antoine-444/aqua_rat_dataset huggingface dataset:
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 4900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Choices:
280 sq.units
167sq.units
178sq.units
176sq.units
Answer: A
Question: In a Question paper there are 4 subjects. Each subject has has 5 question sets with each subject having one single question set that is the toughest of all. What is the total number of ways in which a candidate will not get all the four toughest question sets?
Choices:
85
120
624
1024
Answer: C
Question: A card is randomly drawn from a deck of 52 cards. What is the probability getting an Ace or King or Queen?
Choices:
9/13
3/13
4/13
5/13
Answer: B
Question: Integer x is equal to the product of all even numbers from 2 to 60, inclusive. If E 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: In a certain population, there are 6 times as many people aged twenty-one or under as there are people over twenty-one. The ratio of those twenty-one or under to the total population is
Choices:
1 to 3
1 to 4
2 to 3
6 to 7
Answer: D
Question: What percent of 5.2 kg is 16 gms ?
Choices:
30
58
29
17
Answer: A
Question: On rainy mornings, Mo drinks exactly N cups of hot chocolate (assume that N is an integer). On mornings that are not rainy, Mo drinks exactly 4 cups of tea. Last week Mo drank a total of 26 cups of tea and hot chocolate together. If during that week Mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Choices:
2
4
5
6
Answer: A
Question: For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.21000, my total savings for the two-year is
Choices:
Rs. 8900
Rs. 9000
Rs. 9600
Rs. 10000
Answer: D
Question: Carl can wash all the windows of his house in 7 hours. His wife Maggie can wash all the windows in 4 hours. How many hours will it take for both of them working together to wash all the windows?
Choices:
2 1/4
11 6/2
4 1/2
5
Answer: B
Question: If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to decreased by 10 percent, how much would she earn per week?
Choices:
Rs.325
Rs.352
Rs.315
Rs.425
Answer: C
Question: Three numbers are in the ratio 3:5:7. The largest number value is 70. Find difference between Smallest & largest number is?
Choices:
40
35
30
50
Answer: A
Question: 106 Ã— 106 + 94 Ã— 94 = ?
Choices:
20072
10072
20172
10272
Answer: A
Question: A train 110 m long is running with a speed of 40 km/h. In how many seconds will the train pass a man who is running at 4 km/h in the direction opposite to that in which the train is going?
Choices:
7
8
9
10
Answer: C
Question: A certain bag contains 100 balls â€” 50 white, 30 green, 8 yellow, 9 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Choices:
0.75
0.6
0.88
0.5
Answer: C
Question: An assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whole time?
Choices:
69
70
71
72
Answer: D
Question: A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
52 Kmph
60 Kmph
76 Kmph
80 Kmph
Answer: B
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
Choices:
34%
42%
44%
54%
Answer: C
Question: What is the greatest prime factor of 4^17 - 2^30?
Choices:
3
5
7
11
Answer: B
Question: Pipe A can fill a tank in 10 hrs and pipe B can fill it in 8 hrs. If both the pipes are opened in the empty tank.There is an outlet pipe in 3/4 th of the tank. In how many hours will it be fill 3/4th of that tank?
Choices:
3.10hr
3.15 hr
3.20 hr
3.30 hr
Answer: C
Question: If a farmer wants to plough a farm field on time, he must plough 160 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially?
Choices:
490
448
435
679
Answer: B
Question: A man has Rs. 176 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Choices:
33
75
90
95
Answer: A
Question: The number 0.8 is how much greater than 1/2 ?
Choices:
3/10
1/50
1/500
2/500
Answer: A
Question: Find the value of x in each of the following equation:	[(17.28/x) / (3.6*0.2)] = 2
Choices:
12
16
18
20
Answer: A
Question: Which of these lines in the xy-plane does not contain any point with two negative coordinates?
Choices:
y = x + 6
y = x^2 - 5
y = x^3 + 3x
y = 2x^4
Answer: D
Question: During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 180 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
Choices:
320
360
420
480
Answer: D
Question: Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After three rounds of this activity, what is the maximum amount of money that any one man could receive?
Choices:
$4
$10
$15
$16
Answer: A
Question: Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 3?
