antoine-444/aqua_rat_dataset huggingface dataset:
Question: In a room with 8 people, 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room (Assuming that friendship is a mutual relationship, i.e. if Jane is Paul's friend, Paul is Jane's friend). If two individuals are selected from the room at random, what is the probability that those two individuals are NOT friends?
Choices:
3/7
4/7
5/7
25/28
Answer: D
Question: At 6′o a clock ticks 6 times. The time between first and last ticks is 25 seconds. How long does it tick at 12′o clock
Choices:
55
28
66
11
Answer: A
Question: A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12% while buying and by 20% while selling. What is his percentage profit?
Choices:
20.22%
21.22%
40%
Can't be calculated
Answer: C
Question: An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Choices:
4/9
4/7
4/11
5/9
Answer: A
Question: In how many different ways can 5 people be seated in a room with 7 chairs?
Choices:
2,520
403,200
1,814,400
3,628,800
Answer: A
Question: Using all the letters of the word "NOKIAS", how many words can be formed, which begin with N and end with A?
Choices:
24
9
3
1
Answer: A
Question: Chris mixed 5 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Choices:
5/17
1/4
1/3
3/7
Answer: A
Question: How many prime numbers between 1 and 100 are factors of 7,150 ?
Choices:
Two
Three
Four
Five
Answer: C
Question: Five coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Choices:
2^4
3 * 2^8
3 * 2^9
3 * 2^10
Answer: A
Question: What is the next number of the following sequence
1,3,4,5,6,1,9,16,25,...
Choices:
15
36
17
18
Answer: B
Question: One vessel contains a mixture of 6 parts pure wine and 4 parts soda, whereas the other vessel contains a mixture of 9 parts pure wine and 5 parts soda. Compare the strength of the wine.
Choices:
7 : 8
7 : 4
42 : 45
None of these
Answer: C
Question: Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.14000 at the end of the year, B's share is
Choices:
Rs.5040
Rs.7500
Rs.6600
None
Answer: A
Question: Which of the following is not a prime number ?
Choices:
21
27
29
31
Answer: A
Question: A reduction of 35% in the price of apples would enable a man to obtain 42 more for Rs.20, what is reduced price per dozen?
Choices:
1.7
6.3
7.1
10.4
Answer: A
Question: A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?
Choices:
262
72
205
267
Answer: C
Question: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value of 3/(x·y)?
Choices:
0.6
0.9
1
3
Answer: C
Question: In a diving competition, each diver has a 35% chance of a perfect dive. The first perfect dive of the competition, but no subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? (Assume that each diver can perform only one dive per turn.)
Choices:
1/15
4/25
80/541
61/125
Answer: C
Question: A beekeeper has 1200,000 bees living in 13 beehives. Among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. No beehive has less than 80% the number of bees of any other beehive. What is the maximum possible number of bees that the greatest beehive could have?
Choices:
113207
454646
4645646
456677656
Answer: A
Question: The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person?
Choices:
18
12
88
66
Answer: B
Question: John is traveling to a meeting that is 22 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
Choices:
44 mph
41 mph
49 mph
56 mph
Answer: A
Question: Which of the following cannot be the range of a set consisting of 5 odd multiples of 5?
Choices:
383
160
320
40
Answer: A
Question: Each truck from David Removal Company can haul 1000 pounds of trash at a time.
On Wednesday the company has jobs to remove 2,500 pounds of trash from one
site, 500 from another site, and 3,500 from a third site. How many total pounds of
trash will be moved by Jones Company that day? How many trips will it take for the
Jones Company to remove all of the trash?
Choices:
4500 lbs.-9 Trips
2500 lbs.-3 Trips
3500 lbs.-7 Trips
6000 lbs.-6 Trips
Answer: D
Question: 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for two days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it is to be completed in 3 days?
Choices:
15
data inadequate
none of these
13
Answer: A
Question: The difference of two numbers is 1355. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Choices:
270
295
268
252
Answer: C
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 5 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Choices:
80 miles
90 miles
120 miles
85 miles
Answer: D
Question: A motorcyclist goes from Bombay to Delhi, a distance of 200 kms at an average of 50 kmph speed. Another man starts from Bombay by car 2 Â½ hours after the first, and reaches Delhi Â½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Choices:
1:7
1:9
1:4
1:1
Answer: C
Question: Two cars start from the opposite places of a main road, 150 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 62 km along the main road. What would be the distance between two cars at this point?
