antoine-444/aqua_rat_dataset huggingface dataset:
Question: The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.respectively .If they all change simultaneously at 8:20:00 hours,then at what time they again change simultaneously .
Choices:
8:22:12 hrs
8:25:12 hrs
8:27:12 hrs
8:21:12 hrs
Answer: C
Question: Find the missing value?
19 28 23 32
40 31 36 27
? 44 39 48
Choices:
32
33
34
35
Answer: D
Question: Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
Choices:
300
772
552
312
Answer: A
Question: Two pens and three pencils cost Rs 86. four Pens and a pencil cost Rs. 112. find the cost of a pen and that of a pencil.
Choices:
12
15
19
20
Answer: A
Question: The cost price of an article is 70% of the marked price. Calculate the gain percent after allowing a discount of 10%.
Choices:
28.6%
35.6%
42.3%
none
Answer: A
Question: Solve the quickfire maths brain teaser âˆš49% = ?
Choices:
40%
70%
19%
29%
Answer: B
Question: There are 13person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
Choices:
7!*2!
6!*1!
10!*2!
5!*1!
Answer: C
Question: The probability of selecting face card of any color from 52 cards
Choices:
2/13
3/13
4/13
5/13
Answer: B
Question: If a certain number is divisible by 36 and 52, it is NOT necessarily divisible by which of the following?
Choices:
6
13
16
18
Answer: C
Question: A lady builds 8cm length, 15cm width, and 5cm height box using 10cubic cm cubes. What is the minimum number of cubes required to build the box?
Choices:
60
70
89
78
Answer: A
Question: A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random form this box. The probability that at least one of these is defective is:
Choices:
7/19
17/19
19/19
14/19
Answer: A
Question: Working together at their respective constant rates, Machine A and Machine B can produce 600 units in 8 hours. Working alone, Machine B would complete that same output in 50% more time. If Machine A were to work on its own for an 8-hour shift, what percent of the 600 unit total would it produce?
Choices:
37
50
30
75
Answer: C
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:
150m
750m
180m
159m
Answer: A
Question: Andrew travelling to 7 cities. Gasoline prices varied from city to city. What is the median gasoline price?
Choices:
$1.84
$2.54
$2.65
$3
Answer: A
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:
2/5529
5525/2
1/5525
2/5525
Answer: D
Question: NHAI employs 100 men to build a highway of 2km in 50 days working 8 hours a day.if in 25 days they completed 1/3 part of work .than how many more emploies should NHAI hire to finish it in time working 10 hours a day
Choices:
60
80
50
40
Answer: A
Question: n what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
Choices:
5/6
3/4
1/5
6/16
Answer: A
Question: The wages earned by Robin is 38% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Choices:
27.53%
30%
50%
100%
Answer: A
Question: There are three departments having students 68,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
Choices:
74
75
76
77
Answer: B
Question: An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 12 o'clock noon?
Choices:
60
90
120
150
Answer: C
Question: Which of the following integers is the square of an integer?
Choices:
73,410,624
54,113,892
42,785,337
31,298,793
Answer: A
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Choices:
A)40
C)729
D)34
E)35
Answer: A
Question: A coin is tossed 4 times. What is the probability t that the number of Heads is equal to the number of Tails?
Choices:
1/4
3/8
1/2
9/16
Answer: B
Question: A trader mixes 25 kg of rice at Rs. 40 per kg with 25 kg of rice of other variety at Rs. 20 per kg and sells the mixture at Rs. 40 per kg. His profit percent is:
Choices:
33.33%
8%
10%
None of these
Answer: A
Question: In a vacant lot a man have 5 goat which eat in 2 days all the bush of 1/4 part of the lot, full of bushes. If the man added 10 goats to the lot and all of them will eat the weed at the same rate, how many days will take to all the goats eat all the bushes of the lot, since the first day?
Choices:
7 days
6 days
5 days
4 days
Answer: D
Question: In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
Choices:
24
42
46
52
Answer: A
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 12 - ounce cans of the concentrate are required to prepare 272 6-ounce servings of orange juice?
