antoine-444/aqua_rat_dataset huggingface dataset:
Question: Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
Choices:
Rs.28,020
Rs.28,298
Rs.28,000
Rs.28,022
Answer: C
Question: The profit obtained by selling an article for Rs. 54 is the same as the loss obtained by selling it for Rs. 40. What is the cost price of the article?
Choices:
Rs. 50
Rs. 49
Rs. 59
Rs.47
Answer: D
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is
Choices:
1764
1600
1354
None of these
Answer: A
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
112
500
167
123
Answer: B
Question: A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
21
7
8
9
Answer: A
Question: Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 50 percent. At the same time, it decreased its total working hours by 0 percent. By what percent did this factory increase its output per hour?
Choices:
130
150
155
160
Answer: B
Question: Insert the missing number.
3, 9, 6, 6, 9, 3, 12, 0, 15, (....)
Choices:
7
-3
8
-45
Answer: B
Question: The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 50 per cent. The two reductions together are equal to a single reduction of
Choices:
62.5%
35%
32.5%
30%
Answer: A
Question: A certain city with a population of 180,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Choices:
b) 15,000
c) 10,900
d) 11,000
e) 11,100
Answer: A
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 24 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Choices:
5
2
3
None of these
Answer: A
Question: In 1990 a total of u earthquakes occurred worldwide, some but not all of which occurred in Asia. If v o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Choices:
v/u
v/(u-v)
u/(u-v)
1- (v/u)
Answer: B
Question: Hannah and Jake race around a running track. Hannah runs at a constant rate of one lap every 2 minutes and Jake runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Hannah to get exactly one lap ahead of Jake?
Choices:
5/3
7/3
10/3
10/7
Answer: C
Question: Three friends A, B and C decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 4 time, no apples were left.How many apples were there?
Choices:
4096
4000
4090
4095
Answer: D
Question: A car covers a distance of 829 km in 7 hours. Find its speed?
Choices:
289 kmph
118 kmph
277 kmph
177 kmph
Answer: B
Question: A 24 month project had a total budget of $44,400. After seventeen months, the project had spent $29,375. At this point, how much was the project under budget?
Choices:
$1925
$2000
$2075
$2150
Answer: C
Question: The average of 13 numbers is 17.8. If the average of the first seven numbers is 17.6 and that of the last seven numbers is 17.4,then the middle number is?
Choices:
11.9
12.2
13.6
12.7
Answer: C
Question: If $500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
Choices:
500 (3+1.056)
500 (1+3(0.056))
500 (1.056)^3
500 (1+(0.056)^3)
Answer: C
Question: 20% of incoming freshman at a certain university have taken a calculus course. Among the incoming freshman who have not taken a calculus course, 148 have taken a pre-calculus course and 44 havent taken a precalculus couse. how many incoming freshman are there in the university?
Choices:
120
180
240
300
Answer: C
Question: 6 friends go out to dinner at Outback Steakhouse. The total of their meal comes to 118.60 without a tip. They decide to leave a 20% tip to the waitress. They want to split the costs if the bill including the tip evenly among them. How much does each person have to pay if the bill is split evenly?
Choices:
71.16
18.6
23.72
42.32
Answer: C
Question: How many words can be formed by using all letters of the word “BIHAR”
Choices:
175
120
132
451
Answer: B
Question: A number x is multiplied by 5, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
Choices:
9/5
5/3
3/5
9/25
Answer: B
Question: The average earning of a mechanic for the first 4days of a week is Rs.18 and for the last four days is Rs.22. If he earns Rs.20 on the fourth day, his average earning forthe whole week is?
Choices:
Rs. 20
Rs. 30
Rs. 40
Rs. 50
Answer: A
Question: Jar A has 26% more marbles than Jar B . What percent of marbles from Jar A need to be moved into Jar B so that both jars have equal marbles?
Choices:
8.3%
9.6%
10.3%
11.5%
Answer: C
Question: Mary’s father is four times as old as Mary. Five years ago he was seven times as old. How old is mary?
Choices:
8
10
12
15
Answer: B
Question: 9log9(5) = ?
Choices:
2
3
5
8
Answer: C
Question: The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.10 in 1970 was 150 percent of its price in 1960, what was its price in 1980?
Choices:
a) $ 1.65
c) $ 2.40
d) $ 2.70
e) $ 3.00
Answer: A
Question: There are 10 oranges on a table, and a pair of oranges is to be selected. At most, how many different pairs are possible?
