antoine-444/aqua_rat_dataset huggingface dataset:
Question: A man buy a book in Rs50 & sale it Rs60. What is the rate of profit ???
Choices:
20%
30%
25%
28%
Answer: A
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 75 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
15 sec
14 sec
67 sec
13 sec
Answer: A
Question: If daily wages of a man is four times to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
Choices:
4
6
8
20
Answer: C
Question: Arrange the following in descending order :
A) 111(4),
B) 110 x 109 x 108 x 107,
C)109 x 110 x 112 x 113
Choices:
B,A.C
A,B,C
A,C,B
None
Answer: C
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
10
20
30
None
Answer: A
Question: Find the next number in the sequence ?
2 11 25 44 68 ?
Choices:
78
99
97
91
Answer: C
Question: Two trains 140 m and 160 m long run at the speed fo 60 k/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
8.6
10.8
11
12
Answer: B
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Choices:
150
160
170
180
Answer: A
Question: John was thrice as old as Tom 6 years ago. John will be 7/5 times as old as Tom in 6 years. How old is Tom today?
Choices:
9
11
13
15
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 6 seconds. What is the length of the fast train?
Choices:
33 (1/3)m
27 (7/9)m
29 m
28 m
Answer: A
Question: Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Choices:
$2.85
$4.85
$8.85
$7.85
Answer: B
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
Choices:
1/36
1/48
1/55
1/90
Answer: A
Question: A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately?
Choices:
10.8
10.9
10.4
10.2
Answer: A
Question: In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race?
Choices:
190 sec
240 sec
127 sec
128 sec
Answer: B
Question: The average age of a class of 20 students is 19 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
Choices:
41 years
42 years
43 years
44 years
Answer: A
Question: The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 142. What is the number of frogs in the pond ?
Choices:
152
156
145
None
Answer: C
Question: The probability that A speaks truth is 2/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
17/35
18/36
18/33
18/32
Answer: A
Question: If 1 + x^4 + x^3 + x^2 + x = 80, then the average (arithmetic mean)Q of x, x^2, x^3, x^4 and x^5 is equal to which of the following?
Choices:
13x
14x
16x
20x
Answer: C
Question: Molly is rolling a number cube with faces numbered 1 to 6 repeatedly. When she receives a 3, she will stop rolling the cube. What is the probability that Molly will roll the die less than 4 times before stopping?
Choices:
125/216
11/36
91/216
27/128
Answer: B
Question: The average monthly income of P and Q is Dollar 5050. The average monthly income of Q and R is Dollar 6250 and the average monthly income of P and R is Dollar 5200. The monthly income of P is:
Choices:
$ 4000
$ 7000
$ 8000
$ 2000
Answer: A
Question: If √10 = 3.16, find the value of If √5/2
Choices:
1.58
2.03
2.15
3.15
Answer: A
Question: One-third of a two digit number exceeds its one fourth by 6. What is the sum of the digits of the number?
Choices:
eight
nine
ten
eleven
Answer: B
Question: Which of the following numbers is between 2⁄3 and 3⁄4?
Choices:
.35
.70
.22
.20
Answer: B
Question: At what rate percent on simple interest will Rs.800 amount to Rs.950 in 5 years?
Choices:
3.75%
4.75%
5.33%
6.33%
Answer: A
Question: Evaluate 64 / .08
Choices:
800
505
None of these
506
Answer: A
Question: A collection of books went on sale, and 2/3 of them were sold for $3.50 each. If none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
Choices:
$252
$90
$60
$54
Answer: A
Question: 6x − 12 = 6y
y + x = 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: John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 2, 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?
Choices:
2/5
3/10
3/20
7/20
Answer: C
Question: A 30% alcohol mixture is added to a 50% alcohol mixture to form a 10 litre mixture of 45% alcohol. How much of the 30% mixture was used?
Choices:
2.5 liters
3.5 liters
4.5 liters
5.5 liters
Answer: A
Question: The number of permutations of the letters of the word 'MESMERISE' is?
Choices:
9!/(2!)2 3!
9!/(7!)2 3!
