antoine-444/aqua_rat_dataset huggingface dataset:
Question: A box contains four cents, of which two centss have heads on both their faces, one cent has tail on both its faces and the fourth cent is a normal one. A cent is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the cent tossed is also a head.
Choices:
4/5
2/5
3/4
1/2
Answer: A
Question: In an election between two candidates first candidate got 60% of votes polled and second Candidate got 270 votes. The total number of votes polled was
Choices:
votes
votes
votes
votes
Answer: A
Question: The probability of a team winning a match given Matt is playing the match is 0.7. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
A)0.848
C)0.8571
D)0.7531
E)0.8213
Answer: A
Question: Jayant gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 30 sums and obtains 40 marks. The number of sums attempted correctly is
Choices:
20
26
27
28
Answer: A
Question: The largest 4 digit number exactly divisible by 66 is?
Choices:
9939
9944
9966
9960
Answer: C
Question: If a function f is defined by f(x)= 3/(x-1) for all non zero numbers x. If f(a) = 3 and f(ab) = 9 then b= ?
Choices:
1/3
-1/2
-1/3
-2
Answer: A
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
2100
1950
2500
Answer: A
Question: If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12)+11 is
Choices:
11
13
17
211
Answer: D
Question: From a seven-member dance group, three will be chosen at random to volunteer at a youth dance event. If Kori and Jason are two of the seven members, what is the probability that both will be chosen to volunteer?
Choices:
a) 1/42
c) 4/21
d) 2/7
e) 3/7
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:
200
265
2987
212
Answer: A
Question: A small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices:
1250
1300
1600
1750
Answer: D
Question: A pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both thecards being queen?
Choices:
2/115
1/221
2/215
1/265
Answer: B
Question: By selling 99 pens, a trader gains the cost of 66 pens. Find his gain percentage?
Choices:
66 7/3%
66 1/8%
66 2/3%
66 1/5%
Answer: C
Question: In the xy-plane, line q passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line q?
Choices:
3x+2y-5=0
2x-3y-12=0
2x+3y=0
4x+3y-6=0
Answer: A
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 221, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Choices:
33
39
77
88
Answer: B
Question: If a and b,c are both even numbers, which of the following is an even number?
Choices:
a + b+c
abc+1
abc + 3
NOne
Answer: A
Question: 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 12 such machines to perform the same job?
Choices:
8.75 hours
12 hours
4 hours
16 hours
Answer: C
Question: Which of the following is a prime number? ?
Choices:
81
83
93
10
Answer: B
Question: Two cylinders are of the same height. Their radii are in the ratio 1: 3. If the volume of the first cylinder is 40 cc. Find the volume of the second cylinder?
Choices:
360cc
450cc
589C
478cc
Answer: A
Question: A tyre has two punctures. The first puncture alone would have made the tyre flat in 25 minutes, and 2nd puncture do the same tyre flat in 15 minutes.Both started their work, After 4 minutes the puncture 2 has mechanic close the leak.Then how many minutes 1st puncture required to flat the remaining air of the tyre?
Choices:
2 minutes
3.25 minutes
2.25 minutes
1.72 minutes
Answer: D
Question: How many W ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles?
Choices:
240
360
540
720
Answer: A
Question: Mary works in a restaurant a maximum of 60 hours. For the first 20 hours, she is paid $8 per hour. For each overtime hour, she is paid at a rate which is 25% higher than her regular rate. How much Mary can earn in a week?
Choices:
420
560
320
400
Answer: B
Question: A locker consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
Choices:
215
220
223
224
Answer: A
Question: A server generates random passwords of 3 letters followed by 3 digits. How many different passwords are possible if letters and digits can be repeated?
Choices:
26³ x 1000
26³ × 10 000 × 9 × 9 × 9 × 9
26 × 25 × 24 × 10 000
26 × 25 × 24 x 23 x 21 x 20
Answer: A
Question: What is the decimal equivalent of (1/10)^2?
Choices:
0.0625
0.16
0.25
0.01
Answer: D
Question: Find the surface area of a cuboid 12 m long, 10 m broad and 18 m high
Choices:
1200 sq.cm
1032 sq.cm
1302 sq.cm
None of these
Answer: B
Question: Find the cost of fencing around a circular field of diameter 70 m at the rate of Rs.1 a meter?
Choices:
132
220
592
261
Answer: B
Question: If a > 0 and x is m percent of y, then, in terms of a, y is what percent of x?
