antoine-444/aqua_rat_dataset huggingface dataset:
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Choices:
0.5904
0.5902
0.5907
0.5901
Answer: A
Question: 18 beavers, working together in a constant pace, can build a dam in 12 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
Choices:
4.
5.
6
18.
Answer: D
Question: The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Choices:
266
299
750
261
Answer: C
Question: A train running at the speed of 60 km/hr crosses a pole in 36 seconds. What is the length of the train?
Choices:
176 m
100 m
600 m
765 m
Answer: C
Question: What is the measure of the angle Y made by the diagonals of the any adjacent sides of a cube.
Choices:
45
60
75
90
Answer: B
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 40 years now, the son's age five years back was:
Choices:
A)15
C)56
D)89
E)34
Answer: A
Question: If the average of w, b, c, 14 and 15 is 12. What is the average value of w, b, c and 29
Choices:
13
14
15
16
Answer: C
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
Choices:
240 m
300 m
500 m
550 m
Answer: A
Question: n is an integer chosen at random from the set
{5, 7, 9, 11 }
p is chosen at random from the set
{2, 4, 10, 14, 18}
What is the probability that n + p = 13 ?
Choices:
0.15
0.25
0.3
0.4
Answer: A
Question: A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Choices:
7.14%
7.86%
8.25%
8.63%
Answer: A
Question: At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?
Choices:
60
90
95
None of these
Answer: A
Question: Sylvia can buy watches at a price of M dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of X by selling Y watches, then in terms of M and X and Y, what is the percent of the markup from her buy price to her sell price?
Choices:
100X*(YM)
100X/(YM)
100X-(YM)
100X+(YM)
Answer: B
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 14%?
Choices:
29%
13 1/30%
12%
13%
Answer: A
Question: Find the smallest four-digit number which is a multiple of 112.
Choices:
1008
1120
1024
None of these
Answer: A
Question: 25% of 30% of 45% is equal to?
Choices:
0.03375
0.0337
0.03377
0.03376
Answer: A
Question: A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?
Choices:
20 min past 7pm on wednesday
20 min past 8pm on wednesday
29 min past 7pm on wednesday
20 min past 5pm on wednesday
Answer: A
Question: Tom, who has 50 math questions, will get 7 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?
Choices:
193
194
195
197
Answer: D
Question: In how many different number of ways 5 boys and 3 girls can sit on a bench?
Choices:
40320
720
730
740
Answer: A
Question: If selling price of an article is Rs. 250, profit percentage is 25%. Find the ratio of the cost price and the selling price
Choices:
4:5
2:1
9:3
4:2
Answer: A
Question: If n is a natural number, then 6n^ 2 + 6n is always divisible by?
Choices:
6 and 12
12 only
18 only
20 only
Answer: A
Question: If the sum of two numbers is 45 and the H.C.F and the sum of the reciprocals of the numbers are 3 and 103/100 respectively, then the LCM of the numbers is equal to:
Choices:
300
245
100
200
Answer: C
Question: A lemonade stand sold only small and large cups of lemonade on Tuesday. 2/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/6 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Choices:
(b) 7/11
(c) 10/21
(d) 17/35
(e) 1/2
Answer: A
Question: Light glows for every 15 seconds . How many times did it between 1:57:58 and 3:20:47 am
Choices:
332
383
334
385
Answer: A
Question: A 250m long train is travelling at 30km/hr. Another 200m long train travelling at 40km/hr in the same direction overtakes it. How long would it take to pass the first train completely?
Choices:
1min32secs.
3min42secs.
2min42secs,
4min12secs.
Answer: C
Question: A boy is traveling from his house to school at 3km/hr and reached school 9minutes late. Next day he traveled 4km/hr and reached 6minutes early. Then find the distance between house and school?
Choices:
3km
5km
2.5km
6km
Answer: A
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
Choices:
23
25
29
17
Answer: B
Question: There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
Choices:
r / (r + b + w)
r * (r + b + w)
r / (r + b )
r / (r + w)
Answer: A
Question: What is the total number of X integers between 100 and 200 that are divisible by 3?
