antoine-444/aqua_rat_dataset huggingface dataset:
Question: Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 53 hours. If Harry and Annie were paid the same amount last week, how many hours did Harry work last week?
Choices:
50
52
54
56
Answer: C
Question: Rahul went to a shop and bought things worth Rs. 25, out of which 48 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choices:
19.7
19.9
16.7
22.8
Answer: C
Question: In a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
Choices:
3/7
4/7
5/7
16/21
Answer: A
Question: The price of a certain bicycle this year is $1325, which is 6 percent greater than the cost of the bicycle last year. What was the price of the bicycle last year?
Choices:
$1175
$1200
$1225
$1250
Answer: D
Question: If (x - 1)^2 = 289, which of the following could be the value of x - 3?
Choices:
16
14
-17
-19
Answer: D
Question: Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?
Choices:
7
5
4
3
Answer: A
Question: If the sides of a triangle are 20 cm, 12 cm and 16 cm, what is its area?
Choices:
79
85
96
92
Answer: C
Question: A dishonest milkman sells a 50 liter mixture of milk and water that contains milk and water in the ratio of 3:2. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. What is the ratio of milk and water in the final mixture?
Choices:
13:12
2:3
3:2
5:3
Answer: A
Question: What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?
Choices:
420
1260
2520
5040
Answer: A
Question: John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 3 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance?
Choices:
17y/3
6y
8y
9y
Answer: A
Question: In a function they are distributing noble prize. In how many ways can 2 prizes be distributed among 9 boys when a boy gets any no. of prizes?
Choices:
42
81
69
70
Answer: B
Question: Allen and Drake were born on consecutive years on the same date. What could be their ages if teh sum of their age is 23 years?
Choices:
11 and 12 years
8 and 9 years
12 and 13 years
All of these
Answer: A
Question: Which number is the odd one out under the list of numbers?
Choices:
47232
84123
67626
72927
Answer: A
Question: Two trains 250 m and 500 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.9
10.4
27
10.1
Answer: C
Question: A package contains 8 black and 11 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
11/19
6/8
7/9
1/3
Answer: A
Question: A train running at the speed of 110 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
275m
208 m
988 m
299 m
Answer: A
Question: How many seconds will a 600 m long train take to cross a man walking with a speed of 2 km/hr in the direction of the moving train if the speed of the train is 56 km/hr?
Choices:
54
40
36
31
Answer: B
Question: If x and y are integers and 3^(x+4) = 3^(y+2), what is y in terms of x?
Choices:
x - 5
x - 2
x + 2
x + 6
Answer: C
Question: 23 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Choices:
20
21
22
23
Answer: D
Question: How many integers from 101 to 600, inclusive, remains the value unchanged when the digits were reversed?
Choices:
50
70
80
90
Answer: A
Question: If k^3 is divisible by 162, what is the least possible value of integer k?
Choices:
15
18
24
36
Answer: B
Question: My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father when my brother was born?
Choices:
34years
33years
32years
31years
Answer: C
Question: A store sold cherries in the afternoon twice as many as in the morning. Throughout the day were sold 360 kg. How many kilograms were sold in the afternoon?
Choices:
240 kg.
340 kg.
440 kg.
None
Answer: A
Question: How many ways can 5 different colored marbles be placed in 3 distinct pockets such that any pocket contains at least 1 marble?
Choices:
90
120
150
180
Answer: C
Question: Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an odd number?
Choices:
3/7
3/10
7/10
2/5
Answer: A
Question: What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 160° each?
Choices:
108 cm
120 cm
132 cm
270 cm
Answer: D
Question: How many times in a day the hands of a clock are straight?
Choices:
322
87
22
771
Answer: C
Question: Of all the homes on Gotham Street, 1/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
Choices:
b) 3/15
c) 4/5
d) 2/5
e)1/5
Answer: D
Question: what is the maximum possible remainder when a number 104^n is divided by 51 ? (Assume n be any positive integer)
Choices:
32
96
85
78
Answer: A
Question: A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :
Choices:
Rs. 15,000
Rs. 1500
Rs. 1,62,000
None of these
Answer: A
Question: 5 20 380 144020 ?