Choices:
2/7
33/83
51/250
100/249
Answer: C
Question: What is x if x + 2y = 20 and y = 5?
Choices:
A)10
C)6
D)4
E)2
Answer: A
Question: If the price of a certain bond on May 1st was 1/2 the price of the bond on June 1st and the price of the bond on July 1st was 50% greater than the price of the bond on May 1st. then the price of the bond on June 1st st was what percent of the average (arithmetic mean) price of the bond on May 1st and July 1st?
Choices:
75%
120%
133 1/3%
160%
Answer: D
Question: If x dollars is invested at 12.5 percent for one year and y dollars is invested at 9.5 percent for one year, the annual income from the 12.5 percent investment will exceed the annual income from the 8 percent investment by $60. If $2500 is the total amount invested, how much is invested at 9.5 percent?
Choices:
b. $1231.57
c. $1101.52
d. $1147.72
e. $1352.27
Answer: C
Question: If the average (arithmetic mean) of a and b is 45 and the average of b and c is 80, what is the value of c − a?
Choices:
60
90
140
It cannot be determined from the information given.
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 2% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:11
5:2
5:8
5:2
Answer: A
Question: If y/x is an integer, which of the following must also be an integer?
I. xy
II. x/y
III. x
Choices:
II alone
None of the above
I and III
III alone
Answer: B
Question: Evaluate permutation
7P7
Choices:
5020
5030
5040
None of these
Answer: C
Question: The difference between a two-digit number and the number obtained by interchanging the digit is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?
Choices:
8
6
5
2
Answer: A
Question: In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 77 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp?
Choices:
550
150
35
350
Answer: A
Question: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?
--
Choices:
19
60
180
720
Answer: C
Question: In a certain code VOLITION is written as UMIEUKRR, MARTINET is written as LYOPJPMX. How is DESTROYS written in this code?
Choices:
CCPPSQBW
CCPPSQBV
CCPPSQBX
CCPPSQBZ
Answer: A
Question: A manufacturer is using glass as the surface for the multi-touch screen of its smartphone. The glass on the manufactured phone has a 6% probability of not passing quality control tests. The quality control manager bundles the smartphone in groups of 10. If that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected.
What is the probability that a smartphone bundle that will be rejected by quality control?
Choices:
.05^10
1-0.94^10
1-0.05^10
0.95^10
Answer: B
Question: If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of is :
Choices:
3 M^2
3 M^6
3 M^1
3 M^7
Answer: A
Question: Two pipes can fill a tank in 5 hours and 10 hours. While the 3rd pipe empties the full tank in 10hours. If all the 3 pipes are open in how much time will the tank be filled?
Choices:
8hr
2hr
1hr
5hr
Answer: D
Question: There are 5 candidates in an election and 3 of them are tobe elected. A voter can cast any number of votes but notmore than three. The number of ways in which he can cast his vote is
Choices:
15
20
25
30
Answer: C
Question: If $30,000 interest is invested in x percent simple annual interest for n years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the n years?
Choices:
30,000n(x/100)
10,000(1 + x/100)^n
30,000(x/100)^n
10,000n(1 + x/100)
Answer: A
Question: Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
Choices:
6 min
9 min
10 min
11 min
Answer: A
Question: If a = (1/6)b and c = 7a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
Choices:
(11/3)a
(13/3)a
(4 1/7)a
(7 1/4)a
Answer: B
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190
130
120
140
Answer: A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Choices:
23/35
23/33
23/31
23/32
Answer: A
Question: Sophia finished 2/3 of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Choices:
270
130
90
210
Answer: A
Question: In a division, divident is 689, divisior is 36 and quotient is 19. Find the remainder.
Choices:
3
2
5
6
Answer: C
Question: The pages of a report are numbered consecutively from 1 to 13. If the sum of the page numbers up to and including page number x of the report is equal to one less than the sum of the page numbers following page number x, then x =
Choices:
6
7
8
9
Answer: D
Question: A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 5 days. B can do the work alone in?
Choices:
12
11
30
114
Answer: C
Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4.25 million from its orange exports, how much money does it generate from its yearly total of exports?
Choices:
$25.5m
$106.25m
$127.5m
$153m
Answer: C
Question: A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
Choices:
13
19
10
None
Answer: C
Question: Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got?