Choices:
33
31
30
29
Answer: A
Question: Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 42 workers in the Palabras bookstore, how many of them have read both books?
Choices:
3
9
8
7
Answer: A
Question: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
Choices:
63
22
29
177
Answer: A
Question: The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:
Choices:
6cm
8cm
10cm
9cm
Answer: A
Question: If cost of sugar increases by 52%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
34.21
36.32
28.21
26.54
Answer: A
Question: Three numbers are in the ratio 1:4:8 and their H.C.F is 3. The numbers are?
Choices:
3, 12, 27
3, 12, 22
3, 12, 24
3, 12, 21
Answer: C
Question: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
Choices:
10% p.a
20% p.a
28% p.a
30% p.a
Answer: B
Question: In a class of 40 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
Choices:
8
10
11
14
Answer: C
Question: Express 20 mps in kmph?
Choices:
88
90
72
21
Answer: C
Question: Edward is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 6 miles per hour and returns along the same route at an average speed of 9 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
Choices:
5.8
6.0
6.3
7.2
Answer: D
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1400 per sq. metre.
Choices:
Rs. 15550
Rs. 15600
Rs. 28875
None of these
Answer: C
Question: At the time of marriage, a man was 8 years elder to his wife. 15 years after their marriage, his age is 5/4 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
Choices:
30 years
18 years
17 years
26 years
Answer: C
Question: It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Choices:
7 * 2^23
7 * 2^33
5 * 2^32
2^96 + 1
Answer: D
Question: List L: ABC, BCA, CAB
In list L above, there are 3 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
Choices:
114
152
161
488
Answer: B
Question: If the cost price of 50 articles is equal to the selling price of 46 articles, then the gain or loss percent is?
Choices:
65
78
33
8.69
Answer: D
Question: The ratio between the present age of P and Q is 6 : 7. if Q is 4 years old then P, what will be the ratio of the ages of P and Q after 4 year ?
Choices:
3 : 5
7 : 8
4 : 3
None of these
Answer: B
Question: A die is thrown twice and the sum of the numbers appearing is observed to be 6.
find the conditional probability that the number 4 has appeared at least once?
Choices:
2/5
3/7
3/11
None
Answer: A
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 Sec
176 Sec
2687 Sec
1876 Sec
Answer: A
Question: A, B can Complete a work in 15 days &10 days respectively. They started doing thework together after 2 days B had to leave and A alone completed the remaining work.The whole work wascompleted in how many days?
Choices:
10 days
12 days
14 days
16 days
Answer: B
Question: Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability E that the World Series will consist of fewer than 7 games?
Choices:
25%
31.25%
68.75%
75%
Answer: C
Question: Find the sum of first 30 natural numbers
Choices:
468
465
463
485
Answer: B
Question: What should come in place of the question mark(?) in the following equation?
4 1⁄2 × 4 1⁄3 - 8 1⁄3 ÷ 5 2⁄3 = ?
Choices:
18 1⁄34
13 3⁄34
7⁄17
None of these
Answer: A
Question: Tina’s cat weighs 3.2 kilograms. Her dog weighs 5 times as much as her cat. How much does her dog weigh in kilograms?
Choices:
B)38kg
C)22kg
D)48kg
E)16kg
Answer: D
Question: A certain telephone company company charges 3.10 cents for the first 1/5 of a minute plus 0.40 cents for each additional 1/5 of a minute. What would this company charge for a talk time of 8 minutes long?
Choices:
16.0
17.8
18.7
19.1
Answer: C
Question: How many numbers with 3 different digits can be formed using only the even-numbered digit?
Choices:
24
40
60
120
Answer: A
Question: A list of measurements in increasing order is 4, 5, 6, 8, 15 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x?
Choices:
18
20
22
24
Answer: A
Question: If a boat goes upstream at 5 km/hr and downstream at 7 km/hr what is the speed of the stream?