Choices:
34
50
67
100
Answer: A
Question: A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 3 days, B can complete the job in 4 days and C can complete the job in 6 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Choices:
4/3 days
3 days
12days
14 days
Answer: A
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
24 years
25 years
26 years
27 years
Answer: C
Question: A man purchases 2 pens for $ 56. He sells one at 20% profit and the other at a loss of 15%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
Choices:
$ 24 and $ 32
$56and $32
$56 and $24
$32 and $ 56
Answer: A
Question: A rectangular block 12cm by 20cm by 36cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
Choices:
135
15
40
22
Answer: A
Question: Ron scored 344 marks out of 400 marks and his elder brother Ben scored 582 marks out of 600 marks. Who scored percentage is better?
Choices:
97
28
26
19
Answer: A
Question: The sum of two consecutive number is 109. Which is the larger number?
Choices:
43
44
45
55
Answer: D
Question: It takes a boat 3 hours to travel down a river from point A to point B, and 5 hours to travel up the river from B to A. How long would it take the same boat to go from A to B in still water?
Choices:
3 hours and 45 minutes.
4 hours and 54 minutes.
6 hours and 26 minutes.
5 hours and 59 minutes.
Answer: A
Question: There are two groups of students in the sixth grade. There are 30 students in group A, and 50 students in group B. If, on a particular day, 20% of the students in group A forget their homework, and 12% of the students in group B forget their homework, then what percentage of the sixth graders forgot their homework?
Choices:
14%
15%
16%
17%
Answer: B
Question: Every day, the value of a stock rises by exactly two dollars in the morning, and
then falls by exactly one dollar in the afternoon. If the stock's value at the start of the first
day is $100, on what day will the stock's value first reach $200?
Choices:
99
100
101
200
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 16 years at the same rate?
Choices:
2
3
4
5
Answer: C
Question: Excluding stoppages, the speed of a train is 42 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
Choices:
8.5
9.5
4.5
6.5
Answer: A
Question: The average of 9 results is 50. If the average of first 4 results is 45 and that of the last six is 48, find the 5th result?
Choices:
15
35
18
22
Answer: A
Question: The average age of 25 students in a class is 12 years. 15 students whose average age is 10 years joined them. What is the present average age.
Choices:
12.6
11.25
12
13
Answer: B
Question: A certain bag contains 60 balls — 22 white, 10 green, 7 yellow, 15 red, and 6 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.65
0.54
0.85
0.91
Answer: A
Question: If Sharon's weekly salary increased by 16 percent, she would earn $348 per week. If instead, her weekly salary were to increase by 20 percent, how much would she earn per week?
Choices:
$382
$385
$360
$399
Answer: C
Question: The ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 40 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 200 liters of water, how many liters of detergent will it contain?
Choices:
55
50
45
40
Answer: D
Question: If n is a positive integer, and n^2 has 25 factors, which of the following must be true.
1. n has 12 factors.
2. n > 50
3.√n is an integer.
Choices:
2 only
3 only
2 and 3
none
Answer: B
Question: Which number should replace both the asterisks in (* /21) x (*/84) = 1 ?
Choices:
42
63
72
168
Answer: A
Question: 1600 men have provisions for 28 days in the temple. If after 4 days, 400 men leave the temple, how long will the food last now?
Choices:
54 days
32 days
76 days
76 days
Answer: B
Question: In how many ways can six members be selected from a group of ten members?
Choices:
10C8
10C4
10C3
10C1
Answer: A
Question: The value of 3.6x0.48x2.50 / 0.12x0.09x0.5 is
Choices:
800
8000
80000
None of these
Answer: A
Question: If W is the set of all the integers between 49 and 114, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Choices:
44
45
55
72
Answer: A
Question: A can do a piece of work in 6days of 9 hours each and B alone can do it in 12 days of 9 hours each.how long will they take it to do working together
4 1/2 hours a day?
Choices:
8 days
7 days
6 days
10 days
Answer: A
Question: In order to obtain an income of Rs. 1000 from 50% stock at Rs. 500, one must make an investment of
Choices:
Rs.16050
Rs.15400
Rs.10000
Rs.10500
Answer: C
Question: If 6th March, 2017 is Sunday, what was the day of the week on 6th March, 2016?
Choices:
Saturday
Tuesday
Wednesday
None of these
Answer: A
Question: A sum of Rs.48000 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:
31200
28770
29990
12770
Answer: A
Question: Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $150, what were her original savings?