7!/(2!)2 9!
9!/(2!)4 3!
Answer: A
Question: Alka bought 15 books for Rs.2580 from one shop and 20 books for Rs.920 from another. What is the average price he paid per book ?
Choices:
181
100
35
20
Answer: B
Question: There was a grandmother in a village who had a grandchild. Upon asking her grandchild's age she told dat she is as older as many days old as her daughter's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child?
Choices:
.4 year
.5 year
.7 year
.9 year
Answer: B
Question: How many keystrokes are needed to type the numbers from 1 to 200?
Choices:
280
364
492
512
Answer: C
Question: In what time will a train 100 m long cross an electric pole, it its speed be 216 km/hr?
Choices:
1.6 sec
8.5 sec
2.2 sec
4.5 sec
Answer: A
Question: A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in meters) is:
Choices:
750
1000
1250
None of these
Answer: C
Question: If a certain computer is capable of printing 4700 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6800 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?
Choices:
29 mins
39 mins
38 mins
37 mins
Answer: B
Question: What was the day of the week on 28th May, 2006?
Choices:
Friday
Saturday
Sunday
Monday
Answer: C
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
60 sq.units
187 sq.units
607 sq.units
815 sq.units
Answer: A
Question: A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
Choices:
4:3
2:3
2:1
2:4
Answer: A
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Choices:
12
14
16
18
Answer: A
Question: The department received a bonus of $2075 to be split amongst the 25 employees in the department. The senior team members received $100 each while the junior team members received only $75 each. How many junior team members are in the department?
Choices:
4
5
8
10
Answer: C
Question: For every even positive integer m, f(m) represents the product of all even integers from 2 to m, inclusive. For example, f(12) = 2 x 4 x 6 x 8 x 10 x 12. What is the greatest prime factor of f(24) ?
Choices:
19
17
13
11
Answer: D
Question: The maximum number of students among them 890 pens and 630 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
Choices:
10
1001
1911
None of these
Answer: A
Question: Factor: 3x4y3 – 48y3
Choices:
3y3(x2 + 4)(x + 2)(x -2)
3y3(x2 + 4)(x + 2)(x -3)
3y3(x2 + 4)(x + 3)(x -2)
3y3(x2 + 4)(x + 2)(x -4)
Answer: A
Question: From a number of mangoes, a man sells half the number of existing mangoes plus 1 to the first customer, then sells 1/3rd of the remaining number of mangoes plus 1 to the second customer, then 1/4th of the remaining number of mangoes plus 1 to the third customer and 1/5th of the remaining number of mangoes plus 1 to the fourth customer. He then finds that he does not have any mangoes left. How many mangoes did he have originally?
Choices:
14
15
13
16
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
268
268
298
Answer: A
Question: The first five numbers in a regular sequence are 1, 4, 10, 22 and 46. What is the next number in the sequence?
Choices:
154
94
182
190
Answer: B
Question: Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 42 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?
Choices:
504
548
829
279
Answer: A
Question: A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
Choices:
2787
2500
2778
2789
Answer: B
Question: In a sports club with 27 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?
Choices:
8
9
10
11
Answer: D
Question: An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Choices:
30%
33 1/3%
33 1/6%
33 4/6%
Answer: B
Question: A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 30 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Choices:
$216
$220
$230
$168
Answer: D
Question: There are 9 people in the room. There are two pairs of siblings within that group. If we choose two people, what is the probability that they will not be siblings?
Choices:
17/18
2/9
1/18
4/18
Answer: A
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
Choices:
Rs. 15525
Rs. 17000
Rs. 17600
None of these
Answer: C
Question: X starts a business with Rs.35000. Y joins in the business after 3 months with Rs.25000. What will be the ratio in which they should share the profit at the end of the year?
Choices:
28:15
25:23
14:15
None of these
Answer: A
Question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?
Choices:
4
5
6
2
Answer: A
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is?