Choices:
56%
57%
58%
59%
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 m
200 m
300 m
None of these
Answer: A
Question: Distances from you to Man united is written below.
CHELSEA and ARSENAL are 700 kms away
SPURS 1800 kms away
WOLVES 200 kms away
Based on the system , How far should it be to MANCITY ?
Choices:
3100 miles.
2100 miles.
5100 miles.
4100 miles.
Answer: B
Question: Amar takes as much time in running 18 meters as a car takes in covering 12 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Choices:
2400 m
300 m
4300 m
1200 m
Answer: A
Question: The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 40 terms of this sequence?
Choices:
(1+1/2) – 1/42
(1+1/2) – 1/40
(1+1/2) – (1/41 +1/ 42)
(1/41 +1/ 42)
Answer: C
Question: A train 120 meters long passes an electric pole in 12 seconds and another train of same length traveling in opposite direction in 8 seconds. The speed of the second train is
Choices:
66 Km
72 Km
62 Km
70 Km
Answer: B
Question: Jack and Jill work at a hospital with 3 other workers. For an internal review, 2 of the 5 workers will be randomly chosen to be interviewed. What is the probability that Jack and Jill will both be chosen?
Choices:
1/10
1/15
3/8
2/3
Answer: A
Question: The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years?
Choices:
2:3
3:5
5:6
5:7
Answer: B
Question: A 300 m long train crosses a platform in 36 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
277 m
278 m
300 m
Answer: D
Question: Albert borrowed a total of $ 6000 from Brian and Milton. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1494 as total interest. What is the interest paid to Brian at the end of three years?
Choices:
481
471
441
445
Answer: C
Question: Find the average of first 5000 natural numbers?
Choices:
2500.5
2145.5
2005.5
2560
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 five years back was?
Choices:
12 years
14 years
16 years
18 years
Answer: B
Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
627
153
721
159
Answer: B
Question: 8, 12, 18, 27, 40.5, (...)
Choices:
60.75
58
89
88
Answer: A
Question: If x≠4 and (x^2 - 16)/(2y) = (x - 4)/4, then in terms of y, x = ?
Choices:
(y - 8)/2
y - 3
y - 6
(y + 6)/2
Answer: A
Question: Rectangular tile each of size 50cm by 40cm must be laid horizontally on a rectangular floor of size 120cm by 150cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
9
12
11
10
Answer: A
Question: Total of the ages of A, B and C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present
Choices:
25
15
27
30
Answer: D
Question: A salt manufacturing company produced a total of 5000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its average monthly production for that year?
Choices:
2765
5550
2989
9772
Answer: B
Question: In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals: I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II, and 20% favoured proposal III. If 5% of those asked favoured all three of the proposals, what percentage Q of those asked favoured more than one of the 3 proposals.
Choices:
12
17
22
30
Answer: B
Question: The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8339 for a computer table, then what was the cost price of the computer table?
Choices:
Rs. 5275
Rs. 6275
Rs. 6725
None of these
Answer: C
Question: A river 2m deep and 45 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is?
Choices:
4580 M3
9000 M3
4900 M3
4700 M3
Answer: B
Question: The present ratio of students to teachers at a certain school is 45 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
Choices:
4
10
12
15
Answer: A
Question: If log 27 = 1.431, then the value of log 9 is :
Choices:
0.945
0.954
0.958
None of these
Answer: B
Question: Ram purchased a TV and a DVD Player for Rs. 25000 and Rs. 5000 respectively. He sold the DVD Player at a loss of 4 percent and TV at a profit of 10 percent. Overall he make a.?
Choices:
2500
2800
2300
2000
Answer: C
Question: A = 10% of x, B = 10% of y, C = 10% of x + 10% of y. On the basis of the above equalities, what is true in the following?
Choices:
A is greater than B
B is greater than A
Relation cannot be established between A and B
None of these
Answer: C
Question: A class consists of 6 boys and 4 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
Choices:
18
32
60
42
Answer: D
Question: If after 100 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
Choices:
200 grams
250 grams
350 grams
400 grams
Answer: A
Question: In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
Choices:
127.5
127.9
127.8
127.4
Answer: A
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Choices:
87 ways
30 ways
28 ways
82 ways
Answer: B
Question: X completes a work in 12 days and Y complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be ?