Choices:
$600
$700
$800
$900
Answer: A
Question: Two spherical balls lie on the ground touching. If one of the balls has a radius of 7 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball (in centimeters)?
Choices:
50/3
70/4
80/5
90/8
Answer: B
Question: In measuring the sides of a rectangle, one side is taken 4% in excess, and the other 3% in deficit. Find the error percent in the area calculated from these measurements.
Choices:
0.7%
0.4%
0.6%
0.88%
Answer: D
Question: In a basketball game, Dhoni scored 15 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 77 points, how many points did Dhoni score?
Choices:
23
25
28
32
Answer: A
Question: A park square in shape has a 3 metre wide road inside it running along its sides. The area occupied by the road is 1764 square metres. What is the perimeter along the outer edge of the road?
Choices:
589 metres
600 metres
700 metres
None
Answer: B
Question: A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Choices:
277
299
860
223
Answer: C
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If V is the smallest prime number that is also a factor of x-1, then which of the following expressions must be true?
Choices:
4<y<10
10<y<20
20<y<30
y>30
Answer: D
Question: S is a set containing 10 different positive odd primes. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
Choices:
The median of T is prime
The median of S is equal to the median of T.
The sum of the terms in S is prime.
The sum of the terms in T is prime.
Answer: D
Question: If x > y and y > z, which of the following represents the greatest number R?
Choices:
x − z
y − x
z − y
z − x
Answer: A
Question: Twenty times a positive integer is less than its square by 96. What is the integer?
Choices:
24
30
Cannot be determined
None of these
Answer: A
Question: A merchant who marked his goods up by 50% subsequently offered a discount of 20% on the marked price. What is the percentage profit that the merchant made after offering the discount?
Choices:
125%
25%
20%
16.66%
Answer: C
Question: The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is:
Choices:
2:3
2:4
2:1
2:9
Answer: A
Question: If s, t and r are positive integers greater than 1, and s and t are factors of r, which of the following must be the factor of r^(st)?
I. s+t
II. t^s
III. s^2 * t^2
Choices:
II only
III only
I and II
II and III
Answer: D
Question: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have?
Choices:
6
9
10
12
Answer: A
Question: 1, 9, 25, 49, 81, ?
Choices:
121
144
169
171
Answer: A
Question: The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Choices:
19028
27788
19000
27711
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/455
1/418
1/420
1/428
Answer: A
Question: A rectangular lawn of dimensions 80 m * 50 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
B)930
C)9309
D)3600
E)8302
Answer: C
Question: Concentrated lime juice comes inside a cylinder tube with a radius of 2.5 inches and a height of 15 inches. The tubes are packed into wooden boxes, each with dimensions of 11 inches by 10 inches by 31 inches. How many tubes of concentrated lime juice, at the most, can fit into 3 wooden boxes?
Choices:
24.
36.
42.
48.
Answer: A
Question: The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs?
Choices:
248
492
15,128
30,256
Answer: B
Question: A Bell Curve (Normal Distribution) has a mean of − 1 and a standard deviation of 1/8 . How many integer values O are within three standard deviations of the mean?
Choices:
1
3
6
7
Answer: A
Question: In a recent election, Ms. Robinson received 8000 voters cast by independent voters, that is, voters not registered with a specific political party. She also received 50 percent of the votes cast by those voters registered with a political party. IF N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Mrs. Robbins received?
Choices:
0.3N+8000
0.4N+7200
0.1N+8000
0.06N+8000
Answer: A
Question: There are 25 stations between Delhi and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Choices:
850
852
702
722
Answer: C
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
9
8
65
2
Answer: B
Question: If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
Choices:
Rs. xd
Rs. (yd/x)
Rs. yd
none
Answer: B
Question: The area of a square garden is A square feet and the perimeter is p feet. If a=2p+15, what is the perimeter of the garden, in feet?
Choices:
36
40
56
64
Answer: B
Question: When the positive integer A is divided by 9 and 7, the remainder is 3 and 4, respectively. When the positive integer B is divided by 9 and 7, the remainder is 3 and 4, respectively. Which of the following must be a factor of A-B?
Choices:
48
54
63
72
Answer: C
Question: Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 40 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?
