antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a certain sequence of 6 numbers, each number after the first is 1 more than the previous number. If the first number is −5, how many of the numbers in the sequence are positive?
Choices:
None
Two
Three
Four
Answer: A
Question: P says to Q "I am thrice as old as you were when i was as old as you are". If the sum of their present age is 100 years, then the present age of Q?
Choices:
36.5
37.5
38.5
39.5
Answer: B
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 15 km/hr. For how many minutes does the bus stop per hour?
Choices:
88
77
20
45
Answer: D
Question: The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
Choices:
5,8
2,3
9,8
9,10
Answer: D
Question: A student got 72% in math and 82% in history. To get an overall average of 75%, how much should the student get in the third subject?
Choices:
71%
73%
75%
77%
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
267
256
298
Answer: A
Question: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choices:
10%
25%
40%
55%
Answer: D
Question: A train consists of 12 boggies, each boggy 15 metres long. The train crosses a telegraph post in 9 seconds. Due to some problem, two boggies were detached. The train now crosses a telegraph post in
Choices:
7.5 sec
15 sec
20 sec
None of these
Answer: A
Question: There are 2 kinds of staff members in a certain company, PART TIME AND FULL TIME. 25 percent of the total members are PART TIME members others are FULL TIME members. The work time of part time members is 3/5 of the full time members. Wage per hour is same. What is the ratio of total wage of part time members to total wage of all members.
Choices:
B.1/5
1/6
1/7
1/8
Answer: B
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choices:
7.9 hrs
7.1 hrs
7.2 hrs
7.8 hrs
Answer: C
Question: How long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length?
Choices:
60sec
82 sec
75 sec
62 sec
Answer: C
Question: In a triangle ABC, AB = 6, BC = 8 and AC = 10. A perpendicular dropped from B, meets the side AC at D. A circle of radius BD (with centre B) is drawn. If the circle cuts AB and BC at P and Q respectively, then AP : QC is equal to
Choices:
3:2
4:1
3:8
2:5
Answer: C
Question: Maddie has 6 apples, if she give 3 to mike, how many does she have left?
Choices:
2
3
4
5
Answer: B
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 20 minutes. If A, B & C are kept open successively for 1.5 minute each, how soon will the tank be filled?
Choices:
4 hours
5 hours
2 hours 15 min
3 hours
Answer: C
Question: If the time is currently 1:30 pm, what time will it be in exactly 644 hours?
Choices:
8:30 am
9:30 am
10:30 am
11:30 am
Answer: B
Question: A no.when divided by 220 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?
Choices:
6
9
11
15
Answer: B
Question: A river 5m deep and 35 m wide is flowing at the rate of 2 kmph, calculate the amount of water that runs into the sea per minute?
Choices:
5832.75
5837.75
5222.75
5835.75
Answer: A
Question: Dawson purchased a house for Rs.78000 and a site for Rs.12000 respectively, if he sold the house for Rs.79000 and the site for Rs.15000, then find the resultant percentage of gain?
Choices:
4.44%
4.45%
4.46%
4.47%
Answer: A
Question: Marketing executives for a certain chewing gum company projected a 25 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 25%. What percent of the projected revenue was the actual revenue ?
Choices:
58%
60%
64%
75%
Answer: B
Question: A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?
Choices:
178
39
27
11
Answer: B
Question: The average of first five multiples of 6 is?
Choices:
18
9
5
7
Answer: A
Question: The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 25th of September 1990?
Choices:
Tuesday
Wednesday
Thursday
Friday
Answer: A
Question: The average marks obtained by 100 candidates in an examination is 50. Find how many candidates have passed in the examination, if the average marks of candidates who passed is 70 and that of failed candidates is 20.
Choices:
75
60
58
65
Answer: B
Question: What is the next number in this sequence:
1, 11, 21, 1211, 111221, 312211, 13112221, _________?
Choices:
1113213211
1113213233
1113213222
1113213255
Answer: A
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Choices:
268
375
367
363
Answer: B
Question: which one is odd?
4377
3954
9865
8454
9831
Choices:
3954
9865
8454
None
Answer: B
Question: Two trains of equal length, running with the speeds of 60 and 40 kmph, take 55 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions?
Choices:
16 sec
13 sec
67 sec
11 sec
Answer: D
Question: Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.15 more than the next one below it in size. What was the cost, in dollars, of the largest pot?