Choices:
b) 1/100a
c) 1/a
d) 10/a
e) 10,000/a
Answer: D
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is a Multiple of 5
II. P is a multiple of 17
III. P is a multiple of 19
Choices:
I only
III only
None of the above
All of the above
Answer: A
Question: Find the value of 72519 x 9999 = m?
Choices:
345657673
455767868
725117481
876674564
Answer: C
Question: How many of the integers between 20 and 80 are even ?
Choices:
30
11
10
9
Answer: A
Question: A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that the gets a profit of Rs.12?
Choices:
3/8
3/4
1/8
1/4
Answer: A
Question: A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in - days if they work together.
Choices:
22 Days
21.5 Days
22.5 Days
23.5 Days
Answer: C
Question: A man walks West 10 miles, then turns right towards North and walks another 10 miles. How far is he from the place he started walking.
Choices:
10
14.14
16.15
1
Answer: B
Question: One pack of cake mix is being stirred before being poured into two separate baking trays. The first tray can hold a certain amount of cups of the mix while the other holds 20 cups less than the first. If the total number of cups poured is 500, how many cups of batter does the second tray hold?
Choices:
260
500
280
240
Answer: D
Question: If -1 < x < 0, which of the following must be true? I. x^8 < x^3 II. x^4 < 1 – x III. x^3 < x^2
Choices:
II only
I only
I,II,III only
II,III only
Answer: C
Question: An investor bought two shares of stock, which he sold for $60 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined, the investor had:
Choices:
a profit of $5
a loss of $5
a loss of $10
neither a profit nor a loss
Answer: B
Question: Working alone, machine X can manufacture 1,000 nails in 15 hours. Working together, machines X and Y can manufacture 1,000 nails in 5 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Choices:
5 1/3
7
7 1/2
8 4/7
Answer: C
Question: John makes $60 a week from his job. He earns a raise andnow makes $75 a week. What is the % increase?
Choices:
25%
16.56%
17.66%
18.1%
Answer: A
Question: Company K's earnings were $12 million last year. If this year's earnings are projected to be 150 percent greater than last year's earnings, what are Company K's projected earnings this year?
Choices:
$15 million
$18 million
$27 million
$30 million
Answer: D
Question: For 1rs 6p interest
wat will be for 2000rs?
Choices:
150Rs
140Rs
120Rs
48Rs
Answer: C
Question: A soccer store typically sells replica jerseys at a discount of 30 percent to 50 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 R percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: C
Question: If a certain sample of data has a mean of 29.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choices:
(24.5; 31.0)
(22.0; 35.5)
(26.5; 36.0)
(25.0; 29.5)
Answer: B
Question: If A and b are both odd numbers which of the following is an even number?
Choices:
a+b
ab
ab+2
None
Answer: A
Question: A division of a company consists of three men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Choices:
2/9
3/11
5/14
6/17
Answer: C
Question: If integers d and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. db + b^2
II. (d + b)^2
III. d + b
Choices:
II only
III only
I and II only
I, II, and III
Answer: A
Question: Flora and Ed will throw five dice each. The score is the sum of points on all five dice. If Flora scores 17 in her attempt, what is the probability that Ed will outscore Flora in his attempt?
Choices:
2/3
1/2
1/3
1/4
Answer: B
Question: The milk level in a rectangular box measuring 50 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
Choices:
250
750
4687.5
5635.5
Answer: C
Question: TWO WORKERS A AND B ARE ENGAGED TO DO A WORK. A WORKING ALONE TAKES 8 HOURS MORE TO COMPLETE THE JOB THAN IF BOTH WORKED TOGETHER. IF B WORKED ALONE, HE WOULD NEED 4 1/2 HOURS MORE TO COMPLETE THE JOB THAN THEY BOTH WORKING TOGETHER. WHAT TIME WOULD THEY TAKE TO DO THE WORK TOGETHER?
Choices:
5 HOURS
6 HOURS
7 HOURS
NONE OF THESE
Answer: B
Question: A total of 40 men and 25 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
Choices:
30.2
32
32.5
33
Answer: A
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
88
77
12
Answer: A
Question: Sachin is younger than Rahul by 4 years. If their ages are in the respective ratio of 7:9, how old is Sachin?
Choices:
28.5 years
24.6 years
23.5 years
24.5 years
Answer: D
Question: A person has to cover a distance of 100km in 10hour. If he covers one half of the distance in half of the total time; to cover the remaining distance in the remaining time, his speed must be?
