antoine-444/aqua_rat_dataset huggingface dataset:
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
88 sec
12 sec
87 sec
55 sec
Answer: B
Question: A drawer contains socks. When two socks are drawn at random, the
probability that both are red is 5/14. Which of the following can be
the number of socks in the drawer?
Choices:
6
7
8
9
Answer: C
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Choices:
15
18
7
32
Answer: D
Question: How many four-digit integers exist such that all their digits are even?
Choices:
100
120
125
500
Answer: D
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
Choices:
12 years
14 years
18 years
16 years
Answer: C
Question: If Re.5 amounts to Rs.20 over a period of 3 years. What is the rate of simple interest?
Choices:
90%
100%
110%
115%
Answer: B
Question: A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
Choices:
10 liters
4 liters
2 liters
3 liters
Answer: C
Question: A machine puts c caps on bottles in n minutes. How many hours will it take to put caps on b bottles?
Choices:
bc/60n
bn/60c
60b/cn
b/60cn
Answer: B
Question: The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
Choices:
18 2/11
18 2/16
18 2/14
18 3/11
Answer: A
Question: A certain artist is selling five paintings for the following prices: $7,000, $8,000, $9,000, $23,000, and $25,000. If the price of the most expensive painting is increased $3,000, which of the following statements best describes the change in the mean and the median of the paintings?
Choices:
The mean will remain unchanged but the median will increase.
The mean will increase but the median will remain unchanged.
The mean and the median will increase by the same amount.
The mean and the median will increase by different amounts.
Answer: B
Question: A bike covers a certain distance at the speed of 77km/h in 7 hrs. If the bike was to cover the same distance in approximately 11 hrs, at what approximate speed should the bike travel?
Choices:
52 km/h
51 km/h
50 km/h
49 km/h
Answer: D
Question: Triangle STV has sides ST = TV = 26, and SV = 20. What is the area?
Choices:
180
200
220
240
Answer: D
Question: 10 friends are living in 10 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 10 parking spots. In how many ways can they park their cars so that exactly 8 people park their cars in the spots allotted to them?
Choices:
40
45
50
55
Answer: B
Question: Three partners A,B,C invested 360000rs.,378000rs. and 414000rs.in a business.at the end of one year,there is profit of 64000rs.then calculate the profit share of C.
Choices:
23000
28000
2750
2880
Answer: A
Question: In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. How old is Janice?
Choices:
36
40
42
45
Answer: C
Question: Michele invests 200 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD BE be the value of Michele’s investment at the close-of-business any day that week?
Choices:
$133.00
$26.69
$1575.00
$10000.00
Answer: B
Question: 10 different letters of English alphabet are given. A word is formed using 5 letters ( with replacement ) out of these. Find the probability that at least one letter is repeated in the word.
Choices:
(10^5 - 10P5 ) / 10^5
(10^5 - 10P5 ) / 10
None of these
Cannot be determined
Answer: A
Question: A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds. The length of the train (in metres) is:
Choices:
186
175
96
None of these
Answer: A
Question: x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). When the equation is divided by (x + 1), it leaves a remainder -12. What are the values of ‘a’ and ‘b’?
Choices:
2,6
2,1
2,9
2,7
Answer: A
Question: present ages of sam and john are in the ratio of 4:3 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what john's present age in years
Choices:
6
20
8
15
Answer: A
Question: Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time E will the job be finished?
Choices:
12:30 p.m.
1:00 p.m.
1:30 p.m.
2:00 p.m.
Answer: B
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire?
Choices:
1 meters
5 meters
3 meters
7 meters
Answer: A
Question: 25.25/2000 is equal to:
Choices:
0.012625
0.12526
0.12625
0.12725
Answer: A
Question: John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 :1/3:1/5 . What is the minimum no. of pencils that the person should have?
Choices:
41
70
77
98
Answer: A
Question: The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Choices:
72
29
26
13
Answer: A
Question: Linda spent 5/6 of her savings on furniture and the rest on a TV. If the TV cost her $500, what were her original savings?
Choices:
$3000
$6000
$7000
$8000
Answer: A
Question: A and B together can complete a piece of work in 10days. If A alone can complete the same work in 15days, in how many days, in how many days can B alone complete that work?
Choices:
30
25
15
45
Answer: A
Question: If the simple interest on a sum of money for 2 years at 5% per annum is $50, what is the compound interest on the same at the same rate and for the same time?