Choices:
$1.75
$2.00
$2.15
$2.30
Answer: A
Question: S is a set of 64 consecutive multiples of 4. If the smallest number in S is 68, then the greatest number in S is
Choices:
297
320
402
405
Answer: B
Question: Ajay buys 6 dozen eggs for Rs 10.80, and 12 eggs are found rotten and the rest are sold at 5 eggs per rupee. Find his percentage gain or loss.
Choices:
11 1/9 % gain
9 1/11 % gain
9 1/11 % loss
None of these
Answer: A
Question: Given that there are 11 cricket players per team, how many ways can you select 3 cricket players from 4 teams if no more than one player can be selected from each team?
Choices:
484
396
656
336
Answer: A
Question: |-5| (|-20|-|4|)= ??
Source: Preparation Material MBA Center
Choices:
64
44
75
100
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150metres
750m
850m
350m
Answer: A
Question: The markup on a television set is 20 percent of the cost. The markup is what percent of the selling price?
(markup = selling price - cost)
Choices:
10%
12 1/2%
15%
16 2/3%
Answer: D
Question: if (log5 5)(log4 9)(log3 2) is equal to
Choices:
-1
3
4
1
Answer: A
Question: A company pays 12.5% dividend to its investors. If an investor buys Rs.40 shares and gets 25% on investment, at what price did the investor buy the shares?
Choices:
20
18
19
01
Answer: A
Question: If a and b are nonzero integers such that 6a = 15b, then each of the following must be true EXCEPT
Choices:
ab is positive.
On the number line, b lies between 0 and a.
The ratio of a to b is equivalent to 10/4.
a – b is positive.
Answer: D
Question: Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm?
Choices:
150 cm2
168 cm2
198 cm2
225 cm2
Answer: D
Question: The simple interest on a sum of money is 4/9 of the principal. Find the rate percentage and time, if both are numerically equal.
Choices:
6 2/3 % and 6 1/3 years
6 2/3 % and 6 2/3 years
6 1/3 % and 6 1/3 years
6 % and 6 2/3 years
Answer: B
Question: A sum of 25 was paid for a work which A can do in 32 days, B in 20 days, B and C in 12 days and D in 24 days.How much did C receive if all the four work together ?
Choices:
16⁄3
15⁄3
17⁄3
None of these
Answer: A
Question: If x^2+(1/x^2)=7, x^4+(1/x^4)=?
Choices:
11
12
14
47
Answer: D
Question: A man can row at 6 kmph in still water. If the velocity of current is 2 kmph and it takes him 2 hour to row to a place and come back, how far is the place?
Choices:
5.33 km
5.63 km
7.33 km
5.93 km
Answer: A
Question: In a soccer bet,we play 4 teams.first team odd 1.30,second 5.23,third 3.25,fourth 2.05.we place the bet with 5.00 euros.
how much money we expect to win?
Choices:
226.49
235.01
266.74
669.0
Answer: A
Question: Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 70. He was allowed to drop his lowest score. After doing so, his average test score improved to 75. What is the lowest test score that was dropped?
Choices:
25
55
65
80
Answer: B
Question: 103,100,97,..,91,88,85
Insert the missing number
Choices:
78
94
98
108
Answer: B
Question: In a series of consecutive numbers, 27 is the eighth smallest number and 20 is the tenth largest number. What is the range of the series?
Choices:
30
28
16
25
Answer: D
Question: The area of a triangle is with base 4m and height 5m?
Choices:
10 m2
66 m2
77 m2
31 m2
Answer: A
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
Choices:
Rs. 400
Rs. 600
Rs. 800
Rs. 850
Answer: A
Question: If the height of an equilateral triangle GBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔGBC is how many times as long as a leg of the right triangle DEF?
Choices:
(√3)/(√2)
√2
(2√2)/(√3)
2/(√3)
Answer: C
Question: An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 7. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?
Choices:
Rs 1200
Rs 1600
Rs 1900
Rs 1700
Answer: A
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:
12798
26908
11750
22073
Answer: C
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1/5
1/3
1/7
1/9
Answer: B
Question: If books bought at prices ranging from Rs. 125 to Rs. 350 are sold at prices ranging from Rs. 170 to Rs 420, what is the greatest possible profit that might be made in selling 12 books ?