Choices:
1/36
1/33
1/38
1/34
Answer: A
Question: If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
Choices:
2:1
3:3
1:2
6:1
Answer: A
Question: A number x is multiplied by 7, and this product is then divided by 5. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
Choices:
9/5
5/3
7/5
9/25
Answer: C
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
Choices:
31.7
31.6
31.5
31.1
Answer: B
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 120. If legs are counted, there are 580. The number of hares in the zoo is?
Choices:
82
190
137
170
Answer: D
Question: At a small company, 58 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
Choices:
1/3
23/29
7/10
5/7
Answer: B
Question: Find the C.I. on a sum of Rs.10000 for 9 months at 20% per annum, interest being compounded quarterly?
Choices:
10025
1025
2015
2025
Answer: B
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
Choices:
2
4
5
6
Answer: A
Question: A set consists of 20 numbers, all are even or multiple of 5. If 9 numbers are even and 12 numbers are multiple of 5, how many numbers is multiple of 10?
Choices:
1
2
3
5
Answer: A
Question: Walking with 4/5 of my usual speed, I miss the bus by 4 minutes. What is my usual time?
Choices:
16 min
34 min
20 min
12 min
Answer: A
Question: How many of the positive divisors of 720 are also multiples of 4 not including 720?
Choices:
12
17
18
24
Answer: B
Question: A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?
Choices:
17.5 kmph
12.8 kmph
12.5 kmph
14.5 kmph
Answer: C
Question: Average expenditure of a person for the first 3 days of a week is Rs. 330 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
Choices:
370
390
430
None
Answer: A
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Choices:
8
6
4
9
Answer: A
Question: An article is bought for Rs.775 and sold for Rs.900, find the gain percent?
Choices:
12.1%
13.1%
15.1%
16.1%
Answer: D
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs. 100 of money?
Choices:
6000
2500
1400
2000
Answer: D
Question: The area of a triangle is with base 10m and height 5m?
Choices:
25
787
122
12
Answer: A
Question: Two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
Choices:
14
10.9
20
18
Answer: B
Question: On a Monday in a certain restaurant, 40 percent of the 180 customers ordered the daily special. On Tuesday, only 10 percent of the 120 customers ordered the special. For the two days combined, what percent of the customers ordered the daily special?
Choices:
16%
18%
28%
30%
Answer: C
Question: Sum of three numbers 292, If the first number be twice then second and third number be one third of the first, then the second number is
Choices:
A)80
C)72
D)73
E)74
Answer: A
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Choices:
15 days
13 days
20 days
25 days
Answer: A
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
267
120
110
112
Answer: B
Question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 56 ounces of this substance?
Choices:
36
42
24
147
Answer: C
Question: From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 36 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning
Choices:
10
35
50
40
Answer: B
Question: A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 80 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Choices:
40
70
60
50
Answer: A
Question: Sales price is $44, gross profit is 120% of cost, what is the value of gross profit?
Choices:
24
39
40
42
Answer: A
Question: Three medical experts, working together at the same constant rate, can write an anatomy textbook in 24 days. How many additional experts, working together at this same constant rate, are needed to write the textbook in 18 days?
Choices:
1
3
4
5
Answer: A
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?
Choices:
11
22
23
25 3/10
Answer: A
Question: A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father (in years) is
Choices:
22
44
55
66
Answer: B
Question: What is the area of an equilateral triangle whose one side length is 80?
Choices:
1000√3
1200√3
1400√3
1600√3
Answer: D
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choices:
16.0
16.3
16.8
16.1
Answer: C
Question: How many odd, positive divisors does 540 have?
Choices:
8
12
15
24
Answer: A
Question: it is a small town railway station and there are 25 stations on that line.at each of the 25 stations the passengers can get tickets for any other 24 stations.how many different kind of tickets do you think the booking clerk has to keep?
Choices:
24
26
27
28
Answer: A
Question: In a 60 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
Choices:
13
25
23
21
Answer: A
Question: The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
287 m
245 m
186 m
177 m
Answer: B
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
1261
2379
2893
2721
Answer: A
Question: In how many ways can the letters D, I, G, I, T be arranged so that the two I's are not next to each other?