Choices:
$51.5
$52
$52.5
$51.25
Answer: D
Question: If ratio of profit of A and B is 4:5 and they together invested Rs.90,000 then money invested by B is
Choices:
Rs.45,000
Rs.30,000
Rs.50,000
None of the above
Answer: C
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 8 years?
Choices:
1 : 3
2 : 3
3 : 1
1 : 4
Answer: D
Question: (0.03)*(0.04)/(0.05)*(0.11)=?
Choices:
0.22
0.5
0.005
0.022
Answer: A
Question: Before a salary increase, the weekly salary of a worker for 26 hours in a week was as much as the worker is paid now for 20 hours of work in a week. What is the percent increase in the worker's salary per hour?
Choices:
30
32
34
36
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Choices:
33/91
33/78
33/92
33/21
Answer: A
Question: When average age of 24 members are 0, how many members greater than 0?
Choices:
23
21
24
25
Answer: A
Question: A car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced. After servicing the car covers a certain distance in 5 hours. How much time will the car take to cover the same distance when not serviced?
Choices:
16 hours
15 hours
7 hours
None
Answer: C
Question: Billy's farm is in the shape of a rectangle. It's width is 45 yards less than its length. The area of the farm is 11,704 square yards. What is the perimeter of the farm?
Choices:
133 yards
260 yards
442 yards
None of the above
Answer: C
Question: In how many different ways can 10 people be seated in a room with 12 chairs?
Choices:
181,440
403,200
1,814,400
239,500,800
Answer: D
Question: The interest on a certain deposit at 4.5% p.a. is Rs. 405 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?
Choices:
Rs. 45
Rs.40.5
Rs. 48.5
Rs. 49.5
Answer: A
Question: In a certain lottery drawing, two balls are selected at random from a container with 300 balls, numbered from 1 to 300, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
Choices:
$9.90 x 10^6
$1.00 x 10^7
$8.97 x 10^7
$9.90 x 10^7
Answer: C
Question: What will be remainder when (67^67 + 67) is divided by 68 ?
Choices:
63
66
67
69
Answer: B
Question: A boat having a length 8 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
120 kg
89 Kg
80 Kg
240 Kg
Answer: D
Question: If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
7 – 9 + 8 × 3 ÷ 20 =
Choices:
11
12
-2
8
Answer: A
Question: If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Choices:
5 hour
1 hour
3 hour
2 hour
Answer: B
Question: Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
Choices:
24%
30%
33%
20%
Answer: A
Question: A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
Choices:
160 metres
200 metres
120 metres
250 metres
Answer: B
Question: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
Choices:
240 mts
260 mts
250 mts
None of these
Answer: A
Question: In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.36, the number of 25 paisa coins is?
Choices:
36
32
34
38
Answer: A
Question: Bob bikes to school every day at a steady rate of c miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
Choices:
2(c + t) / cy
2cyt / (c + y)
2(x + y + t) / xy
x(y + t) + y(x + t)
Answer: B
Question: A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone?
Choices:
1 1/2 days
1 2/2 days
2 1/2 days
1 5/2 days
Answer: A
Question: A 60 cm long wire is to be cut into two pieces so that one piece will be 2/4th of the other, how many centimeters will the shorter piece be?
Choices:
B)20
C)83
D)21
E)52
Answer: A
Question: The GDP of a country is $13.8 billion, and the total production of one of its industries is $3.3 billion. If the GDP were to grow by 5% per year in the future, which of the following would be the MINIMUM required annual growth in this industry that would it represent more than half of the GDP in ten years?
Choices:
15%
20%
25%
35%
Answer: A
Question: If Scott has earned 924 dollars by working 6 hrs/day a week at a constant daily rate for 2 weeks, which of the following represents his daily wage?
Choices:
12
11
17
14
Answer: B
Question: A speaks truth in 75% case and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?
Choices:
25%
30%
35%
40%
Answer: C
Question: Three unbiased coin are tossed. What is the probability of getting atmost
one head?
Choices:
1/4
7/8
3/5
1/6
Answer: B
Question: In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 1 ounces of corn syrup, how many ounces of water does it contain?
Choices:
15
45
60
90
Answer: A
Question: A box contains four dimes, of which two dimes have heads on both their faces, one dime has tail on both its faces and the fourth dime is a normal one. A dime is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the dime tossed is also a head.