Choices:
1.2 kmph
1.1 kmph
1.3 kmph
1 kmph
Answer: D
Question: 4 friends went for a cinema, and everyone decided to contribute equally to the total bill of $60. If one of the friends had a coupon for 8% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
Choices:
13.1
13.2
13.8
14
Answer: C
Question: A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
Rs.3967
Rs.3927
Rs.3900
Rs.3282
Answer: C
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
Choices:
67.4
67.2
67.6
67.0
Answer: B
Question: A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen?
Choices:
3
5
6
9
Answer: A
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 percent of the list price is the lowest possible sale price?
Choices:
25
30
40
50
Answer: C
Question: The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
Choices:
1/2
2/3
3/5
3/8
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, C receives :
Choices:
8400
37798
13777
14778
Answer: A
Question: A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability R of generating an odd prime digit is between
Choices:
1/6 and 1/3
1/3 and 1/2
1/2 and 2/3
2/3 and 5/6
Answer: A
Question: P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
Choices:
50000
40000
20000
60000
Answer: D
Question: The speed of a boat in upstream is 70 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
5 kmph
65 kmph
55 kmph
14 kmph
Answer: A
Question: Square X is inscribed in circle Y. If the perimeter of X is 100, what is the circumference of Y?
Choices:
2√ 2π
5√ 2π
4√ 2π
25√ 2π
Answer: D
Question: A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
Choices:
85
88
90
92
Answer: C
Question: When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 30% water?
Choices:
1.5 kg
1.4 kg
1.9 kg
None of these
Answer: B
Question: The variables a and b are non-zero integers W. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
Choices:
c is halved.
c is doubled.
c is multiplied by 4.
c is multiplied by 16.
Answer: D
Question: A certain psychologist charges $40 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $375, what is the total charge to a patient who receives only 2 hours of therapy ?
Choices:
$135
$150
$174
$192
Answer: C
Question: 20% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
Choices:
30
50
55
60
Answer: B
Question: At 11:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 1:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
Choices:
3:00 p.m.
5:00 p.m.
6:00 p.m.
7:00 p.m.
Answer: A
Question: Students are in cultural program as follows: music-10, Dance-15, and skits -6. No student is in all three cultural program , but 4 are in both music and Dance, 3 are in both music and skits, and 2 are in Dance and skits.
How many different students are in at least one of the three cultural program?
Choices:
28
26
22
18
Answer: C
Question: You are distributing vegetable oil. there are 21 bottles in total out of which 7 are full, 7 half empty, 7 empty. the oil has to be distributed among three people. how will you distribute so that each person gets equal number of bottles and the same quantity of oil
Choices:
1st person : 3 full, 1 half, 3 empty , 2nd person: 3 full, 1 half, 3 empty,, 3rd person : 1 full, 5 half, 1 empty
1st person : 1 full, 2 half, 3 empty , 2nd person: 3 full, 1 empty , 3 empty, 3rd person : 3 full, 5 half, 2 empty
1st person : 1 full, 1 half, 2 empty , 2nd person: 2 full, 1 half, 1 empty, 3rd person : 1 full, 5 half, 2 empty
None
Answer: A
Question: Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?
Choices:
1.2
1.25
1.35
1.5
Answer: D
Question: If 3x=8y=z, what is x+y, in terms of z?
Choices:
2z
11z/24
3z/5
z/9
Answer: B
Question: A man walks from B to C, a distance of x miles, at 10 miles per hour and returns at 15 miles per hour. What is his average speed?
Choices:
12 mph
8.8 mph
8.4 mph
14 mph
Answer: A
Question: When x is divided by y, the quotient is z with remainder t. Which of the following is equal to t?
Choices:
y/x−z
x – y – z
x – yz
zx – y
Answer: C
Question: Find the number of ways of arranging the boy and 12 guests at a circular table so that the boy always sits in a particular seat?
Choices:
8!
11!
12!
14!
Answer: C
Question: A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 85, the number of people who could not dance was 100 and that the number of people who could not drive a car was 91. If the number of people who could do at least two of these things, was found to be 37 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?