Choices:
36
72
96
128
Answer: A
Question: A,B,C can complete a piece of work in 21,6,12 days. Working together, they complete the same work in how many days?
Choices:
4/5
7/9
10
84/25
Answer: D
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/25
5/24
5/22
Answer: A
Question: How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 18 kmph?
Choices:
20 sec
40 sec
50 sec
60 sec
Answer: C
Question: A baker makes chocolate cookies and peanut cookies. His recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. If he makes exactly 96 cookies, what is the minimum number of chocolate chip cookies he makes?
Choices:
14
21
28
42
Answer: D
Question: A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33kms in 45minutes. The ratio of their speeds is?
Choices:
3:4
2:5
3:7
1:3
Answer: A
Question: What is remainder of the division (1225*1227*1229)/12?
Choices:
0
3
2
4
Answer: B
Question: Jolene entered an 14-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?
Choices:
$506.00
$900.00
$920.24
$926.24
Answer: A
Question: If X is the sum of first 40 positive even integers and Y is the sum of first 40 positive odd integers, what is the value of x-y?
Please try to explain your answers
Choices:
25
40
75
100
Answer: B
Question: In how many ways can the integer 120 be expressed as a product of two different positive integers?
Choices:
8
5
4
2
Answer: B
Question: The cost of 8 dozen pencil and 2 dozen note book is 520 rupee. If cost of 3 pencil and 4 note book is 60 rupee, then sum of the cost of 1 pencil and 1 note book will be (in rupee)
Choices:
rs 15.51
rs 16.51
rs 14.51
rs 17.51
Answer: A
Question: If x is divisible by 2, 14, and 35, which of the following must be the least multiple of x?
Choices:
154
70
44
35
Answer: B
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
650 m
700 m
750 m
Answer: A
Question: A baseball card decreased in value 50% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
Choices:
55%
32%
36%
72%
Answer: A
Question: There are 2 kinds of staff members in a IT company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.
Choices:
B.1/5
1/6
1/7
1/8
Answer: B
Question: Three cubes of metal whose edges are 9, 12 and 21 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Choices:
22.7
66
18
99
Answer: A
Question: Seller selling an apple for Rs.16, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Choices:
12
17
18
20
Answer: B
Question: In the Mundane Goblet competition, 6 teams compete in a “round robin” format: that is, each team plays every other team exactly once. A team gets 3 points for a win, 1 point for a tie (a draw), and 0 points for a loss. What is the difference between the maximum total points and the minimum total points that can be gained by all teams (added together) in the Mundane Goblet competition?
Choices:
15
45
60
75
Answer: A
Question: A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by :
Choices:
13 only
11 only
1001 only
1003 only
Answer: C
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
1261
88
27
828
Answer: A
Question: The number of new words that can be formed by rearranging the letters of the word 'tuesday' is?
Choices:
7
1
5041
5039
Answer: D
Question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in
Choices:
16 sec.
18 sec.
20 sec.
None
Answer: A
Question: Shekar scored 76, 65, 82, 67 and 55 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks?
Choices:
69
75
85
90
Answer: A
Question: 12, 10, x, 8
The median of the list of positive integers above is 9. Which of the following could be the average (arithmetic mean) of the list?
Choices:
5.5
6.25
7
9
Answer: D
Question: The average of 9 observations was 6, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
Choices:
36
15
17
18
Answer: A
Question: At a game of billiards,A can give B 15 points in 60 and A can give C 20 points in 60.How many points can B give C in a game of 90 ?
Choices:
20 points
10 points
12 points
None of these
Answer: B
Question: Three consecutive odd integers are in increasing order such that the sum of the last two integers is 15 more than the first integer. Find the three integers?
Choices:
7, 2, 10
7, 9, 10
9, 11,13
7, 9, 29
Answer: C
Question: Ramesh and Neelesh start walking to meet one another from places 25 kms apart. If Ramesh walks at the rate of 2 kms an hour and Neelesh at 3 kms an hour, how many hours will it be before they meet?