Choices:
10 days
12 days
20 days
40 days
Answer: A
Question: How many possible integer values are there for x if |7x - 3| < 6 ?
Choices:
Two
Three
Four
Five
Answer: A
Question: A alone can complete a work in 16 days and B alone can do in 12 days. StarƟng with A, they work on
alternate days. The total work will be completed in
Choices:
1312
1334
1344
None of these
Answer: B
Question: A Jar of marble contains 6 yellow and 4 blue marbles, and no other marbles. If four are pulled out of the jar, one after the other, without being replaced, what is the probability that exactly two of the four marbles will be yellow and two blue.
A
B
C
D 9
Choices:
1/7
1/6
3/7
9/11
Answer: C
Question: You collect baseball cards. Suppose you start out with 15. Maria takes half of one more than the number of baseball cards you have. Since you're nice, you give Peter 1 baseball card. Since his father makes baseball cards, Paul decides to triple your baseball cards. How many baseball cards do you have at the end?
Choices:
18
19
20
21
Answer: A
Question: A tank contains 10,000 gallons of a solution that is 3 percent sodium chloride by volume. If 4,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
5%
6.25%
6.67%
11.7%
Answer: A
Question: In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction T of all babies born who were NOT part of a set of twins or triplets?
Choices:
(2x+3y)/z
(x+y)/z
1 - (2x+3y)/z
1 - (x+y)/z
Answer: C
Question: Each writer for the local newspaper is paid as follows: a dollars for each of the first s stories each month, and a + b dollars for each story thereafter, where a > b. How many more dollars will a writer who submits s+ a stories in a month earn than a writer who submits s+ b stories?
Choices:
a – b
a^2 – b^2
s( a – b)
as + bs – as
Answer: B
Question: In a race of 600 metres, A can beat B by 60 metres and in a race of 500 metres, B can beat C by 50 metres. By how many metres will A beat C in a race of 400 metres?
Choices:
76 metres
70 metres
84 metres
None
Answer: A
Question: What is the rate percent when the simple interest on Rs.720 amount to Rs.180 in 4 Years?
Choices:
6.25
8.25
9.25
10.25
Answer: A
Question: In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Choices:
48
64
76
88
Answer: B
Question: Given: b2 = ac and ax=by=cz.
Determine the value of y.
Choices:
2xz/(x+z)
3xz/(x+z)
7xz/(x+z)
5xz/(x+z)
Answer: A
Question: A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
Choices:
51
13
15
17
Answer: C
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.10000?
Choices:
3310
2779
2672
2782
Answer: A
Question: If the average of 6x and 8y is greater than 100, and x is twice y, what is the least integer value of x ?
Choices:
20
21
23
24
Answer: A
Question: What is the greatest value of positive integer x such that 2^x is a factor of 100^40?
Choices:
80
95
105
110
Answer: A
Question: The area of an equilateral triangle is subtracted from its base, and the perimeter is then added to this total, the result is 4. What is the height of the equilateral triangle if its base is 2?
Choices:
3
4
5
6
Answer: B
Question: At noon, ship A is 100km west of ship B. Ship A is sailing east at 35 km/hr and ship B is sailing north at 25km/hr. How fast is the distance between the ships changing at 4.00pm.
Choices:
36.21 km/hr.
37.21 km/hr.
39.21 km/hr.
32.21 km/hr.
Answer: A
Question: A boy wants to go abroad by boat and return by flight. He has a choice of 3 different boat to go and 4 flight to return. In how many ways, can the boy perform his journey?
Choices:
40
18
12
16
Answer: C
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock
Choices:
76
28
66
11
Answer: C
Question: What should be the least number to be added to the 2496 number to make it divisible by 5?
Choices:
17
18
4
26
Answer: C
Question: In a simultaneous throw of pair of dice .find the probability of getting the total more than 7
Choices:
5/7
11/7
8/9
5/12
Answer: D
Question: The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a ?
Choices:
Rs. 22.50
Rs. 25
Rs. 42.75
None
Answer: A
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $396 per week. How much does she earn in dollars per hour?
