antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a certain group of 10 members, 5 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Choices:
50
64
80
110
Answer: D
Question: A machine, working at a constant rate, manufactures 18 dies in 25 minutes. How many dies does it make in 1 hr 15 min?
Choices:
53
54
52
50
Answer: B
Question: If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?
Choices:
100d + 25e
125de
d + 25e
125/(de)
Answer: C
Question: If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
Choices:
4:3
64:27
3:4
3:8
Answer: A
Question: Rodrick mixes a martini that has a volume of 'n' ounces having 38% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
Choices:
n/3
13n/25
5n/6
8n/5
Answer: B
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1250 resolutions?
Choices:
704 m
454 m
1860 m
1760 m
Answer: D
Question: A man walking at a constant rate of 9 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour. The woman stops to wait for the man 3 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
Choices:
2
3
4
5
Answer: A
Question: Let S be the set of all positive integers n such that n^2 is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S ?
Choices:
12
120
72
182
Answer: A
Question: A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different arrangements Q of plays can be run, if the same play can’t be run more than once?
Choices:
125
243
504
729
Answer: C
Question: An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 60 km. How long did it take to reach its destination 600 km from the starting point ?
Choices:
6 hrs 28 min
2 hrs 28 min
6 hrs 28 min
6 hrs 36 min
Answer: D
Question: A machine, working at a constant rate, manufactures 20 candles in 40 minutes. How many candles does it make in 1 hr 20 min?
Choices:
30
40
45
50
Answer: B
Question: When 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.168?
Choices:
5
4
3
8
Answer: A
Question: The average weight of 5 person's increases by 5.5 kg when a new person comes in place of one of them weighing 68 kg. What might be the weight of the new person?
Choices:
95.5 kg
80 kg
85 kg
90 kg
Answer: A
Question: The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
Choices:
2:9
1:9
3:7
3:4
Answer: B
Question: How many zeros does 50! end with?
Choices:
24
25
12
32
Answer: C
Question: In a family 4 people eat only vegetarian, 3 people eat only non veg., 2 people eat both veg and non veg.. How many people are in the family?
Choices:
3
10
2
9
Answer: D
Question: A train running at a speed of 36 km/h passes an electric pole in 15 seconds. In how many seconds will the whole train pass a 370-meter long platform?
Choices:
48
50
52
54
Answer: C
Question: If q = 25! + 1, which of the following cannot be a prime factor of q?
I. 11
II. 19
III. 23
Choices:
III only
II and III
I and II
I​, II, and III
Answer: D
Question: A bike covers a certain distance at the speed of 67km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Choices:
89.33 km/h
87.67 km/h
90.25 km/h
90.64 km/h
Answer: A
Question: A student committee that must consists of 5 members is to be formed from a pool of 8 candidates. How many different committees are possible
Choices:
8
40
56
336
Answer: C
Question: 4 men&6women finish a job in 8days, while 3men&7women finish it in 10 days. In how many days will 10 women working together finish it ?
Choices:
40 days
60 days
70 days
90 days
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 W of students per class?
Choices:
W=3
6
8
12
Answer: A
Question: If you have 6 black socks, 4 blue socks, 8 brown socks, and 2 red socks in your sock drawer, what is the minimum number of socks that you need to pull out in the dark to be sure you had a matching pair?
Choices:
five
8
9
2
Answer: A
Question: Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Choices:
70000
72000
78000
80000
Answer: B
Question: The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
Choices:
12%
15%
25%
14%
Answer: B
Question: A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Choices:
4:2
4:3
4:4
4:1
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 48 years now, the son's age five years back was?
Choices:
19years
20years
21years
22years
Answer: A
Question: What will be the result of 12/2 + 4/2 -3^5 +8 all this multiplied by 5?
Choices:
98
5
9
0
Answer: B
Question: The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?
Choices:
71
66
16
18
Answer: A
Question: Train X departs from station A at 11 a.m. for station B, which is 180 km so far. Train Y departs from station B at 11 a.m. for station A. Train X travels at an average speed of 70 km/hr and does not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50 km/hr, but has to stop for 15 min at station C, which is 60 km away from station B enroute to station A. Ignoring the lengths of the trains, what is the distance, to the nearest kilometre, from station A to the point where the trains cross each other?
Choices:
112 km
120 km
None of these
Cannot be determined
Answer: A
Question: If 0 < p < 1 < q< 3, which of the following must be less than 1?