Choices:
15km/hr
25km/hr
10km/hr
5km/hr
Answer: C
Question: The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Choices:
22
23
24
25
Answer: C
Question: Rajesh is 20 years old and Mary is 30years old. How many years ago was the ratio of their ages 2:5?
Choices:
15
20
25
30
Answer: B
Question: If A is the least common multiple of 90,196, and 300, which of the following is NOT a factor of A?
Choices:
600
900
2,100
4,900
Answer: A
Question: A car covers a distance of 782 km in 8 hours. Find its speed?
Choices:
89 kmph
288 kmph
97 kmph
87 kmph
Answer: C
Question: From the set of numbers x, y, t, z and w, how many different combinations can we have without the t and z in them? Ex:. (x,y), (x), (w,y,x), etc and (x,y)=(y,x)
Choices:
6
15
16
30
Answer: A
Question: 16 boys or 24 girls can construct the wall in 6 days. the number of days that 4 boys and 12 girls Will take to construct?
Choices:
14 days
6 days
8 days
9 days
Answer: C
Question: In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number W of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?
Choices:
189
234
279
309
Answer: C
Question: What is the Compound Interest on Rs.7000 at 8.5% p.a. compounded half-yearly for 5 years.
Choices:
3613.5
3313.5
3616.5
3113.5
Answer: A
Question: A shopkeeper labeled the price of his articles so as to earn a profit of 40% on the cost price. He then sold the articles by offering a discount of 5% on the labeled price. What is the actual percent profit earned in the deal?
Choices:
20%
17%
33%
None of these
Answer: C
Question: In a joint business, the capital of A, B and C were Rs. 45000, Rs. 30000 and Rs. 22500 respectively. A withdrew half of his capital after 4 months. After 9 months of this withdrawal, there was a total profit of Rs. 28400. Find the each share of profit?
Choices:
10600
10400
10200
10000
Answer: B
Question: A group of n people, including Caroline and her best friend Catherine, stand in random order
around a circle, with each order being equally likely. If the probability that Catherine is adjacent
to Caroline is 1/9 , then what is the value of n?
Choices:
19
18
17
16
Answer: A
Question: A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 3 percent and 6 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
Choices:
21/25
1/2
3/5
3/4
Answer: A
Question: A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Choices:
7
6
4
2
Answer: C
Question: The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked from each cow each year?
Choices:
8222
4370
26777
8222
Answer: B
Question: At a certain health club, 30 percent of the members use both the pool and sauna, but 20 percent of the members who use the pool do not use the sauna. What percent of the members of the health club use the pool?
Choices:
58 1/3%
50%
62 1/2%
75%
Answer: A
Question: In a camp, there is a meal for 160 men or 200 children. If 150 children have taken the meal, how many
men will be catered to with the remaining meal ?
Choices:
32 men
34 men
40 men
None of these
Answer: C
Question: A group of students was interviewed for that if it was asked whether or not they speak French and / or English. Among those who speak French, 25 speak English well, while 65 of them do not speak English. If 55% of students do not speak French, how many students were surveyed?
Choices:
175
225
200
250
Answer: C
Question: Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 61 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?
Choices:
38%
45%
53%
62%
Answer: C
Question: A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15?
Choices:
7.4
7.7
8.2
8.6
Answer: A
Question: The total population of city A and city B is 5000 more than the total population of city B and city C. How much lesser is the population in city C as compared to city A?
Choices:
3500
4500
5000
1500
Answer: C
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
Choices:
17/21
17/23
17/20
17/22
Answer: C
Question: The average of 9 numbers is 8 and the average of 7 other numbers is 8. What is the average of all 16 numbers?
Choices:
8
7 7⁄8
7 1⁄2
7 1⁄4
Answer: A
Question: In Arun's opinion, his weight is greater than 63 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 66 kg. If all of them are correct in their estimation, what is the average of diferent probable weights of Arun ?
Choices:
64.5 kg
46.5 kg
26.5 kg
16.5 kg
Answer: A
Question: Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 45 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Choices:
50 lakh
72 lakh
60 lakh
None of these
Answer: B
Question: 3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango.
Choices:
92
72
37
28
Answer: C
Question: Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
Choices:
32 years, 23 years
35 years, 29 years
35 years, 33 years
34 years, 33 years
Answer: A
Question: If $800 is deposited into a savings account at an annual interest rate of 3% that compounds monthly, what is the value of the investment after 5 years?