Choices:
3 hr
4 hr
5 hr
6 hr
Answer: C
Question: Find the sum of 4 digit numbers which are made by 1,2,5,6
Choices:
93524
92324
93324
93344
Answer: C
Question: A hostel had provisions for 250 men for 48 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
40
50
60
65
Answer: C
Question: Robert spent $64 in buying raw materials, $125 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
Choices:
B)$210
C)$250
D)$160
E)$200
Answer: A
Question: The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Choices:
1015
1022
1032
1045
Answer: A
Question: The number which exceeds 16% of it by 84 is :
Choices:
100
58
60
62
Answer: A
Question: In how many ways can the integer 54 be expressed as a product of two different positive integers?
Choices:
8
5
4
2
Answer: C
Question: On selling 13 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Choices:
s. 50
s. 55
s. 60
s. 90
Answer: D
Question: Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 25 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
A) 11.79
C) 10
D) 15
E) 24
Answer: A
Question: A 300 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choices:
450
350
882
281
Answer: A
Question: In how many ways can the letters of the word RECPECT be arranged?
Choices:
9856
2520
6429
8547
Answer: B
Question: 3 teenagers decided to make greetings cards to sell. Their goal was to make 60 cards. Mark made 7 times more than Paul, while John made three times more than Paul. How many did Paul make?
Choices:
6
7
36
60
Answer: A
Question: Walking with 4/5 of my usual speed, I miss the bus by 3 minutes. What is my usual time?
Choices:
26 min
34 min
20 min
12 min
Answer: D
Question: Fourteen years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
Choices:
B)34
C)45
D)49
E)26
Answer: C
Question: Car A runs at the speed of 70km/hr & reaches its destination in 10hr. Car B runs at the speed of 35 km/h & reaches its destination in 10h. What is the respective ratio of distances covered by Car A & Car B?
Choices:
11 : 8
13 : 7
15 : 7
2 : 1
Answer: D
Question: What is the area of a square field whose diagonal of length 14 m?
Choices:
140 sq m
200 sq m
400 sq m
180 sq m
Answer: A
Question: A person can row at 9 kmph and still water. He takes 6 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
28
29
54
20
Answer: B
Question: Three walls have wallpaper covering a combined area of 300 square meters. By overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 40 square meters. What is the area that is covered with three layers of wallpaper?
Choices:
36 Square Meters
40 Square Meters
83.3 Square Meters
120 Square Meters
Answer: B
Question: How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
Choices:
45 sec
55 sec
65 sec
51 sec
Answer: B
Question: If a = b*c, -1 < c < 0 and 8 < b, which of the following is correct?
Choices:
0 < a <8.
8 < a < 0
a < -14
a < -7
Answer: D
Question: In a factory, there are 50% technicians and 50% non-technicians. If the 50% of the technicians and 50% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
50%
52%
22%
42%
Answer: A
Question: In how many ways can 3 men and 3 women be seated around a round table if each women is to be between 2 men.
Choices:
12
16
18
20
Answer: A
Question: If a man buys 1 liter of milk for 12 rs. and mixes it with 20% water and sells it for 15 rs then what is the %age of gain...
Choices:
40
50
60
70
Answer: B
Question: if 1/8 of a pencil is black 1/2 of the remaining is white and the remaining 7/2 is blue find the total length of the pencil?
Choices:
6.33cm
5.33cm
9.33cm
8.33cm
Answer: C
Question: Given a spinner with four sections of equal size labeled W, B, C, and D, what is the probability of NOT getting an W after spinning the spinner two times?
Choices:
9/16
1/2
1/4
1/8
Answer: A
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 numbers?
Choices:
-33
-34
35
33
Answer: A
Question: In how many different ways can the letters of the word "BICYCLE" be rearrangement?
Choices:
5040
5140
5010
5020
Answer: A
Question: 71
a3
+1b
___
98
If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ab?
Choices:
54
43
45
04
Answer: D
Question: An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest, is
Choices:
10:30 am
10:31 am
None of above
Cannot be determined
Answer: B
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
175
145
200
362
Answer: C
Question: Which of the following fractions can be written as the difference of reciprocals of two consecutive integers?