Choices:
20741616380
21741616380
22741616380
20791616380
Answer: A
Question: Three people have $26, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
Choices:
$85
$98
$101
$202
Answer: B
Question: Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets?
Choices:
60 minutes
40 minutes
30 minutes
None
Answer: A
Question: The difference between a number and its two-fifth is 510. What is 10% of that number?
Choices:
85
76
68
86
Answer: A
Question: Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 11?
Choices:
7
9
4
1
Answer: A
Question: A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price D per t-shirt that the vendor paid for these purchases?
Choices:
$12.20
$12.55
$12.70
$13.00
Answer: A
Question: The length of the longest tape in cm which can be used to measure exactly, the length 8m; 5m 60cm; and 15m is:
Choices:
35
34
36
20
Answer: D
Question: Set A: 3, w, 8, 10
Set B: 4, y, 9, 11
The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – w?
Choices:
-1
0
1
2
Answer: A
Question: The curved surface of a sphere is 64 π cm2. Find its radius?
Choices:
6
4
2
5
Answer: B
Question: H is a positive integer and 225 and 216 are both divisors of H. If H=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
Choices:
8
6
7
5
Answer: A
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 36 years now, the son's age five years back was
Choices:
13years
17years
19years
20years
Answer: A
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 114 km apart?
Choices:
3 hours
4hours
3 3/4 hours
6hours
Answer: A
Question: A certain list of 301 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
Choices:
75 and 75
70 and 75
74 and 75
70 and 80
Answer: A
Question: Find the one which does not belong to that group ?
Choices:
30
27
62
11
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Choices:
m
m
m
of these
Answer: A
Question: A train 450 m long running at 126 kmph crosses a platform in 20 sec. What is the length of the platform?
Choices:
250
350
277
232
Answer: A
Question: An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
Choices:
12.50 %
14 %
14.50 %
None
Answer: A
Question: I bought two books; for Rs.600. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
Choices:
280
189
278
350
Answer: D
Question: If the growth in production of company A from 1994 to 1995 was 25% and that from 1995 to 1996 was 60%, then what percentage growth took place from 1994 to 1996?
Choices:
75%
200%
100%
None of these
Answer: C
Question: Jack bought 150 packets of chocolate. He was able to sell 1/3 of them at a 20% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by the person after selling those 150 packets. A packet sold at a loss had a price of $9.
Please provide an intuitive answer if possible. Thanks!!
Choices:
Profit of $50
Loss of $25
Profit of $30
Loss of $35
Answer: A
Question: A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
Choices:
1640
2888
2298
2709
Answer: A
Question: Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On opening all the pipes, an empty tank is filled in 9 hours. How many inlet pipes are there?
Choices:
4
3
5
6
Answer: A
Question: There are 9 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choices:
87
89
91
93
Answer: C
Question: The Guests at a football banquet consumed a total of 337 pounds of food. if no individual guest consumed more than 2 pounds of food, What is the minimum number of guests that could have attended the banquet?
Choices:
161
162
163
169
Answer: D
Question: The grade point average of the entire class is 87. If the average of one third of the class is 95, what is the average of the rest of the class?
Choices:
82
83
84
85
Answer: B
Question: The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
Choices:
35
38
29
22
Answer: A
Question: Find the odd man out
1, 2, 5, 14, 41, 120
Choices:
14
124
120
21
Answer: C
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Choices:
40
68
88
78
Answer: C
Question: In a class,7 students like to play Basketball and 5 like to play Cricket. 3 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
Choices:
15
16
9
22
Answer: C
Question: If a quarter kg of onions costs 60 paise, how many paise will 100 gm cost?
Choices:
24 paise
56 paise
87 paise
15 paise
Answer: A
Question: In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $6. The factory holds a $80 worth stock of 12 modules. How many of the modules in the stock are of the cheaper kind?
Choices:
25
10
30
35
Answer: B
Question: If x/y = 9/8, Then (8x + 7y) / (8x â€“ 7y) = ?