Choices:
Rs. 3540
Rs. 3520
Rs. 3200
Rs. 3600
Answer: A
Question: What is the remainder when 12346 is divided by 9?
Choices:
7
5
4
3
Answer: A
Question: A’s speed is 30/17 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that the race ends in a dead heat?
Choices:
13/30
17/30
11/30
11/13
Answer: A
Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is:
Choices:
Rs 300
Rs 400
Rs 500
Rs 600
Answer: B
Question: In a garden, there are four blue flowers, three red flowers, four green flowers, and four pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
Choices:
1/55
31/10
3/55
1/16
Answer: C
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
7
8
6
4
Answer: B
Question: How many different positive integers are factors of 64 ?
Choices:
12
14
16
18
Answer: C
Question: If a fair coin is tossed six times, what is the probability of getting exactly three heads in a row?
Choices:
3/16
1/8
3/8
1/2
Answer: A
Question: At a school, two-fifths of the male students and two-thirds of the female students speak a foreign language. If the number of males is three-fourths the number of females, what fraction of the students speak a foreign language?
Choices:
8/15
18/35
22/35
58/105
Answer: D
Question: There is a building of 100 floors
-If an egg drops from the Nth floor or above it will break.
-If it’s dropped from any floor below, it will not break.
You’re given 2 eggs.
Find N
How many drops you need to make?
Choices:
14
18
25 sec
38
Answer: A
Question: A pipe is 30 m long and is 45% longer than another pipe. Find the length of the other pipe
Choices:
20.68
20.12
20.5
None of these
Answer: A
Question: If 3y + 7 = x^2 + P = 7x + 5, what is the value of P ?
Choices:
8(1/4)
8(1/3)
8(1/5)
None of these
Answer: A
Question: If b is an integer, what is the greatest possible value for b that would still make the following statement true: 11*10^b < 1/10 ?
Choices:
–3
–2
–1
0
Answer: A
Question: Ram singh goes to his office in the city, every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. one day Ramsingh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walk.
Choices:
2/4 hours
3/4 hours
5/4 hours
7/4 hours
Answer: B
Question: By selling an article for 3200, a dealer suffers a loss equal to 1/5 of his investment. Find the cost price. At what price should he had sold it to make a gain of 10% ?
Choices:
Rs. 4000, Rs. 4400
Rs. 4800, Rs. 5280
Rs. 4200, Rs. 5080
None of these
Answer: A
Question: How many words can be formed by using all the letters of the word “DAUGHTR” so that vowels always come together & vowels are never
together?
Choices:
4320
720
4000
700
Answer: A
Question: A and B start from house at 10am. They travel on the MG road at 20kmph and 40 kmph. there is a Junction T on their path. A turns left at T junction at 12:00 noon, B reaches T earlier, and turns right. Both of them continue to travel till 2pm. What is the distance between A and B at 2 pm
Choices:
160km
180km
190km
150km
Answer: A
Question: The average (arithmetic mean) of five numbers is 5. If 2 is subtracted from each of three of the numbers, what is the new average?
Choices:
3.8
4.5
7.5
2.9
Answer: A
Question: Light glows for every 30 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
Choices:
142 times
382 times
392 times
165 times
Answer: D
Question: A military commander has to choose 3 soldiers out of a company of 5 for guarding the headquarters. How many different group combinations of 3 does he have to choose from?
Choices:
15
16
21
10
Answer: D
Question: The Average of 100, 200, 300, 400, ... , 1000 is 550. If each number is divided by 5, then the new average will be equal to
Choices:
45
55
None of these
Cannot be determined
Answer: C
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed musthe travel to reach A at 1 PM?
Choices:
10 kmph
12 kmph
16 kmph
18 kmph
Answer: B
Question: Three runners R, B and C run a race, with runner R finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race?
Choices:
48m
60m
72m
84m
Answer: A
Question: Jake remembers only the last four letters of his five-letter Klingon name. If he is sure that the first letter is neither "N" nor "Z", and assuming that there are only 10 letters in the Klingon alphabet, what is the probability that he will give the correct name when asked for it by the space attendant?
Choices:
B)1/8
C)1/9
D)4/5
E)9/10
Answer: A
Question: Five years ago, John’s age was half of the age he will be in 2 years. How old is he now?