Choices:
11
9
8
7
Answer: A
Question: A girl has exactly 6 quarters, 7 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
Choices:
2
3
4
5
Answer: B
Question: What comes next in the series?
16 72 38 94 50 __
Choices:
25
17
19
sixteen 16
Answer: D
Question: A customer purchased a package of ground beef at a cost of $1.96 per pound. For the same amount of money, the customer could have purchased a piece of steak that weighed 30 percent less than the package of ground beef. What was the cost per pound of the steak?
Choices:
$4.10
$3.60
$3.20
$2.80
Answer: D
Question: A division of a company consists of three men and seven women. If two of these ten employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
7/45
11/30
7/30
7/15
Answer: D
Question: A room 11 m 47 cm long and 7m 77 cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Choices:
640
647
651
675
Answer: C
Question: The area of the floor of a room is 20 m2 that of a longer wall 15 m2 and of the shorter wall 12 m2, find the edge of the new cube?
Choices:
60 m^3
70 m^3
80 m^3
100 m^3
Answer: A
Question: If 192 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is :
Choices:
14
20
18
32
Answer: D
Question: A 300 m long train crosses a platform in 48 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
500
828
277
122
Answer: A
Question: A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint T, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Choices:
2 1/2
3
3 1/2
4
Answer: A
Question: A man can row upstream at 25 kmph and downstream at 45 kmph, and then find the speed of the man in still water?
Choices:
86
35
78
38
Answer: B
Question: A mixture contains alcohol and water in the ratio 2:5. If 10liters of water is added to the mixture, the ratio becomes 2:7. Find the quality of alcohol in the given mixture.
Choices:
10
15
20
25
Answer: A
Question: A person crosses a 650 m long street in 5 minutes. What is his speed in km per hour?
Choices:
8.2 km/hr.
7.8 km/hr.
3.2 km/hr.
4.2 km/hr.
Answer: B
Question: A train is 360 meter long is running at a speed of 72 km/hour. In what time will it pass a bridge of 140 meter length?
Choices:
38 seconds
40 seconds
25 seconds
19 seconds
Answer: C
Question: What is the product of all the prime factors of 16?
Choices:
18
9
6
2
Answer: C
Question: The surface of a cube is 24sq cm. Find its volume?
Choices:
8
7
3
1
Answer: A
Question: Laura can paint 1/x of a certain room in 20 minutes. What fraction E of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
Choices:
3x/(x-3)
(x – 3)/(3x)
x/(x-3)
(x-3)/x
Answer: B
Question: A dog taken four every five leaps of hare but three leaps of the dog is equal to four leaps of the hare. Compare speed?
Choices:
16:15
18:15
19:15
15:19
Answer: A
Question: If x > 1, which of the following decreases as x decreases?
I.1/( x + x^2)
II. 1/(2x^2 − x)
III. (x + 1)
Choices:
II only
III only
I and II only
II and III only
Answer: B
Question: Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer Q between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Choices:
Q=15
Q=17
Q.18
Q=20
Answer: C
Question: A man sells a horse for Rs.620 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:
299
740
860
771
Answer: B
Question: Logan buys 100 shares of par value Rs. 30 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
Choices:
4
5
36
8
Answer: C
Question: A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Choices:
33 8/3 %
33 1/3 %
33 1/8 %
37 1/3 %
Answer: B
Question: In a race, the speeds of A and B are in the ratio 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
Choices:
2 hr
1.5 hr
2.5 hr
3 hr
Answer: A
Question: From the sale of sleeping bags, a retailer made a gross profit of 15% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?
Choices:
3.36
24.34
25.0
31.36
Answer: B
Question: A wildlife preserve is being planned for 4,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
Choices:
450
320
310
300
Answer: A
Question: How many cubes of 10cm edge can be put in a cubical box of 1m edge
Choices:
2888
1000
2877
3778
Answer: B
Question: In a group of 26 junior high school students, 7 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
Choices:
6
5
4
8
Answer: B
Question: If 9a - b = 10b + 65 = -12b - 2a, what is the value of 11a + 11b?