Choices:
8
10
9
6
Answer: A
Question: There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
Choices:
6000
1980
1800
1450
Answer: C
Question: If 10 crates have 94 apples each and how many apples more is required in order to make 100 apples in each crate?
Choices:
10
15
20
60
Answer: D
Question: How many integers between 314,700 and 458,600 have tens digit 1 and units digit 3?
Choices:
10,030
1,353
1,352
1,439
Answer: D
Question: A patient was given four pills which he is required to take one after every thirty-five minutes.
How long can the pills run for him?
Choices:
1 hour and 20 minutes
1 hour and 45 minutes
1 hour and 15 minutes
1 hour and 42 minutes
Answer: B
Question: In a kilometer race, A beats B by 80 meters or 8 seconds. What time does A take to complete the race?
Choices:
92 sec
67 sec
16 sec
76 sec
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.5
52.1
62.6
62.1
Answer: A
Question: The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Choices:
Difference is 4
Difference is 9
Cannot be determined
None of these
Answer: A
Question: The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is
Choices:
11
12
16
17
Answer: B
Question: Jackson invested $500,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the amount he put in account P?
Choices:
$120,000
$121,072
$124,129
$130,000
Answer: B
Question: Find the principle on a certain sum of money at 5% per annum for 5 years if the amount being Rs.1120?
Choices:
896
1977
1056
1097
Answer: A
Question: An engagement team consists of a project manager, team leader, and four consultants. There are 5 candidates for the position of project manager, 8 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?
Choices:
900
980
1000
1200
Answer: C
Question: From a group of 3 signers and 3 comedians, a show organizer might select two singers and two comedians to appear one after another in the show, how many different ways an organizer can arrange the performers in the show.
Choices:
216
312
62
124
Answer: A
Question: How many different arrangements of A, B, C, D, and E are possible where B and D is not adjacent to E?
Choices:
72
32
30
1
Answer: A
Question: The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
Choices:
178.29 cm
978.29 cm
178.89 cm
176.29 cm
Answer: A
Question: An error 3% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
Choices:
6.09
6.03
6.02
6.01
Answer: A
Question: The probability of a team winning a match given Matt is playing the match is 0.70. 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 0.9.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
B)0.7
C)0.8571
D)0.926
E)0.896
Answer: C
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
Choices:
73
99
42
11
Answer: C
Question: An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it?
Choices:
9
10
11
12
Answer: A
Question: While working alone at their respective constant rates, server P uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
Choices:
2hr 20 min
2hr 40 min
5 hr 40 min
6hr
Answer: B
Question: In a flower shop there were 10 flowers in each bouquet. If the seller has doubled the number of flowers in each bouquet then the new average of flowers in each bouque is
Choices:
20
18
19
None of these
Answer: A
Question: In certain year in Country C, x sets of twins and y sets of triplets were born. If there were z total babies born in Country C in this year, and x and y were both greater than 0, which of the following represents the fraction W of all babies born who were NOT part of a set of twins or triplets?
Choices:
(2x+3y)/z
(x+y)/z
1 - (2x+3y)/z
1 - (x+y)/z
Answer: C
Question: Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years?
Choices:
306.79
306.04
306.18
306.19
Answer: B
Question: A sum of $500 amounts to 600 in 2 years at simple interest. If the interest rate is increased by 10% it would amount to how much ?
Choices:
$700
$800
$600
$300
Answer: A
Question: Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.870?
Choices:
Rs.780
Rs.750
Rs.1000
None of these
Answer: B
Question: 0.35 represents what percent of 0.007?
Choices:
0.5%
5%
500%
5000%
Answer: D
Question: At a meeting, 7 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
Choices:
72
120
144
720
Answer: D
Question: The least among the following is:
Choices:
1 ÷ 0.2
0.2 (power 2)
22/7
1
Answer: B
Question: A boat running downstream covers a distance of 24 km in 3 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?
