antoine-444/aqua_rat_dataset huggingface dataset:
Question: In how many ways can 10 Frenchmen, 10 Spanish be seated along a circle so that they are alternate?
Choices:
10!*9!
5!*9!
10!*5!
11!9!
Answer: A
Question: Find the H.C.F. of 2^3 X 3^2 X 5 X 7^4, 2^2 X 3^5 X 5^2 X 7^3,2^3 X 5^3 X 7^2
Choices:
980
970
950
960
Answer: A
Question: 0.003 x 0.2 = ?
Choices:
0.0006
0.06
0.6
6.0
Answer: A
Question: If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+1 ?
Choices:
2
-5
-3
-4
Answer: A
Question: How many integers are between 8 and 122/7, inclusive?
Choices:
10
12
15
16
Answer: A
Question: A bus takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choices:
60 Kmph
63 Kmph
65 Kmph
70 Kmph
Answer: A
Question: The cost of 14 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?
Choices:
Rs 56
Rs 58.50
Rs 60
None of these
Answer: C
Question: Let C be defined as the sum of all prime numbers between 0 and 32. What is C/3
Choices:
129
61
47
53.3
Answer: D
Question: Twelve contestants at the county fair have entered their cakes to be judged in the cake decorating competition. A purple ribbon, blue ribbon, red ribbon, and white ribbon will be given to the first, second, third, and fourth place competitors, respectively. How many different ways are there to award the four ribbons to the contestants?
Choices:
12!(8!*4!)
8!/4!
12!/8!
12!/4!
Answer: C
Question: A man can hit the target once in four shots. If he fires three shots in succession, what is the probability that he will hit the target?
Choices:
1/64
81/64
37/64
185/256
Answer: C
Question: A rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Choices:
2779
3300
3900
2781
Answer: B
Question: The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
Choices:
74%
53%
64%
24%
Answer: C
Question: A survey of a village showed that 1 / 10 of the total population speak neither Hindi nor English. 1 / 5 of them cannot speak English and 3 / 7 of them cannot speak Hindi. What percentages of people know only one language?
Choices:
200/7
300/7
400/7
500/7
Answer: A
Question: An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 32-meter platform and caught it after it had traveled 46.5 meters. How many times did the ball bounce?
Choices:
4
7
8
9
Answer: A
Question: Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.63000 after completion of one year. What will be Jose's share of profit?
Choices:
10000
25000
35000
30000
Answer: C
Question: If py + z = p(y + z), which of the following must be true?
Choices:
p = 1 and y = 1
p = 1 and z = 0
p = 1 or y = 0
p = 1 or z = 0
Answer: D
Question: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Choices:
170
175
195
180
Answer: B
Question: During school lunch, 60% of the children packed fruit in their lunches. Of those children, 25% have an apple. The remaining children eat from the cafeteria where they are given an apple. What percentage of children have an apple with their lunch?
Choices:
45% of the children have an apple.
55% of the children have an apple.
85% of the children have an apple.
None of these.
Answer: B
Question: A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent E of the cost would the gross profit on the item have been if it had been sold without the discount?
Choices:
40%
50%
60%
75%
Answer: B
Question: How many 4-letter word with or without meaning can be formed out of the letters of the word 'LOGARITHMS' if repetition of letters is not allowed.
Choices:
1230
5040
1042
2116
Answer: B
Question: What is the 16th digit to the right of the decimal point in the decimal expansion of 1/37?
Choices:
0
4
7
9
Answer: A
Question: If a clock takes seven seconds to strike seven, how long will it take to strike ten ?
Choices:
9 seconds
10 seconds
15 seconds
None of these
Answer: D
Question: A restaurant meal cost $34.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
Choices:
$39 and $41
$38 and $40
$37 and $39
$36 and $37
Answer: B
Question: If {y} denote the remainder when 3y is divided by 2 then which of the following is equal to 1 for all positive integers y?
I. {2y+1}
II. {2y}+1
III. 2{y+1}
Choices:
II only
I and II
III only
II and III
Answer: B
Question: 30 men can do a work in 40 days. When should 10 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choices:
10 days
55 days
44 days
20 days
Answer: D
Question: Joshua and Jose work at an auto repair center with 1 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
Choices:
1/12
1/9
1/6
1/3
Answer: D
Question: Jimmy Bullard and his friend went for fishing.