Choices:
-5
0
5
11
Answer: B
Question: A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Choices:
18 hours
20 hours
25 hours
35 hours
Answer: D
Question: 17 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Choices:
184
240
272
306
Answer: C
Question: A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course:
Choices:
7.5 min
1.5 min
9.5 min
4.5 min
Answer: A
Question: A graph may be defined as a set of points connected by lines called edges. Every edge connects a pair of points. Thus, a triangle is a graph of 3 edges and 3 points. The degree of a point is the number of edges connected to it. For, example, a triangle is a graph with 3 points of degree 2 each. Consider a graph with 12 points. It is possible to reach any point from any through sequence of edges. The number of edges 'e' in the graph must satisfy the condition
Choices:
11 ≤ e ≤ 66
11 ≤ e ≤ 65
0 ≤ e ≤ 11
None of these
Answer: A
Question: Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 2 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same daily rate, what was Anthony paid in advance, in terms of y?
Choices:
4y
5y
6y
13y
Answer: D
Question: At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 350-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $200?
Choices:
2,900
2,108
2,124
2,256
Answer: A
Question: A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?
Choices:
14
12
10
11
Answer: C
Question: A batsman makes a score of 100 runs in the 17th inning and thus increases his averages by 5. What is his average after 17th inning?
Choices:
35
20
40.5
41.5
Answer: B
Question: The average age of a husband, wife and their child 12 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?
Choices:
5.25 years
16 years
15 years
4.75 years
Answer: D
Question: Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 2107 miles?
Choices:
One hour and 10 minutes.
Two hours and 25 minutes.
Three hours and 5 minutes.
Four hours and 20 minutes.
Answer: C
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
Choices:
2/47
3/8
12/455
1/28
Answer: C
Question: If the difference between compound interest(interest compounded yearly) and simple interest on a sum for 3 years at 20% p.a. is Rs.132, then the sum is
Choices:
Rs.1500
Rs.2500
Rs.3000
None
Answer: D
Question: The product of the prime numbers between 0 and 20 is closest to...
Choices:
10^6
10^7
10^8
10^9
Answer: B
Question: Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
Choices:
16
27
187
11
Answer: A
Question: A single discount equivalent to the discount series of 25%, 10% and 5% is?
Choices:
31.8
31.6
31.3
35.9
Answer: D
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $900. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 10% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Choices:
b $115
c $187.5
d $130.5
e $135.5
Answer: B
Question: Anil invested a capital of Rs.5000 and Sunil invested Rs.10000. Anil invested for a time period which is double than the time period for which Sushil invested. How will a profit of Rs.4000 be divided between them?
Choices:
3000,1000
2500,1500
2000,2000
3000,2000
Answer: C
Question: A train passes a station platform in 32 seconds and a man standing on the platform in 12 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?
Choices:
360
380
400
420
Answer: C
Question: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days?
Choices:
5/18
1/4
1/9
2/6
Answer: A
Question: In store A there are 20 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?
Choices:
2:3.
1:3.
3:4.
2:5.
Answer: A
Question: Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 15 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Choices:
60
26
23
12
Answer: A
Question: The cost of an item was reduced from its usual selling price of $23.99 to $17.99. Which of the following is closest to the percent decrease in the price of the item?
Choices:
21%
24%
25%
42%
Answer: C
Question: In a bag,there are coins of 25 p,10 p and 5 p in the ratio of 1 : 2 : 3.If there are Rs.30 in all,how many 5 p coins are there ?
Choices:
100
150
200
250
Answer: B
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 5% chemical X and 95% chemical Y, then what percentage of the resulting mixture is chemical X?
Choices:
24%
28%
30%
32%
Answer: A
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.575 in all. Find the share of B?
Choices:
120
218
140
145
Answer: A
Question: How many liters of water must be added to 18 liters of milk and water containing 10% water to make it 40% water?
Choices:
7
8
9
10
Answer: C
Question: In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Kiran and he thinks that Kiran's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Kiran?
Choices:
69 kg
61 kg
67 kg
65 kg
Answer: C
Question: The average of six numbers is 3.75. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Choices:
4.6
4.0
4.1
4.9
Answer: B
Question: A committee of 5 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?
Choices:
3/28
60/14
4/28
3/14
Answer: B
Question: A batsman scored 100 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
Choices:
40 %
45(5/11) %
44(5/11) %
None of these
Answer: A
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start at same point at 10:30 am. They shall first cross each other at ?