Choices:
34
38
40
46
Answer: B
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:
Rs.480
Rs.500
Rs.450
Rs.550
Answer: A
Question: Calculate the cost of u bags of fruits given that the cost of h bags of said fruit is r rupees?
Choices:
Rs.(ur/h)
Rs.(ur*h)
Rs.(u/h)
Rs.(r/h)
Answer: A
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. The length of the garden is
Choices:
22 m
24 m
26 m
28 m
Answer: B
Question: The ratio of white balls to black balls is 1:2.If 9 grey balls are added then the ratio of white:black:grey is 2:4:3.Find the number of black balls.
Choices:
12
13
15
16
Answer: A
Question: How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Choices:
7
4
8
6
Answer: D
Question: A store is having a store-wide sale of 10% off all merchandise. If a discontinued item is an additional 25% off, what is the sale price of an item whose original non-sale price was $50?
Choices:
$33.75
$34.00
$34.25
$34.50
Answer: A
Question: An amount of money is to be divided between Priya, Mani and Rani in the ratio of 2:4:8. If the difference between the shares of Priya and Mani is Rs.200, what will be the difference between Mani and Rani's share?
Choices:
3000
2866
2999
400
Answer: D
Question: A person crosses a 600 metre long street in 5 minutes. What is his speed in km per hour?
Choices:
4.2
6.1
7.2
6.5
Answer: C
Question: Joan took out a mortgage from hel local bank. Each monthly mortgage payment she makes must be triple the amount of the previous month's payment. If her first payment is $100, and the total amount she must pay back is $36400, how many months will it take Joan to pay back her mortgage?
Choices:
6
10
11
13
Answer: A
Question: How many ways could three boxes can be arranged in a shelf with five boxes space in which two places in the shelf will remain empty?
Choices:
60
8
12
120
Answer: A
Question: Boy purchased two flats for Rs.5,00,000. On one he gains 15 % while on the other he losses 15%. How much does he gain or lose?
Choices:
2.15%
2.25%
2.50%
3%
Answer: B
Question: What is the greatest possible (straight line) distance, between any two points on a hemisphere of radius 2?
Choices:
1
π/4
4
π
Answer: C
Question: An object thrown directly upward is at a height of h feet after t seconds, where h = -12 (t-3)^2 + 120. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
Choices:
54
60
66
72
Answer: D
Question: Two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.18
7.16
7.15
7.12
Answer: C
Question: A train passes a man standing on the platform. If the train is 125 meters long and its speed is 90 kmph, how much time it took in doing so?
Choices:
2 sec
9 sec
5 sec
1 sec
Answer: C
Question: Addison High School’s senior class has 300 boys and 240 girls. If 60% of the boys attended the college then 60% of the total class attended college, what percentage of the girls class attended college?
Choices:
60
46
55.56
65
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5 sec
2.7 sec
8.7 sec
8.5 sec
Answer: A
Question: In a certain country, 60 percent of the population likes basketball, and 32 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?
Choices:
33%
40%
53%
67%
Answer: C
Question: The C.P of 15 books is equal to the S.P of 19 books. Find his gain% or loss%?
Choices:
16 2/8%
16 2/5%
21 1/19%
16 1/3%
Answer: C
Question: In the rectangular coordinate system, if the line x = 5y + 5 passes through points (m,n) and (m + 2,n + p), what is the value of p?
Choices:
2/3
1/4
2/5
3/7
Answer: C
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
Choices:
31/32
31/29
31/28
31/08
Answer: A
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Choices:
9:31
9:27
9:19
9:17
Answer: A
Question: A man persuaded Weary Willie, with some difficulty, to try to work on a job for thirty days at eight dollars a day, on the condition that he would forfeit ten dollars a day for every day that he idled. At the end of the month neither owed the other anything, which entirely convinced Willie of the folly of labor. Can you tell just how many days' work he put in and on how many days he idled?
Choices:
1673 &13 1/3 days
1433 &13 1/6 days
2173 &13 1/5 days
2273 &13 1/7 days
Answer: A
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?
Choices:
18
99
77
51
Answer: A
Question: If f(b)=b^2, what is the value of (f(a+b)−f(a))/b ?
Choices:
b
2a + b
2a +-b
2b - a
Answer: B
Question: Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Choices:
1
3
8
6
Answer: A
Question: A man can row upstream 10 kmph and downstream 30 kmph. Find the rate of the stream and man rate in still water.