Choices:
1/121
1/45
1/56
3/72
Answer: C
Question: Two dice are thrown together. What is the probability that the sum of the number on the two faces is divisible by 4?
Choices:
1/9
1/4
1/3
1/2
Answer: B
Question: In a certain sequence, each term except for the first term is one less than twice the previous term. If the first term is 1.75, then the 3rd term is which of the following?
Choices:
−1
0
0.5
4
Answer: D
Question: The average of first five prime numbers greater than 20 is?
Choices:
32.7
32.8
32.2
32.1
Answer: C
Question: List I: 4, 6, 8, 10
List II: x, 4, 6, 8, 10
Choices:
7
3
5
2
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
480
267
288
276
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?
Choices:
60000
50000
75000
90000
Answer: A
Question: The ratio of number of students studying Arts, Commerce and Science in a College is 3 : 6 :8. What is the new ratio of the number of students studying Arts, Commerce and Science respectively if there is an increase of 20%, 40% and 25% in the number of students studying Arts, Commerce and Science?
Choices:
18 : 21 : 50
4 : 8 : 5
32 : 35 : 25
None of these
Answer: A
Question: The spinner shown is divided into 6 sections of equal
size. What is the probability of landing on a section that
contains the letter P using this spinner?
Choices:
4/6
5/6
2/6
1/6
Answer: C
Question: A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Choices:
9
3
5
2
Answer: C
Question: One out of every 500 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
5,000
10,000
50,000
52,000
Answer: C
Question: A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.6 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Choices:
b. 300
c. 600
d. 1,200
e. 360
Answer: D
Question: The volume of the sphere QQ is (dfrac{37}{64}%)less than the volume of sphere PP and the volume of sphere RR is (dfrac{19}{27}%) less than that of sphere QQ. By what is the surface areaof sphere RR less than the surfacearea of sphere PP?
Choices:
65%
75%
90%
100%
Answer: B
Question: One number will be chosen randomly from each of the sets below . If x represents the chosen member of Set X and y represents the chosen member of Set Y, what is the probability that x/yx/y will be an integer?
X = {9, 10, 11, 12}
Y = {2, 3, 4, 5}
Choices:
3/8
1/2
3/4
15/16
Answer: A
Question: A vessel of capacity 30 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
Choices:
14.7
38.3
78.3
79.3
Answer: A
Question: If a car had traveled 10 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 30 km, at what speed did it travel?
Choices:
20 kmh
30 kmh
35 kmh
40 kmh
Answer: A
Question: If a = 1 and b = -2, then (2a^2 + b)(r + y) + (a + b)(r - y) =
Choices:
2x
y - r
x - y
x + y
Answer: B
Question: A man's age is 125% of what it was 10 years ago, but 8313% of what it will be after 10 years. What is his present age?
Choices:
40
50
60
70
Answer: B
Question: What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
Choices:
3
6
7
8
Answer: A
Question: (500 + 200)x (2+3)Ã— 4 Ã— (3 + 2) = ?
Choices:
70000
14000
65000
82000
Answer: A
Question: If Reneesh earns a raise of between 5% and 10%, non-inclusive, by what fraction could her salary have increased?
Choices:
1/5
7/100
3/25
1/20
Answer: B
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Choices:
4:3
4:6
4:2
4:1
Answer: A
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 36° of the chart, how much of the Roberts’s $40,000 annual budget is dedicated to clothes and shoes?
Choices:
$3,000
$4,500
$4,000
$5,400
Answer: C
Question: Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 15 percent travel, 10 percent on clothes and the remaining amount of Rs.27000 is saved. What is Ajay’s income?
Choices:
Rs.60000
Rs.60700
Rs.70500
None of these
Answer: A
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 18 feet tall and 3 feet in circumference?
Choices:
12 feet
13 feet
15 feet
18 feet
Answer: D
Question: During the last four years, a large truck company purchased diesel at rates of $1.2, $1.4, $1.7 and $2.1 per gallon. What was the mean cost of diesel over the four-year period if the company spends the same amount of dollars on diesel each year?