Choices:
90
50
45
25
Answer: C
Question: Tary spent 2⁄5 of her money on new clothes and then deposited 1⁄2 of what remained into her savings account. If she then had $21 left, how much did she have at the start?
Choices:
$35
$70
$105
$210
Answer: B
Question: John deposited $10,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?
Choices:
$10,609
$10,209
$10,601
$10,404
Answer: A
Question: 10 men,working 6 hours a day can complete a work in 18 days.How many hours a day must 15 men work to complete the same work in 12 days ?
Choices:
6
8
9
10
Answer: A
Question: How many positive 5-digit integers have the odd sum B of their digits?
Choices:
9*10^3
10^4
45*10^3
9*10^4
Answer: C
Question: In the above number, A and B represent the tens and units digits, respectively. If the above number is divisible by 15, what is the greatest possible value of B x A?
Choices:
15
25
30
35
Answer: D
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Choices:
108
1266
188
211
Answer: A
Question: How many 5-digit positive integers are there, where each digit is positive, and no two adjacent digits are same?
Choices:
3024
4096
4608
36864
Answer: D
Question: What is the product of all the possible values of x if x^2 - 2x - 8?
Choices:
–12
-8
29
168
Answer: B
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hrs and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 12 hours, how many machines of type R were used?
Choices:
1
6
9
12
Answer: A
Question: A dress on sale in a shop is marked at $X. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on thediscounted price. If a staff member buysthe dress what will she have to pay in terms of X?
Choices:
0.667X
0.765X
0.905X
1.234X
Answer: B
Question: A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 300. Find the total worth of the stock?
Choices:
20000
20289
20027
15000
Answer: D
Question: A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
111.12 meters
112.12 meters
113.12 meters
115.12 meters
Answer: A
Question: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
Choices:
240 mts
260 mts
250 mts
230 mts
Answer: A
Question: A futsal team that must consists of 5 players is to be formed from a pool of 7 players. How many different teams are possible?
Choices:
8
12
20
21
Answer: D
Question: A baker charges M dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?
Choices:
4
6
8
10
Answer: C
Question: In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 2:5, If Rs 15,000 was their profit, how much amount did B receive.
Choices:
6895
4879
8126
6250
Answer: D
Question: You need to pick any number from '1, 3, 5, 7, 9, 11, 13 and 15' to make below equation true.
( ) + ( ) + ( ) = 30
Can you solve it ?
Choices:
30
31
32
33
Answer: A
Question: If there are thrice as many women as men in a group and an equal number of men and women do not own cars - a group that is 30% of the total. What fraction of the total is men who own cars?
Choices:
11⁄60
9⁄40
1⁄10
11⁄20
Answer: C
Question: A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20 days. In what time can A and B together it?
Choices:
13 1/3 days
17 1/3 days
16 1/2 days
17 days
Answer: A
Question: The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km?
Choices:
1500
1240
1630
1400
Answer: D
Question: If |x| = 5x - 3, then x = ?
Choices:
1/2
2
-1/2
-1
Answer: B
Question: A sum of money place at compound interest doubles itself in 7 years. In how many years will it amount to eight times itself?
Choices:
11 years
12 years
18 years
21 years
Answer: D
Question: A FIVE DIGIT NUMBER IS FORMED BY USING THE DIGITS 1,2,3,4,5 WITH OUT REPETITIONS . WHAT IS THE PROBABILITY THE NUMBER IS DIVISIBLE BY5?
Choices:
12/15
4/5
7/3
2/7
Answer: A
Question: 40 is subtracted from 60% of a number, the result is 50. Find the number?
Choices:
150
266
288
271
Answer: A
Question: Kid have 8 black balls and 8white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate?
Choices:
2×(8!)
2×(8!)^2
2^2
3×(6!)^2
Answer: B
Question: The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 6. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?
Choices:
9
10
11
12
Answer: C
Question: What sum of money put at C.I amounts in 2 years to Rs.8820 and in 3 years to Rs.9261?
Choices:
8000
2877
2678
1011
Answer: A
Question: According to a recent student poll, 4/5 out of 25 members of the finance club are interested in a career in investment banking. If two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Choices:
29/30
2/7
45/49
13/14
Answer: A
Question: A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
A. 63 B. 28?
Choices:
28
16
19
10
Answer: A
Question: Which of the following could be the value of x, if |6x – 14| = 2x+2?