I.	p/q
II.	pq
III.	q - p
Choices:
I only
II only
III only
II,III only
Answer: A
Question: A train , 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel (in meters)?
Choices:
500
300
200
250
Answer: A
Question: For a bake sale, Simon baked 2n more pies than Theresa. Theresa baked half as many pies as Roger, who baked 1313n pies. No other pies were baked for the sale. What fraction of the total pies for sale did Roger bake?
Choices:
1/8
3/16
3/8
13/16
Answer: A
Question: In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $15 and the other one, that is cheaper, costs $10. The factory holds a $140 worth stock of 13 modules. How many of the modules in the stock are of the cheaper kind?
Choices:
25
30
11
35
Answer: C
Question: A contractor undertakes to built a walls in 50 days. He employs 30 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time?
Choices:
30
45
20
None of these
Answer: B
Question: Every day, the value of a stock rises by exactly two dollars in the morning, and
then falls by exactly one dollar in the afternoon. If the stock's value at the start of the rst
day is $100, on what day will the stock's value rst reach $200?
Choices:
99
100
101
200
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Choices:
88
40
99
81
Answer: B
Question: The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.
Choices:
21, 37
15, 34
15, 27
None of these
Answer: C
Question: A number is increased by 20 % and then decreased by 20 %. Find the net increase or decrease per cent.
Choices:
8%
7%
3%
4%
Answer: D
Question: In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 184 votes. Find the total number of valid votes?
Choices:
438
436
434
460
Answer: D
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 210 sq. feet, how many feet of fencing will be required?
Choices:
41
68
88
None
Answer: A
Question: Two trains A and B are 200 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
Choices:
6 s
14 s
8 s
12 s
Answer: B
Question: An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
Choices:
3000
7282
2782
2729
Answer: A
Question: A company D has 15 percent of the employees are secretaries and 10 percent are salespeople. If there are 120 other employees of Company D, how many employees does Company D have?
Choices:
160
180
152
250
Answer: A
Question: Oak trees line both sides of a street for a length of 6/8 of a kilometer. If there is 16 meters of space between the trees, and each tree is 1 meter wide, how many trees are there along the street?
Choices:
b)	23
c)	24
d)	45
e)	46
Answer: C
Question: 1397 x 1397 = ?
Choices:
1851609
1951619
1951609
1851619
Answer: C
Question: Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 3 hours, how long after he passed the gas station did Paul catch up with Mary?
Choices:
1.3
1.25
1.6
2
Answer: B
Question: If the compound interest on a sum of Rs.5000 at the rate of 10% per annum is Rs.1050, then time period is (Interest compounded yearly)
Choices:
21/2 YRS
3 YRS
2 YRS
4 YRS
Answer: C
Question: The cube root of .000216 is:
Choices:
0.06
77
67
87
Answer: A
Question: Fom the integer n, if n*n*n is odd, then what is true from below options?
Choices:
n is odd and n*n is even
n is even
n*n is odd
n*n is even
Answer: A
Question: The value of (4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31) is :
Choices:
47
470
4700
None of these
Answer: B
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
2600
2435
3000
3158
Answer: D
Question: A box contains ten bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that exactly two bulbs are good?
Choices:
10/21
9/21
8/21
5/21
Answer: A
Question: Evaluate: 1234562- 12*3*2 = ?
Choices:
1234554
76768786
97979797
75868656
Answer: A
Question: Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 972 as interest at the end of the loan period, what was the rate of interest?
Choices:
6
18
Cannot be determined
None of these
Answer: D
Question: What is the area of square field whose side of length 18 m?
Choices:
777
266
288
324
Answer: D
Question: A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Choices:
150 m
208 m
988 m
299 m
Answer: A
Question: The perimeter of one face of a cube is 40 cm. Its volume will be:
Choices:
400cm3
250cm3
1000cm3
None of these
Answer: C
Question: A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.7 per sq m?
Choices:
4725
4328
4329
4829
Answer: A
Question: The ratio of male to female in a class is 2:3. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one fourth of the males and 3/4th of the females in the class?
Choices:
b) 198 degree
c)191 degree
d)192 degree
e)204 degree
Answer: A
Question: A strain of bacteria reproduces @ 25% every 12 min. In how much time will it triple itself ??