Choices:
6 km/hr
8 km/hr
7 km/hr
None of these
Answer: C
Question: In a Olympic a country get total 222 medals. If the ratio of gold silver and bronze medals is 5:17:15. find the number of gold medals?
Choices:
25
32
15
30
Answer: D
Question: Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 9 from the product of their ages a year from today. What is their age today?
Choices:
4.
5.
7
9.
Answer: A
Question: A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number F of people surveyed by the company?
Choices:
80
F=90
F=100
200
Answer: C
Question: The product of all prime numbers less than or equal to nine are?
Choices:
210
15
55
100
Answer: A
Question: 7386038 is divisible by
Choices:
4
9
11
13
Answer: C
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 9 hours and 16 hours respectively. The ratio of their speeds is:
Choices:
4:3
7:3
9:3
4:2
Answer: A
Question: Find the number of factors E of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Choices:
2
3
4
E=6
Answer: D
Question: A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 3% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $600 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $20,000 in property taxes, but did not pay until October 15th?
Choices:
$1,800
$2,400
$21,400
$22,800
Answer: B
Question: The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 20. Find the sum :
Choices:
7500
5000
8000
None of these
Answer: C
Question: In an intercollegiate competition that lasted for 3 days, 185 students took part on day 1, 150 on day 2 and 200 on day 3. If 100 took part on day 1 and day 2 and 110 took part on day 2 and day 3 and 50 took part on all three days, how many students took part only on day 3?
Choices:
35
55
30
40
Answer: D
Question: Difference between the length &breadth of a rectangle is 20 m. If its perimeter is 206 m, then its area is?
Choices:
2500 m^2
2400 m^2
2560 m^2
2580 m^2
Answer: B
Question: The sum of ages of 4 girls born at the intervals of 3 years each is 50 years. What is the age of the youngest girl?
Choices:
years
years
years
years
Answer: A
Question: The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
Choices:
3
4
2
5
Answer: C
Question: In one day, Juan sends Keith three times as many messages as he sends Laurence, and Laurence sends Missy 5 times as many messages as he receives from Juan. If Missy received 25 messages from Laurence, how many messages does Keith receive from Juan?
Choices:
12
15
18
56
Answer: B
Question: 6 women can do 75 unit of work in 8 days by working 5hr/day in how many days 4 women do 30 units of work by working 8hr/day
Choices:
3
5
6
7
Answer: A
Question: In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 20% of the people have the job of their choice, what percent of the people have a university diploma?
Choices:
30%
55%
65%
75%
Answer: A
Question: The average height of 6 people is 67 inches. When Robert's height is included, the average increases by 2 inches. How tall is Robert in inches?
Choices:
81
69
84
67
Answer: A
Question: A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” and “low” cards to earn 7 points if you must draw exactly 5 “low” cards?
Choices:
6
3
4
5
Answer: A
Question: Lewis must answer 7 out of 10 questions on an examination. If at least 3 of the first 5 questions must be answered, how many possible combinations of 7 questions are available to lewis?
Choices:
110
90
120
130
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
Choices:
5
3
26
87
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 1/3%
96 2/3%
16 2/3%
16 3/3%
Answer: C
Question: A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]
Choices:
7/12
2/3
7/8
8/7
Answer: A
Question: In a certain game, a player begins with a bag containing tiles numbered 3 through 10, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stops. If not, the player draws a third tile—without replacing either of the first two tiles—and then stops. What is the probability that at the conclusion of the game, the sum of the tiles that the player has drawn is odd?
Choices:
5/18
3/8
5/8
23/36
Answer: A
Question: At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yelling rock on!, what are the chances that the next person who yellsrock on!will be a nerds?
Choices:
1/2
1/4
1/3
1/6
Answer: C
Question: There is one highland where planes get fuel. A plan can cover the half of the world with full tank. A plane can transfer fuel from one plane to the other in the air. How many planes are required to make one plane cover the entire world once. Starting point of the travel is the Highland and coming back to the same Highland. All the other planes giving fuels to this Plane should also come back to the same highland and they don't have to cover the entire world.