Choices:
–4
1
2/3
4
Answer: D
Question: 3034 - (1002 / 20.04) = ?
Choices:
2984
2982
2981
None of these
Answer: A
Question: Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of 2.5 meters per second and Jerry is running 36% slower, how much time Q will it take them to meet if the initial distance between the two is 50 meters and Tom started running 20 seconds before Jerry did?
Choices:
two minutes.
44 seconds.
20 seconds.
12 seconds.
Answer: C
Question: The average of eight numbers is 27. If one number is excluded, the average becomes 25. The excluded number is
Choices:
27
30
35
41
Answer: D
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
6 hours
3 hours
9 hours
2 hours
Answer: B
Question: A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Choices:
1500
2878
299
277
Answer: A
Question: For every positive integer n, the nth term of a sequence is the total sum of three consecutive integers starting at n. What is the total sum of terms 1 through 100 of this series?
Choices:
12,720
13,260
14,580
15,450
Answer: D
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 54 kmph, find the speed of the stream?
Choices:
18
14
12
17
Answer: A
Question: An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum number of marks obtained by him is?
Choices:
400
298
2798
271
Answer: A
Question: Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 9.5 km apart, if they walk in the same direction?
Choices:
19 hrs
15 hrs
17 hrs
None
Answer: A
Question: Raju age after 23 years will be 5 times his age 5 years back, What is the present age of Raju
Choices:
11 years
13 years
12 years
14 years
Answer: C
Question: Shop Offered 40% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
Choices:
550
600
933
750
Answer: C
Question: A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
Choices:
1:00pm, 200km
2:00pm, 200 km
2:00pm, 220 km
None of these
Answer: B
Question: If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Choices:
4 days
6 days
7 days
none
Answer: A
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
Choices:
neither profit nor loss
7%
6%
9%
Answer: A
Question: A Deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the deer?
Choices:
3 min
1 hr
1 min
2 min
Answer: C
Question: Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Choices:
4 pm.
6 pm.
7 pm.
8 pm.
Answer: B
Question: The quarter of the time from midnight to present time added to the half of the time from the present to midnight gives the present time. What is the present time?
Choices:
9 hr 36 min
9 hr 46 min
8 hr 36 min
9 hr 56 min
Answer: A
Question: Of 70 players on a football team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
Choices:
59
63
71
92
Answer: A
Question: . There are 8 men and 10 women and you need to form a committee of 5 men and 6 women. In how many ways can the committee be formed?
Choices:
11
11760
11640
None of these
Answer: B
Question: Out of 7 people working on a project, 3 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?
Choices:
21/25
23/30
31/35
37/40
Answer: C
Question: Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Choices:
88
27
20
98
Answer: C
Question: The number of n satisfying -n+2≥0 and 2n≤5 is
Choices:
1
2
3
None of the above
Answer: D
Question: A tradesman by means of his false balance defrauds to the extent of 10%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
21%
44%
16%
47%
Answer: A
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
Choices:
0 sq m
2 sq m
8sq m
4sq m
Answer: A
Question: A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
Choices:
Rs.40
Rs.44
Rs.42
Rs.43
Answer: B
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Choices:
10
15
20
None of them
Answer: C
Question: A six-sided die is rolled once. What is the probability that the number rolled is an odd number greater than 2?
Choices:
2 / 6
3 / 3
4 / 5
2 / 4
Answer: A
Question: What is the principal sum?
I. The sum amounts to Rs. 780 at a rate of 8% p.a. at S.I.
II. The sum amounts to Rs. 1000 in 5 years at S.I.
III. The rate of interest is 8% p.a.
Choices:
II and III only
I and II only
Any two of the three
None of these
Answer: A
Question: X can do 1/4 of a work in 10 days, Y can do 40% of work in 40 days and Z can do 1/3 of work in 13 days. Who will complete the work first?
Choices:
F
X
Z
W
Answer: C
Question: How many different arrangements of A, B, C, D, and E are possible where A is adjacent to neither B nor D?
Choices:
60
48
36
17
Answer: C
Question: A boy asked a girl her name she replied your name is behind your scooty Behind the scooty is written 7.3 3.3 9.3 2.3 What is her name
Choices:
RIAF
RIAG
RIBF
SIAF
Answer: A
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
Choices:
79.9
79.5
79.2
79.1
Answer: C
Question: A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the direction opposite to that in which the train is going ?