Choices:
$950.00
$973.25
$100.25
$110.00
Answer: A
Question: Find the angle between the hour hand and the minute hand of a clock when the time is 3.25
Choices:
47.5 degrees
27.5 degrees
87.5 degrees
97.5 degrees
Answer: A
Question: If S is the sum of the reciprocals of the consecutive integers from 41 to 50, inclusive, which of the following is less than S?
I. 1/4
II. 1/5
III. 1/6
IV. 1/4>S >1/5
Choices:
II
III
I&II
IV
Answer: D
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 10%?
Choices:
29%
10%
35%
90%
Answer: C
Question: A man sells two articles for Rs.3250 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss?
Choices:
12%loss
16%loss
18%loss
11%loss
Answer: B
Question: Which of the following is a prime number ?
Choices:
90
97
99
None
Answer: B
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:
27769
26552
11750
29972
Answer: C
Question: Replace the ____ by the correct mathematic symbol to make expression true?
18 ? 12 ? 4 ? 5 = 59
Choices:
18*12/4+5
18*12*4+5
18*12/4-5
None
Answer: A
Question: In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 42, the dividend is:
Choices:
4452
5342
5345
5356
Answer: A
Question: A school’s annual budget for the purchase of student computers increased by 20% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
Choices:
2%
3%
1%
0%
Answer: D
Question: In how many of ways can 5 balls be placed in 3 tins if any number of balls can be placed in any tin?
Choices:
5P4
54
4^5
3^5
Answer: D
Question: A trader has 50 kg of pulses, part of which he sells at 8 per cent profit and the rest at 18 per cent profii. He gains 14 per cent on the whole. What is the quantity sold at 18 per cent profit?
Choices:
30 kg
20 kg
40 kg
none of these
Answer: A
Question: How many different values of positive integer x, for which |x+4|<x, are there?
Choices:
2
3
8
16
Answer: C
Question: The average monthly salary of 20 employees in an organisation is Rs. 1300. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Choices:
3890
88798
3400
2891
Answer: C
Question: One paper is equally folded 35 times, then what is the new thickness of the paper ?
Choices:
2T
T x (2 ^90)
T x (2 ^20)
T x (2 ^50)
Answer: D
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 37 minutes, then the slower pipe alone will be able to fill the tank in
Choices:
148 mins
136 mins
132 minw
None of these
Answer: A
Question: A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 7 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
Choices:
4,200
7350
20,520
84,000
Answer: B
Question: A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 33 times, A has killed:
Choices:
72 birds
37 birds
80 birds
20 birds
Answer: B
Question: From below option 51 is divisible by which one?
Choices:
B)5
C)6
D)3
E)7
Answer: C
Question: Karthik read 7/13 th of a book in 1st week and 5/9 th of the remaining book in 2nd week. If there were 96 pages unread after 2nd week, how many pages were there in the book ?
Choices:
452
468
502
396
Answer: B
Question: How many prime numbers between 1 and 100 are factors of 7150?
Choices:
100
299
270
111
Answer: A
Question: I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?
Choices:
a ≥ b
a < b
a ≤ b
a = b or the relationship between a and b cannot be established.
Answer: A
Question: The length of a side on an equilateral triangle is doubled. If y is the previous parameter, what is the value of the new parameter?
Choices:
2y
3y
4y
12y
Answer: A
Question: The cost of water in the area where the Jones family lives is scheduled to increase by 35% next year. Since the Jones family cannot afford an increase in their water bill, how much will they have to reduce consumption to keep their cost the same?
Choices:
25.9%
10.2%
45%
15.5%
Answer: A
Question: Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 60% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
Choices:
75%
89%
116%
150%
Answer: B
Question: At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 65. If the restaurant serves 120 customers today, raising the average to 90 customers per day, what is the value of x?
Choices:
1
9
15
30
Answer: A
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 Rs. 2000 more than D, what is B's share?
Choices:
A)4000
C)2000
D)2393
E)2009
Answer: A
Question: Let y = 2g + x^2 and g = 5x + 1.
If g^2 = 361, then which of the following can be a value of 2y + 3g?
Choices:
92
-101
142
160
Answer: B
Question: How many different arrangements of A, B, C, D, and E are possible where A is not adjacent to B and D is not adjacent to E?
Choices:
48
32
30
1
Answer: A
Question: If m is an integer such that (-2)^2m=2^(24-m) then m=?
Choices:
8
9
10
11
Answer: A
Question: If 36 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
Choices:
60 hours
30 hours
62 hours
66 hours
Answer: A
Question: In a zoo there are 50 penguins, 4 lions, and 20 tarantulas with some zookeepers. If the total number of feet be XXX more than the number of heads in the caravan, the number of zookeepers is
Choices:
2
4
6
8
Answer: D
Question: In a sequence, the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence?