Choices:
4/5
2/5
3/4
1/2
Answer: A
Question: A shoe merchant has declared a 10% rebate in prices. How much rebate would one get if he purchases 5 pairs of shoes at Rs.28 each?
Choices:
12
13
14
15
Answer: C
Question: Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=16, what is the maximum value of y for which f(x,y)=0?
Choices:
10
15
20
25
Answer: A
Question: Obra drove 180π meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600π square meters, what percentage of the circular track did Obra drive?
Choices:
37.5%
18.75%
25%
33.3%
Answer: A
Question: Find the area of a rhombus one side of which measures 20 cm and one diagonal is 28 cm.
Choices:
300cm2
400cm2
448cm2
100cm2
Answer: C
Question: The period of 2 sin x cos x is
Choices:
2 pi
4 pi
pi
None
Answer: C
Question: Integer X represents the product of all integers between 1 to 27 (inclusive). The smallest prime factor of (x+1) must be
Choices:
Between 11 to 15
Between 15 to 20
Between 20 to 27
Greater than 27
Answer: D
Question: Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 27
90-99 17
The table shows a distribution of test scores. Which score interval contains the median of the 72 scores?
Choices:
b) 70-79
c) 80-89
d) 90-99
e) Cannot determine.
Answer: B
Question: Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
Choices:
65
75
61
60
Answer: A
Question: Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,600 nuts and 1,600 bolts?
Choices:
1,500 seconds
1,750 seconds
2,400 seconds
3,000 seconds
Answer: C
Question: At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is seventy percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?
Choices:
9.1j + 54
4.5j + 30
5.5j + 30
8.5j + 50
Answer: A
Question: A certain rectangular crate measures 8 feet by 14 feet by 16 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Choices:
5
6
8
10
Answer: B
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 1 : 3?
A. 48 kmph
Choices:
480/9
28
27/8
16
Answer: A
Question: In a group of 80 students, each student is registered for at least one of three classes – History, Math and English. 35 students are registered for History, 35 are registered for Math, and 46 students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
Choices:
10
9
8
30
Answer: D
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
Rs.2039
Rs.2000
Rs.2039
Rs.2030
Answer: B
Question: A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/5 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Choices:
1:42
1:44
1:54
2:14
Answer: A
Question: Calculate the value of n from the below equation: n^3âˆ’10n+20=44
Choices:
5
3
2
4
Answer: D
Question: Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 14.?
Choices:
72
56
80
88
Answer: B
Question: Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked two 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
Choices:
300
160
350
400
Answer: B
Question: After running a series of television advertisements, a leading beverage producer saw its sales increase by 40% to $1 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day?
Choices:
$800,000
$750,000
$27,000
$23,000
Answer: D
Question: James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
Choices:
54.9
55.5
57.0
63.0
Answer: B
Question: If (1/5)^m * (1/2)^5 = 1/((10)^5), then m =
Choices:
2
3
4
5
Answer: D
Question: Donovan and Michael are racing around a circular 600-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time?
Choices:
7
9
6
5
Answer: B
Question: The profits of QRS company rose 30% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
Choices:
32%
56%
62%
80%
Answer: B
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
3
6
87
9
Answer: A
Question: Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant :
Choices:
25%
36%
24%
Cannot determined
Answer: B
Question: How much water must be added to 52 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Choices:
13 litres
15 litres
18 litres
None of these
Answer: A
Question: Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?
Choices:
40
23
13
10
Answer: B
Question: In how much time will a train of length 100 m, moving at 34 kmph cross an electric pole?
Choices:
12.59 sec
10.59 sec
11.59 sec
15 sec
Answer: B
Question: The savings of employee equals income minus expenditure.If the income of A,B,C are in the ratio 1:2:3 and their expense ratio 3:2:1 then what is the order of the employees in increasing order of their size of their savings?
Choices:
281
A<B<C
28
272
Answer: A
Question: Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 36 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Choices:
12
15
13
11
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Choices:
42, 33
40, 33
39, 33
41, 35
Answer: A
Question: There are three prizes to be distributed among ten students. If no students gets more than one prize, then this can be done in?
Choices:
45
95
120
None of these
Answer: C
Question: Difference between two numbers is 5, six times of the smaller lacks by 10 from the four times of the greater. Find the numbers?
Choices:
10,5
11,9
13,11
13,9
Answer: A
Question: Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Choices:
36
98
27
24
Answer: A
Question: An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability F that the sum of the 2 numbers on the balls will be even?