Choices:
18sec
36sec
72sec
None
Answer: B
Question: In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Choices:
83.93%
83.73%
83.23%
83.33%
Answer: D
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
Choices:
4
6
8
12
Answer: A
Question: How many ways are there to split a group of 10 students into two groups of 5 students each? (The order of the groups does not matter)
Choices:
126
148
172
216
Answer: A
Question: In how many different number of ways 5 boys and 2 girls can sit on a shopa which can accommodate 5 persons?
Choices:
2500
2000
2100
None
Answer: D
Question: In a graduating class, 40 percent of the students are male. In this class, 40 percent of the male students and 30 percent of the female students are 25 years old or older. If one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Choices:
0.66
0.78
0.84
0.9
Answer: A
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
4M
9M
2M
6M
Answer: C
Question: How many seconds will a 400 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30 sec
24 sec
19 sec
11 sec
Answer: B
Question: In 2008, the profits of Company N were 8 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 15 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
150%
120%
124.2%
138%
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
178 m
197 m
150 m
167 m
Answer: C
Question: How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
Choices:
100
132
503
50
Answer: A
Question: The sum of the present age of Henry and Jill is 43. What is their present ages if 5 years ago Henry was twice the age of Jill?
Choices:
and 27
and 22
and 29
of these
Answer: A
Question: Diana can buy watches at a price of M dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of T by selling N watches, then in terms of M and T and N, what is the percent of the markup from her buy price to her sell price?
Choices:
NMT/100
N-M/100T
100T/(NM)
NM/100T
Answer: C
Question: The ratio of the arithmetic mean of two numbers to one of the numbers is 4:6. What is the ratio of the smaller number to the larger number?
Choices:
1:4
1:3
1:2
2:3
Answer: B
Question: If a student loses 5 kilograms, he will weigh twice as much as his sister. Together they now weigh 110 kilograms. What is the student's present weight in kilograms?
Choices:
72
73
74
75
Answer: D
Question: The Simple Interest on Rs. 7300 from 11 May, 1987 to 10 September 1987 ( Both day Include ) at 5% per annum is :
Choices:
123
125
128
130
Answer: A
Question: The average age of an adult class is 40years. 10new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Choices:
10
15
17
18
Answer: A
Question: The length of minute hand of a clock is 5.2 cm. What is the area covered by this in 10 minutes
Choices:
14.15
17.27
18.27
19.27
Answer: A
Question: A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choices:
37
30
27
18
Answer: B
Question: Excluding stoppages,the speed of the bus is 54kmph and
including stoppages,it is 45kmph.for how many min does the bus
stop per hr
Choices:
11 min
13 min
19 min
17 min
Answer: D
Question: if a@b = a * b^(1/3) then 2@8 = ?
self made
Choices:
6
3
8
4
Answer: D
Question: Sundar and Raju together can do a piece of work in 8 days. If Sundar alone can do the same work in 12 days, then Raju alone can do the same work in?
Choices:
22 days
24 days
26 days
28 days
Answer: B
Question: Jamal had a bag of marbles. He had 12 yellow, 10 blue, 5 green and 1 black marbles. He decided to randomly select a ball from the bag. What is the proabilitly that he will draw a black marble?
Choices:
1/28
12/28
28/1
582/695
Answer: A
Question: Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in
Choices:
48 days
32 days
24 days
28 days
Answer: A
Question: What is the 32nd word of "WAITING" in a dictionary?
Choices:
AGNTWI
AIGNWT
AGNTIWI
None of these
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 32%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
74.24%
84.6%
24.89%
45%
Answer: A
Question: Four of the following five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Choices:
xy2(1 – 2x) + x2y(2y – 1)
xy2(1 + x) – x2y(1 – y)
xy[y(1 + x) – x(1 – y)]
xy(y – x + 2xy)
Answer: A
Question: The area of square ABCD above is 24. The shaded region is the intersection of the square and a circular region centered at C. What is the area of the shaded region?
Choices:
24−9/2∗π
19+9/4∗π
24−6∗π
9/2−9/4∗π
Answer: C
Question: If an integer n is to be chosen at random from the integers 1 to 92, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?
Choices:
3/8
1/2
29/46
3/4
Answer: C
Question: √[200√[200√[200……..∞]]] = ?