Choices:
5/8
8/5
5/3
9/2
Answer: B
Question: Shopkeeper rise price by 32% and gives successive discount of 10% and 15%. What is overall % gain or loss?
Choices:
0.98%
3.95%
6.98%
7.98%
Answer: A
Question: A worker is paid x rupees for painting every 30 metres of a wall and y rupees for painting every extra metre. During one week, he painted 30 metres on Monday, 30 metres on Tuesday, 32 metres on Wednesday, 32 metres on Thursday and 31 metres on Friday. What is his average daily earning rupees for the five day week?
Choices:
(5x + 9y)/5
10x + (8/5)y
None of these
x+y
Answer: D
Question: The ‘moving walkway’ is a 300-foot long walkway consisting of a conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a rate of 3 feet per second. Once Bill reaches the group of people, he stops walking and stands with them until the walkway ends. What is Bill’s average rate T of movement for his trip along the moving walkway?
Choices:
2.5 feet per second
3 feet per second
4 feet per second
5 feet per second
Answer: D
Question: If 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Choices:
237
300
450
281
Answer: B
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Choices:
65
85
95
80
Answer: B
Question: If (2^12)(25^S) = 5(10^m) what is the value of m ?
Choices:
12
15
16
23
Answer: A
Question: X can do a piece of work in 40days. He works at it for 8days and then Y finished it in 36days. How long will Y take to complete the work?
Choices:
45
15
18
20
Answer: A
Question: Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 12x + 3 = 0?
Choices:
7
23
17
42
Answer: D
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
85%
24%
22%
Answer: A
Question: A cylindrical water tower with radius 2.5 m and height 4 m is 3/4 full at noon. Every minute, .08π m3 is drawn from tank, while .03π m3 is added. Additionally, starting at 1pm and continuing each hour on the hour, there is a periodic drain of 4π m3. From noon, how many hours will it take to drain the entire tank?
Choices:
20 6/7
21
21 3/7
3
Answer: D
Question: Two cars were driven by R and B. They were 580 miles apart when they started driving towards each other.R's car had traveled at a speed of 20 miles per hour, 4 hours per day for 5 days when it had met B's car. If B had driven 3 hours per day for 5 days, what was B's speed in miles per hour?
Choices:
9
10
11
12
Answer: D
Question: From the given equation find the value of x: x² − 3x + 2
Choices:
1
-2
3
4
Answer: A
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 24. In the company, what is the maximum number of non-managers in a department that has 8 managers?
Choices:
27
28
29
30
Answer: A
Question: A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
Choices:
56.65 %
56.65 %
58.25 %
52.25 %
Answer: B
Question: The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 196, what is the difference between the ages of Patrick and Monica?
Choices:
64
45
72
18
Answer: A
Question: A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is
Choices:
5%
8%
10%
None of these
Answer: A
Question: The present age of a father is 3 years more than three times the age of his son. Three years hence ,father's age will be 10 years more than twice the age of the son , Find the present age of the father.
Choices:
33 years
31 years
35 years
40 years
Answer: A
Question: The average of 6 no.'s is 2.80. The average of 2 of them is 2.4, while the average of the other 2 is 2.3. What is the average of the remaining 2 no's?
Choices:
2.6
3.6
3.7
4.6
Answer: C
Question: Mother,her daughter and her grand child weighs 150 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Choices:
47
42
49
50
Answer: B
Question: Divide $900 among A,B in the ratio 1:2. How many $ that A get?
Choices:
$300
$150
$250
$600
Answer: A
Question: The sub-duplicate ratio of 9:25 is
Choices:
1:2
3:5
1:4
2:3
Answer: B
Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?
Choices:
10
7
9
12
Answer: A
Question: Rs. 6000 is lent out in two parts. One part is lent at 6% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 450. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
5:5
5:8
5:4
5:3
Answer: D
Question: Sara bought both German chocolate and Swiss chocolate for some cakes she was baking. The Swiss chocolate cost $3.6 per pound, and German chocolate cost $3 per pound. if the total the she spent on chocolate was $36 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?
Choices:
8
10
15
36/3
Answer: D
Question: What is the tens' digit W of the sum of the first 40 terms of 1, 11, 111, 1111, 11111, 111111, ...?