Choices:
31
33
35
37
Answer: A
Question: Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Choices:
B)14.55
C)15.55
D)16.55
E)17.55
Answer: B
Question: Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choices:
635.50
635.52
635.59
635.51
Answer: A
Question: In a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. Find the total number of cows.
Choices:
14
16
8
6
Answer: A
Question: If i is a positive integer and i^2 is divisible by 12, then the largest positive integer that must divide i ^3 is
Choices:
2^6
3^3
6^3
12^2
Answer: C
Question: What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, & the last is three times the second?
Choices:
1567
1349
1456
1356
Answer: B
Question: A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers D are possible?
Choices:
4
6
3
Not possible
Answer: B
Question: Pat, kate and mark charged a total of 180 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
Choices:
36
72
90
100
Answer: D
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 600 m long?
Choices:
180 Sec
776 Sec
166 Sec
997 Sec
Answer: A
Question: A train 210 m in length crosses a telegraph post in 13 seconds. The speed of the train is?
Choices:
55 kmph
54 kmph
58 kmph
76 kmph
Answer: C
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 30 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choices:
35
40
41
42
Answer: A
Question: Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
Choices:
20/4 sec
20/7 sec
22/7 sec
60/7 sec
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 36, what is the total amount?
Choices:
140
178
177
169
Answer: A
Question: If there are ten positive real numbers n1 < n2 < n3 … < n10, how many triplets of these numbers (n1, n2, n3), (n2, n3, n4) … can be generated such that in each triplet the first number is always less than the second number, and the second number is always less than the third number?
Choices:
90
120
180
150
Answer: B
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
277
278
450
272
Answer: C
Question: If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire?
Choices:
9 meters
8 meters
2 meters
3 meters
Answer: C
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
Choices:
7 hour 30 minutes
8 hour 15 minutes
8 hour 30 minutes
8 hour 45 minutes
Answer: B
Question: When positive integer X is divided by positive integer Y, the remainder is 5.76. If X/Y = 96.12, what is the value of Y?
Choices:
75
48
25
12
Answer: B
Question: The sum of 33 consecutive integers is 3333. What is the greatest integer in the set?
Choices:
115
117
119
121
Answer: B
Question: Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Choices:
13/33
7/15
17/35
1/2
Answer: A
Question: A profit of Rs. 1000 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Choices:
s. 200
s. 300
s. 50
s. 90
Answer: A
Question: A store raised the price of an item by exactly 30 percent. Which of the following could NOT be the resulting price of the item?
Choices:
195
325
168
18.2
Answer: C
Question: A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 8% dividend at the end of the year,then how much does he get ?
Choices:
Rs. 600
Rs. 960
Rs. 720
None
Answer: B
Question: Of the following, which is the closest approximation of (50.2*0.49)/199.8 ?
Choices:
0.125
0.122
0.123
0.124
Answer: A
Question: At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number T of different possible seating arrangements for the group?
Choices:
10
24
32
120
Answer: B
Question: A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 35%, what should be the sale price of the mixed tea?
Choices:
21.6
20
19.2
None of these
Answer: A
Question: A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
53
88
66
22
Answer: A
Question: 2 pipes A and B can separately fill a cistern in 10 and 15 mins respectively. A person opens both the pipes together when the cistern should have beenwas full he finds the waste pipe open. He then closes the waste pipe and in another 4mins the cistern was full. In what time can the waste pipe empty the cistern when fill?
Choices:
8
9
10
12
Answer: A
Question: An atom's atomic number is determined by the number of:
Choices:
protons
electrons
neutrons
WW2
Answer: A
Question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Choices:
7
5
8
9
Answer: C
Question: A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Choices:
5
70
11
13
Answer: C
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
Choices:
30 cm2
76 cm2
68 cm2
46 cm2
Answer: A
Question: If x > 0.6, which of the following could be the value of x?
Choices:
√0.6
√0.006
√0.008
√0.009
Answer: A
Question: Joseph completes work worth $3.25 in hour and his cost to company per hour is $2.85. Ray completes worth worth of $2.80 in an hour and his cost to company is $2.65 per hour. If Joseph works for 55,000 hours, how many must Ray work so that company makes at least as much in total gross profit as in case of Joseph ?