Choices:
30,20
1,20
20,20
10,20
Answer: D
Question: There are 100 freshmen at a particular college, all of whom must take at least one of the three core classes: Art, Biology, and Calculus. Of these freshmen, 17 take only Biology, 6 take only Calculus, 5 take all three classes, and 20 take Art and exactly one of the other two core classes. If the number of freshmen who take only Art is 3 times the number of freshmen who take every core class except Art, how many freshmen take Art?
Choices:
64
36
48
61
Answer: A
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
Choices:
287 m
288 m
150 m
287 m
Answer: C
Question: If The GCD of two numbers (not equal, both integers, greater than 1) is 2, then which of the following can be true?
A. They are prime.
B. They are even.
C. They do not have a common prime factor.
D. They do not have a common factor other than 2.
Choices:
Only B
Only C
Only D
Only B and D
Answer: A
Question: X can do a piece of work in 15 days. If he is joined by Y who is 50% more efficient, in what time will X and Y together finish the work?
Choices:
6 days
18 days
Data insufficient
None of these
Answer: A
Question: The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 7 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Choices:
35
75
80
79
Answer: D
Question: A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 6 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hiring of these three people are possible?
Choices:
6 × 4 × 10
21 × 20 × 19
6! + 4! + 10!
6! × 4! × 10!
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
6.5
6.75
7
6
Answer: D
Question: A father left a will of 68,000 to be divided between his two sons aged 10 years and 12 years such that they may get equal amount when each attains the age of 18 years If the money is reckoned at 10% p.a., find how much each gets at the time of the will.
Choices:
28,000, 40,000
32,000, 36,000
Cannot be determined.
None of these
Answer: B
Question: The average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. What is the weight of the new person?
Choices:
75 kg
95 kg
65 kg
55 kg
Answer: A
Question: If a - b = 3 and a^2 + b^2 = 35, find the value of ab.
Choices:
13
10
18
13
Answer: A
Question: Jack spent 1/6 of his lifetime in adolescence. His facial hair started growing after 1/12 more of his life. He successfully married his girlfriend Diana after 1/7 more of his life. Their son was born after 5 years from then. The son lived just 1/2 of what Jack lived. Jack dies four years after his son died.
How long did Jack live ?
Choices:
90
45
80
84
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Choices:
277
272
150
221
Answer: C
Question: In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Choices:
2/5
2/7
5/7
None of these
Answer: B
Question: Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability Q, that a book selected at random is either a hard cover book or a chemistry book?
Choices:
3/20
1/5
1/4
9/20
Answer: D
Question: Two trains A and B are 125 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
Choices:
11 s
4 s
8 s
12 s
Answer: A
Question: The length of the bridge, which a train 170 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
777
282
266
205
Answer: D
Question: A 270 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:
230
299
267
221
Answer: A
Question: If the side length of Square B is five times that of Square A, the area of Square B is how many times the area of Square A?
Choices:
15
25
35
45
Answer: B
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
33/99
33/96
33/92
Answer: A
Question: The ratio of the number of ladies to gents at a party was 1:2 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
Choices:
11
12
98
58
Answer: B
Question: Sum of 3 consecutive even no.'s is 30 more than the 1st no. of the series. Find the middle no.?
Choices:
12
14
16
18
Answer: B
Question: How many words can be formed by using all letters of the word “BIHAR”
Choices:
320
365
456
120
Answer: D
Question: An investment yields an interest payment of $228 each month. If the simple annual interest rate is 9%, what is the amount of the investment?
Choices:
$30,400
$31,300
$32,500
$35,100
Answer: A
Question: The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
Choices:
67
02
Data inadequate
23
Answer: C
Question: A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates W apply to what fraction of a week?
Choices:
5/8
9/14
16/21
9/10
Answer: B
Question: If 10 toys cost Rs, 234, what do 35 toys cost?
Choices:
564
546
819
None of them
Answer: C
Question: What is the greatest positive integer n such that 3^n is a factor of 54^100?
Choices:
200
300
600
900
Answer: B
Question: How many odd integers F between 200 and 600 are there such that their tens digit is even?