Choices:
3
4
5
6
Answer: C
Question: Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
Choices:
360 sq.m
720 sq.m
480 sq.m
None of these
Answer: D
Question: Given a square of 10cm each side with the four semi circles inside as shown in the above
diagram, find the area of the shaded portion
Choices:
55
56
57
58
Answer: C
Question: A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3. The emptying capacity of the pump is 10m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.
Choices:
40 m3/min
50 m3/min
55 m3/min
None of these
Answer: B
Question: The total circumference of two circles is 64. If the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
Choices:
6.0
6.7
10.2
18.0
Answer: C
Question: The events A and B are independent. The probability that event A occurs is u and the probability that event B occurs is v. Which of the following is equal to the probability that exactly one of the events A and B occurs?
Choices:
v − uv
u + v − 2uv
u + v − uv
u + v
Answer: C
Question: If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 18, Find x and y ?
Choices:
x=4,y=9
x=4,y=7
x=4,y=64
x=5,y=8
Answer: C
Question: In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is
Choices:
250
260
416
None
Answer: C
Question: The calendar of the year 2032 can be used again in the year?
Choices:
2060
2040
2033
2034
Answer: A
Question: Find the perimeter and area of the rectangle of length 19 cm and breadth 13 cm.
Choices:
121 cm2
141 cm2
171 cm2
247 cm2
Answer: D
Question: A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
Choices:
6 months
7 months
9 months
10 months
Answer: B
Question: A will states that the estate would be divided among six sons with the remainder donated to charity. One stipulation in the will is that no one among the sons can receive an amount within 12% of another's amount. If one of the beneficiaries received $30,000, what is the smallest possible range between the highest and lowest amounts (rounded to the nearest dollar) among the six sons?
Choices:
$14043
$7892
$17736
$15336
Answer: A
Question: Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 4/5 of the juniors is equal to 1/2 of the seniors, what fraction of the students in the room are juniors?
Choices:
11/3
5/13
12/17
17/20
Answer: B
Question: 5x + y = 19 , and x + 3y = 1. Find the value of 3x + 2y
Choices:
18
11
10
5
Answer: C
Question: A card is drawn from a pack of 52 cards. The probability of getting a queen of spade or an ace of club is:
Choices:
1/26
2/13
1/52
1/48
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 km/hr
54 km/hr
55 km/hr
59 km/hr
Answer: A
Question: There is a train and car. The ratio between the speed of a train & a car is 16:15 respectively. Also, a bus covered a distance of 320 km in 5 hours. The speed of the bus is 4/5th of the speed of the train. How many kilometers will the car cover in 7 hours?
Choices:
425
475
525
575
Answer: C
Question: In a 5 digit ID number, what is the probability of exactly 4 digits are the digit 2?
Choices:
1
11/22500
0.0081
.144
Answer: B
Question: If S = {8, 16, 24, 32, 40, 48}, what is the product of mean and median of the numbers in S?
Choices:
589
456
620
784
Answer: D
Question: There are 10 boxes numbered from 1 to 10. Either a red ball or a green ball will be placed in each box in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. How many different ways can this be done?
Choices:
49
52
55
58
Answer: C
Question: If A = x% of y and B = y% of x, then which of the following is true?
Choices:
None of these
Relationship between A and B
If x is smaller than y, then cannot be determined. A is greater than B.
A is greater than B.
Answer: A
Question: Several students are studying together for an exam. 60% of the students who studied less than 10 hours a week feel unprepared. 80% of students who studied 10 hours or more each week feel prepared. If 75% of the students studied less than 10 hours per week, what percent of the students feel prepared for the exam?
Choices:
25
30
35
50
Answer: D
Question: Mary charges $8.50 per hour to clean a house. If she works 27 hours, how much
does she earn in one week?
Choices:
$122.50
$229.50
$429.50
$312.50
Answer: B
Question: For 1rs 4p interest
wat will be for 2000rs?
Choices:
80Rs
40Rs
30Rs
48Rs
Answer: A
Question: Find the total number of divisors of 1728(including 1 and 1728)
Choices:
28
30
31
32
Answer: A
Question: A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
Choices:
40 min.
