744
100
Answer: C
Question: In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
Choices:
12
15
16
18
Answer: A
Question: Given that A and B are events such that
X(A)= 0.25
X(B)=0.5
X(AnB)=0.5
find X (A|B) and X(A|B)
Choices:
1/2
3/2
1/5
1/7
Answer: A
Question: 3/4 of a number is 19 less than the original number. The number is ?
Choices:
64
76
72
None
Answer: B
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Choices:
16 years, 28 years, 36 years
20, 35, 45
20, 35, 48
None of these
Answer: A
Question: Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 12 years?
Choices:
32
40
50
60
Answer: A
Question: A can do a piece of work in 20 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Choices:
60 days
86 days
45 days
17 days
Answer: A
Question: Which of the following lines has x-intercept and y-intercept that are integers T?
Choices:
y=√x+1
y=-2/x
y=x^2-1
xy=1
Answer: C
Question: A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 10 were to be added to each score, which of these three statistics would change?
Choices:
The median only
The mean and the median
The standard deviation only
The mean and the standard deviation
Answer: B
Question: sahar travels the first 7 hours of his journey at 50 mph speed and the remaining 8 hours at 40 mph speed. What is the average speed of sahar's travel in mph?
Choices:
44.6 mph
44.9 mph
44.1 mph
44.2 mph
Answer: A
Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yellin grock on!, what are the chances that the next person who yells rock on!will be a freak?
Choices:
1/2
1/3
1/4
1/6
Answer: D
Question: When she chooses a password, Eloise
always uses exactly ten different
characters: five letters (A, B, C, D, and E)
and five numbers (2, 3, 4, 5, and 6).
Additionally, she always ensures that no
pair of letters is consecutive and that no
pair of numbers is consecutive. How many
different passwords conform to these rules?
Choices:
between 1,000 and 10,000
between 10,000 and 100,000
between 100,000 and 1,000,000
more than 1,000,000
Answer: B
Question: In what time a sum of money double itself at 8% per annum simple interest?
Choices:
33 1/3%
83 1/3%
33 4/3%
12 1/2%
Answer: D
Question: At 10 am 2 trains started travelling towards each other from station 287 miles apart they passed each other at 1:30 pmthe same dayy .if average speed of the faster train exceeded by 6 miles /hr what is speed of faster train in miles/hr
Choices:
43
44
45
46
Answer: B
Question: Solve the set of linear equations using subtraction:
4x-3y = 3
2x+6y = 4
Choices:
x=1, y=2/3
x=3, y=1/3
x=2, y=2
x=1, y=1/3
Answer: D
Question: The banker's discount on Rs.1150 due a certain time hence is Rs.115. Find the true discount and the banker's gain.
Choices:
15
18
21
None
Answer: A
Question: In the Lakeside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
Choices:
50.
40.
30.
25.
Answer: A
Question: In what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Choices:
7 sec
8 sec
11 sec
2 sec
Answer: C
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6700?
Choices:
s. 5991
s. 6001
s. 6191
s. 7991
Answer: C
Question: 60% of male in a town and 70% of female in a town are eligible to vote. out of which 70% of male and 60% of female who are eligible to vote voted for candidate A. what is the value of votes in % did A get?
Choices:
221
288
2212
2211
Answer: A
Question: What is the maximum number T of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Choices:
32
24
21
15
Answer: B
Question: The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
9
16
14
12
Answer: D
Question: Find the simple interest on Rs.750 for 9 months at 6 paisa per month?
Choices:
Rs.405
Rs.450
Rs.345
Rs.564
Answer: A
Question: One-fourth of a number is greater than one-fifth of the number succeeding it by 1. Find the number.
Choices:
24
36
48
50
Answer: A
Question: If .002^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Choices:
11
12
13
14
Answer: C
Question: The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate S, in cubic meters per minutes, at which the water is flowing into the swimming pool?
Choices:
0.25
0.5
0.75
Not enough information to determine the rate
Answer: D
Question: The owner of a cell phone shop charges his customer 23% more than the cost price. If a customer paid Rs.8,302 for a cell phone, then what was the cost price of the cell phone?
Choices:
Rs.6,750
Rs.5,700
Rs.6,925
None of these
Answer: A
Question: If (x/y)=(10/5), find the value (x^2+y^2)/(x^2-y^2)
Choices:
5/3
51/77
41/11
None of them
Answer: A
Question: What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
Choices:
2527
2607
2506
2606
Answer: C
Question: Define w* by the equation w* = π-w. Then ((−π)*)* =
Choices:
-1
−π
2π
4π
Answer: B
Question: A palindrome is a number that reads the same forward and backward, such as 145. How many odd, 4-digit numbers are palindromes?
Choices:
45
80
90
2500
Answer: B
Question: The cost of the paint is rs.30 per kg. if 1kg of paint covers 18sq.ft, how much will it cost to paint outside of a cube having 6 feet each side
Choices:
Rs.672
Rs.540
Rs.876
None of these
Answer: B
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Choices:
7
6
5
4
Answer: B
Question: A certain high school has 500 students. Of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art?
Choices:
440
450
460
470
Answer: B
Question: A man on tour travels first 100 km at 64 km/hr and the next 100 km at 80 km/hr. Find the average speed for first 200 km of tour.
Choices:
51.11 km/hr
52.11 km/hr
58.00 km/hr
None of these
Answer: C
Question: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
Choices:
9
5
6
4
Answer: A
Question: An article is bought for Rs.575 and sold for Rs.675, find the gain percent?
Choices:
17.39%
33 1/3%
38 1/3%
33 2/3%
Answer: A
Question: Two ropes are given to you. Both of the ropes will take exactly an hour each to burn fully.
You are asked to measure forty five minutes using the two ropes. How will you achieve to do it?
Choices:
40 min
50 minutes
60 minutes
70 minutes
Answer: A
Question: Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 115 barrels of oil?
Choices:
2
4
18
180
Answer: A
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 600, then x must be a multiple of which of the following?
Choices:
6.
7.
8.
10.
Answer: D
Question: Which resistive component is designed to be temperature sensitive?
Choices:
27
25
18
11
Answer: A
Question: Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
5.6%
8.2 %
9.3 %
2%
Answer: A
Question: Roger can read a book in k minutes. What part of the book can he read in 6 minutes? (k>8)
Choices:
8/k
k/8
(k+ 8)/k
(k-8) / k
Answer: C
Question: Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1 hr and 4 hours respectively after passing each other. How much faster is one train from other?
Choices:
2:1
1:3
3:1
1:4
Answer: A
Question: The greatest number of four digits which is divisible by 18, 25, 40 and 75 is:
Choices:
9000
9600
9800
9200
Answer: A