Choices:
37.5%
50%
62.5%
75%
Answer: B
Question: If (z + 3)/5 is an integer, what is remainder when z is divided by 5?
Choices:
2
4
5
6
Answer: A
Question: A round table conference to be held between 20 delegates of 20 countries. In how many ways can they seated if two particular delegates are always to sit together?
Choices:
22!*7!
18!*2!
28!*1!
16!*3!
Answer: B
Question: Dany bought a total of 24 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Choices:
10
7
18
12
Answer: C
Question: For a certain set of numbers, if x is in the set, then x - 1 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?
a) 4
b) 0
c) -3
Choices:
b only,
a and b only
c only,
b and c only
Answer: D
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 20% per first year and 25% for the second year?
Choices:
2678
5460
7500
1671
Answer: C
Question: five children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children?
Choices:
560
1440
4320
4800
Answer: A
Question: The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 13 years more than twice the age of the son.Find the present age of the father.
Choices:
77
33
42
55
Answer: C
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability P that one more throw to this series will increase the mean score?
Choices:
1/3
1/2
2/3
5/6
Answer: B
Question: In how many ways can an answer key for a quiz be written if the quiz contains 5 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
Choices:
320
480
600
720
Answer: B
Question: 20.036 divided by 0.04 gives :
Choices:
5.06
50.06
100.9
500.9
Answer: D
Question: A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?
Choices:
4.8 cm
4.5 cm
4.4 cm
5 cm
Answer: A
Question: A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
3120
6877
1699
1667
Answer: A
Question: By selling an article for $90, a person gains $15. What is the gain %?
Choices:
30%
50%
20%
10%
Answer: C
Question: Three friends (Tony, Ben and George) are employees of a company. Their respective salaries are in the ratio of 3 : 4 :5. Ben and George's salaries together is Rs. 8550. By what percent is George's salary than that of Sarah?
Choices:
46.7%
66.7%
63.7%
62.7%
Answer: B
Question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Choices:
2829
2800
2829
2821
Answer: B
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
12
6
2
4
Answer: C
Question: 70,75, 76,75,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
Choices:
2
3
4
5
Answer: C
Question: In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
Choices:
36
45
54
None of these
Answer: C
Question: There are three foam generators in the factory, each of the first two can generate 8 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
Choices:
132.
146.
154.
115
Answer: D
Question: In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a two or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Choices:
4/9
5/9
2/3
3/4
Answer: B
Question: A rectangular field has a length 10 meters more than it is width. If the area of the field is 144, what is the length (in meters) of the rectangular field?
Choices:
18
20
22
24
Answer: A
Question: Find the smallest number which leaves 22,35, 48 and 61 as remainders when divided by 26, 39, 52 and 65 respectively.
Choices:
26
99
26
91
Answer: C
Question: 8, 12, 18, 27, 40.5, (...)
Choices:
60.75
60.5
60.25
60
Answer: A
Question: In the faculty of Reverse-Engineering, 100 second year students study numeric methods, 100 second year students study automatic control of airborne vehicles and 25 second year students study them both. How many students are there in the faculty if the second year students are approximately 50% of the total?
Choices:
335
370
360
350
Answer: D
Question: Which of the following list a prime number ?
Choices:
4
8
7
10
Answer: C
Question: The average weight of A, B and C is 65 kg. If the average weight of A and B be 60 kg and that of B and C be 70 kg, then the weight of A is:
Choices:
55 kg
75 kg
45 kg
63 kg
Answer: A
Question: 0.002 x 0.5 = ?
Choices:
0.001
0.01
0.1
NONE OF THESE
Answer: A
Question: If 2x = 3y = 10, then 3xy = ?
Choices:
200
120
50
20
Answer: C
Question: Dany bought a total of 26 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
Choices:
10
7
23
12
Answer: C
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
2:28
1:29
1:12
Answer: A
Question: If x+y=-10, and x=25/y, what is the value of x^2+y^2?
Choices:
65
50
75
85
Answer: B
Question: The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choices:
21
23
25
27
Answer: B
Question: The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Choices:
267
298
480
291
Answer: C
Question: Find the ratio in which rice at Rs.7.00 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
Choices:
2 : 3
3 : 4
6 : 7
None of these
Answer: C
Question: ABCDEFGH is an equiangular octagon with side lengths 2,4√2,1,3√2,2,3√2,3,and 2√2
in that order. Compute the area of the octagon.