Choices:
W=3
4
8
9
Answer: A
Question: Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Choices:
Rs. 13, Rs. 17
Rs. 15, Rs. 14
Rs. 17, Rs. 13
Rs. 19, Rs. 15
Answer: A
Question: For each color copy, Print Shop X charges $1.25 and Print Shop Y charges $2.75. How much greater is the charge for 40 color copies at Print Shop Y than at Print Shop X?
Choices:
$54
$60
$66
$72
Answer: B
Question: Two trains 150 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Choices:
7.12
7.16
7.55
7.82
Answer: D
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
4
6
8
9
Answer: A
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
77
55
22
Answer: A
Question: How many of the factors of 168 are divisible by 2?
Choices:
8
10
12
16
Answer: C
Question: It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 12 minutes, how much time will she spend doing yoga? (rounded to minutes)
Choices:
41 min.
17 min.
23 min.
20 min.
Answer: D
Question: A set consist of 2b-1 element. What is the number of subsets of this set which contain at most b-1 elements?
Choices:
2^(2b-2)
2^(2b) -1
2^(2b)
2^(2b-1)
Answer: A
Question: A man goes from A to B at a speed of 35 kmph and comes back to A at a speed of 28 kmph. Find his average speed for the entire journey?
Choices:
38.8 kmph
38.1 kmph
37.1 kmph
37.8 kmph
Answer: B
Question: If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
Choices:
12
27
92
32
Answer: A
Question: J is 25% less than P and 20% less than T. T is w% less than P. What is the value of w?
Choices:
90
6.75
6.25
2
Answer: C
Question: Bob had x number of sweets and wanted to share it with his 6 friends. However, he could not divide x into 7 parts equally. He also found that he could not divide x equally into 6,5,4,3 or 2 parts either. He decided to throw one sweet away and found that he had enough sweets to divide into 7,6,5,4,3 or 2 equal parts. What is the smallest possible number of x?
Choices:
421
423
420
541
Answer: A
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?
Choices:
2/11
1/11
4/11
1/11
Answer: A
Question: JOHN and ANDREW can finish John work 30 days if they work together. They worked together for 20 days and then ANDREW left. JOHN finished the remaining work in another 20 days. In how many days JOHN alone can finish the work?
Choices:
60 days
65 days
78 days
80 days
Answer: A
Question: Two trains travelling in the same direction at 108 and 90 kmph completely pass off another in 1 minute. If the length of the first train is 100 m, what is the length of the second train?
Choices:
266
175
200
171
Answer: C
Question: Jonathan’s grandparents lend $10,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive?
Choices:
10,000∗0.5
10,000∗1.5
10,000∗1.1^5
(10,000∗0.1)^5
Answer: B
Question: If K persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Choices:
x
x/y
z/x
y/z
Answer: D
Question: What least number mustbe subtracted from 427398 so that remaining no.is divisible by 15
Choices:
436557678
457676788
725117481
567768788
Answer: C
Question: A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 120 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choices:
122
122.5
113
112.5
Answer: D
Question: The greatest ratio out of 2:3, 5:8, 3:2, 8:9 and 8:1 is?
Choices:
3:2
5:8
8:1
8:9
Answer: C
Question: Machine A and machine B are each used to manufacture 880 sprockets. It takes machine A 10 hours longer to produce 880 sprockets than machine B. Machine B produces 10% more sprockets per hour than machine A. How many sprockets per hour does machineAproduce?
Choices:
6.6
8.8
100
110
Answer: B
Question: A wildlife preserve is being planned for 6,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. If the number of rhinoceroses is expected to increase by 10 percent, how many thousand acres should the preserve have in order to provide for the increased population?
Choices:
330
670
310
300
Answer: B
Question: Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers.
How long Donald duck can cover distance of one side at a still pool (with no current).
Choices:
45 minutes
43 minutes
48 minutes
50 minutes
Answer: C
Question: A woman named Ranjani started a business investing Rs. 5,000. Roja joined him after six months with an amount of Rs. 5,000 and Sachin joined them with Rs. 10,000 after another six months. The amount of profit earned should be distributed in what ratio among Ranjani, Roja and Sachin respectively, 3 years after A woman started the business ?
Choices:
12:15:16
42:45:56
6 : 5 : 8
6 : 4 : 3
Answer: C
Question: In the quadrilateral PQRS d=8 cm, h1=4.4 cm and
h2=2.2 cm. Find the area
Choices:
22
23
24
26.4
Answer: D
Question: In printing test papers for Excel, Gayatri found that if she used Arial font size 10 instead of Times Roman font size 10 there was a reduction of 18% in the number of pages required for test papers. Further, if she reduced the font size from 10 to 9, the savings were 14% and 10% in Times Roman and Arial fonts respectively. If an test papers printing in Times Roman font size 9 is converted to Arial font size 9, what is the percentage reduction in the number of pages?