30 min.
20 min.
15 min.
Answer: B
Question: If the simple interest on a certain amount in at 4% rate 5 years amounted to Rs.2240 less than the principal. What was the principal?
Choices:
2500
2507
2800
11500
Answer: C
Question: Five years ago, the average age of A, B, C and D was 45 years. With E Joining them now, the average of all the five is 50 years. The age of E is?
Choices:
50
48
49
46
Answer: A
Question: A school currently maintains a fixed number of students per class. If the ratio of students per class were to be increased by 1, 10 fewer classes would be run for a total of 120 students. What is the current ratio E of students per class?
Choices:
E=3
6
8
12
Answer: A
Question: A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a women alone in 18 days, how long will a boy take to complete the work?
Choices:
8days
9days
7days
5days
Answer: B
Question: If n is an integer and 5^n > 50,000,000, what is the least possible value of n?
Choices:
12
9
10
11
Answer: A
Question: If a coin is tossed twice, what is the probability that the coin lands on tails on both tosses?
Choices:
1/3
1/4
1/2
1
Answer: B
Question: The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?
Choices:
102%
120%
135%
140%
Answer: A
Question: Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 55 km more than the other. What is the distance between the two stations?
Choices:
495 km
276 km
178 km
176 km
Answer: A
Question: A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 80 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
Choices:
89
95
90.91
97.2
Answer: C
Question: A single refined oil can contains 20% impurities. After double – refining it contains 4% impurities. How much of double- refined oil can be obtained from 30 litres of single refined oil?
Choices:
24.8 litres
25.0 litres
25.5 litres
35.0 litres
Answer: B
Question: In 2005, 20 percent of the math department’s 45 students were female, and in 2007, 40 percent of the math department’s 705 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Choices:
130%
211.1%
220%
260%
Answer: B
Question: Find the average of the series : 130, 160, 328, 180 and 162?
Choices:
196
190
198
192
Answer: D
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a red and the second card is black is?
Choices:
1/4
1/26
1/13
1/169
Answer: A
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Choices:
5%
2%
9%
1%
Answer: A
Question: If 0 < a < b and k = (2a + b)/b , which of the following must be true?
Choices:
k < 3
k < 9
k > 9
k > 11
Answer: A
Question: A box contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 25/36. How many marbles are in the bag?
Choices:
48
60
72
84
Answer: D
Question: Platinum is 19 times as heavy as bronze and silver is 9 times as heavy as bronze. In what ratio these two metals be mixed so that the alloy is 15 times as heavy as bronze is
Choices:
3:2
1:2
2:3
3:4
Answer: A
Question: Chauncy, an English bulldog, received 1200 votes in the Mr. Bulldog USA competition, giving him approximately 30 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 70 percent of the total votes?
Choices:
57.14%
58.14%
59.14%
60.14%
Answer: A
Question: Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?
Choices:
6888
6000
2777
27812
Answer: B
Question: The sum of three numbers is 98. If the ratio of the first to second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is
Choices:
28
30
88
287
Answer: B
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Choices:
10 a.m.
12 a.m.
9 a.m.
8 a.m.
Answer: A
Question: 80 ? 860 1550 2440 3530
Choices:
370
750
860
960
Answer: A
Question: If each number in the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is used exactly once, in how many ways can the numbers be arranged?
Choices:
3,328,500
3,428,600
3,528,700
3,628,800
Answer: D
Question: Tom can hit a target 3times in 6 shots, Karan can hit the target 2 times in 6shots & Ashwini can hit 4 times in 4 shots.What is the probability that at least 2 shots hit the target ?
Choices:
2/5
2/3
2/7
3/7
Answer: B
Question: Tough and Tricky questions: Absolute Values.
If |a| = 1/2 and |b| = 2/3, which of the following CANNOT be the result of a + b?
Choices:
-1/6
1/6
2/6
-7/6
Answer: C
Question: The sale price watches listed for Rs.4500 after successive discount is 10% and 20% is?