They got six fishes without heads, nine fishes without the tail and eight fishes cut in two halves.
How many fishes did they caught ?
Choices:
0
2
3
4
Answer: A
Question: Two unbiased coin are tossed. What is the probability of getting almost
one head?
Choices:
1/4
3/4
3/5
1/6
Answer: B
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
Choices:
15000
16688
26678
19987
Answer: A
Question: The sum of two numbers is 44. Five times one number is equal to 6 times the other. The smaller of the two numbers is
Choices:
12
16
22
20
Answer: D
Question: Which of the following equations represents a line that is perpendicular to y=1/5*x+2?
Choices:
2x+4y=10
3y+6x=12
4y−8x=16
5x−10y=20
Answer: A
Question: If x and y are integers such that x^2+2x+2y+3=2x^2+3x+y+1, we can deduce that y is
Choices:
an even
a perfect square
an odd
a prime
Answer: A
Question: A meal cost $ 34.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Choices:
39-41
38-40
37-39
36-37
Answer: B
Question: What is the angle between the minute hand and the hour hand when the time is 1540 hours?
Choices:
160
140
130
None
Answer: C
Question: During a Pizza buffet where A eats more times 1.8 than B, and B eats 8 times less than C.find the leat number of times all the three has to eat
Choices:
260
360
380
285
Answer: B
Question: 504 can be expressed as a product of primes as
.
Choices:
2 × 3 × 3 × 3 × 7 × 7
2 × 3 × 3 × 3 × 3 × 7
2 × 2 × 2 × 3 × 3 × 7
NONE OF THE ABOVE
Answer: C
Question: Nancy works 3 days per week at a rate of x dollars per day. If Nancy works more than 3 days per week, any extra days are paid at double her normal rate. Nancy worked 4 weeks with no overtime, and then worked 2 more weeks, each with y days of overtime. Which of the following represents Nancy’s total earnings over this period?
Choices:
b) 3x+12y
c) 2x(2y+9)
d) 3x(2y+7)
e) 4x(y+8)
Answer: B
Question: If f is a positive integer, and if the units' digit of f^2 is 4 and the units' digit of (f + 1)^2 is 1, what is the units' digit of (f + 2)^2 ?
Choices:
0
4
6
8
Answer: A
Question: Which of the following is not a leap year?
Choices:
700
1200
2000
2012
Answer: A
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 60 kmph, find the speed of the stream?
Choices:
19 kmph
21 kmph
22 kmph
20 kmph
Answer: D
Question: A can do a piece of work in 24 days. B in 15 days and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?
Choices:
8 2/5days
6 2/5days
18 2/5days
17 2/5days
Answer: A
Question: In how many ways letters of the word OCCUPAY be arranged?
Choices:
9456
387
2520
9812
Answer: C
Question: A family has two children. find the probability that both the children are girls given that at least
one of them is a girl?
Choices:
1/3
1/7
1/9
1/12
Answer: A
Question: What is the time required for a vehicle to cover a distance of 480 km with a speed of 60 kmh?
Choices:
12 hours
9 hours
10 hours
8 hours
Answer: D
Question: In a group of people, if 30 people were made to stand in each column, 16 columns could be formed. If 12 people were made to stand in a column, how many columns could be formed?
Choices:
30
40
50
60
Answer: B
Question: The average age of all the student of a class is 18 years. The average age of boys of the class is 20 years and that of the girls is 15 years. If the number of girls in the class is 20, then find the number of boys in the class.
Choices:
45
30
50
60
Answer: B
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Choices:
256
364
370
390
Answer: B
Question: A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent Q of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?
Choices:
11%
15%
25%
90%
Answer: C
Question: Visitors to show were charged Rs.15 each on the first day. Rs.7.50 on the second day, Rs.2.50 on the third day and total attendance on the three days were in ratio 2:5:13 respectively. The average charge per person for the whole show is?
Choices:
4
5
6
8
Answer: B
Question: A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
Choices:
110 Kmph
120 Kmph
130 Kmph
150 Kmph
Answer: B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
1.7
1.2
1.5
1.2
Answer: C
Question: The sum of two numbers is 232 and their H.C.F is 29. How many pairs of such numbers are
Choices:
2
0
3
None of these
Answer: A
Question: What will come in place of the x in the following Number series? 2, 3, 6, 6, 18, 12, 54, 24, x
Choices:
162
78
144
180
Answer: A
Question: Ratio of ages of three persons is 4:7:9, Eight years ago, the sum of their ages was 56. Find their
present ages
Choices:
12,28,36
16,28,27
16,28,36
None of these
Answer: C
Question: Rahim is able to sell a hand-carved statue for $840 which was a 20% profit over his cost. How much did the statue originally cost him?