Choices:
8,301
14,667
63,840
146,667
Answer: D
Question: The simple form of the ratio 4/5:8/9 is?
Choices:
4:9
5:9
5:3
9:10
Answer: D
Question: If 0.8 of a number is equal to 0.09 of another number, the ratio of the numbers i
Choices:
3 : 4
9 : 80
20 : 3
None
Answer: B
Question: A, B, and C working alone can finish constructing a house in 6, 8, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Choices:
11:48 am
12:05 pm
12:27 pm
12:43 pm
Answer: C
Question: Machine A working alone can complete a job in 10 hours. Machine A+B working alone can do the same job in 16 hours. How long will it take machine B working at their respective constant rates to complete the job?
Choices:
80/3
50/4
90/11
23/7
Answer: A
Question: When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of y customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
Choices:
n + y –1
(n-1)/y
y/(n-1)
n/(y-1)
Answer: B
Question: If D is the product of all positive integers less than 31, than what is the greatest integer k for which D/18^k is an integer?
Choices:
6
7
14
26
Answer: B
Question: What is the sum of the greatest common factor and the lowest common multiple of 45 and 125?
Choices:
2201
3240
1130
3840
Answer: C
Question: Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring.
Choices:
4
5
6
78
Answer: A
Question: Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
Choices:
60 m
65 m
70 m
90 m
Answer: A
Question: The present ages of A,B and C are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)?
Choices:
21, 18 and 36
18, 21 and 34
12, 14 and 18
16, 28 and 36
Answer: D
Question: If n is the smallest positive integer for which 2^n is a factor of 10!, then n =?
Choices:
2
6
8
10
Answer: A
Question: A company has 540 employees, 40% of whom are employed part time. If it hires 30 new employees, 20% of whom are employed part time, what will be the percent increase in part time employees?
Choices:
2 7/9 %
4 %
4 1/6 %
9 %
Answer: A
Question: Convert the 13/48 m/s into kilometers per hour?
Choices:
0.91 kmph.
1.2 kmph.
1.5 kmph.
0.98 kmph.
Answer: D
Question: A train 150 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:
59 km/hr
17 km/hr
18 km/hr
12 km/hr
Answer: A
Question: Jimâ€™s Taxi Service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
Choices:
$4.45
$4.80
$5.50
$5.40
Answer: C
Question: The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Choices:
665
662
552
281
Answer: A
Question: The first three terms of a proportion are 5, 15 and 20. The fourth term is?
Choices:
60
89
78
88
Answer: A
Question: A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 44 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?
Choices:
59/16
44/21
55/16
12/59
Answer: C
Question: If the remainder is 7 when positive integer n is divided by 10, what is the remainder when n is divided by 5?
Choices:
1
2
3
2
Answer: D
Question: If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 180 pounds. What is Leo's current weight?
Choices:
86
92
98
104
Answer: D
Question: If a boy travels with 5/6th of usual his speed,he is late by 10 mins.What is the usual time taken to travel?
Choices:
46min
48min
50min
52min
Answer: C
Question: Sum of the squares of 3 no. is 138 and the sum of their products taken two at a time is 131. Find the sum?
Choices:
20
25
26
27
Answer: A
Question: A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :
Choices:
5
10
12
None
Answer: A
Question: In a store, the total price for 20 shirts is $360 and the total price for 45 sweaters is $900. By how much does the average (arithmetic mean) price of a sweater exceed that of a shirt in this store?
Choices:
$2
$3
$4
$5
Answer: A
Question: In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes Q of the competition are possible?
Choices:
20
54
84
120
Answer: C
Question: P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 20 days to complete the same work. then Q alone can do it in
Choices:
22
25
27
40
Answer: D
Question: January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
Choices:
friday
monday
wednesday
thursday
Answer: D
Question: The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
Choices:
960
277
266
121
Answer: A
Question: Find the odd man out.