Choices:
3240
4320
4230
3140
Answer: A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Choices:
21 years
22 years
23 years
24 years
Answer: B
Question: A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
61
21
14
12
Answer: B
Question: Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
Choices:
12 minutes
10 minutes
15 minutes
42 minutes
Answer: A
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350 m
187 m
197 m
186 m
Answer: A
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
45%
44%
48%
49%
Answer: B
Question: The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 2700 sq m, then what is the breadth of the rectangular plot?
Choices:
17
18
101
30
Answer: D
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
350
771
176
125
Answer: A
Question: 10% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 6514, how much was it in the beginning?
Choices:
8770
8515
7999
7989
Answer: B
Question: Shekhar started a business investing Rs.25,000 in 1999.In 2000,he invested an additional amount of Rs.10,000 and Rajeev joined him with an amount of Rs.35,000.In 2001,Shekhar invested another additional amount of Rs.10,000 and Jatin joined them with an amount of Rs.35,000.What will be Rajeev’s share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999 ?
Choices:
Rs.50,000
Rs.70,000
Rs.75,000
None of these
Answer: A
Question: If a > x > y > z on the number line, y is halfway between x and z, and x is halfway between w and z, then (y - x)/(y - a) =
Choices:
1/3
1/2
3/4
1
Answer: A
Question: If 5 machines can produce 20 units in 10 hours, how long would it take 10 to produce 60 units?
Choices:
10
15
25
30
Answer: B
Question: Sami's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 15%, but the overall value of her portfolio increased. If Sami owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
Choices:
$60, $60, $60
$65, $55, $90
none of these
$25, $60, $70
Answer: C
Question: What is the total surface area in square meters of a rectangular solid whose length is 8 meters, width is 7 meters, and depth is 4 meters?
Choices:
132 m2
165 m2
152 m2
120 m2
Answer: A
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:
788
378
750
288
Answer: C
Question: Find the number of numbers from 1 to 100 which are not divisible by any one of 2,3,5,7.
Choices:
17
18
19
21
Answer: D
Question: B and C started a business by investing Rs.3300/- and Rs.8800/- respectively. Find the C’s share out of a total profit of Rs.2200:
Choices:
600
700
800
900
Answer: A
Question: On dividing 23 by a number, the quotient is 5 and the remainder is 3. Find the divisor.
Choices:
2
4
6
7
Answer: B
Question: There are 160 horses and 340 sheep on a certain farm. If 20% of the horses and 35% of the sheep are eight years old or older, what percent of the horses and sheep on the farm are under the age of eight?
Choices:
30.2%
55%
56%
69.8%
Answer: D
Question: If a + b - c =-2d, and if a - b + c = 2e, then a =
Choices:
d – e
(d + e)/2
d-2e
e-d
Answer: D
Question: How many integers between 324,700 and 387,600 have tens digit 1 and units digit 3?
Choices:
629
780
879
924
Answer: A
Question: A train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
Choices:
126 Kmph
172 Kmph
128 Kmph
19 Kmph
Answer: A
Question: If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 9, what is the least possible value of n?
Choices:
6
9
12
7
Answer: A
Question: 16 +17+18+19=70. How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10?
Choices:
200
300
400
500
Answer: A
Question: Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
Choices:
24.5
12.5
14.5
16.5
Answer: A
Question: Find the number of factors Q of 180 that are in the form (4*k + 2), where k is a non-negative integer?
Choices:
2
3
4
Q=6
Answer: D
Question: Find the reminder when 333666777888999 divided by 3 or 9 or 11
Choices:
3
4
5
6
Answer: C
Question: Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 192 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
4
Cannot be determined
None of these
Answer: B
Question: Sandy had $217 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choices:
$290
$310
$330
$350
Answer: B
Question: Peeta asks Katniss, 'It is 12 pm as per my watch right now.Do you know what will be the time 23, 999, 996 hours later?'
Katniss knows the answer. Do you ?