Choices:
$512.40
$555.40
$574.90
$700
Answer: D
Question: An express traveled at an average speed of 150 km/hr, stopping for 3 min after every 80 kn. How long did it take to reach its destination 750 km from the starting point?
Choices:
5 hrs 24 min
6 hrs 44 min
6 hrs 21 min
4 hrs 34 min
Answer: A
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 1.8 kilometer long bridge, at the same speed?
Choices:
2 min
8 min
9 min
3 min
Answer: A
Question: Rooney, Hernandez, and Robin race each other in a 100 meters race. All of them run at a constant speed throughout the race.
Rooney beats Hernandez by 20 meters.
Hernandez beats Robin by 20 meters.
How many meters does Rooney beat Robin by ?
Choices:
29 meters.
25 meters.
36 meters.
30 meters.
Answer: C
Question: A man can row 7 Â½ kmph in still water.if in a river running at 1.5 km/hr an hour,it takes him 50 minutes to row to a place and back,how far off is the place?
Choices:
2 km
5 km
3 km
1 km
Answer: C
Question: How many times are the hands of a clock at right angle in a day?
Choices:
44
41
21
40
Answer: A
Question: If 7^k + 7^k = (7^9)^(7^9) - 7^k, then k = ?
Choices:
11/2
242
3^10
7^11 - 1
Answer: D
Question: If a number is 60% more than the another, how much % is the smaller number less than the first ?
Choices:
16(2/3)%
37(1/2)%
36(4/3)%
none of these
Answer: B
Question: S = { 8,4,7,3,2,9}
T = { 4,5,6,3,1,7}
what is the probability that x chosen from S and y chosen from T will result x*y = even
Choices:
2/5
5/3
5/6
1/6
Answer: A
Question: Working together, printer A and printer B would finish the task in 24 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 4 pages a minute more than printer A ?
Choices:
480
1000
1200
1500
Answer: A
Question: The average age of 15 men of a group is 15 years. Out of these, the average age of 5 men is 15 years and that of the other 9 men is 16 years. The age of the 15th man is?
Choices:
17 years
6 years
14 years
12 years
Answer: B
Question: A password of a computer used seven digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Choices:
1/16
1/8
2/5
1/128
Answer: D
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Choices:
10 cm
88 cm
12 cm
13 cm
Answer: A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
28%
38%
16%
Answer: A
Question: At what price must an article costing Rs.47.50 be marked in order that after deducting 12% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
67.5
62.7
62.2
62.9
Answer: A
Question: The perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?
Choices:
35
56
54
23
Answer: B
Question: The average of five numbers is 27. If one number is excluded, the average becomes 23. The excluded number is?
Choices:
45
44
43
42
Answer: C
Question: 1/2, 1/4, 1/8 ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?
Choices:
0.01 < x < 0.1
0.001 < x < 0.01
0.0001 < x < 0.001
0.00001 < x < 0.0001
Answer: A
Question: A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Choices:
144
186
199
161
Answer: A
Question: A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?
Choices:
6 days
8 days
2 days
9 days
Answer: A
Question: It takes John 25 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Choices:
5:50 a.m
7:50 a.m
6:50 a.m
9:50 a.m
Answer: B
Question: A train 140 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Choices:
31.5 kmph
32.5 kmph
33.5 kmph
21.5 kmph
Answer: A
Question: How many integers between 100 and 1000 are there such that their unit digit is odd?
Choices:
420
500
450
350
Answer: C
Question: A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?
Choices:
6
5
4
3
Answer: A
Question: What is the difference between the place value of 3 in the numeral 7339?
Choices:
170
180
190
210
Answer: A
Question: Mr. Jones sold two pens at $1 each. Based on the cost, his profit one was 50% and his loss on the other was 40%. On the sale of the pipes. Find the amount of his profit or loss?
Choices:
lost 4 cents
broke even
gained 4 cents
gained 40 cents
Answer: D
Question: If d=1/(2^3*5^10) is expressed as a terminating decimal, how many nonzero digits will d have?