1, 5, 2, 3, 6, 11, 13
Choices:
6
1
13
11
Answer: A
Question: If 45% of a number is 36, then the number is
Choices:
number is 70
number is 90
number is 80
None of these
Answer: C
Question: A special municipal payroll tax charges not tax on a payroll less than $200,000 and only 0.2% on a company’s payroll above $200,000. If Belfried Industries paid $400 in this special municipal payroll tax, then they must have had a payroll of
Choices:
$400,000
$220,000
$402,000
$2,200,000
Answer: A
Question: If a * b = 2a – 3b + ab, then 5 * 7 + 7 * 5 is equal to:
Choices:
34
72
78
82
Answer: A
Question: The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?
Choices:
Rs. 11,500
Rs. 11,302
Rs. 11,301
Rs. 11,303
Answer: A
Question: How many four letter words are formed using the letters of the word PROBLEM?
Choices:
800
840
880
920
Answer: B
Question: A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets
Choices:
50%
55%
65%
70%
Answer: A
Question: A began business with 12500 and is joined afterwards by B with 50000. When did B join, if the profits at the end of the year are divided equally?
Choices:
3 months
10 months
7 months
None of these
Answer: A
Question: Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel eight times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
Choices:
6
8
9
12
Answer: C
Question: a, b are positive integers. The remainder of a to be divided by 8 is 5 and the remainder of b to be divided by 6 is 2.
Which is possible to be the remainder of a*b to be divided by 48
Choices:
a) 10
c) 8
d) 12
e) 20
Answer: A
Question: A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days?
Choices:
5 days
6 days
3.15 days
2.75 days
Answer: A
Question: Here the sum of the series is 4+8+12+16+….. =612. find how many terms are there in the series?
Choices:
19
17
14
13
Answer: B
Question: If a man crosses a 600 m long street in 5 minutes. What is his speed?
Choices:
7.1 km/hr
7.2 km/hr
8 km/hr
9.2 km/hr
Answer: B
Question: P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 40 meter/sec.
Choices:
7 meter/sec
14 meter/sec
18 meter/sec
35 meter/sec
Answer: D
Question: I have two 10 paise coins. If 4 If 4/5 of what I have is 8is 8/9 of what you have, how much do you have?
Choices:
17
11
18
11
Answer: C
Question: The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-seventh of its original value. How many amperes of electrical current will flow through the wire?
Choices:
7
14
28
35
Answer: C
Question: A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 12, the how old is B?
Choices:
4 years
6 years
15 years
16 years
Answer: A
Question: In how many different ways can the letters of the word "LEADING" be arranged in such a way that the vowels always come together.
Choices:
789
279
277
191
Answer: C
Question: A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $1600 in May, how many cars does he need to sell in June in order to double his May earnings?
Choices:
11
12
13
14
Answer: B
Question: A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Choices:
833 1/3
833 1/21
833 1/2
833 1/3
Answer: A
Question: In an election between two candidates, 10% of votes are were declares invalid. First candidate got 9000 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Choices:
98000
50000
11000
12000
Answer: B
Question: Reeya obtained 40, 60, 70, 80 and 80 out of 100 in different subjects, What will be the average
Choices:
66
80
85
90
Answer: A
Question: Convert 0.38 in to a vulgar fraction ?
Choices:
16/50
17/50
19/50
None
Answer: C
Question: A worker is paid x rupees for painting every 25 metres of a wall and y rupees for painting every extra metre. During one week, he painted 25 metres on Monday, 50 metres on Tuesday, 25 metres on Wednesday, 45 metres on Thursday and 25 metres on Friday. What is his average daily earning rupees for the five day week?
Choices:
(5x + 9y)/5
x + 9y
None of these
Cannot be determined
Answer: B
Question: A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
Choices:
23000
22000
25000
26000
Answer: C
Question: If there are 200 questions in a 3 hr examination. Among these questions are 20 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
Choices:
62 min
70 min
32.72727 min
76 min
Answer: C
Question: A runs twice as fast as B and gives B a start of 42m.How long should the racecourse be so that A and B might reach in the same time?
Choices:
80 m.
84 m.
100 m.