Choices:
25
100
150
200
Answer: B
Question: In the presidential election, 55% of the people who voted, voted for the democratic candidate and 35% voted for the republican candidate. If 8% of the number of people eligible to vote, voted for neither the republican nor the democrat, what percent of people eligible to vote actually voted in the elections?
Choices:
60
80
88
90
Answer: B
Question: If Sharon's weekly salary increased by 15 percent, she would earn $460 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Choices:
Rs.440
Rs.150
Rs.460
Rs.520
Answer: A
Question: In a certain village, n litres of water are required per household per month. At this rate, if there are m households in the village, how long (in months) will p litres of water last?
Choices:
P/mn
mp / n
np / m
npm
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Choices:
700
288
500
211
Answer: C
Question: A city has a population of 3,00,000 out of which 1,80,000 are males. 50% of the population is literate. If 70% of the males are literate, the number of literate females is :
Choices:
24,000
30,000
34,000
36,000
Answer: A
Question: If you write down all the numbers from 1 to 100, then how many times do you write 3 ?
Choices:
18
20
21
22
Answer: B
Question: The arithmetic mean of the scores of a group of students in a test was 42. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is?
Choices:
B)51.7
C)33.18
D)51.1
E)51.2
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 : 2?
A. 48 kmph
Choices:
360/7
28
27/8
16
Answer: A
Question: If 22 men do a work in 55 days, in how many days will 10 men do it?
Choices:
121
119
125
127
Answer: A
Question: 2 years ago, the average age of a family of 5 members was 16 years. After a baby is born, the average age of family is the same today. Find the present age of the baby.
Choices:
6 years
8 years
8 ½ years
9 years
Answer: A
Question: A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?
Choices:
276
279
646
370
Answer: C
Question: The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $25. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Choices:
987
1070
1371
1667
Answer: B
Question: Seven years back, a father was 48 years older than his son. At present the father is 4 times as old as the son. How old will the son be three years from now?
Choices:
17 years
18 years
19 years
20 years
Answer: C
Question: Peeta asks Katniss, 'It is 10 9m as per my watch right now.Do you know what will be the time 23, 999, 996 hours later?'
Katniss knows the answer. Do you ?
Choices:
6pm
4am
7pm
8pm
Answer: C
Question: How many multiples of 7 are there between 700 and 1000, inclusive?
Choices:
43
22
21
20
Answer: A
Question: The difference between the compound interest and simple interest accrued on an amount at the end of three years at the rate of 12% is Rs.381.888. What is the amount?
Choices:
Rs. 8400
Rs.8000
Rs.8200
Rs.8500
Answer: D
Question: The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Choices:
85 kg
95 kg
65 kg
None of these
Answer: A
Question: A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.
Choices:
120
130
140
None
Answer: B
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 5 kg more than Peter. Together the three of them picked 29 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
Choices:
12, 11 and 6
11, 6 and 12
12, 6 and 11
6, 12 and 11
Answer: C
Question: A train covers a distance in 50 min, if it runs at a speed of 48kmph on an average. The speed at which the train must run to reduce the time of journey to 10min will be.
Choices:
55 km/h
240 km/h
70 km/h
65 km/h
Answer: B
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 450 employees in December, how many employees did it have in January?
Choices:
392
410
423
445
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
18
21
Answer: A
Question: Anand starts from a point P towards point Q, where PQ = 80 km. After 1 hour, Ram starts from P and catches up with Anand after 2 more hours. After meeting they continue to travel towards Q. On reaching Q, Ram reverses his direction and meets Anand 6 hours after the first meeting. Find Anand's speed.
Choices:
(160/21) kmph
(40/7) kmph
(30/7) kmph
(65/7) kmph
Answer: A
Question: The sum of 5 different positive 2-digit integers is 130. What is the highest possible value of the largest of these integers?
Choices:
84
78
74
68
Answer: A
Question: For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (9,3) and center at the point (4,3), what are the coordinates of the remaining vertex?
Choices:
(3,9)
(4,9)
(6,4)
(3,6)
Answer: D
Question: What could be the maximum value of Q in the following equation?
5P9 + 3R7 + 2Q8 = 1114
Choices:
6
7
8
9
Answer: D
Question: In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 150 students and the middle school enrolled 75 students. Later, the middle school transferred s dollars to the high school so that they would have received the same funding per student. Which of the following is equivalent to s?