Choices:
72 min
60 min
48 min
40 min
Answer: B
Question: Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
Choices:
50
85
25
28
Answer: A
Question: A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 7:00 a.m., at what time was it one-eighth full?
Choices:
7:00 a.m.
6:00 a.m.
4:00 a.m.
2:00 a.m.
Answer: B
Question: A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points W that an individual player might have scored?
Choices:
13
16
21
23
Answer: D
Question: What least value should be replaced by * in 223431* so the number become divisible by 5
Choices:
0
5
6
7
Answer: A
Question: If x is the sum of a consecutive positive integers. y is the sum of b consecutive positive integers. For which of the following values of a and b is it impossible that x = y?
Choices:
a = 3; b = 6
a = 7; b = 9
a = 10; b = 4
a = 10; b = 7
Answer: C
Question: How many four letter words are formed using the letters of the word PRESS?
Choices:
B)60
C)90
D)120
E)150
Answer: C
Question: If a<0, which of the following represents a positive number?
Choices:
-a|a|
a|a|
|a|/a
|a|a
Answer: A
Question: A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Choices:
10 years
77 years
88 years
55 years
Answer: A
Question: ABCD is a square. F and E are the midpoints of sides AD and CD, respectively. The area of triangle FED is 2 square inches. What is the area of square ABCD (in square inches)?
Choices:
8
16
32
64
Answer: B
Question: What is the difference between the largest number and the least number written with the digits 9, 2, 1, 5?
Choices:
3788
2077
8262
1812
Answer: C
Question: A tradesman by means of his false balance defrauds to the extent of 25%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Choices:
77%
44%
56.25%
47%
Answer: C
Question: 33 1/3% of 36?
Choices:
21
18
12
18
Answer: C
Question: The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 256,000 locusts?
Choices:
12
16
15
11
Answer: A
Question: If the price of a TV is first decreased by 20% and then increased by 30%, then the net change in the price will be :
Choices:
4% increase
10% decrease
6% increase
None of these
Answer: A
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
20
30
40
50
Answer: A
Question: 286, 462, 362, 527, 671, 253
Choices:
462
352
537
671
Answer: C
Question: In a family 15 people eat only vegetarian, 8 people eat only non veg., 11 people eat both veg and non veg.. How many people eat veg in the family?
Choices:
11
23
26
21
Answer: C
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
375
Answer: B
Question: If a 10 percent deposit that has been paid toward the purchase of a certain product is $130, how much more remains to be paid?
Choices:
$990
$1,000
$1,170
$1,210
Answer: C
Question: College T has 1000 students. Of the 180 students majoring in one or more of the sciences,120 are majoring in Chemistry and 120 are majoring in Biology. If at least 20 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?
Choices:
60 to 130
50 to 100
70 to 110
60 to 120
Answer: D
Question: A sells a bicycle to B and makes a profit of 20%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
Choices:
126
971
611
150
Answer: D
Question: What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 1?
Choices:
6
30
32
48
Answer: A
Question: What is the smallest positive integer which when increased by 1 is divisible by 22, 36, 26 and 21?
Choices:
36035
122149
22362621
4109
Answer: A
Question: A wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches. What is the area of the wall photo, in square inches?
Choices:
96
108
144
118
Answer: A
Question: What was the day of the week on 17th June, 1998?
Choices:
Tuesday
Friday
Wednesday
Suturday
Answer: C
Question: In a class of 25 students, 3 students did not borrow any books from the library, 11 students each borrowed 1 book, 6 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Choices:
13
14
15
16
Answer: C
Question: Two trains 180m and 360m long run at the speed of 60kmph and 30kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choices:
21.6sec
10.8sec
12.6sec
15sec
Answer: A
Question: The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Choices:
2669
3600
1279
1271
Answer: B
Question: Calculate the largest 4 digit number which is exactly divisible by 98?
Choices:
9898
9702
9604
9996
Answer: D
Question: When positive integer g is divided by 6, the remainder is 1. Which of the following must be true?
I. g is a prime number
II. g is odd
III. g is divisible by 7
Choices:
II only
III only
I and II only
II and III only
Answer: A
Question: The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
777
282
266
225
Answer: D
Question: How many pieces of 75 cm can be cut from a rope 57 meters long?
Choices:
40
76
None
Cannot be determined
Answer: B
Question: Each of the products produced yesterday was checked by worker x or worker y. 0.5% of the products checked by worker x are defective and 0.8% of the products checked by worker y are defective. If the total defective rate of all the products checked by worker x and worker y is 0.7%, what fraction of the products was checked by worker y?