Choices:
12years
16years
17years
18years
Answer: A
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 110 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
Choices:
110 * sqrt 2
110 * sqrt (2^12)
110 * the twelfth root of (2^7)
110 * the seventh root of (2^12)
Answer: A
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
Choices:
528 soldiers
626
657
673
Answer: A
Question: Danny is sitting on a rectangular box. The area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. If the volume of the box is 648, what is the area of the side face of the box?
Choices:
78
84
90
72
Answer: D
Question: If 3x+4y=88 and 3x-4y=14, what is the value of x subs y?
Choices:
25/4
27/4
25/4
19/4
Answer: D
Question: The operation T is defined by x T y=1/x+1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true.
I. z T z/z-1=1
II.x T (-z)=0
III. 2/z T 2/z=z
Choices:
b.) I and II only
c) I and III only
d) II and III only
e) I, II and III only
Answer: B
Question: In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 262 runs?
Choices:
6.22
6.29
5.75
6.13
Answer: C
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
72%
12%
16%
32%
Answer: B
Question: The total of the ages of Amar, Akbar and Anthony is 62 years. What was the total of their ages three years ago ?
Choices:
55 years
74 years
53 years
78 years
Answer: C
Question: What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?
Choices:
100
110
70
None of these
Answer: D
Question: A and B can do a work in 4days, B and C in 5days, C and A in 7days. If A,B and C work together , they will complete the work in?
Choices:
3days
7days
1days
2dasy
Answer: A
Question: What is the greatest possible straight line distance, in inches, between any two points on a rectangular box that is 5 inches wide, 3 inches long, and 4 inches high?
Choices:
5
5√2
10
50
Answer: B
Question: Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 30 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?
Choices:
5
6
12
None of these
Answer: C
Question: Two trains run in opposite directions on a circular track. Train A travels at a rate of 4π miles per hour and Train B runs at a rate of 6π miles per hour. If the track has a radius of 6 miles and the trains both start from Point T at the same time, how long, in hours, after the trains depart will they again meet at Point T?
Choices:
6
9
18
22
Answer: A
Question: Yesterday's closing prices of 1,760 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?
Choices:
960
1,100
1,320
1,694
Answer: A
Question: If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?
i. s=u
ii. u is not equal to v
iii. s > v
Choices:
I only
II only
III only
II and III
Answer: C
Question: For all real numbers v, an operation is defined by the equation v* = v - v/3. If (v*)* = 4, then v=
Choices:
9
12
15
18
Answer: A
Question: Five 6 faced dice are thrown together. The probability that all the three show the same number on them is?
Choices:
1/1296
1/33
1/38
1/34
Answer: A
Question: Which is greatest in 16 ( 2/3) %, 2/5 and 0.17 ?
Choices:
0.17
2/5
all are equal
none
Answer: A
Question: An article is bought for Rs.675 and sold for Rs.800, find the gain percent?
Choices:
28%
18%
22%
13%
Answer: B
Question: The product A of the first 10 prime numbers is closest to which of the following?
Choices:
6.5 x 10^8
6.5 x 10^9
6.5 x 10^10
6.5 x 10^11
Answer: B
Question: If x and y are perfect squares, then which five of the following is not necessarily a perfect square?
Choices:
x^2
4x
x+y
x^5
Answer: A
Question: There are 7 non-collinear points. How many triangles can be drawn by joining these points?
Choices:
27
35
28
11
Answer: B
Question: A train is 435 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Choices:
30 seconds
46 seconds
50 seconds
None of these
Answer: B
Question: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Choices:
10º
5º
20º
30º
Answer: A
Question: Speed of a boat in standing water is 8 kmph and the speed of the stream is 2 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:
51 hours
36 hours
56 hours
None
Answer: C
Question: Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much does she have in her account after two years?
Choices:
$10815.83
$12652.61
$14232.14
$20598.11
Answer: A
Question: If n is an integer, which of the following CANNOT be a factor of 3n+4?
Choices:
5
6
7
8
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 16 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
47.14 cm
84.92 cm
29.85 cm
23.57 cm
Answer: C
Question: n a contest, a bowl contains 10 keys, one of which will open a treasure chest and nine of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that she wins the prize?
Choices:
. 1/9
1/5
19/90
2/9
Answer: B
Question: Special codes are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
Choices:
26(26)^3
27(26)^3
26(26)^4
27(26)^4
Answer: B
Question: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 12 percent of the cost of the tomatoes.