Choices:
r/5
r/2
r/3
r/9
Answer: C
Question: A chemical supply company has 60 liters of a 25% HNO3 solution. How many liters of pure undiluted HNO3 must the chemists add so that the resultant solution is a 50% solution?
Choices:
15
20
24
30
Answer: D
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Choices:
14 seconds
14 seconds
12 seconds
12 seconds
Answer: C
Question: 50, 47, 45, 42, 40, 37, ?
Choices:
35
34
33
32
Answer: A
Question: A 4-letter code word consists of letters X, Y, and Z. If the code includes all the three letters, how many such codes are possible?
Choices:
36
48
24
18
Answer: A
Question: If y exceeds x by 22%, then x is less than y by?
Choices:
18 8/3%
18 2/61%
76 2/3%
17 2/3%
Answer: B
Question: Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 12.5km apart, if they walk in the same direction?
Choices:
22 hrs
25 hrs
12 hrs
14 hrs
Answer: B
Question: If n is a positive integer, then n(n-1)(n-2) is +ve even
Choices:
divisible by 3 only when n is odd
divisible by 4 whenever n is even
even only when n is odd
even only when n is even
Answer: B
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
Choices:
255
260
267
459
Answer: A
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
Rs.8000
Rs.7500
Rs.7800
None
Answer: A
Question: Find the sum of prime numbers lying between 60 and 72?
Choices:
201
199
272
None
Answer: B
Question: Workers decided to raise Rs.3lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25lacs. How many workers were they?
Choices:
600
500
700
800
Answer: B
Question: What is the greatest power that 7 can be raised to so that the resulting number is a factor of 21!?
Choices:
3
4
5
6
Answer: A
Question: In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Choices:
3kmph
8kmph
9kmph
7kmph
Answer: B
Question: A, B, C hired a car for Rs. 520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were :
Choices:
160
220
225
None
Answer: A
Question: If [B] denotes the least integer greater than or equal to B and [B] = 0, which of the following statements must be true?
Choices:
0 <= B < 1
0 < B <= 1
-1 < B <= 0
-1 <= B < 0
Answer: C
Question: The average of non-zero number and its square is 5 times the number. The number is:
Choices:
9
8
5
3
Answer: A
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
88
18
26
12
Answer: B
Question: If 7 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Choices:
588
120
160
1260
Answer: A
Question: The least number which is a perfect square and is divisible by each of the numbers 16,20, and 24, is :
Choices:
3600
6400
11400
None of these
Answer: A
Question: In 2triangle, the ratio of the areas is 4:3 and that of their heights is 3:4. Find the ratio of their bases?
Choices:
11:8
16:9
17:19
17:10
Answer: B
Question: My age is two year more than twice than of Ram. If I am 34 years old, how old is Ram?
Choices:
14
16
20
12
Answer: B
Question: The juice stall at the circus stocked just 2 brands of orange juice tetra packs. Brand A costs $1 per pack and brand B costs $1.5 per pack. Last week , brand A contributed to r% of stall’s revenue and accounted for s% of sales of juice tetra packs. Which of the following expresses r in terms of s?
Choices:
200s/(250-s)
200s/(300-s)
250s/(400-s)
300s/(500-s)
Answer: B
Question: In an animal behavior experiment, 50 tagged white pigeons and 300 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory?
Choices:
82
81.75
85
86.5
Answer: B
Question: The product of all the prime numbers less than 15 is closest to which of the following powers of 10?
Choices:
10^2
10^7
10^6
10^5
Answer: A
Question: What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
Choices:
Rs. 2.04
Rs. 4.80
Rs. 6.30
Rs. 8.30
Answer: A
Question: What is the smallest number W which when increased by 5 is completely divisible by 8, 11 and 24?
Choices:
259
269
270
282
Answer: A
Question: How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 142 m length?
Choices:
12.6 sec
19.1 sec.
17.1 sec.
42.1 sec.
Answer: A
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 66. What is the largest among them?
Choices:
24
25
36
57
Answer: B
Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
Choices:
1440 ways
1220 ways
2810 ways
2760 ways
Answer: A
Question: A bike covers a certain distance at the speed of 16km/h in 2 hrs. If the bike was to cover the same distance in approximately 4 hrs, at what approximate speed should the bike travel?