None of the above
Answer: B
Question: The speed of a boat in still water in 22 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is:
Choices:
10.2
10.8
10.4
10.0
Answer: B
Question: A car that has an original value of $52,500 depricates $10000 in the first year and there original cost per year. What is its value after 8 years?
Choices:
$13100
$14100
$15100
$16100
Answer: A
Question: Which of the following is an integer?
I. 13! / 6!
II. 13! / 8!
III. 13! / 7!5!
Choices:
II only
III only
I and II only
I, II and III
Answer: D
Question: If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 6, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
Choices:
1/3
1/5
1/6
1/7
Answer: A
Question: Last year the range of the annual sales of the 100 lamps at Company X was $30,000. If the annual sale of each of the 100 lamps this year is 10 percent greater than it was last year, what is the range of the annual sales of the 100 lamps this year?
Choices:
$30,000
$33,000
$36,000
$63,000
Answer: B
Question: A sum of 1200 lent at S.I at 10% will become twice in how many years?
Choices:
14 years
10 years
8 years
6 years
Answer: B
Question: If the sum of two positive integers is 12 and the difference of their squares is 48, what is the product of the two integers?
Choices:
32
128
135
143
Answer: A
Question: The output of a factory was increased by 15% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?
Choices:
27%
30%
32%
79%
Answer: A
Question: In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 53900. How many times did he participate in the competition?
Choices:
7
9
10
11
Answer: A
Question: In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is
Choices:
19 years
29 years
39 years
None
Answer: C
Question: Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true?=
Choices:
y = 1.2 × 10^a, where a is a positive integer.
y = 1.8 × 10^c, where c is a positive integer.
y = 2.5 × 10^d, where d is a positive integer.
y = 2.7 × 10^e, where e is a positive integer.
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent?
Choices:
20%
80%
30%
24%
Answer: C
Question: A person has three children with at least one boy. Find the probability of having at least two boys among the children.
Choices:
3/4
2/3
1/4
1/5
Answer: A
Question: 39 persons can repair a road in 24 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Choices:
13
14
15
26
Answer: D
Question: P software has coding line 5% more than N, N software has coding line 4/20 more than M. M software has 80 lines of coding. find P lines.
Choices:
101
108
109
110
Answer: A
Question: Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
6 years
8 years
3 years
9 years
Answer: C
Question: The ratio of the incomes of Uma and Bala is 4:3 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $5000 then the income of Uma is?
Choices:
$23000
$22000
$21000
$20000
Answer: D
Question: A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 15days, A finished the remaining work. In how many days A alone can finish the job?
Choices:
25
60
30
20
Answer: D
Question: The number of years of service of the eight employees in a production department are 15, 10, 9, 19, 6, 4, 14 and 16. What is the range in the number of years of service of the eight employees?
Choices:
11
12
13
15
Answer: D
Question: From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t or the u in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)
Choices:
31
32
63
64
Answer: C
Question: 650 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
Choices:
b) 138
c) 60
d) 38
e) 13
Answer: D
Question: Which of the following is always true for any real number 'a' and 'b'?
Choices:
|ab| = |a||b|
|-ab| < |a||b|
|ab| > |a/b|
|ab| = -|ab|
Answer: A
Question: The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Choices:
3799
1200
2693
1732
Answer: B
Question: How many ounces of a 60% salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
Choices:
30
50
60.33
70
Answer: D
Question: A field is 90 metre long and 50 metre broad. A 25 metre long, 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field. How much the level of field will rise?
Choices:
0.5 metre
0.8 metre
0.6 metre
0.7 metre
Answer: A
Question: A shopkeeper purchased 70 kg of potatoes for Rs.420 and sold the whole lot at the rate of Rs 6.50 per kg .What will be his gain percent?
Choices:
8 1/1
8 1/3
8 1/7
8 1/4
Answer: B
Question: Perimeter of rhombus is equal to perimeter of circle. Longest distance between two points in rhombus is 80. Area of rhombus is 2400 cm^2. Find area of circle.
Options: 10000, 62500, 2500, one more I don't Remember.