Choices:
$0.96
$0.99
$1.00
$1.20
Answer: B
Question: A bag contains $510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type.
Choices:
300, 200, 600
800, 400, 600
400, 600, 800
600, 700, 900
Answer: C
Question: For all numbers a and b, the operationis defined by ab = (a + 2)(b – 3).
If 3x = –75, then x =
Choices:
–13
-14
-12
15
Answer: C
Question: Find the value of 1/(3+1/(3+1/(3-1/3)))
Choices:
89/27
27/89
1/14
1/56
Answer: B
Question: If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true?
I. y-x is even
II. (z-x)/y is an integer
III. xz is even
Choices:
I only
III only
I and II only
I, II, and III
Answer: A
Question: A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.0
1.2
1.5
1.16
Answer: A
Question: John buys 100 shares of par value Rs. 20 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
Choices:
24
5
6
8
Answer: A
Question: From theinteger n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n*n is even
n is even
n*n is odd
Answer: A
Question: What is the sum of the different positive prime factors of 660?
Choices:
10
15
17
21
Answer: D
Question: For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT
Choices:
38
44
52
63
Answer: A
Question: Of the 65 cars on a car lot, 45 have air-bag, 30 have power windows, and 12 have both air-bag and power windows. How many of the cars on the lot have neither air-bag nor power windows?
Choices:
2
10
15
18
Answer: A
Question: The G.C.D of 1.08, 0.36 and 0.6 is
Choices:
0.1
0.18
0.11
0.12
Answer: D
Question: A person has 100$ in 10$ and 5$ bill.If the 5$ bill quantity is twice that of 10$ bill.What is quantity of 10$.
Choices:
6
7
8
5
Answer: D
Question: A room contains 160 people, 15 percent of whom are women. A group of people, 20 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
Choices:
20
40
60
80
Answer: D
Question: In how many ways Chief Minister and Minister be elected from a team of 12 members?
Choices:
129
132
154
165
Answer: B
Question: In how many ways can a Chief Minister and a Vice Minister be elected from a team of 8 members?
Choices:
40
48
56
64
Answer: C
Question: If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 5 kmph, then the speed of the boat in still water is :
Choices:
3.5 km/hr
5 km/hr
10.5 km/hr
None of these
Answer: A
Question: In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 140800, how many purple chips were selected?
Choices:
2
3
4
5
Answer: B
Question: Two numbers are less than a third number by 30% and 37%. How much percent is the second number is less than the first?
Choices:
10%
20%
25%
30%
Answer: A
Question: A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?
Choices:
120
130
140
150
Answer: D
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
2772
2987
2661
Answer: A
Question: A single discount equivalent to the discount series of 20%, 10% and 8% is?
Choices:
33.8
31.6
31.3
31.1
Answer: A
Question: B completes a work in 6 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
Choices:
3.33 days
5.33 days
6.33 days
7.33 days
Answer: A
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Choices:
299
322
345
365
Answer: B
Question: Which of the following reaches the largest value over the range -1 <= R <= 1?
Choices:
(R+3)/(R^100)
(R+1000)
97^97
(R/2R)
Answer: A
Question: Two circles, one with radius 10 inches and the other with radius 4 inches, are tangent at point A. Two insects start crawling at the same time from point A: one along the larger circle at 3π inches per minute, the other along the smaller circle at 2.5π inches per minute. How much time has elapsed when the two insects meet again at point A?
Choices:
30 minutes
40 minutes
1 hour
1 hour, 20 minutes
Answer: D
Question: In how many ways can 3 postcards can be posted in 5 postboxes?
Choices:
125
296
199
167
Answer: A
Question: Which of the following integers is a divisor of(15!+11)?
Choices:
14
11
7
2
Answer: B
Question: Pipes A and B can fill a tank in 6 and 4 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
3hr
1hr
9/7hr
5/3hr
Answer: A
Question: A number with an interesting property:
When I divide it by 2, the remainder is 1.
When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
When I divide it by 5, the remainder is 4.
When I divide it by 6, the remainder is 5.
When I divide it by 7, the remainder is 6.
When I divide it by 8, the remainder is 7.
When I divide it by 9, the remainder is 8.
When I divide it by 10, the remainder is 9.
It's not a small number, but it's not really big, either.