Choices:
$2.55
$1.53
$3.25
$3.0
Answer: B
Question: Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
Choices:
3/4
7/18
5/17
7/9
Answer: B
Question: A can do a work in 4 days. B can do the same work in 6days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?
Choices:
600,400
300,700
800,200
550,450
Answer: A
Question: Find the odd man out. 742, 743, 633, 853, 871, 990, 532
Choices:
742
990
633
871
Answer: A
Question: A man sells a horse for Rs.800 and loss something, if he had sold it for Rs.820, his gain would have been trible the former loss. Find the cost price of the horse?
Choices:
905
815
805
705
Answer: C
Question: The average weight of 30 boys sitting in a bus had some value. A new person added to them whose weight was 40 kg only. Due to his arrival, the average weight of all the boys decreased by 2 kg. Find the average weight of first 30 boys?
Choices:
122
30
120
102
Answer: D
Question: Dacid obtained 96, 98, 99, 100 and 98 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Choices:
99
88
88
98
Answer: D
Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 64 hours respectively. The ratio of their speeds is
Choices:
5 : 9
6 : 7
8 : 11
None
Answer: D
Question: The speed of a car is 90 km in the first hour and 80 km in the second hour. What is the average speed of the car?
Choices:
75
85
54
15
Answer: B
Question: How many pieces of 85 cm length can be cut from a rod of 34 meters long?
Choices:
40
30
20
10
Answer: A
Question: Reema took a loan of Rs 800 with simple interest for as many years as the rate of interest. If she paid Rs. 632 as interest at the end of the loan period, what was the rate of interest.
Choices:
8.88%
8.32%
8%
9%
Answer: A
Question: In the youth summer village there are 175 people, 100 of them are not working,75 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
Choices:
75
85
80
100
Answer: A
Question: By selling 18 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 35%?
Choices:
13
15
18
12
Answer: D
Question: If a man buys 1 lt of milk for Rs.12 and mixes it with 20% water and sells it for Rs.15, then what is the percentage of gain?
Choices:
28%
29%
50%
55%
Answer: C
Question: A gardener sells 100 metres of fencing for Rs. 7500 at a loss of Rs. 3 per metre. Find his cost price for one metre of fencing?
Choices:
67
62
78
72
Answer: C
Question: In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. What is the length of the garden?
Choices:
28 m
26 m
24 m
22 m
Answer: C
Question: Find the area of a parallelogram with base 24 cm and height 16 cm?
Choices:
284
288
255
122
Answer: A
Question: If 45% of z is 39% of y and y is 75% of x, what percent of x is z?
Choices:
160
100
65
50
Answer: C
Question: A fort had provision of food for 150 men for 45 days. After 15 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Choices:
37	1/4
42
54
36
Answer: D
Question: A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
Choices:
1.5
1.7
1.4
1.1
Answer: A
Question: A student scored an average of 80 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Choices:
76
87
80
82
Answer: C
Question: One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.023 per millisecond of computer time, and $5.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
Choices:
$8.87
$28.96
$35.57
$40.92
Answer: D
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
19 sec
48 sec
18 sec
38 sec
Answer: B
Question: 36 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ?
Choices:
6
7
8
10
Answer: D
Question: In a stack of cards, 8 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 1/2. What is the number of cards in the stack?
Choices:
11
12
15
18
Answer: A
Question: Machine P and Machine Q are each used to manufacture 770 sprockets. It takes Machine P 10 hours longer to produce 770 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choices:
5
7
9
11
Answer: B
Question: In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 90%, what was the average score for the entire class?
Choices:
67%
69%
72%
75%
Answer: B
Question: A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Choices:
10
15
18
20
Answer: A
Question: A man spends 10% of his income on food and 80% of the remaining income on clothing. If he still has a balance of Rs. 180. what is his total income?
Choices:
1000
804
934
230
Answer: A
Question: An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?
Choices:
19
60
180
720
Answer: B
Question: If x is an even integer, which of the following is an odd integer?