Choices:
35
45
55
65
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
77
26
23
Answer: A
Question: What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 140?
Choices:
372
273
199
300
Answer: D
Question: In one hour,a boat goes 13 km along the stream and 9 km against the stream.The speed of the boat in still water (in km/hr) is :
Choices:
5
11
9
10
Answer: B
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 25% lemonade syrup?
Choices:
1.75
2.14
2.34
2.64
Answer: B
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
23/145
36/145
31/115
41/215
Answer: A
Question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
Choices:
20
30
40
50
Answer: D
Question: A number exceeds 20% of itself by 40. The number is ?
Choices:
50
80
320
None
Answer: A
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,70,000 earned at the end of 3 years from the start of the business in 2010?
Choices:
Rs.50000
Rs.60000
Rs.90000
None of these
Answer: C
Question: If one-third of one-fourth of a number is 12, then three-tenth of that number is:
A. 35
Choices:
43.2
26
54
01
Answer: A
Question: Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?
Choices:
3/8
6/7
3/5
2/5
Answer: A
Question: In a certain habitat, animals live in groups of two and groups of three. Each time a new animal
arrives at the habitat, it randomly chooses a group. If the chosen group has two animals in
it, the new animal joins the group forming a group of three animals. If the chosen group has
three animals in it, the new animal takes one of the animals away from the group of three and
forms a separate group of two animals.
If initially there are five animals in the habitat, and new animals arrive one at a time, what is
the probability that the fourth new animal joins a group of two animals?
Choices:
1/2
5/9
5/8
none of the previous choices
Answer: B
Question: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is?
Choices:
2688
2688
7800
1268
Answer: C
Question: A pair of toys was bought for $162 at a discount of 10%. What must be the marked price of each of the toy?
Choices:
$500
$90
$400
$600
Answer: B
Question: 33 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Choices:
22
36
25
13
Answer: A
Question: Tom can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
Choices:
1/3
2/3
3/5
3/7
Answer: B
Question: A can do a piece of work in 3 days of 5 hours each and B alone can do it in 5 days of 3 hours each.how long will they take it to do working together
3/4 hours a day?
Choices:
5 days
10 days
9 days
8 days
Answer: B
Question: If (1/2)^18 (1/81)^k = 1/18^18, then k =
Choices:
9
16
24
36
Answer: A
Question: Will must choose a 3-character computer password, consisting of 1 letter from the alphabet and 2 distinct digits, in any order.From how many different passwords can Will choose?
Choices:
2,340
4,680
7,020
14,040
Answer: C
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Choices:
1/10
7/15
8/15
9/15
Answer: C
Question: The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
Choices:
4
5
6
7
Answer: A
Question: A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Choices:
50 km/hr
77 km/hr
55 km/hr
56 km/hr
Answer: B
Question: In how many ways can 6 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately?
Choices:
11850
13260
15200
17280
Answer: D
Question: Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1.5, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
Choices:
$24
$30
$36
$40
Answer: C
Question: 1 blue dice and 2 red Dice are thrown....what is the probability that the no. appeared on blue dice is always greater than both the no. appeared on the 2 red dice..
Choices:
55/216
57/216
54/216
53/216
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
10 years
15 years
None of these
Answer: A
Question: A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
85
90
92
98
Answer: B
Question: It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 5 minutes. The inner radius of the pipe should be :
Choices:
2 m
1⁄2 m
1⁄√2 m
None of these
Answer: A
Question: A and B together can complete a piece of work in 4 days.If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
Choices:
7
6
4
8
Answer: B
Question: A metallic sheet is of rectangular shape with dimensions 48 m x 38 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:
Choices:
5632
6420
7500
8960
Answer: A
Question: If 5^29 * 4^15 = 2 * 10^n, what is the value of n?
Choices:
21
22
29
32
Answer: C
Question: In a race of length X metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N)
Choices:
X(N-M) / X-M
X-N
M-N
M+N
Answer: A
Question: If the product of the integers a, b, c and d is 546 and if 1 < a < b < c < d, what is the value of b+c?
Choices:
185
21
10
4
Answer: C
Question: What is the least value of x, so that 23x57 is divisible by 3
Choices:
0
1
3
4
Answer: B
Question: The average of seven numbers is 18. The average of first three numbers is 16 and the average of last three numbers is 20. What is the middle number?