When I looked for a smaller number with this property I couldn't find one.
Can you find it?
Choices:
2474
2254
2519
8725
Answer: C
Question: In a certain warehouse, 90 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
Choices:
64
168
102
144
Answer: B
Question: Paul and Jack are 2 mechanics who work 8 hours per day changing oil in cars at The Oil Spot. If Paul can change oil in 2 cars per hour, and Jack can change oil in 3 cars per hour. What is the least number of cars per work day the 2 men can finish?
Choices:
40
35
10
90
Answer: A
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the
average marks of all the students is
Choices:
54.68
54.6
54.58
None of these
Answer: A
Question: The total of 324 of 20 paise and 25 paise make a sum of Rs. 70. The no of 20 paise coins is
Choices:
277
220
200
288
Answer: B
Question: In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining sixteen apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. What is the total number of apes?
Choices:
16
64
80
32
Answer: D
Question: Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually.
Choices:
Rs 319
Rs 3109
Rs 109
Rs 209
Answer: B
Question: A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
77
10
27
18
Answer: B
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 300 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
5
24
None of these
Answer: B
Question: The integer x is divisible by both 7 and 21. Which of the following must be an integer?
Choices:
x/34
x/52
x/45
x/21
Answer: D
Question: Tanks A and E are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank E has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank E?
Choices:
80%
100%
120%
125%
Answer: A
Question: 15 years hence, Rohan will be just four times as old as he was 15 years ago.How old is Rohan at present?
Choices:
25
30
35
40
Answer: A
Question: The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
Choices:
30 years
44 years
32 years
None of these
Answer: C
Question: If a car had traveled 30 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 90 km, at what speed did it travel?
Choices:
45 kmh
60 kmh
75 kmh
90 kmh
Answer: B
Question: Find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6.
Choices:
197
207
136
227
Answer: C
Question: The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Choices:
5:12
5:19
5:18
5:14
Answer: D
Question: The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is?
Choices:
27
75
28
21
Answer: B
Question: 3034 - (1002 / 200.4) = ?
Choices:
3029
2982
2981
None of these
Answer: A
Question: After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?
Choices:
1.5
3.0
3.25
4.75
Answer: A
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
Rs.3923
Rs.3972
Rs.3928
Rs.3929
Answer: B
Question: A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Choices:
9801
1987
1900
8373
Answer: C
Question: Find the length of the wire required to go 15 times round a square field containing 69696 m2.
Choices:
15840 m
15820 m
15640 m
16640 m
Answer: A
Question: Ram get 450 marks in his exam which is 90% of total marks. What is the total marks?
Choices:
600
550
500
525
Answer: C
Question: Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that all three will miss?
Choices:
5/8
7/16
9/16
23/32
Answer: A
Question: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
Choices:
40000
50000
60000
None
Answer: B
Question: 7.51 8.22 7.86 8.36
8.09 7.83 8.30 8.01
7.73 8.25 7.96 8.53
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 7.5 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.7 standard deviation of the mean?
Choices:
Six
Nine
Ten
Eleven
Answer: A
Question: If integer k is equal to the sum of all even multiples of 25 between 200 and 600, what is the greatest prime factor of k?
Choices:
7
11
13
17
Answer: C
Question: If José reads at a constant rate of 2 pages every 6 minutes, how many seconds will it take him to read N pages?
Choices:
180
5/2*N
24N
150
Answer: A
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
Choices:
3000
2666
2578
2771
Answer: A
Question: The first three terms of a proportion are 6, 12 and 24. The fourth term is?
Choices:
28
27
36
48
Answer: D
Question: How much time will take for an amount of Rs. 320 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
4 years
3 years
5 years 7 months
5 years
Answer: C
Question: If 2^5, 3^3, and 11^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Choices:
132
42
65
156
Answer: A
Question: Amy has to go to three different stores this week. How many ways can she go to one or more stores today?
Choices:
26
24
9
7
Answer: D
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is A's share?
Choices:
$1600
$2000
$2500
$3000
Answer: C
Question: For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/3, what are the odds of it burning out during the period from 6 months to 1 year following its purchase?
Choices:
2/9
1/3
4/9
2/7
Answer: D
Question: In how many ways can a cricket eleven be chosen out of a batch of 15 players.