Choices:
Two
Three
Seven
Ten
Answer: B
Question: Let exp(m,n) = m to the power n. If exp(10, m) = n exp(2, 2) where to and n are integers then n =
Choices:
272
98
25
72
Answer: C
Question: A, B and C started a shop by investing Rs. 10,000, Rs. 10,000 and Rs. 20,000 respectively. At the end of the year, the profits were distributed among them. If Câ€™s share of profit be Rs. 4,000, then the total profit was :
Choices:
60,000
8,000
120,000
None
Answer: B
Question: In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
Choices:
20
88
27
21
Answer: A
Question: If a+b=−6, and a=10/b, what is the value of a^2+b^2?
Choices:
24
16
18
20
Answer: B
Question: A boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms /hr. Find the duration after which his friend is going to hear him. (Speed of sound = 330m/sec).
Choices:
4.00 secs
40 secs
45 secs
None of these
Answer: A
Question: In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that a beginner Trigonometry student is selected?
Choices:
44%
48%
52%
56%
Answer: B
Question: If each term in the sum E=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n?
Choices:
39
40
41
42
Answer: B
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is?
Choices:
0.5904
0.5902
0.5901
0.59023
Answer: A
Question: The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 62 kg. What is the correct weight?
Choices:
58.85kgs
58.7kgs
59kgs
59.85kgs
Answer: B
Question: A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 170, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Choices:
30
55
77
88
Answer: A
Question: If 5 less than x is 4 greater than y, then a number z that is 3 greater than x reduced by y is equal to
Choices:
12
14
y + 9
y + 14
Answer: A
Question: How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
2 years
1 year
4 years
5 years
Answer: A
Question: How many positive, 3-digit integers contain at least one 7?
Choices:
200
243
252
271
Answer: B
Question: How many positive integers D between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
Choices:
16
75
24
26
Answer: D
Question: Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
Choices:
30
31
35
38
Answer: B
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
Choices:
Rs.256.28
Rs.256.29
Rs.256.21
Rs.256.25
Answer: D
Question: what no should be subtracted from 92555 to make it a perfect square ?
Choices:
158
178
139
140
Answer: C
Question: Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms Lucy pick?
Choices:
4 kilograms
6 kilograms
8 kilograms
10 kilograms
Answer: C
Question: Which of the following is the Highest Common Factor of 27, 81 and 54?
Choices:
9
6
14
12
Answer: A
Question: A man, a woman and a boy can complete a job in 3,4 and 12 days respectively.
How many boys must assist 1 man and 1 woman to complete the job in ¼ of a day?
Choices:
4days
19days
41days
52days
Answer: C
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
2.80
2.87
2.82
Answer: A
Question: A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 8)%. In terms of x, how many species of bacteria will the group be able to model?
Choices:
(x)(105 – x)
(x)*(108 - x)
(100)(95 – x)
(x-5)/100
Answer: B
Question: A train is 250 meter long is running at a speed of 36 km/hour. In what time will it pass a station of 200 meter length?
Choices:
27 seconds
45 seconds
26 seconds
18 seconds
Answer: B
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 1 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:
5y
6y
8y
19y
Answer: D
Question: Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is?
Choices:
81.6
81.1
81.9
81.2
Answer: A
Question: Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour?
Choices:
B)30
C)20
D)10
E)5
Answer: B
Question: The edge of a cube is 4a cm. Find its surface?
Choices:
64a2 cm2
96a2 cm2
84a2 cm2
56a2 cm2
Answer: B
Question: A and B are playing mathematical puzzles. A asks B "which whole numbers, greater than one, can divide all the nine three digit numbers 111,222,333,444,555,666, 777,888 and 999?"
B immediately gave the desired answer. It was :-
Choices:
3 AND 37 and 111
9, 37 and 111
3, 9 and 37
None
Answer: A
Question: A certain city with a population of 84,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
Choices:
b) 10,800
c) 7,000
d) 11,000
e) 11,100
Answer: B
Question: A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together is
Choices:
126
91
94
None of these
Answer: B
Question: The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
Choices:
33
54
81
162
Answer: B
Question: A bag contains 3 red, 6 yellow and 8 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
Choices:
3/5
3/11
18/85
7/16
Answer: C
Question: What is the factorial of 5?
Choices:
60
120
130
180
Answer: B
Question: Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $63 more. What was his original selling price?