Choices:
9am
4am
7am
8pm
Answer: A
Question: If the tens digit of positive integers t, y are 6, how many values of the tens digit of 2(t+y) can be there?
Choices:
3
4
5
6
Answer: B
Question: A book store bought copies of a new book by a popular author, in anticipation of robust sales. The store bought 400 copies from their supplier, each copy at wholesale price A. The store sold the first 150 copies in the first week at 80% more than A, and then over the next month, sold a 100 more at 20% more than A. Finally, to clear shelf space, the store sold the remaining copies to a bargain retailer at 40% less than A. What was the bookstore’s net percent profit or loss on the entire lot of 400 books?
Choices:
10% loss
10% profit
20% profit
60% profit
Answer: C
Question: If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
Choices:
100
121
141
1000
Answer: B
Question: Calculate the area of a triangle, if the sides of are 52 cm, 48 cm and 20 cm, what is its area?
Choices:
480 cm2
380 cm2
180 cm2
280 cm2
Answer: A
Question: If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Choices:
15%
20%
25%
None
Answer: B
Question: In front of you lies a figure made up with 20 x 10 square blocks. Will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares?
Choices:
11550
12654
26537
32651
Answer: A
Question: Pipe A can fill the tank in 30 minutes and pipe B in 20min and pipe C can empty the tank in 90 minutes. How long it will take to fill the tank if three of the pipes are operating together?
Choices:
12.0
13.1
13.85
15.2
Answer: C
Question: The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is -.
Choices:
23
119
120
None of these
Answer: B
Question: A restaurant meal cost $24.6 and there was no tax. If the tip was more than 20 percent but less than 18 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$29 and $29
$38 and $40
$37 and $39
$36 and $37
Answer: A
Question: Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.825.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Choices:
Rs.5358
Rs.3370
Rs.4358
Rs.3358
Answer: A
Question: Gary is 15 years younger than Simon, and Kim is twice as old as Gary. If S is Simon’s age and K is Kim's age, what is the relationship between K and S?
Choices:
K = 2S + 10
K = 2S - 30
K = 2S − 10
K = 2S − 5
Answer: B
Question: In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is?
Choices:
78
86
88
90
Answer: B
Question: If the integer d is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when d is rounded to the nearest ten. which of the following is a possible value of d?
Choices:
64
99
133
147
Answer: A
Question: If Juan takes 14 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Choices:
14x/y
x/(14y)
14/(xy)
xy/14
Answer: A
Question: If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Choices:
120 cm2
128 cm2
110 cm2
220 cm2
Answer: A
Question: In a camp, there is a meal for 140 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
35 men
30 men
None of these
Answer: B
Question: The average of first five multiples of 3 is?
Choices:
9
8
6
3
Answer: A
Question: When 21 is divided by positive integer j, the remainder is 6. For how many values of j is this true?
Choices:
1
5
7
9
Answer: A
Question: A is thrice as good a work man as B and together they finish a piece of work in 12 days.The number of days taken by A alone to finish the work is :
Choices:
14 days.
12 days.
16 days.
18 days.
Answer: C
Question: A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3100, A will get:
Choices:
Rs.1500
Rs. 1860
Rs.2000
None of these
Answer: B
Question: A man in a train travelling at 24km/hr notices that a train going in the opposite direction passes him in 10 sec.If the length of this train is 220m find its speed .
Choices:
40 km/hr
55 km/hr
60 km/hr
70 km/hr
Answer: B
Question: Given f(x) = 2x – 3, for what value of x does 2*[f(x)] – 21 = f(x – 4) ?
Choices:
2
4
6
8
Answer: D
Question: In division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 3 as quotient. What the correct quotient?
Choices:
12
13
20
None of these
Answer: C
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Choices:
8 hours
3 hours
1 hours
2 hours
Answer: B
Question: The speed of a boat in still water is 80kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Choices:
kmph
kmph
kmph
kmph
Answer: C
Question: A train 385 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Choices:
6
21
8
9
Answer: B
Question: The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 13 and 14. The larger of the two numbers is:
Choices:
299
322
345
355
Answer: B