Choices:
2/3
7/8
4/5
5/8
Answer: A
Question: The salary of Charan was reduced by 10%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
11.11%
11.5%
13%
None of these
Answer: A
Question: A certain college party is attended by both male and female students. The ratio of male to female students is 4 to 5. If 15 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Choices:
70
80
90
100
Answer: C
Question: The length of a cold storage is double its breadth. Its height is 3 metres. The area of its four walls(including doors) is 108 m2. Find its volume.
Choices:
216
226
246
288
Answer: A
Question: A can contain a mixture of two liquids A and B in the ratio 7:5 when 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?
Choices:
21 litres
45 litres
36 litres
None of these
Answer: A
Question: A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
Choices:
37
25
28
40
Answer: A
Question: Two persons , Ram & Lakshman , who are at a distance of 100 km from each other, move towards each other from two places P and Q at speeds of 20 kmph and 25 kmph respectively. Lakshman reaches P, returns immediately and meets Ram at R, who started on the return journey to P immediately after reaching Q. What is the distance between Q and R?
Choices:
33 1/3 km
30km
27 1/3 km
28 1/3 km
Answer: A
Question: If f(x) = (x^2 - 1)/(x), what is f(1/x) in terms of f(x)?
Choices:
-1*f(x)
1/f(x)
-1/f(x)
2*f(x)
Answer: A
Question: Two watches are set for an alarm at 10 0'clock in the night. One watch gains 2 minutes per hour. When the faster watch shows 4:12 in the morning when the alarm rings what does the correct watch show?
Choices:
4:00
4:10
5:20
6:00
Answer: A
Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is :
Choices:
45 kg
47 kg
48 kg
49 kg
Answer: A
Question: which of the following inequalities indicates the set of all values of d for which the lengths A of the three sides of a triangle can be 3,4, and d?
Choices:
0<d<5
0<d<7
1<d<5
1<d<7
Answer: D
Question: A train 125 m long passes a man, running at 9 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
65 km/hr
87 km/hr
Answer: B
Question: Simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time, If both are numerically equal.
Choices:
8
5
4
2
Answer: A
Question: if a die has 1 6 and 3 4 and 2 5 opposite each other how many such dies can be made
Choices:
11
12
13
14
Answer: B
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train ?
Choices:
27 7/9
29 7/9
30 7/9
None of these
Answer: A
Question: If log1087.5 = 6.9421, then the number of digits in (875)10 is?
Choices:
28
80
26
25
Answer: B
Question: Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 670 then loss of Pyarelal?
Choices:
603
800
903
1000
Answer: A
Question: What is the sum of all remainders obtained when the first 120 natural numbers are divided by 9?
Choices:
401
403
405
399
Answer: C
Question: A can do a piece of work in 12 days. He worked for 15 days and then B completed the remaining work in 10 days. Both of them together will finish it in.
Choices:
15 1/2 days
15 1/2 days
16 1/2 days
12 1/2 days
Answer: D
Question: What should be added to 4440 so that it may become a perfect square?
Choices:
45
46
47
49
Answer: D
Question: The average weight of a group of boys is 20 kg. After a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Choices:
12
18
24
10
Answer: A
Question: The sides of a rectangular field are in the ratio 3 : 4. If the area of the field is 9408 sq. m, the cost of fencing the field @ 25 paise per metre is
Choices:
Rs. 67.50
Rs. 86.50
Rs. 98.00
None of these
Answer: C
Question: A 600 meter long train crosses a signal post in 20 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
2 min
8 min
9 min
5 min
Answer: A
Question: If the speed of a man is 66 km per hour, then what is the distance traveled by him in 30 seconds ?
Choices:
550m
375 m
420 m
440 m
Answer: A
Question: In a family gathering, there is a basket in which there are oranges, bananas and apples. Half of the people in the family eat oranges, half of the other half eat bananas and the rest eat apples. If the number of people who eat oranges are 10 less than the total number of people, find the number of people in the gathering.
Choices:
10
15
20
25
Answer: C
Question: A cistern is filled by a tap in 6 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how many hours will it take the leak to empty it?
Choices:
85
88
91
95
Answer: C
Question: A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 4, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to find the correct number in at most 2 attempts is closest to which of the following ?