Choices:
1365
1245
4512
7841
Answer: A
Question: For how many values n is 2^n = n^2 ?
Choices:
One
Two
Three
More than Three
Answer: C
Question: A money lender finds that due to a fall in the annual rate of interest from 8% to 7 1/2 % his yearly income diminishes by Rs.61.50. his capital is
Choices:
37.78
24.6
278.88
123.0
Answer: D
Question: A train covers a distance of 6 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
Choices:
120m
240m
220m
280m
Answer: A
Question: The average (arithmetic mean) of four numbers is 5x + 9. If one of the numbers is 2x, what is the average of the other three numbers?
Choices:
3x + 3
5x + 1
5x + 4
6x + 12
Answer: D
Question: One fourth of a solution that was 15% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Choices:
24%
22%
19%
8.5%
Answer: C
Question: Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
Choices:
Rs 812
Rs 912
Rs 512
Rs 612
Answer: D
Question: An investor bought a 1-year $6,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
Choices:
$600
$615
$1000
$1230
Answer: B
Question: A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight.
Choices:
20%
37.5%
25%
37.5%
Answer: C
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is?
Choices:
7/15
7/19
7/13
7/11
Answer: A
Question: During 2005, a company produced an average of 2,500 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 300% over its 2005 average?
Choices:
450,000
500,000
525,000
550,000
Answer: A
Question: Yearly subscription to professional magazines cost a company $940.00. To Make a 50% cut in the magazine budget, how much less must be spent?
Choices:
655
656
657
470
Answer: D
Question: The weight of four dogs is determined to be 42 pounds, 38 pounds, 35 pounds and 41 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
Choices:
33
35
37
39
Answer: D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25
77
88
99
Answer: A
Question: A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 3 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Choices:
1:56
1:44
1:54
2:14
Answer: A
Question: Due to construction, the speed limit along an 5-mile section of highway is reduced from 40 miles per hour to 22 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Choices:
B) 8
C) 10
D) 15
E) 6.13
Answer: D
Question: A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
88 Kmph
72 Kmph
55 Kmph
44 Kmph
Answer: B
Question: If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
Choices:
1123
1245
1350
1365
Answer: D
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Choices:
708 apples
720 apples
730 apples
700 apples
Answer: D
Question: A person crosses a 500m long street in 5 minnutes. What is his speed in km per hour?
Choices:
6.01km/hr
9km/hr
2.5km/hr
3km/hr
Answer: A
Question: If 8 workers can build 8 cars in 8 days, then how many days would it take 4 workers to build 4 cars?
Choices:
4
8
12
16
Answer: B
Question: A batsman in his 12th innings makes a score of 92 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
Choices:
43
70
45
46
Answer: B
Question: What is the remainder of G=3^19 when divided by 10?
Choices:
1
5
7
9
Answer: C
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Choices:
1000
2686
1028
1013
Answer: A
Question: Positive integer x has m factors; 3x has 3 factors; Which of the following values can m take?
I. 1
II. 2
III. 3
Choices:
II or III
I or II
I only is true
II only is true
Answer: D
Question: If x/y = 2/5, then (x + y)/(x - y) = ?
Choices:
1/5
-1/6
-1/5
-7/3
Answer: D
Question: The owner of a furniture shop charges his customer 18% more than the cost price. If a customer paid Rs. 6000 for a computer table, then what was the cost price of the computer table?
Choices:
Rs.6298
Rs.6290
Rs.5084
Rs.6708
Answer: C
Question: A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
Choices:
10 p.m
11 p .m
12 p.m
none
Answer: B
Question: If B is the center of the circle in the figure above and the area of the shaded region is 16π, what is the length of arc ADC?
Choices:
4π
16
8π
16
Answer: A
Question: If $50,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Choices:
compounding quarterly
compounding monthly
compounding daily
All four of these would produce the same total
Answer: C
Question: Two trains 137 meters and 163 meters in length are running towards each other on parallel lines, one at the rate of 42 kmph and another at 48 kmpb. In what time will they be clear of each other from the moment they meet
Choices:
10 sec
12 sec
14 sec
16 sec
Answer: B
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 37% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/2
3n/5
5n/6
8n/5
Answer: A
Question: The ages of Smirthi and Samantha vary by 16 years, Six years ago, Deepika’s age was three times as that of Smirthi’s, find their current ages.