Choices:
22
25
18
24
Answer: C
Question: I chose a number and divide it by 4. Then I subtracted 18 from the result and got 7. What was the number I chose?
Choices:
100
800
900
None
Answer: A
Question: What are the total number of divisors of 600(including 1 and 600)?
Choices:
24
40
16
20
Answer: A
Question: f n = 3^3 - 2^3, which of the following is NOT a factor of n?
Choices:
18
38
57
76
Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20% while buying and by 10% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
20%
Can't be calculated
Answer: C
Question: If the average marks of three batches of 60, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
Choices:
54.54
55
57
None
Answer: A
Question: How many 3-digit numerals begin with a digit that represents a prime number?
Choices:
80
400
180
240
Answer: B
Question: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?
Choices:
9%
2%
5%
3%
Answer: A
Question: If 133,414 cans of paint need to be placed on crates and each crate can contain at most 9 cans of paint. How many cans of paint will be on the last unfilled crate?
Choices:
3 bottles
5 bottles
7 bottles
9 bottles
Answer: C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Choices:
125 m
130 m
150 m
160 m
Answer: C
Question: A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts ove(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time after the train has crossed the Mike do the John meets to Mike?rtaking the John (he is riding on the horse) before it starts overtaking the Mike
Choices:
3545
3521
4564
3576
Answer: D
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 225 girls, the total number of
students in the college is
Choices:
520
585
620
None of these
Answer: B
Question: The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 9 percent, what was the annual interest rate last year?
Choices:
1.1%
8.18%
10%
10.8%
Answer: B
Question: The perimeter of a semi circle is 216 cm then the radius is?
Choices:
48
98
37
42
Answer: D
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Choices:
240
2870
289
292
Answer: A
Question: In a single throw with two dice, find the probability that their sum is a multiple either of 3 or 4.
Choices:
29
28
10
11
Answer: A
Question: Avinash is twice as fast as Bharat, and Bharat is one-third as fast as Chandra. If together they can complete a piece of work in 30 days, in how many days can Avinash, Bharat and Chandra do the work respectively?
Choices:
90,180,67
90,180,61
90,180,62
90,180,60
Answer: D
Question: A sum at simple interests at 13 ½ % per year amounts to Rs.2502.50 after 4 years find the sum.
Choices:
1256
1562
1526
1625
Answer: D
Question: A and B walk around a circular track. They start at 9 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 11.30 a.m.?
Choices:
17
16
15
3
Answer: A
Question: A pipe can fill a cistern in 14 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
16
28
13
12
Answer: B
Question: There are two sections C and D of a class, consisting of 18 and 22 students respectively. If the average weight of sections C is 20 kg and that of sections D is 18 kg. Find the average weight of the whole class
Choices:
18.8
18.9
19.9
None
Answer: B
Question: A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.05. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fifth day it is overdue?
Choices:
$0.70
$0.80
$0.90
$1.00
Answer: A
Question: A can do a job in 20 days and B can do it in 30 days. A and B working together will finish thrice the amount of work in ------- days?
Choices:
22 days
36 days
72 days
24 days
Answer: B
Question: Points M(-15,2) and N(5,-5) lie on the xy - plane. What is the midpoint of line segment MN?
Choices:
(0,5)
(0, (136^(1/2))/2)
(-5,-3/2)
(1,5)
Answer: C
Question: Siddharth wants to borrow Rs.9000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
Choices:
s.21.29
s.32.40
s.21.26
s.21.12
Answer: B
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
4
6
8
9
Answer: A
Question: The numbers 1, 2, 3, .....n are written in the natural order. Numbers in odd places are struck off to form a new sequence. This process is continued till only one number is left.
Q 1: If n = 1997, the number left is?
Q 2: If the number left is 512, the maximum possible value of n is
Choices:
1023
267
288
66
Answer: A
Question: Find the fourth proportion to 2,3,6
Choices:
12
9
4
6
Answer: B
Question: What was the day of the week on 27th April, 2006?
Choices:
Sunday
Saturday
Thursday
Friday
Answer: C
Question: 4 men and 3 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
Choices:
144
18
21
24
Answer: A
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choices:
15086
15017
15000
15018
Answer: C
Question: The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits when the jacket is laid on a flat surface. The American size of a suit jacket is P inches, where P is twice the linear distance between the armpits when the jacket is laid on a flat surface. If, for a particular jacket, N = P + 15, which of the following is closest to the value of N? (One inch is approximately 2.54 centimeters.)