Choices:
2/625
4/625
50/625
25/625
Answer: C
Question: A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 210, how much must C pay as his share of rent?
Choices:
50
54
65
none
Answer: B
Question: If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 3410 , R will receive
Choices:
660
800
900
None of these
Answer: A
Question: Three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ?
Choices:
7 m
42 m
63 m
None of these
Answer: A
Question: Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?
Choices:
60 km/h
40 km/h
20 km/h
10 km/h
Answer: C
Question: A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.625 in all. Find the share of B?
Choices:
130
218
140
145
Answer: A
Question: In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12. If the shop carries 375 dogs and bunnies total in stock, how many dogs are there?
Choices:
66
75
112
154
Answer: B
Question: If f(a)=5b, what is the value of (f(a)-f(6b)) ?
Choices:
25b
6a-6b
3a+2b
52a
Answer: A
Question: The sum of two numbers is 16. The difference is 2. What are the two numbers?
Choices:
8-8
9-7
11-5
13-3
Answer: B
Question: Insert the missing number
4, -12, 36, -108, 324, (....)
Choices:
-972
452
-452
0
Answer: A
Question: A certain amount earns simple interest of 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
Choices:
245
350
Cannot be determined
None
Answer: C
Question: A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in?
Choices:
88 days
21 days
11 days
13 days
Answer: B
Question: If below equations are true,
24 $ 6 = 64
35 $ 5 = 87
63 $ 7 = 99
Then based on similar logic what's the value of below equation
88 $ 8 = ?
Choices:
1129
3186
2311
1611
Answer: D
Question: A 50 kg metal bar made of alloy of tin and silver lost 5 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water; 5 kg of silver loses 0.375 kg. What is the ratio of tin to silver in the bar?
Choices:
2/5
1/2
3/5
2/3
Answer: D
Question: The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Choices:
10 a.m
77 a.m
55 a.m
65 a.m
Answer: A
Question: In an examination 65% failed in Math and 35% failed in French. If 22% failed in both. What % of students passed in both.
Choices:
22%
20%
30%
10%
Answer: A
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
3/4
4/5
Answer: A
Question: Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
Choices:
32%
34%
35%
44%
Answer: D
Question: The speed of a car is 100 km in the first hour and 60 km in the second hour. What is the average speed of the car?
Choices:
65 kmph
75 kmph
80 kmph
90 kmph
Answer: C
Question: ((-1.9)(0.6) – (2.6)(1.2))/2.0 = ?
Choices:
1.0
1.07
1.71
-2.13
Answer: D
Question: When the no.7y86038 is exactly divisible by 11, then the smallest whole no.in place of y?
Choices:
3
5
7
8
Answer: A
Question: A seller purchased some mangoes for Rs 800 and some apples for Rs. 900. He sold the mangoes at a loss of 4 percent and apples at a profit of 10 percent. Overall he make a.?
Choices:
58
56
60
50
Answer: A
Question: Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10%, what should be the SP?
Choices:
450
550
590
600
Answer: B
Question: John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination. How many miles did John drive?
Choices:
245 miles.
240 miles.
265 miles.
275 miles.
Answer: B
Question: Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 years. He lent this sum to Sunil at the same rate of interest compounded annually for the same period. At the end of two years, he received Rs. 2400 as compound interest but paid Rs. 2000 only as simple interest. Find the rate of interest.
Choices:
40%
20%
10%
5%
Answer: A
Question: Solve x^2 – 7x = 0
Choices:
(0,7)
(0,2)
(0,5)
(0,6)
Answer: A
Question: If X is the least common multiple of 90,196, and 300, which of the following is NOT a factor of X?
Choices:
600
900
2,100
4,900
Answer: A
Question: A number whose fifth part increased by 2 is equal to its fourth part diminished by 2 is ?
Choices:
80
200
220
None
Answer: A
Question: A football player scores 3 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be
Choices:
6
8
11
12
Answer: C
Question: A heap of coconuts is divided into groups of 2, 3 and 7 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61
Choices:
B)43
C)51
D)61
E)71
Answer: A
Question: If b is an integer greater than 6, which of the following must be divisible by 3?
Choices:
b (b+2) (b-1)
b (b+1) (b-4)
b (b+4) (b-2)
b (b+5) (b-6)
Answer: B
Question: If 144/0.144 = 14.4/x, then the value of x is:
Choices:
1.
-1.