Choices:
50
40
30
45
Answer: C
Question: What is the sum of two consecutive even numbers, the difference of whose squares is 84?
Choices:
38
42
46
None
Answer: B
Question: Four friends, Patricia, Melyssa, Tania, and Cassandra, are pooling their money to buy a $1100 item. Patricia has three times as much money as Melyssa. Tania has $20 more than Patricia. Cassandra has 25% more than Tania. If they put all their money together and spend the $1100, they will have $19 left. How much money does Patricia have?
Choices:
$300
$400
$350
$220
Answer: A
Question: If (1/5)^m * (1/4)^3 = 1/(2*(10)^3), then m =
Choices:
3
1
6
8
Answer: A
Question: A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 305 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
Choices:
440
550
625
700
Answer: A
Question: On multiplying a numberZ by 153, the result obtained was 102325. However, it is found that both the 2's are wrong. Find the correct result.
Choices:
107375
108385
109395
105355
Answer: C
Question: 24 lbs of coffee P and 25 lbs of coffee V are mixed to make coffee X and Y. The ratio of P to V in coffee X is 4 to 1, in Y is 1 to 5. How much of P is contained in the mixture X?
Choices:
20
30
40
50
Answer: A
Question: A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 26000, then the share of B is?
Choices:
12000
24005
24009
24002
Answer: A
Question: The average of first five prime numbers greater than 20 is?
Choices:
32.2
30
40
50
Answer: A
Question: 3550 - (1002 / 20.04) = ?
Choices:
2983
3500
2981
None of these
Answer: B
Question: If 5^11 * 4^6 = 2 * 10^n, what is the value of n?
Choices:
11
22
23
32
Answer: A
Question: The banker's discount on a bill due 4 months hence at 15% is Rs.420. The discount is
Choices:
Rs. 400
Rs. 480
Rs.320
None
Answer: A
Question: Which of the following equations represents a line that is perpendicular to the line described by the equation 4x + 3y = 12?
Choices:
3x – 4y = 12
5y – 3x = 6
1.5y + 2x = 8
8x – 6y = 2
Answer: A
Question: Convert 500 miles into meters?
Choices:
845796
804670
784596
864520
Answer: B
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Choices:
5
8
9
11
Answer: B
Question: The average height of 50 pupils in a class is 150 cm. Six of them whose height is 146 cm, leave the class and six others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?
Choices:
151 cm
276 cm
151.2 cm
297 cm
Answer: C
Question: Square A has an area of 121 square centimeters. Square B has a perimeter of 16 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
Choices:
1/5
16/121
105/121
6/25
Answer: C
Question: Speed of a boat in standing water is 9kmph and speed of the stream is 1.5kmph. A man can rows to a place at a distance of 105km and comes back to the starting point. The total time taken by him is?
Choices:
24hours
36hours
10hours
15hours
Answer: A
Question: Simran started a software business by investing Rs. 50,000. After six months, Nanda joined^her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
Choices:
Rs. 10,250
Rs. 12,500
None of these
Data inadequate
Answer: C
Question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
Choices:
20
25
30
35
Answer: A
Question: A thief steals a car at 2.30pm and drives it at 60kmph.the
theft is discovered at 3pm and the owner sets off in another car
at 75kmph when will he overtake the thief
Choices:
5.5 pm
4.9 pm
5 pm
5.2 pm
Answer: C
Question: Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
16537.54
16537.5
16537.52
16537.51
Answer: B
Question: A searchlight on top of the watch-tower makes 3 revolutions per minute. What is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds?
Choices:
1/3
1/2
2/3
3/4
Answer: B
Question: A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
33
37
43
45
Answer: B
Question: A, B and C can do a work in 90, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
Choices:
15 days
16 days
17 days
19 days
Answer: A
Question: The average age of an adult class is 40years. 12new students with an avg age of 32years join the class. Thereforedecreasing the average by 4year. Find what was theoriginal strength of class?
Choices:
12
16
20
22
Answer: A
Question: How many integers from 0 to 59, inclusive, have a remainder of 1 when divided by 3 ?
Choices:
16
17
18
20
Answer: D
Question: Ravi can do a piece of work in 25 days while Prakash can do it in 40 days. In how many days will they finish it together?
Choices:
15 5/13 days
17 1/13 days
17 7/15 days
18 1/13 days
Answer: A