Choices:
7:30 am
10: 42 am
7:50 am
7:60 am
Answer: B
Question: Maria bought 10 notebooks and 5 pens costing 2 dollars each.How much did Maria pay?
Choices:
$20
$30
$40
$50
Answer: B
Question: If x = 3d, where d is a prime number greater than 2, how many different positive even divisors does x have, including x?
Choices:
0
2
3
It cannot be determined from the information given
Answer: A
Question: Elizabeth can get a certain job done in 15 days, and Tony can finish only 75% of that job within the same time. Tony worked alone for several days and then Elizabeth joined him, so they finished the rest of the job in 6 days, working together.
For how many days have each of them worked and what percentage of the job have each of them completed?
Choices:
6 days and 30%
6 days and 40%
7 days and 40%
7 days and 30%
Answer: B
Question: How many different positive integers are factors of 36 ?
Choices:
6
7
9
11
Answer: C
Question: What is the maximum number of pieces that a circular pizza can be cut into with 6 linear cuts?
Choices:
13
16
20
22
Answer: D
Question: A departmental store charges the commission of 18 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?
Choices:
$365,000
$115,000
$200,000
$160,000
Answer: C
Question: Five times a number equals one hundred. The number is
Choices:
10
15
25
20
Answer: D
Question: Fill in the missing number:
18 14 ? 11 10.5 10.25
Choices:
12
10.2
10.5
10.3
Answer: A
Question: P, Q and R can do a piece of work in 20, 30 and 60 days respectively. In how many days can P do the work if he is assisted by Q and R on every third day?
Choices:
15 DAYS
10 DAYS
18 DAYS
20 DAYS
Answer: A
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 30. Which of the following integers is the higher of the remaining two integers?
Choices:
86
44
22
87
Answer: D
Question: A train 300 m long passed a pole in 14 sec. How long will it take to pass a platform 540 m long?
Choices:
59 sec
40 sec
45 sec
46 sec
Answer: B
Question: Which is greater than 99?
Choices:
99
9.9
999
909
Answer: C
Question: The least common multiple of positive integer q and 3-digit integer n is 690. If n is not divisible by 3 and q is not divisible by 2, what is the value of n?
Choices:
230
460
575
690
Answer: A
Question: Find the value of 72516 x 9999 = m?
Choices:
246465757
465767867
725087484
645354643
Answer: C
Question: A rectangular rug with side lengths of 4 feet and 6 feet is placed on a square floor that has an area of 64 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
Choices:
1/4
C.1/2
5/8
7/8
Answer: C
Question: There are 10 reading spots in a room. Each reading spot has a round table. Each round table has 4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons inside the room then how many reading spots donot have atleast a single reader.
Choices:
6
8
9
7
Answer: A
Question: A fruit seller sells 8 oranges at a cost price of 9. The profit percent is
Choices:
12 1⁄2
5 15⁄17
8 2⁄3
None of these
Answer: A
Question: The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
Choices:
49
53
54
51
Answer: D
Question: By selling an article at Rs.300, a profit of 25% is made. Find its cost price?
Choices:
s.455
s.240
s.480
s.489
Answer: B
Question: A and B start a business with Rs.5000 and Rs.15000 respectively. How should they share their profits at the end of one year?
Choices:
1:3
2:5
3:7
2:1
Answer: A
Question: P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is P's share?
Choices:
126
134
144
None of these
Answer: A
Question: Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is
Choices:
4,00,000 kg
4,50,000 kg
None of these
Cannot be determined
Answer: A
Question: 3 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
Choices:
12
15
16
17
Answer: B
Question: If the largest three digit number is subtracted from the smallest five digit number, then the remainder is
Choices:
9001
90001
9009
NOne
Answer: A
Question: The average weight of a group of boys is 30 kg. After a boy of weight 39 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
8
5
2
9
Answer: A
Question: P is a prime number. If 6p is between 15 and 95, which of the following T can be a value of 7p + 2?
Choices:
T=79
121
65
21
Answer: A
Question: The average (arithmetic mean) of four numbers is 5x + 6. If one of the numbers is 2x, what is the average of the other three numbers?
Choices:
3x + 3
5x + 1
5x + 4
6x + 8
Answer: D
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3.Find his average after 17th inning?