Choices:
8 km/h
7 km/h
6 km/h
10 km/h
Answer: A
Question: A snooker tournament charges $40.00 for VIP seats and $15.00 for general admission (“regular” seats). On a certain night, a total of 320 tickets were sold, for a total cost of $7,500. How many fewer tickets were sold that night for VIP seats than for general admission seats?
Choices:
212
220
230
240
Answer: A
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 15 candidates. She plans to have one working interview with 3 of the 15 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
Choices:
120
300
360
333
Answer: C
Question: When divided by 5, x has a remainder of 4 and y has a remainder of 3. Which of the following could be the remainder when x + y is divided by 10?
Choices:
7
8
9
0
Answer: A
Question: Brandon has cans of both diet soda as well as regular soda. The ratio of diet soda to regular soda is 3 to 7. He has 12 more cans of soda than diet. How many cans of diet soda does he have left?
Choices:
7
8
9
10
Answer: C
Question: Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:
Choices:
45 km/hr
60 km/hr
75 km/hr
65 km/hr
Answer: B
Question: The total marks obtained by a student in Mathematics and Physics is 50 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together.
Choices:
25
35
45
55
Answer: B
Question: What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Choices:
2
6
8
10
Answer: A
Question: A number is increased by 40% and then decreased by 40%, the final value of the number is ?
Choices:
decrease by 12%
decrease by 16%
decrease by 14%
decrease by 15%
Answer: B
Question: Of the people who responded to a market survey, 150 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 5 to 1, how many people responded to the survey?
Choices:
180
240
360
480
Answer: A
Question: A bag consists of 20 marbles, of which 5 are blue, 7 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Choices:
3/4
1/4
1/8
1/16
Answer: A
Question: Exactly 36% of the numbers in set A are even multiples of 3. If 40% of the even integers in set A are not multiples of 3, what percent of the numbers in set A are not even integers?
Choices:
60%
50%
40%
24%
Answer: C
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 hours to fill the tank. The leak can drain all the water of the tank in:
Choices:
7 hours
8 hours
14 hours
15 hours
Answer: C
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:
297
266
480
435
Answer: C
Question: Given that p is a positive even integer with a positive units digit, if the units digit of p^3 minus the units digit of p^2 is equal to 0, what is the units digit of p + 5?
Choices:
8
9
10
11
Answer: D
Question: Walking with 4/5 of my usual speed, I arrive at the bus stop 6 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed?
Choices:
22 min
15 min
18 min
24 min
Answer: D
Question: A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
Choices:
Rs.2.5
Rs.2.6
Rs.7.5
Rs.3.5
Answer: A
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 30 miles ahead of Joe?
Choices:
150
75
90
105
Answer: A
Question: What is the square root of 81?
Choices:
8
12
9
16
Answer: C
Question: Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many D hours does it currently take Anne to clean the house on her own?
Choices:
7
8
12
14
Answer: C
Question: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 50 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool?
Choices:
1000 min
1300 min
1400 min
1600 min
Answer: A
Question: Sam’s car was fined when he gave Joe and Peter a ride, so they decided to help Sam pay the fine. Joe paid $7 more than 1/4 of the fine and Peter paid $7 less than 1/3 of the fine, leaving pay $12 less than 1/2 the fine to complete the payment. What fraction of the fine did Sam pay?
Choices:
$55
$50
$60
$45
Answer: C
Question: A certain Dark Blue paint contains 40 percent blue pigment and 60 percent red pigment by weight. A certain green paint contains 40 percent blue pigment and 60 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Choices:
4
4.5
3
5
Answer: C
Question: In a sale, a discount of 15% was available on all the articles. If Vinit purchased an article for Rs.4284 in the sale. What was the actual selling price of the article?
Choices:
Rs.5000
Rs.5040
Rs.4950
Rs.4870
Answer: B
Question: A certain protective additive increases from 25 days to 30 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Choices:
20%
50%
66 2/3%
75%
Answer: A
Question: Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 40 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:
B) 3.69
C) 10
D) 15
E) 24
Answer: A
Question: Solution A is 40% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?
Choices:
6:14
4:4
4:6
3:1
Answer: D