Choices:
$990
$1050
$1180
$1340
Answer: A
Question: The workforce of Company X is 60% female. The company hired 28 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
Choices:
220
336
360
420
Answer: B
Question: Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?
Choices:
40 sec
50 sec
60 sec
70 sec
Answer: C
Question: x is the smallest integer greater than 1000 that is not prime and that has only one factor in common with 30!. What is x?
Choices:
1021
1147
1273
50! + 1
Answer: B
Question: A, B and C enter into a partnership by investing $11000, $15000 and $23000 respectively. At the end of 8 months, B receives $1540 as his share. Find the share of A.
Choices:
$922
$1033
$1144
$1255
Answer: C
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:
35
37
38
40
Answer: B
Question: What is the area of a square field whose diagonal of length 30 m?
Choices:
300 sq m
200 sq m
400 sq m
800 sq m
Answer: A
Question: A,B,C invested the capitals in a business. If the investment of A, B, C are Rs. 40,000, Rs.50,000, Rs.10000 respectively and the profit got by B is Rs.7500, find the profit of others.
Choices:
6000, 1500
6500, 1000
5500, 2000
5250, 2250
Answer: A
Question: The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is ?
Choices:
95
99
100
103
Answer: B
Question: The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?
Choices:
1500
1700
1349
1389
Answer: C
Question: If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 300, then x must be a multiple of which of the following?
Choices:
6.
7.
8.
10.
Answer: D
Question: If a - b = 3 and a(power 2) + b(power 2) = 21, find the value of ab.
Choices:
8
4
6
3
Answer: C
Question: A lady builds 9cm length, 12cm width, and 3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box?
Choices:
108
109
110
111
Answer: A
Question: Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 47 years. What will be the age of the B ten years hence?
Choices:
77
94
96
51
Answer: B
Question: One out of every 300 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
Choices:
30000
10,000
50,000
52,000
Answer: A
Question: If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 7800 ?
Choices:
13
14
18
10
Answer: A
Question: If f(a)=2a+8, what is the value of (f(2a)+f(a)) ?
Choices:
6a+16
6a+18
6a+12
3a+5
Answer: A
Question: A cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm. Find the total area of the wet surface.
Choices:
103 m sqaure
152 m sqaure
164 m sqaure
None of these
Answer: A
Question: A boat having a length 3 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
Choices:
120 kg
89 Kg
90 Kg
110 Kg
Answer: C
Question: Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many Q minutes it takes John to reach the station?
Choices:
6 min
7 and 1/2 min
8 min
10 min
Answer: B
Question: The diameter of the driving wheel of a bus is 120 m. How many revolution, per minute must the wheel make in order to keep a speed of 60 kmph approximately
Choices:
257
262
265
275
Answer: C
Question: How many different positive integers exist between 10^6 and 10^7, the sum of whose digits is equal to 2?
Choices:
6
7
8
18
Answer: B
Question: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
Choices:
16 hours
12 hours
13 hours
17 hours
Answer: B
Question: What is the average of 12, 13, 14, 51, 52, 53, 1,11.5, 1,1.20, and 11.25?
Choices:
21.06
26
23.69
22.56
Answer: A
Question: Today is Thursday. The day after 51 days will be?
Choices:
Tuesday
Saturday
Sunday
wednesday
Answer: B
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 20% 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:
18%
20%
25%
26%
Answer: B
Question: If x2*square* – x – 2 > 0, which of the following is the
solution set for x?
Choices:
x > 2
–1 < x < 2
x < –1 or x > 2
No solutions are possible
Answer: C
Question: In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
Choices:
4
8
16
None of the above
Answer: B
Question: some 6th std students each bought a pencil paying a total of 143rs.some of the 26 fifth std students each bought a pencil and they paid a total of 165rs.how many more fifth std students than sixth std students bought a pencil
Choices:
2
3
4
5
Answer: A
Question: The LCM and HCF of two numbers are 1000 and 100 respectively. Find the larger of the two numbers if their sum is 1100.
Choices:
1000
567
57
678
Answer: A
Question: If n = 2p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Two
Four
Six
Eight
Answer: A
Question: How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
30
40
45
50
Answer: A
Question: A hostel had provisions for 250 men for 32 days. If 50 men left the hostel, how long will the food last at the same rate?
Choices:
40
50
60
65
Answer: A
Question: The population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?