Choices:
29
39
49
59
Answer: B
Question: Pat's watch gains an extra 10 seconds every 2 hours. Kim's watch loses 6 seconds every 3 hours. If both watches are set to correct time at 8 o'clock in the morning and run without interruption, after 48 hours, what will be the difference in time between Pat's watch and Kim's watch?
Choices:
4 min 36 sec
5 min 36 sec
6 min 36 sec
5 min 36 sec
Answer: D
Question: A runs 25% faster than B and is able to allow B a lead of 7 meters to end a race in dead heat. What is the length of the race?
Choices:
25 meters
45 meters
15 meters
35 meters
Answer: D
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 2 more than the average expenditure of all the nine. The total money spent by all of them was
Choices:
40
29.25
27
None of the above
Answer: B
Question: If x^2 + 1/x^2 = √20 what is the value of x^4 + 1/x^4 ?
Choices:
12
14
16
18
Answer: D
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.89
2.834
2.81
Answer: A
Question: The population of a town is 45000; 5/9th of them are males and the rest females 40% of the males are married. What is the percentage of married females?
Choices:
50%
57%
10%
80%
Answer: A
Question: Halle, Julia and Drew have 5 donuts to share. If one of them can be given any whole number of donuts from 0 to 5, in how many different ways can the donuts be distributed.
Choices:
21
22
23
24
Answer: A
Question: If 21 WOMen and 12 men can finish the work in 42 days.How many men should accompany 42 women to that the work will be completed in ten and half days???
Choices:
45
50
60
15
Answer: D
Question: In expressing a length 810472 km as nearly as possible with three significant digits, find the percentage error.
Choices:
0.034
0.352
0.063
0.026
Answer: A
Question: If there are eight varieties of ice cream to be tasted and judged in a competition, what is the probability that black currant is tasted before Vanilla and Vanilla is tasted before chocolate, although not necessarily consecutively?
Choices:
3!/8!
5!/8!
1/3!
1/2!
Answer: C
Question: A picnic attracts 200 persons. There are 20 more men than women, and 20 more adults than children. How many men are at this picnic?
Choices:
65
110
130
200
Answer: A
Question: The cross-section of a cannel is a trapezium in shape. If the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross-section is 10290 sq m, the depth of cannel is?
Choices:
258
262
264
266
Answer: A
Question: How many four-digit numbers that do not contain the digits 2, 3, 4, or 6 are there?
Choices:
1080
2096
3040
4200
Answer: A
Question: The owner of a furniture shop charges his customer 10% more than the cost price. If a customer paid Rs. 8800 for a computer table, then what was the cost price of the computer table?
Choices:
2699
2670
6725
8000
Answer: D
Question: John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
Choices:
3 1/5 Km
3 3/5 Km
3 5/7 Km
4 1/5 Km
Answer: A
Question: Calculate the average of first 16 even numbers is?
Choices:
15
12
17
11
Answer: C
Question: A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?
Choices:
15:8
27:8
8:9
8:15
Answer: B
Question: A paper is in a square form whose one side is 20 cm. Two semi circles are drawn on its opposites as diameters. If these semi circles are cut down what is the area of the remaining paper?
Choices:
8.77
8.75
8.72
8.723
Answer: B
Question: A train 660 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Choices:
640
500
297
435
Answer: A
Question: Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Choices:
60
27
21
19
Answer: A
Question: If ten persons sit in a row, then the probability that three particular persons are always together is?
Choices:
1/4
1/9
1/6
1/15
Answer: D
Question: "A" and "B" run around a circular track starting from the same point simultaneously in the same direction. "A" meets "B" for the first time when "A" is exactly in the middle of his 5th round. If "A" is faster than "B" and take 70 seconds to complete 1 lap, how long will B take to complete 1 lap?
Choices:
90 seconds
110 seconds
63 seconds
77 seconds
Answer: A
Question: a man can row 16 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
Choices:
8 km/hr.
9 km/hr.
15 km/hr.
11 km/hr.
Answer: A
Question: If 7a = 2b = 15, then 42ab =
Choices:
125
675
1100
1250
Answer: B
Question: 6,9,15,27,51, (...)
Choices:
86
12
99
64
Answer: C