Choices:
200
1
20
2
Answer: A
Question: Donovan and Michael are racing around a circular 400-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 36 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time?
Choices:
7
6
5
9
Answer: C
Question: If x/(9p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Choices:
33
44
66
99
Answer: B
Question: If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
Choices:
3/20 and 1/5
1/5 and 1/4
1/4 and 3/10
3/13 and 1/2
Answer: D
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Choices:
4
6
7
8
Answer: A
Question: Find the sum of prime numbers lying between 58 and 74?
Choices:
201
252
331
None
Answer: C
Question: 45 liters of mixture is created by mixing Liquid A and Liquid B in the ratio 3:2. How much more Liquid B must be added to make the ratio 9:11?
Choices:
10 Litres
12 Litres
15 Lt
16 Litres
Answer: C
Question: During a recent track meet, Peter ran x meters of the 100 meter dash in 7 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
Choices:
7zx
7z/x
7/xz
xz/7
Answer: B
Question: How many seconds will a train 250 meters long take to cross a platform 200 meters long if the speed of the train is 90 kmph?
Choices:
18 sec
21 sec
16 sec
20 sec
Answer: A
Question: If n=10^100and n^n=10k what is the value of k?
Choices:
10^100
10^102
100^100
1000^10
Answer: B
Question: In a class of 140 students, 60% of them passed. By what percent is the number of students who passed more than the number of failed students?
Choices:
20%
40%
50%
None of these
Answer: C
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 back. How far is the place?
Choices:
2.88
2.2
2.12
2.14
Answer: A
Question: Approximately how many revolutions will be made by a car tire with a 15-inch diameter if the car travels 1⁄2 mile?
Choices:
669
360
720
1,440
Answer: A
Question: How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once?
Choices:
24
None of these
120
247
Answer: C
Question: If X,Y is 26%,30% smaller than Z then how much percentage is Y greater than X?
Choices:
5 15/37 %
13 1/2%
14%
15%
Answer: A
Question: A can do 50% more work as B can do in the same time. B alone can do a piece of work in 20 hours. A, with help of B, can finish the same work in how many hours ?
Choices:
8
13 1⁄3
51⁄2
None of these
Answer: A
Question: When a number is divided by 31, the remainder is 29. When the same number is divided by 16, what will be the remainder?
Choices:
13
15
Data inadequate
none of these
Answer: C
Question: Speed of a boat in standing water is 8 kmph and the speed of the stream is 6 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is:
Choices:
120 hours
160 hours
480 hours
None
Answer: A
Question: SCORE INTERVAL----------------NUMBER OF SCORES
50-59-------------------------- 2
60-69--------------------------10
70-79--------------------------16
80-89--------------------------10
90-99--------------------------18
The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 28 scores?
Choices:
28th(50-79)
32
34
36
Answer: A
Question: Light glows for every 18 seconds . How many times did it between 1:57:58 and 3:20:47 am
Choices:
277
283
384
385
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1344?
Choices:
1200
2889
27670
2771
Answer: A
Question: If the average marks of two sections of 40 and 45 students respectively is 75 and 60, then the average marks of all the students is:
Choices:
67.05
75
None of these
Cannot be determined
Answer: A
Question: A rectangular field has a length 10 meters more than it is width. If the area of the field is 231, what is the length (in meters) of the rectangular field?
Choices:
21
25
27
29
Answer: A
Question: A manufacturing plant produces 2 products (hats and gloves). 25% of all products are colored red, the remaining products are colored blue. If the ratio of products made is 3:4, respectively, and the percentage of hats colored red is 55%, what percentage of gloves are colored blue?
Choices:
90.5%
97.5%
55.5%
96%
Answer: B
Question: Let a, b, c, d and e be distinct integers such that (6-a)(6-b)(6-c)(6-d)(6-e) = 45. What is a+b+c+d+e?
Choices:
17
25
27
30
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
2.9
2.1
2.2
Answer: A
Question: Lisa plays a dice game in which she rolls two, fair, six-sided dice two times. If her second roll matches her first roll, she wins. What is the probability that she wins if her first roll was 10?
Choices:
5/36
1/9
1/12
1/18
Answer: C
Question: Car A leaves the airport at 9:00 am and travels at a constant rate of 30 km per hour. Car B leaves the airport at 9:30 am and travels in the same direction along the same highway at a constant rate of 35 km per hour. At what time will Car B be 20 km ahead of Car A?