Choices:
186935
179776
167425
None of these
Answer: B
Question: Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 9900 interest only for the period. The principal amount borrowed by her was
Choices:
Rs. 27500
Rs. 15000
Rs. 20000
None of these
Answer: A
Question: Jupiter travels around the Sun at an approximate speed of 7.8 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles)
Choices:
42,600
44,700
46,800
48,900
Answer: C
Question: A train running at the speed of 90 km/hr crosses a pole in 12 seconds. Find the length of the train?
Choices:
872
287
288
300
Answer: D
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 852 grams per kg, what is his percent?
Choices:
25%
17.37%
99%
12%
Answer: B
Question: In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is:
Choices:
20
32
34
46
Answer: A
Question: A certain kind of necklace is made from 9 yellow, 6 blue, and 3 silver beads. What is the maximum number of these necklaces that can be made from 63 beads of each color ?
Choices:
7
5
4
3
Answer: A
Question: The number of positive integers valued pairs (x, y) satisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is
Choices:
59
55
58
60
Answer: A
Question: A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be
Choices:
12 kmph
14 kmph
17 kmph
None of these
Answer: B
Question: Fifteen runners from four different countries are competing in a tournament. Each country holds a qualifying heat to determine who its fastest runner is. These four runners then run a final race for first, second, and third place. If no country has more than one more runner than any other country, how many arrangements of prize winners are there?
Choices:
384
455
1248
2730
Answer: C
Question: A train of length 250 metres takes 45 seconds to cross a tunnel of length 350metres. What is the speed of the train in km/hr?
Choices:
240 km/hr.
30 km/hr.
24 km/hr.
None
Answer: C
Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is
Choices:
1/9
1/5
1/6
1/3
Answer: B
Question: Two trains 140 m and 180 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:
11.52 sec
10.6 sec
10.8 sec
10.2 sec
Answer: A
Question: One woman and one man can build a wall together in half an hour, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them two hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
Choices:
1
10/7
6/13
22/7
Answer: C
Question: Add: + 47 and -27
Choices:
+30
0
27
47
Answer: A
Question: If the population of a certain country increases at the rate of one person every 25 seconds, by how many persons does the population increase in 1 hour?
Choices:
120
144
180
160
Answer: B
Question: A man speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man speed against the current is
Choices:
8 km/hr
9 km/hr
6 km/hr
10 km/hr
Answer: D
Question: A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?
Choices:
20 min past 7pm on wednesday
20 min past 9pm on wednesday
26 min past 7pm on wednesday
20 min past 4pm on wednesday
Answer: A
Question: Pipes A and B can fill a tank in 10 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
Choices:
2 8/11 hours
3 9/17 hours
5 5/11 hours
None
Answer: C
Question: In 2005, 25 percent of the math department’s 60 students were female, and in 2007, 35 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department?
Choices:
51.7%
62.5%
115%
160%
Answer: A
Question: If b < 2 and 2x - 5b = 0, which of the following must be true?
Choices:
x < 5
x = 3
x < 3
D. x > 3
Answer: A
Question: The integer x is divisible by both 4 and 6. Which of the following must be an integer?
Choices:
x/12
x/25
x/24
x/16
Answer: A
Question: IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7:4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC realizes that the final quotes of the two were in the ratio 3:4. What was the price at which IBM won the bid?
Choices:
Rs. 3 lakh
Rs. 4 lakh
Rs. 1.5 lakh
None of these
Answer: A
Question: If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?
Choices:
4:3
6:3
3:4
5:4
Answer: A
Question: A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 63 liters of drink A to convert it to drink B?
Choices:
14
21
28
35
Answer: B
Question: What is the next number of the following sequence
7, 0, 1, 8, 5, 12, 9, 26, 3, 2, 23, ?
Choices:
28
30
31
32
Answer: A
Question: Meena wrote all the numbers from 1 to 69,999 inclusive. How many digits did she write in total?
Choices:
308,889
338,889
368,889
398,889
Answer: B
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 3 man in committee ?
Choices:
11/72
12/72
28/36
36/90
Answer: C
Question: If the average of 37, 69, 47 and x is 46.5, what is x?
Choices:
41
50
59
33
Answer: D
Question: What is the ratio F of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?
Choices:
3/8
1/2
3/5
2
Answer: C
Question: 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 81. How much wine did the cask hold originally?