Choices:
14.1
14.3
14.4
14.5
Answer: A
Question: John went on a diet 6 months ago when he weighed 224 pounds. If he now weighs 200 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?
Choices:
3.5
4
4.5
5
Answer: D
Question: If 4 spiders make 4 webs in 4 days, then 1 spider will make 1 web in how many days?
Choices:
3
5
4
6
Answer: C
Question: The ratio of investments of A, B and C is 5:6:7. If they share the profit in the ratio of 5:12:14, then find the ratio of their periods of investments.
Choices:
1:2:2
3:2:4
2:4:3
2:5:3
Answer: A
Question: Which of the following is closest to (9!-8!)/(9!+8!)?
Choices:
0.8
0.2
1
10
Answer: A
Question: If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 364, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: D
Question: How many digits are there in the integer 8^7 × 25^12?
Choices:
24
21
19
15
Answer: A
Question: Tickets numbered from 1 to 21 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3?
Choices:
1/3
3/10
3/7
1/7
Answer: A
Question: The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 78, and last 6numbers is 75 then find 6th number?
Choices:
A)258
C)58
D)62
E)48
Answer: A
Question: A, B and C invests Rs.4000, Rs.3000 and Rs.2000 in a business. After one year B removed his money; A and C continued the business for one more year. If the net profit after 2 years be Rs.2400, then B's share in the profit is?
Choices:
289
480
400
278
Answer: B
Question: Which of the following numbers is the biggest => [-5/7 , -7/8 , -9/10 , -12/13 , -34/35]
Choices:
A)-5/7
C)-9/10
D)-12/13
E)-34/35
Answer: A
Question: What is the difference between 38% of 80 nd 12% of 160.
Choices:
12.4
12.7
11.2
10.3
Answer: C
Question: What is the minimum value of |x-4| + |x+8| + |x-5| ?
Choices:
13
5
7
8
Answer: A
Question: Linda bought 3 notebooks at $1.20 each; a box of pencils at $1.50 and a box of pens at $1.70. How much did Linda spend?
Choices:
$6.80
$4.80
$7.80
$8.80
Answer: A
Question: If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (3x + 2y) is positive integer II. (xy)^2 is positive integer III. (y^2 - x) is even integer
Choices:
III only
II only
I,III only
none of these
Answer: B
Question: Pary,INC recently conducted a survey and found that 75,000 of its customers live in rural areas. if the number of it customers who live in urban areas is 200 percents grater than the numbers of customers who live in rural areas, how many of Pary,INC customers live in urban areas ?
Choices:
216,000
225,000
480,000
540.0
Answer: B
Question: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is
Choices:
83
84
85
86
Answer: B
Question: A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Choices:
5
9
11
12
Answer: C
Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Choices:
27773
29989
28800
29883
Answer: C
Question: How many positive integers less than 100 are there such that they are multiples of 8 or multiples of 7 but not both?
Choices:
22
25
24
31
Answer: C
Question: There are 11 dozen mangoes in a box. If there are 39
such boxes, how many mangoes are there in all the
boxes together?
Choices:
5148
6192
628
None
Answer: A
Question: In an examination 35% of the students passed and 455 failed. How many students appeared for the examination?
Choices:
400
700
650
840
Answer: B
Question: 14, 28, 20, 40, 32, 64, ?
Choices:
25
58
47
56
Answer: D
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 5 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Choices:
36
21 3/7
34 5/7
34 6/7
Answer: B
Question: A person crosses a 1000 m long street in 10 minutes. What is his speed in km per hour?
Choices:
8.2
4.6
6.0
12.8
Answer: C
Question: If f(y)=y^2 and y is a positive integer, which of the following CANNOT be the value of f(f(y))?
Choices:
144
81
16
256
Answer: A
Question: The sum of two numbers is twice their difference. If one of the numbers is 10, the other number is
Choices:
30
−3 1/3
a or b
None
Answer: C
Question: If the positive integer x is a multiple of 9/15 and the positive integer y is a multiple of 5/3, then xy must be a multiple of which of the following?
I. 5
II. 3
III. 1
Choices:
I and II only
I only
III only
I, II, and III
Answer: C
Question: A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,588.25. How many boxes of plain cookies did she sell?
Choices:
233
500
695
786
Answer: D
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 500 m long?