Choices:
4:30 pm
5:00 pm
5:30 pm
6:00 pm
Answer: A
Question: A single letter is drawn at random from the word."ASPIRATION", the probability that it is a vowel is?
Choices:
1/2
1/4
1/5
1/6
Answer: A
Question: If a 4-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible?
Choices:
18
20
126
216
Answer: C
Question: There are 408 boys and 264 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Choices:
28
35
30
45
Answer: A
Question: A 5 litre jug contains 4 litres of a salt water solution that is 15 percent salt. If 1.5 litres of the solution spills out of the jug, and the jug is then filled to capacity with water,approximately what percent of the resulting solution in the jug is salt?
Choices:
7.5%
9.5%
10.5%
11.5%
Answer: A
Question: Diya finished 2/3 of a book. She calculated that she finished 70 more pages than she has yet to read. How long is her book?
Choices:
A)210
C)130
D)90
E)280
Answer: A
Question: Four cups of water are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of water should be poured into the 4-cup bottle?
Choices:
8/3
5/2
7/3
3
Answer: A
Question: A lion chases a pony 7 hours after the pony runs. lion takes 8 hours to reach the pony. If the average speed of the lion is 49 kmph, what s the average speed of the pony?
Choices:
29.8kmph
28.4kmph
29.5kmph
29.4kmph
Answer: D
Question: Of the 5 numbers, whose average is 200, the first is one-fourth of the sum of the last 4. The first number is?
Choices:
200
78.63
56.98
67.85
Answer: A
Question: P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?
Choices:
5
6
7
8
Answer: B
Question: A boat has to travel upstream 20 km distance from point X of a river to point Y. The total time taken by boat in travelling from point X to Y and Y to X is 41 minutes 40 seconds. What is the speed of the boat?
Choices:
72 km/hr
48 km/hr
Data inadequate
None of these
Answer: C
Question: In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital?
Choices:
28882
27789
11750
28978
Answer: C
Question: The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 24 years. What is the age of the new member ?
Choices:
21 years
22 years
34 years
24 years
Answer: C
Question: The residents of the town O participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town O, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?
Choices:
- 20
- 18
- 12
- 6
Answer: D
Question: What percent of a day is 20 hours?
Choices:
16Ã—1/2%
18Ã—2/3%
22Ã—1/2%
None
Answer: D
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 5:7 then find the largest number?
Choices:
40
42
44
46
Answer: A
Question: how many such letters pairs are in word SERVANT having same no. of letters left between them in the word as they have in the series
Choices:
2
3
4
5
Answer: A
Question: A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 105 km downstream.
Choices:
5 hours
6 hours
7 hours
8 hours
Answer: A
Question: The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
Choices:
Rs.10528
Rs.10560
Rs.10512
Rs.11292
Answer: B
Question: On 7th Nov, 2003 Friday falls. What day of the week was it on 7th Nov, 2002?
Choices:
Wednesday
Thursday
Friday
Saturday
Answer: B
Question: If x = 3 - t and y = 4t + 13, then for what value of t are x and y equal?
Choices:
-2
-(1/2)
-(1/4)
None of these
Answer: A
Question: Each of the integers from 1 to 16 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?
Choices:
9
11
10
3
Answer: A
Question: Which of the following is the Highest Common Factor of 25, 40 and 20?
Choices:
5
6
14
12
Answer: A
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?
Choices:
240
279
270
272
Answer: A
Question: Daniel went to a shop and bought things worth Rs. 50, out of which 90 Paise went on sales tax on taxable purchases. If the tax rate was 15%, then what was the cost of the tax free items?
Choices:
B)20
C)43.1
D)21.5
E)22
Answer: B
Question: Look at this series: 0.15, 0.3, ____, 1.2, 2.4, ... What number should fill the blank?
Choices:
0.2
0.4
0.1
0.6
Answer: D
Question: The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Choices:
18 cm
20 cm
21 cm
22 cm
Answer: A
Question: An empty fuel tank is filled with brand Z gasoline. When the tank is 1/4 empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent of the gasoline in the tank is brand Z?
Choices:
31.25%
40%
50%
45%
Answer: A
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 40 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: B
Question: A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 40-sided polygon have?