Choices:
24 litres
32 litres
42 litres
52 litres
Answer: A
Question: A box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Choices:
82
84
86
88
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 10 sec. What is the length of the fast train?
Choices:
27 7/5
27 7/2
500/9
27 7/1
Answer: C
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Choices:
270
187
257
271
Answer: A
Question: If you divide 7^102 by 5, which remainder do you get?
Choices:
1
2
3
4
Answer: D
Question: Set A: {1, 3, 4, 6, 9, 12, 15}
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
Choices:
2/7
9/14
5/7
11/14
Answer: A
Question: A sum of Rs.2000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
Choices:
3120
2877
2999
1300
Answer: D
Question: How many two digit numbers of distinct digits can be formed by using digits 3, 4, 5, 6,7 and 8 such that the numbers are divisible by 9?
Choices:
4
5
6
8
Answer: A
Question: A train 150 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
Choices:
10 s
7 s
12 s
None of these
Answer: A
Question: Rahul went to a shop and bought things worth Rs. 55, out of which 30 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:
B)19.9
C)21.9
D)40.9
E)49.7
Answer: D
Question: A car runs at the speed of 60 km per hour when not serviced and runs at 80 kmph when serviced. After servicing the car covers a certain distance in 4 hours. How much time will the car take to cover the same distance when not serviced?
Choices:
5 hours 33 minutes
8 hours 15 minutes
7 hours 12 minutes
None
Answer: A
Question: When their father died, he left an Estate containing many assets, and a few expenses to his 6 children equally. His assets included: Investments, ($305,000), Life Insurance ($104,000), an old car (sold for $1900), an older house (sold for $75,000). His expenses included: Nursing Home Expenses ($6500) and Funeral Costs ($9300). How much would each child inherit?
Choices:
79001
75452
76767
78350
Answer: D
Question: The price of the jewel, passing through three hands, rises on the whole by 56%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
Choices:
4
5
2
30
Answer: A
Question: A sum of money at simple interest amounts to Rs. 835 in 3 years and to Rs. 854 in 4 years. The sum is:
Choices:
s. 690
s. 698
s. 700
s. 718
Answer: D
Question: . A car covers a distance of 390 km in 4 hours. Find its speed?
Choices:
55
66
98
100
Answer: C
Question: If 40% of (x-y) = 20% of (x+y), then what percent of x is y?
Choices:
44.4%
22.2%
33.3%
25%
Answer: C
Question: Set X consists of all two-digit primes and set Y consists of all positive even multiples of 5 less than 100. If the two sets are combined into one, what will be the range of the new set?
Choices:
87
90
92
95
Answer: A
Question: Prints a page 60 pg per min .If the printed for 1 hours except 10 min.Where there
was an paper jam,how many page did it print
Choices:
12,880
3,000
8,880
18,880
Answer: B
Question: A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Choices:
10 2/9
10 2/3
10 2/2
10 2/5
Answer: B
Question: The probability is 1/2 that a certain coin turns up heads on any given toss. If the coin is tossed six times, what is the probability that the coin turns up tails on at least one of the tosses?
Choices:
21/32
31/32
63/64
51/64
Answer: C
Question: A batsman in his 15th inning makes a score of 75 and their by increasing his average by 3. What is his average after the 15th inning?
Choices:
32
33
34
35
Answer: B
Question: Which of the following equations represents a line that is perpendicular to the line described by the equation 2x + 3y = 12?
Choices:
5x + y = 7
3x - 2y = 8
4x - 3y = 9
x + y = 10
Answer: B
Question: Manoj, Nayan and Ajit together started a software company. It was agreed that Manoj would invest Rs. 6500 for 6 months, Nayan, Rs. 8400 for 5 months and Ajit Rs. 10,000 for 3 months. Manoj wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of Nayan in the profit ?
Choices:
2660
3000
none of the above
Cannot be determined
Answer: A
Question: A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability R that the 2 apples selected will include the spoiled one?
Choices:
b. 3/10
c. 2/5
d. 1/2
e. 3/5
Answer: B
Question: The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
Choices:
15
18
16
81
Answer: A
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
480
287
117
181
Answer: A
Question: One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 300 of the attendees are neither female nor students, what is the total number of attendees at the convention?
Choices:
300
1200
1500
1800
Answer: D
Question: If a boat is rowed downstream for 200 km in 10 hours and upstream for 96 km in 12 hours, what is the speed of the boat and the river?