Choices:
190 Sec
170 Sec
267 Sec
276 Sec
Answer: B
Question: A scale 7 ft. 6 inches long is divided into 5 equal parts. Find the length of each part.
Choices:
77 inches
66 inches
18 inches
66 inches
Answer: C
Question: The average weight of 10 person's increases by 4 kg when a new person comes in place of one of them weighing 70kg. What is the weight of the new person?
Choices:
86.5
90
88.5
110
Answer: D
Question: A man goes from A to B at a speed of 20 kmph and comes back to A at a speed of 30 kmph. Find his average speed for the entire journey?
Choices:
24 kmph
16 kmph
19 kmph
11 kmph
Answer: A
Question: If 8^x = 2^15, what is x?
Choices:
3
4
5
6
Answer: C
Question: The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 588, Krishan has ?
Choices:
s. 2330
s. 1190
s. 3468
s. 2680
Answer: C
Question: A waiter's salary consists of his salary and tips. During one week his tips were 9/4 of his salary. What fraction of his income came from tips ?
Choices:
5/4
9/13
5/9
6/9
Answer: B
Question: A trumpet section includes seven musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
Choices:
125
5040
100
25
Answer: B
Question: Which of the following numbers is two more than the square of an odd integer?
Choices:
14,163
14,577
14,737
14,981
Answer: A
Question: A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 600 m long?
Choices:
84sec
90sec
94sec
100sec
Answer: A
Question: A certain company consists of 3 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different)
Choices:
108
135
270
990
Answer: A
Question: A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
38
87
cannot be determined
282
Answer: C
Question: The bankerâ€™s discount on Rs. 1600 at 6% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
Choices:
4 months
6 months
10 months
None
Answer: C
Question: One vessel contains a mixture of 5 parts pure wine and 3 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
Choices:
35;36
7 : 4
14 : 5
None of these
Answer: A
Question: Currently, y percent of the members on the finance committee are women and next month, z percent of the men on the finance committee will resign. If no other personnel changes occur, then after the resignations next month, the men who remain on the finance committee will represent what percent of the total finance committee members?
Choices:
(100)(100 - z)(100 - y)/(100^2 - z(100 - y))
(100 - z)(100 - y)
zy/100 - z
z(100 - y)/100
Answer: A
Question: Carina has 55 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
Choices:
6
5
4
3
Answer: D
Question: A wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 2 cm x 7 cm x 3 cm. The maximum number ofboxes that can be carried in the wooden box, is
Choices:
8000000
7500000
1200000
None of these
Answer: A
Question: Bruce purchased 8kg of grapes at the rate of 70 per kg and 11 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
Choices:
B)1165
C)1055
D)1065
E)1075
Answer: A
Question: As a treat for her two crying children, a mother runs to the freezer in which she has two cherry ice pops, three orange ice pops, and five lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one invariably being jealous of the other and getting even more upset, what is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
1/6
5/18
31/360
5/6
Answer: C
Question: Find the number of subsets of the set {1,2,3,4,5,6,7,8,9,10,11} having 4 elements.?
Choices:
660
165
330
None of these
Answer: C
Question: In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (3,3) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Choices:
(0,4)
(2,-6)
(2,6)
(4,0)
Answer: C
Question: In 1990 the budgets for projects Q and V were $660,000 and $860,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
Choices:
1993
1994
1995
1996
Answer: C
Question: The sum of one-half, one-third and one-fourth of a number exceeds the number by 12. The number is
Choices:
144
90
174
184
Answer: A
Question: 12 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 27 cm height. What is the diameter of each sphere?
Choices:
4 cm
6 cm
8 cm
10 cm
Answer: B
Question: If x*y = xy – 2(x + y) for all integers x and y, then 5* (–3) =
Choices:
–19
–4
4
16
Answer: A
Question: How many numbers from 10 to 100 are exactly divisible by 9?
Choices:
10
11
12
14
Answer: A
Question: If sum of the first 11 terms of arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?
Choices:
0
1
Not unique
None of these
Answer: A
Question: There are two sections B and C of a class, consisting of 46 and 54 students respectively. If the average weight of sections B is 50 kg and that of sections C is 45 kg. Find the average weight of the whole class
Choices:
47.3
49.3
50.3
None
Answer: A
Question: If 8000 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?
Choices:
8 books
1 book
5 books
4 books
Answer: A
Question: There are 193 items that are members of set U. Of these items, 41 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ?
Choices:
116
94
98
108
Answer: A