Choices:
740
1425
2025
2500
Answer: A
Question: The bankers discount of a certain sum of money is Rs. 18 and the true discount on the same sum for the same time is Rs. 15. The sum due is:
Choices:
90
91
92
93
Answer: A
Question: A 2member committee comprising of one male & one female member is to be constitute out of 5 males and 3females. Among st the females. Ms.A refuses to be a member of the committee in which Mr.B is taken as the member. In how many different ways can the committee be constituted ?
Choices:
14
16
18
19
Answer: A
Question: Machine A and machine B process the same work at different rates. Machine C processes work as fast as Machines A and B combined. Machine D processes work three times as fast as Machine C; Machine D’s work rate is also exactly four times Machine B’s rate. Assume all four machines work at fixed unchanging rates. If Machine A works alone on a job, it takes 6 hours and 20 minutes. If all four machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
Choices:
17
19
21
24
Answer: B
Question: At what percent age above the C.P. must an article be marked so as to gain 33% after allowing a customer a discount of 5%?
Choices:
15%
20%
25%
40%
Answer: D
Question: A student has to obtain 40% of the total marks to pass. He got 150 marks and failed by 50 marks. The maximum marks are?
Choices:
500
400
575
610
Answer: A
Question: In x-y plane, there is a right triangle ABC (∠B=90o). If the length of AC is 225 and the slope of line segment AC is 4/3, what is the length of AB?
Choices:
180
24
28
40
Answer: A
Question: In what ratio should a 20% methyl alcohol solution be mixed with a 50% methyl alcohol solution so that the resultant solution has 40% methyl alcohol in it?
Choices:
1 : 2
1 : 3
3 : 1
2 : 3
Answer: A
Question: A call center has two teams. Each member of Team A was able to process 7/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Choices:
3/4
8/15
1/2
1/5
Answer: B
Question: Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Choices:
Rs.548
Rs.527
Rs.540
Rs.522
Answer: C
Question: A man goes downstream at 13 kmph, and upstream8 kmph. The speed of the stream is
Choices:
4kmph
16kmph
2.5kmph
26kmph
Answer: C
Question: A student committee on academic integrity has 72 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there?
Choices:
8
9
10
11
Answer: B
Question: If x is equal to the sum of the integers from 20 to 30, inclusive, and y is the number of EVEN integers from 20 to 30, inclusive, what is the value of x+y ?
Choices:
281
361
461
561
Answer: A
Question: Pipes P and Q can fill a tank in 10 and 20 hours respectively. Pipe Q can empty it in 24 hours. If all the three pipes are opened together, then the tank will be filled in what time?
Choices:
5 2/7
5 6/7
9 3/13
3
Answer: C
Question: All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 156 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A?
Choices:
1248
1129
2613
1372
Answer: A
Question: When working alone, painter W can paint a room in 2 hours, and working alone, painter X can paint the same room in a hours. When the two painters work together and independently, they can paint the room in 3/4 of an hour. What is the value of a?
Choices:
1[1/5]
1[2/5]
1[3/4]
2
Answer: A
Question: A case contains c cartons. Each carton contains b boxes, and each box contains 400 paper clips. How many paper clips are contained in 2 cases?
Choices:
400b/c
800bc
800b/c
800/bc
Answer: B
Question: Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.
Choices:
1:2
1:4
1:5
None of these
Answer: A
Question: Two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction. What time will they take to be 20 km apart?
Choices:
10
14
15
20
Answer: A
Question: If the average of r, b, c, 14 and 15 is 12. What is the average value of r, b, c and 29
Choices:
13
14
15
16
Answer: C
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
18:5
17:9
17:1
17:3
Answer: D
Question: A man bought some apples of which 13% of then were rotten. He sold 75% of the balance and was left with 261 apples. How many apples did he have originally?
Choices:
1100
1200
1300
1400
Answer: B
Question: Two isosceles Triangles have equal vertical angles and their areas are in the ratio 16:49. Find the ratio of their corresponding heights .
Choices:
5/4
3/2
4/7
2/3
Answer: C
Question: 13 Examiners check 650 abswer books in 5 days working 4 hours daily. How many more Examiners are required to check 7200 answer books in 12 days working 3 hours daily
Choices:
68
67
47
57
Answer: B
Question: Mantu starts a month with provisions expected to last for the entire month. After few days, it is discovered that the provisions will, in fact short by 12 days and it is calculated that if the stock of provisions left is immediately tripled, it will be possible to exactly make up for the shortfall. If the stock of provisions left is doubled instead of being tripled, and simultaneously the strength of the Mantu is decreased by 25, then the provisions will fall short by :-
Choices:
2 days
3 days
4 days
None of these
Answer: A
Question: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ?