-2.
0
Answer: A
Question: The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 15. What is the last numbers?
Choices:
4
6
5
7
Answer: B
Question: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
Choices:
2.88
2.85
2.81
2.82
Answer: A
Question: If f(x) = 3x − √x and g(x) = x^2, what is f(g(2))?
Choices:
10
16
32
44
Answer: A
Question: How many possible ways are there to select 2 stocks at random from 8 stocks?
Choices:
28
30
32
34
Answer: A
Question: The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by
Choices:
0.021%
2.1%
21%
None
Answer: B
Question: In the Biotechnology class of 2000, there were C graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is C equal to?
Choices:
71.
73.
75.
76.
Answer: B
Question: A, B and C can do a work in 6 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choices:
2 2/3
2 2/0
2 2/2
2 2/1
Answer: A
Question: A can do a piece of work in 5 days and B can do it in 4 days how long will they both work together to complete the work?
Choices:
8/9
7/9
2/9
10/11
Answer: C
Question: If a 3-member subcommittee is to be formed from a certain 10-member committee, how many different such subcommittee are possible?
Choices:
18
20
120
216
Answer: C
Question: How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together vowels are never together?
Choices:
2540
2130
4510
4320
Answer: D
Question: On an article ,the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25%, If its retail price is 1265, what is the cost of its production?
Choices:
800
1100
900
700
Answer: A
Question: The timing of a college is from 12 p.m to 4.20 p.m. Five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. Find the duration of each lecture.
Choices:
66 minutes
88 minutes
48 minutes
218 minutes
Answer: C
Question: Choose the missing terms out of the given alternatives.
AZ, BY, CX, DW, EV, FU, GT?
Choices:
HS
ED
DW
KN
Answer: A
Question: Roy is now 6 years older than Julia and half of that amount older than Kelly. If in 4 years, Roy will be twice as old as Julia, then in 4 years what would be Roy’s age multiplied by Kelly’s age?
Choices:
84
90
96
108
Answer: D
Question: Ahok will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
Choices:
5
9
24
26
Answer: A
Question: Tough and Tricky questions: Number Properties.
What is the smallest positive integer x such that 225x is the cube of a positive integer?
Choices:
15
30
60
90
Answer: A
Question: If ay > 0 and yz < 0, which of the following must be negative:
Choices:
ay(z^2)
a(y^2)z
x(y^2)(z^2)
(x^2)(y^2)(z^2)
Answer: B
Question: By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
Choices:
25%
28%
29%
21%
Answer: A
Question: How many numbers from 10 to 46 are exactly divisible by 3?
Choices:
12
16
17
18
Answer: A
Question: How much time will an express train of length 200 m moving at a speed of 72 kmph take to cross another express train of length 300 m, moving at 36 kmph in the same direction?
Choices:
sec
sec
sec
sec
Answer: A
Question: Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 17 boys and 43 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Choices:
5
6
8
10
Answer: A
Question: In a weight-lifting competition, the total weight of Joe's two lifts was 900 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Choices:
275
325
350
400
Answer: D
Question: Find the invalid no.from the following series 3, 8, 15, 31, 63, 127, 255
Choices:
8
27
63
127
Answer: A
Question: 7/10 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is
Choices:
41%
60%
72%
78%
Answer: B
Question: In an election between two candidates, the winner has a margin of 10% of the votes polled. If 2000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Choices:
20000
24000
23000
22000
Answer: A
Question: John has Rs 360 for his expenses. If he exceeds his days by 4 days he must cut down daily expenses by Rs 3. The number of days of John 's tour program is
Choices:
15
20
24
27
Answer: B
Question: A sock drawer contains eight socks, each one a different solid color. The colors of the socks are red, orange, white,yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out two socks, how many different color combinations are possible in the selected pair of socks?
Choices:
15
21
36
28
Answer: D
Question: What will be the fraction of 75%
Choices:
3/4
1/10
1/11
None of above
Answer: A
Question: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
Choices:
3/10
2/5
3/7
1/6
Answer: A
Question: A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Choices:
1/10
7/15
8/15
2/13
Answer: C
Question: If y is the smallest positive integer such that 4410 multiplied by y is the square of an integer, then y must be
Choices:
5
6
7
10
Answer: D
Question: If the perimeter of a rectangular garden is 600 m, its length when its breadth is 150 m is?