Choices:
3184.28678
3084.28678
4184.28678
2184.28678
Answer: A
Question: The simple interest at y% for y years will be $y on a sum of
Choices:
$(100)x^2
$ x
$ (100)/y
$ 100x
Answer: C
Question: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
Choices:
6 2/3%
6 7/3%
9 2/3%
6 2/5%
Answer: A
Question: If 20 men take 15 days to to complete a job, in how many days can 20 men finish that work?
Choices:
15
17
18
19
Answer: A
Question: When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.?
Choices:
5
2.25
5.7
6.5
Answer: B
Question: Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:
Choices:
2788
1750
2787
29899
Answer: B
Question: A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 5)%. In terms of x, how many species of bacteria will the group be able to model?
Choices:
(x)(105 – x)
(100)(105 – x)
(100)(95 – x)
(x-5)/100
Answer: A
Question: 5, -28, 2, -31....
Choices:
1
2
4
5
Answer: A
Question: A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 5 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?
Choices:
9
15
21
30
Answer: B
Question: Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 9 hours respectively. The ratio of their speeds is
Choices:
3 : 2
4 : 7
8 : 5
None
Answer: A
Question: father is aged three times more than his son ronit. after 8 years, he would be two and half times if ronit's age. after further 8 years , how many times would he be of ronit's age?
Choices:
2 times
3 times
3.8 times
4 times
Answer: A
Question: What is the perimeter, in meters, of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
Choices:
56
60
56
192
Answer: C
Question: To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.
Choices:
500
575
655
675
Answer: D
Question: In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
Choices:
124
531
145
200
Answer: D
Question: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[4] equivalent to?
Choices:
[108]
[36]
[27]
[18]
Answer: A
Question: A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 890 in 4 years. The rate of interest per annum is?
Choices:
4%
5%
6 2/3 %
11 1/4%
Answer: D
Question: X Y
+Y X
________
The sum of the two digit numbers above is a three digit number PQ1, where each letter X, Y, P, and Q represents a different non zero digit. Which of the following can be the value of X?
I)	7
II)	8
III)	9
Choices:
II only
III only
I and II only
all I , II and III
Answer: D
Question: What is the probability that a leap year has 53 Sundays and 52 Mondays?
Choices:
1/8
1/3
1/7
1/2
Answer: C
Question: Machine Z can produce x units in 3/4 of the time it takes machine N to produce x units. Machine N can produce x units in 2/3 the time it takes machine O to produce x units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
Choices:
1/3
4/13
8/29
6/33
Answer: B
Question: If cement, gravel and sand are to be mixed in 7:10:13 and 7 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.
Choices:
30
34 2/7
34 5/7
34 6/7
Answer: A
Question: If the cost price is 90% of the selling price, then what is the profit percent?
Choices:
11%
13%
21%
19%
Answer: A
Question: If w and y are positive integer and w/y is an even integer, which of the following can be an odd integer?
Choices:
xy
x−y
x+2y
w/3
Answer: D
Question: Which of the following is equal to 3.14 x 10^6) ?
Choices:
3140000
31400
314
314000
Answer: A
Question: 9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
Choices:
18 days
12 days
27 days
26 days
Answer: B
Question: A box contains 10 tablets of medicine A and 17 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Choices:
15
17
19
21
Answer: C
Question: Which is better investment 11% stock at 143 or 9 Â¾% stock at 117
Choices:
9 3/4 stock at 117
both
cannot be compared
none of these
Answer: A
Question: 96% of the population of a village is 23040. The total population of the village is?
Choices:
24000
26682
29973
12312
Answer: A
Question: Simplify:935421 x 625
Choices:
584932715
584938125
584638125
584641258
Answer: C
Question: 1. Internet: $80, with no sales tax, plus $10 shipping fee
2. Store X: $90, a 10% discount, plus 10% tax on discounted price
3. Store Y: $90, no tax
4. Store Z: $90, a 10% sales tax, and $10 rebate after tax
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
Choices:
89.0
89.1
89.50
90.0
Answer: A