Choices:
6 kmph
7.5 kmph
5.5 kmph
6.5 kmph
Answer: A
Question: A train passes a station platform in 46 sec and a man standing on the platform in 16 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240
460
450
455
Answer: C
Question: A dealer originally bought 80 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?
Choices:
3q/160
120q
q/80
120/q
Answer: A
Question: Two persons A and B can complete a piece of work in 15 days and 30 days respectively. If they work together, what part of the work will be completed in 5 days?
Choices:
1/3
1/6
1/2
5/3
Answer: C
Question: The cost of 4 bags and 12 purses is Rs.2800, what is the cost of 10 bags and 30 purses?
Choices:
Rs.7000
Rs.3800
Rs.7900
None of these
Answer: A
Question: Find the principle on a certain sum of money at 6% per annum for 2 2/5 years if the amount being Rs.1120?
Choices:
979
2778
2682
1021
Answer: A
Question: The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and David have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Choices:
$0.40
$0.45
$0.48
$0.54
Answer: A
Question: If a man crosses a 700 m long street in 5 minutes. What is his speed?
Choices:
7.1 km/hr
7.2 km/hr
8 km/hr
8.4 km/hr
Answer: D
Question: Population is 24000. Population increases by 10% every year, then the population after 3 years is?
Choices:
26640
36644
31944
26844
Answer: C
Question: Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
Choices:
188
120
982
129
Answer: B
Question: Using all the letters of the word "THURSDAY", how many different words can be formed?
Choices:
8!
9
3
4
Answer: A
Question: How many multiples of 3 are there between 15 and 246 ?
Choices:
94
89
76
60
Answer: C
Question: Tom opened a shop investing Rs.3000. Jose joined him 2 months later, investing Rs.4500. They earned a profit of Rs.6300 after completion of one year. What will be Jose's share of profit?
Choices:
3500
3251
4251
3508
Answer: A
Question: x, a, z, and b are single digit positive integers. x = 1/5 a. z = 1/5 b. (10a + b) – (10x + z) could NOT equal
Choices:
33
44
64
56
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?
Choices:
2768
15000
76887
16711
Answer: B
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choices:
240
66
528
22
Answer: A
Question: What is the sum of this series?
1, 3, 5, 7, 9, ...... 77.
Choices:
1555
1777
1444
1333
Answer: C
Question: A box has 10 black and 10 white balls. What is the probability of getting two balls of the same color?
Choices:
9/19
9/12
9/11
9/13
Answer: A
Question: The G.C.D. of 1.08, 0.32 and 0.9 is:
Choices:
0.02
0.18
0.108
None
Answer: A
Question: If 225/999=0.225, what is the 81st digit to the right of the decimal point in the decimal equivalent of the fraction?
Choices:
8
7
6
5
Answer: D
Question: List L: ABC, BCA, CAB
In list L above, there are 2 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Choices:
114
152
161
488
Answer: C
Question: In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.3 times as old as Robert?
Choices:
1965
1970
1975
2040
Answer: D
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, x
Choices:
31
23
43
53
Answer: C
Question: How many 4-digit numbers are completely divisible by 7?
Choices:
1286
1178
1224
None
Answer: A
Question: A certain club has 10 members, including Rarry. One of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Rarry will be either the member chose to be secretary or the member chose to be treasurer?
Choices:
1/80
1/10
1/9
1/5
Answer: D
Question: If a and b are positive integers and (2^a)^b = 2^7, what is the value of 2^a*2^b?
Choices:
32
64
256
128
Answer: C
Question: The average temperature of the first three days is 27∘C and that of the next three days is 29∘C. If the average of the whole week is 28.5∘C, the temperature of the last day of the week is :
Choices:
21∘C
31.5∘C
42∘C
None
Answer: B
Question: If x and y are integer, which of the following must also be an integer?
I. xy
II. y/x
III. x
Choices:
II alone
III alone
I and III
None of the above
Answer: C
Question: As x increases from 121 to 122, which of the following increases? I) x−1/x II) 17−1/x III) (17+x)/x
Choices:
I,II only
II only
III only
II,III only
Answer: A