Choices:
150 m
200 m
276 m
971 m
Answer: A
Question: A 6% stock yields 8%. The market value of the stock is:
Choices:
Rs. 75
Rs. 96
Rs. 133.33
Rs. 122
Answer: A
Question: Find the average of all numbers between 1 and 76 which are divisible by 5
Choices:
40
25
30
35
Answer: A
Question: For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [5]*[8] equivalent to?
Choices:
[60]
[80]
[120]
[150]
Answer: C
Question: If a > 1, which of the following is equal to (2a - 2)/(a^2 + 2a - 3)?
Choices:
a + 3
2/(a - 1)
2/(a + 3)
(a - 1)/2
Answer: C
Question: Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?
Choices:
20
30
40
50
Answer: B
Question: Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?
Choices:
16 hours
17 hours
18 hours
19 hours
Answer: B
Question: The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 24 kmph, find the speed of the stream?
Choices:
6 kmph
8 kmph
10 kmph
12 kmph
Answer: B
Question: What range of values of 'x' will satisfy the inequality 15x - 2/x > 1?
Choices:
x < 1/3
-1/3 < x < 0.4, x > 15/2
-1/3 < x < 0, x > 2/5
x < --1/3 or x > 2/5
Answer: C
Question: A train of length 330 meters crosses a platform of length 550 meters in 44 seconds. What is the speed of the train?
Choices:
76
5
4
3
Answer: D
Question: In a jar there are 28 white balls, 32 green balls and 41 blue balls. How many balls must be taken out in order to make sure we have 30 balls of the same color?
Choices:
b)	46
c)	57
d)	66
e)	67
Answer: C
Question: When 23 is divided by the positive integer k, the remainder is 3, for how many different values of k is this true?
Choices:
2
3
4
5
Answer: C
Question: Tough and Tricky questions: Ratios
3/5 of a certain class left on a field trip. 2/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
Choices:
2/3
11/15
23/30
4/5
Answer: A
Question: A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 7 hours of the journey.
Choices:
352 km
252 km
742 km
382 km
Answer: B
Question: John has 10 pairs of matched socks. If he loses 11 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choices:
6
5
4
3
Answer: C
Question: How many 3-letter words can be formed out of the letters of the word ‘CORPORATION’, if repetition of letters is not allowed?
Choices:
336
266
259
297
Answer: A
Question: The price of the jewel, passing through three hands, rises on the whole by 62%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Choices:
8
5
2
30
Answer: A
Question: What is the value of 8 1/3% of 600+ 37 ½ of 400
Choices:
300
150
200
250
Answer: C
Question: If one-third of one-fourth of a number is 15, then three-tenth of that number is:
Choices:
40
50
54
64
Answer: C
Question: Sam purchased 20 dozens of toys at t he rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
4.5
5.6 percent
6.5
None
Answer: B
Question: A pump can fill a tank with water in 5 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
Choices:
16hr 20min
17hr 30min
15hr
14hr 25min
Answer: B
Question: what is the least number. which should be added to 221 to make it a perfect square?
Choices:
8
4
6
7
Answer: B
Question: How many numbers from 10 to 100 are exactly divisible by 9?
Choices:
10
14
16
18
Answer: A
Question: A person incurs 5% loss by selling a watch for $1140 . At
what price should the watch be sold to earn 5% profit?
Choices:
1150
1260
1260
1360
Answer: B
Question: 12,21,48,87,__
Choices:
186
184
174
164
Answer: A
Question: In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 9,000 have been vaccinated against both, how many have been vaccinated only against rubella?
Choices:
18,000
10,000
15,000
17,500
Answer: A
Question: A farm has only chickens and pigs. When the manager of the farm counted the heads of the animals on the farm, the number totaled up to 95. When the number of legs was counted, the number totaled up to 274. How many more chickens than pigs are there on the farm? Note: Each pig has 4 legs and each chicken had 2 legs.
Choices:
8
9
10
11
Answer: D
Question: g(x) is defined as the product of all even integers k such that 0 < k ≤ x. For example, g(14) = 2 × 4 × 6 × 8 × 10 × 12 × 14. If g(a) is divisible by 4^11, what is the smallest possible value for a?
Choices:
24
28
32
44
Answer: A
Question: In the Excel Manufacturing Company, 46 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
Choices:
90%
66.7%
50%
36%
Answer: A
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -
Choices:
1/36
1/37
1/31
1/30
Answer: A
Question: If an article is sold at 12% profit instead of 16% profit, then the profit would be Rs. 105 less. What is the cost price?