Choices:
47
58
68
72
Answer: C
Question: A can do a piece of work in 4 days of 8 hours each and B alone can do it in 8 days of 8 hours each.how long will they take it to do working together
10 2/3 hours a day?
Choices:
3 days
2 days
5 days
6 days
Answer: B
Question: The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 40 degrees. Find the temperature on Friday?
Choices:
32 degrees
37 degrees
34 degrees
74 degrees
Answer: A
Question: A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 7% special additives while oil B consists of 10% special additives. If the machine needs exactly 30 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture?
Choices:
b.	B – 280
c. C – 290
d.	D – 300
e.	E – 600
Answer: D
Question: A rectangular plot has a concrete path running inner side of the plot is used as a lawn, which has an area of 432 sq.m. If the width of the path is 4 m and the length of the plot is greater than its breadth by 2m, what is the area of the rectangular plot?
Choices:
975 m^2
984 m^2
960 m^2
965 m^2
Answer: C
Question: Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
Choices:
14
43
44
45
Answer: A
Question: A trader sold an item at a loss of 35%. if he had increased the price by $80 he would have made a gain of 5%. what is the cost price of the item?
Choices:
$150
$260
$220
$250
Answer: D
Question: Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares ?
Choices:
2
4
0
1
Answer: D
Question: The average age 9 members of a committee are the same as it was 4 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Choices:
21 years
18 years
29 years
36 years
Answer: D
Question: If the area of a square with sides of length 7 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
Choices:
8
12
13
18
Answer: C
Question: When positive integer x is divided by positive integer y, the remainder is 7. If x/y = 86.1, what is the value of y?
Choices:
71
70
30
45
Answer: B
Question: Alex can do a piece of in 120 days and peter can do same work in 180 days,both are working together for 30 days after that peter left the job. then in how many days Alex alone complete the remaining work?
Choices:
17.5 DAYS
15 DAYS
12 DAYS
30 DAYS
Answer: A
Question: In an IT company, there are a total of 70 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
Choices:
25
55
35
65
Answer: A
Question: What is the sum of all possible solutions to |x - 4|^2 + |x - 4| = 20 ?
Choices:
5
6
7
3
Answer: C
Question: The perimeter of an isosceles right triangle is 12 + 12 sq rt 2. What is the length of the hypotenuse of the triangle?
Choices:
6
7
8.485
8
Answer: C
Question: A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 3000, then his salary per month in rupees is:
Choices:
20000
8000
10000
None of these
Answer: A
Question: If (x + 1) times (4x + 1) is an odd integer, then x must be:
Choices:
an even integer
a prime number
a composite number
a negative integer
Answer: A
Question: Q is not equal to zero and k = (Q x n - s)/2 find n?
Choices:
(2 x k + s)/Q
(2 x k - s)/Q
(2 x k + s x Q)/Q
(k + s)/Q
Answer: A
Question: The average age of a committee of 9 members is 42 years. A member aged 63 years retired and his place was taken by another member aged 54 years . The average age of
present committee is;
Choices:
38 years
36 years
41 years
37 years
Answer: C
Question: A certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Choices:
216
214
210
120
Answer: A
Question: How many ways the letters of the word ‘ARMNUR’ can be arranged?
Choices:
235
360
380
400
Answer: B
Question: The population of a city increases at the rate of 4% p.a. but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increase in the population after 2 years is?
Choices:
10.85%
10.25%
10.20%
10.75%
Answer: B
Question: Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards.
What is the probability that first two cards are queens and the third card drawn is an ace?
Choices:
2/5525
2/5527
3
None
Answer: A
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12
131.12
211.12
111.17
Answer: A
Question: A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
85 feet
83 feet
88 feet
90 feet
Answer: C
Question: The average of first 8 prime numbers is?
Choices:
9.625
12.11
13.11
14.11
Answer: A
Question: The price of 10 bat is equal to that of 4 balls. The price of 15 balls and 2 bats together is Rs. 4000. The total price of 12 chairs and 3 balls is:
Choices:
Rs. 3500
Rs. 3700
Rs. 3900
Rs. 4000
Answer: C
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
Choices:
17 m
16 m
76 m
27 m
Answer: A
Question: A money lender lends Rs.2000 for six months at 20% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit.
Choices:
22075
2677
2666
267
Answer: A