Choices:
7x
8x +5
x^2
x^3
Answer: B
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 24 times, A has killed:
Choices:
27 birds
30 birds
80 birds
20 birds
Answer: A
Question: Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
Choices:
15
18
36
72
Answer: C
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
Choices:
19
72
180
720
Answer: B
Question: A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Choices:
4 hours 49 minutes
4 hours 45 minutes
4 hours 75 minutes
7 hours 45 minutes
Answer: B
Question: In the formula V = 1/(5r)^2, if r is halved, then V is multiplied by
Choices:
8
1
1/8
4
Answer: D
Question: The mean of set Y does not exceed mean of any subset of set Y. Which of the following must be true about set Y?
I. Set Y contains only one element
II. All elements in set Y are equal
III. The median of set Y equals the mean of set Y
Choices:
II only
III only
II and III only
I, II, and III
Answer: C
Question: 2, 1, (1/2), (1/4), ?
Choices:
1/9
1/5
1/8
1/4
Answer: C
Question: Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Choices:
29
20
11
13
Answer: B
Question: The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be :-
Choices:
87 : 100
110 : 111
85 : 98
97 : 84
Answer: D
Question: Each child has 2 pencils and 13 Skittles. If there are 6 children, how many pencils are there in total?
Choices:
12
18
22
08
Answer: A
Question: An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is?
Choices:
400
500
600
700
Answer: A
Question: Marts income is 60 percent more than Tims income and Tims income is 60 percent less than Juans income. What percentage of Juans income is Marts income
Choices:
b) 64 %
c) 96 %
d) 80 %
e) 64 %
Answer: A
Question: What is the 99th digit after the decimal point in the decimal expansion of 2/9 + 3/11?
Choices:
2
4
7
9
Answer: B
Question: If A is an even integer and q is an odd integer, which of the following must be an odd integer?
Choices:
Aq
2A+q
2(A+q)
3A/q
Answer: B
Question: In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Choices:
18
20
24
29
Answer: C
Question: The time it took car P to travel 900 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
Choices:
54
62
70
80
Answer: B
Question: If a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
Choices:
10
30
36
48
Answer: A
Question: A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is
Choices:
220030
23030
24030
25030
Answer: A
Question: In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-two students are registered for Math, and thirty-five 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
7
Answer: C
Question: Sum of the squares of three numbers is 579 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
22
25
29
28
Answer: C
Question: If the sides of a triangle are 52 cm, 48 cm and 20 cm, what is its area?
Choices:
480 cm2
216 cm2
197 cm2
275 cm2
Answer: A
Question: If a and b are integer numbers which is greater then one, which of the following CANNOT be the value of ab?
Choices:
14
21
23
25
Answer: C
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Choices:
3 hours
4 hours
5 hours
6 hours
Answer: B
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Choices:
5%
8%
40%
None of these
Answer: C
Question: Tina and Rebecca had the same number of candies. Tina gave Rebecca 24 candies so that now Rebecca has four times as many candies as Tina has. Rebecca has now how many candies?
Choices:
64
54
55
60
Answer: A
Question: An engine moves at the speed of 90 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 78 kmph.What will be the speed of train when 16 coaches are attached.
Choices:
66
80
68
73
Answer: A
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *8 + 3 and *8 + 8, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
Choices:
Rs. 15
Rs. 11
Rs. 13
Rs. 01
Answer: A
Question: 3 boys and 7 girls can complete a work in 10 days . But 4 boys and 6 girls need 8 days to complete the same work . In how many days will 10 girls complete the same work?
Choices:
30 days
40 days
50 days
60 days
Answer: B
Question: if C is a whole number , C+1 is whole number after that. if A is whole number, what is whole number before that
Choices:
-1, not a whole number
0 whole number
-A whole number
none
Answer: A
Question: How many three digit numbers Z greater than 330 can be formed from the digits 1, 2, 3, 4, 5 and 6, if each digit can only be used once?
Choices:
72
120
96
76
Answer: A
Question: A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Choices:
20 days
5 days
4 days
3 days
Answer: A
Question: A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age seven years back was?
Choices:
12 years
14 years
16 years
18 years
Answer: A