Choices:
14 , 6
14 , 14
6 , 6
14 , 10
Answer: A
Question: On an order of 3 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:
Choices:
25%
30%
35%
40%
Answer: A
Question: Ajith and Rana walk around a circular course 115 km in circumference, starting together from the same
point. If they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet ?
Choices:
after 115 hours
after 115 minutes
after 20 minutes
after 25 minutes
Answer: A
Question: If a Ã— b = 2a - 3b + ab, then 4 Ã— 5 + 5 Ã— 4 is equal to :
Choices:
31
43
45
26
Answer: A
Question: If ab-a-b=265
bc-b-c=155
ac-c-a=150
then find a?
Choices:
17
18
19
20
Answer: A
Question: A rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
Choices:
88ft
22ft
112ft
146t
Answer: D
Question: Find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of Rs.12 per square metre.
Choices:
1854
1872
1888
1999
Answer: B
Question: How many cubes of 10cm edge can be put in a cubical box of 1m edge
Choices:
100
1000
10000
3000
Answer: B
Question: A has 10000 chocolates.20% of the chocolates are Eaten.What percentage of the uneaten Chocolates must be eaten so that 3/2 of all chocolates are eaten?
Choices:
37.25
37.26
38.21
38.32
Answer: A
Question: In Plutarch Enterprises, 60% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $50,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Choices:
$130,000
$240,000
$290,000
$340,000
Answer: D
Question: A man walks from B to C, a distance of x miles, at 6 miles per hour and returns at 12 miles per hour. What is his average speed?
Choices:
9.6 mph
8.0 mph
8.4 mph
4 mph
Answer: B
Question: A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to
contradict each other, narraƟng the same incident
Choices:
35%
40%
45%
50%
Answer: A
Question: ♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3
♠2.423 - ♠3.421 =
Choices:
1.04
-0.8
-1.0
-0.1
Answer: B
Question: In digging a pond 25 m * 10 m * 5 m the volumes of the soil extracted will be?
Choices:
1750
2866
2787
1121
Answer: A
Question: A zeebra chases a tiger 5 hours after the tiger runs. zeebra takes 6 hours to reach the tiger. If the average speed of the zeebra is 55 kmph, what s the average speed of the tiger?
Choices:
32kmph
30kmph
31kmph
20kmph
Answer: B
Question: The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?
Choices:
67.5,22.5 kmph
70.5,70.5 kmph
78.6,10.25 kmph
70,12 kmph
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:
6m
5m
2m
4m
Answer: C
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choices:
39
40
41
42
Answer: A
Question: A team of 11 member is to be formed from a group of 5 men and 8 women. At most 3 men are allowed. How many combination are possible.
Choices:
10
11
12
13
Answer: A
Question: A trader bought a car at 20% discount on its original price. He sold it at a 45% increase on the price he bought it. What percent of profit did he make on the original price?
Choices:
B)12%
C)16%
D)20%
E)22%
Answer: B
Question: The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.
Choices:
88
48
77
27
Answer: B
Question: Two trains of length 400 m and 200 m are 200 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 36 kmph. After how much time will the trains meet?
Choices:
8 sec
33/7 sec
21/7 sec
32/7 sec
Answer: A
Question: What is the greatest integer m for which the number 40!/14^m is an integer?
Choices:
7
6
5
4
Answer: C
Question: If n = (33)^43 + (23)^33 what is the units digit of n?
Choices:
2
4
6
8
Answer: C
Question: If n = 2×3×5×7×11×13×17, then which of the following statements must be true?
I. n2 is divisible by 600
II. n + 19 is divisible by 19
III. is even n+4 / 2 = even
IV . divisible by 35 only
Choices:
none and IV only
III only
I and III only
e None
Answer: A
Question: The length of the bridge, which a train 140 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
267
235
277
211
Answer: B
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 101 players took part in that tournament. How many matches were played?
Choices:
95 matches
99 matches
100 matches
87 matches
Answer: C
Question: A room is 18 meters long, 15 meters wide 12 meters in height. The longest possible rod which can be placed in the room is
Choices:
25.28 meters
23.28 meters
26.28 meters
20.28 meters
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. Find the length of the train.
Choices:
145 m
140 m
200 m
155 m
Answer: C
Question: A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. in 5 years. What is the sum?
Choices:
12877
82882
80925
80325
Answer: D