Choices:
Rs.4000
Rs. 3500
Rs.4500
Rs.6000
Answer: A
Question: The average age of an adult class is 40years. 10 new students with an avg age of 32years join the class. Therefore
decreasing the average by 4year. Find what was the original strength of class?
Choices:
10
16
20
22
Answer: A
Question: A certain musical scale has has 13 notes, each having a different frequency, measured in cycles per second. In the scale, the notes are ordered by increasing frequency, and the highest frequency is twice the lowest. For each of the 12 lower frequencies, the ratio of a frequency to the next higher frequency is a fixed constant. If the lowest frequency is 550 cycles per second, then the frequency of the 7th note in the scale is how many cycles per second?
Choices:
550 * sqrt 2
550 * sqrt (2^12)
550 * the twelfth root of (2^7)
550 * the seventh root of (2^12)
Answer: A
Question: Two cars are driving towards one another. The first car is traveling at a speed of 120 Km/h, which is 28% faster than the second car. If the distance between the cars is 855 Km, how long will it takes the cars to meet (in hours)?
Choices:
3.
3.5
4.
4.5.
Answer: C
Question: A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 330 items for $150 each, what will her monthly salary be?
Choices:
$1,800
$2,100
$2,500
$4,150
Answer: D
Question: Three friends had dinner at a restaurant. When the bill was received, Akshitha paid 1/3 as much as Veena paid and Veena paid 1/2 as much as Lasya paid. What fraction of the bill did Veena pay ?
Choices:
3/12
3/11
3/10
3/14
Answer: C
Question: A man goes downstream at 15 kmph, and upstream8 kmph. The speed of the stream is
Choices:
3.5kmph
16kmph
2.5kmph
26kmph
Answer: A
Question: Difference between the length &breadth of a rectangle is 15 m. If its perimeter is 302 m, then its area is?? We have: (l - b) = 15 and 2(l + b) = 302 or (l + b) = 151?
Choices:
5464 m^2
5644 m^2
5434 m^2
5344 m^2
Answer: B
Question: What is the perimeter of a square with area 9p^2/64 ?
Choices:
3p/2
3p
3p^2
4p/3
Answer: A
Question: Which number is the odd one out?
9654 4832 5945 7642 7963 8216 3649
Choices:
6549
3729
3649
5416
Answer: C
Question: A train passes a station platform in 40 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:
200 m
240 m
300 m
None
Answer: C
Question: How many integers between 3000 and 4000 that have distinct digits and increase from left to right ?
Choices:
20
60
120
600
Answer: A
Question: A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 37380
. What percentage of profit did he make?
Choices:
68%
40%
70%
90%
Answer: A
Question: The least number by which 72 must be multiplied in order to produce a multiple of 112, is
Choices:
12
14
18
20
Answer: B
Question: On final examination a student's average (arithmetic mean) score on 4 subjects is 90. What must be his score on a 5th subject for his average score on the 5 subjects to be 92?
Choices:
70
80
90
100
Answer: D
Question: If n is a natural number, then(6n^2+6n) is always divisible by?
Choices:
6 and 12 both
12 only
by 18 only
None of these
Answer: A
Question: Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 5w widgets.
Choices:
6
8
30
12
Answer: C
Question: In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
Choices:
36,000 votes
168,000
240,000
300,000
Answer: A
Question: Factor | Percent of Respondents |
User-friendly | 56% |
Fast response time | 48% |
Bargain prices | 42% |
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,600 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”
Choices:
336
360
384
416
Answer: D
Question: A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 40% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
Choices:
40%
25%
28%
33.33%
Answer: A
Question: If x is the median of the set {8/2, 11/3, 27/9, 21/5, x}, x could be
Choices:
4
16/5
30/7
31/7
Answer: A
Question: If a fair die is rolled three times, what is the probability that a 3 occurs on at least one roll?
Choices:
125/216
91/216
11/36
36/216
Answer: B
Question: Murali travelled from city A to city B at a speed of 60 kmph and from city B to city C at 40 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
kmph
kmph
kmph
kmph
Answer: A
Question: Evaluate permutation
3P3
Choices:
6
8
9
10
Answer: A
Question: 1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
Choices:
18.9
12.5
12.2
12.1
Answer: B