Choices:
38
20
28
21
Answer: A
Question: A monkey starts climbing up a tree of 20 feet tall. Each hour it hops 3 feet and slips back 2 feet. How long monkey will take to reach the top of the tree?
Choices:
19 hours.
12 hours.
18 hours.
13 hours.
Answer: C
Question: The average of first six prime numbers greater than 20 is?
Choices:
20
30
40
34
Answer: D
Question: The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 384 square centimeters, what is the length of the rectangle in centimeters?
Choices:
21
22
23
24
Answer: D
Question: Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
Choices:
2400
2678
2699
2881
Answer: A
Question: Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
Choices:
Rs. 34,000
Rs. 36,000
Rs. 36,500
Rs. 38,000
Answer: D
Question: There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles .
Choices:
3 hr
2 hr
1 hr
5 hr
Answer: A
Question: 2 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
Choices:
1
5
0
4
Answer: A
Question: After 10% of the inhabitants of a village disappeared, a panic set in during which 25% of the remaining inhabitants left the village. At that time, the population was reduced to 4725. What was the number of original inhabitants?
Choices:
7000
4000
8000
9000
Answer: A
Question: 38 69 55 73 31 47 91 82
Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in the list above?
Choices:
68
69
71
79
Answer: D
Question: Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is
Choices:
55
60
65
66
Answer: B
Question: Entry fee in an examination was Re. 1. Later, this was reduced by 25% which increased the sale by 20%. The percentage increase in the number of visitors is
Choices:
60
66
54
None
Answer: A
Question: If integers ending in zero are excluded, what is the unit digit of the product of the even integers from 102 to 198, inclusive?
Choices:
6
4
3
2
Answer: A
Question: Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 15 from the product of their ages a year from today. What is their age today?
Choices:
4.
5.
7.
9.
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, 7, or 9. 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:
50/625
4/625
25/625
53/625
Answer: A
Question: If a + b + c = 0 and a,b,c, are rational numbers then the roots of the equation
(b + c – a)x2 + (c + a – b) x + (a + b – c) = 0 are
Choices:
rational
non real
real
none of these.
Answer: A
Question: In a school having roll strength 286, the ratio of boys and girls is 8:5. If 22 more girls get admitted into the school, the ratio of boys and girls becomes
Choices:
10:7
8:7
4:3
none
Answer: C
Question: A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12100 after a year?
Choices:
3630
2667
2977
2378
Answer: A
Question: A & B are two places. C & D start walking from A and B respectively. Before meeting D, C travel 18m more than D. then C takes 13 and half minute and D take 24 minute to reach their destination.
Choices:
126
127
128
129
Answer: A
Question: UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 9:1. If 90% of the Toyota bought and 10% of the Honda bought were SUVÃ¢â‚¬â„¢s. How many SUVÃ¢â‚¬â„¢s did UBA capital buy in the aforementioned purchase?
Choices:
82%
28%
69%
80%
Answer: A
Question: How many factors of 220 are odd numbers greater than 1?
Choices:
3
5
6
7
Answer: A
Question: What is the 4 digit no.in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is three times the second?
Choices:
1256
1349
1456
1590
Answer: B
Question: W(x, y) is the intersection point between the circle (x^2 + y^2 = 4) and the line (y = x +2). Which of the following can be the point W?
Choices:
(2, 0).
(0, -2).
(-2, 0).
(2, 2).
Answer: C
Question: If –3 < x < 3 and x ≠ 0, which of the following inequalities must be true?
I. x^3 < x
II. x^2 < |x|
III. x^4 – x^5 > x^3 – x^2
Choices:
II only
III only
II and III only
I, II, and III
Answer: D
Question: A cylindrical can has a radius of 4 centimeters and a height of 24 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping?
Choices:
64 pi
96 pi
192 pi
576 pi
Answer: C
Question: A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.
Choices:
225 meter
250 meter
210 meter
230 meter
Answer: A
Question: Josh spends a total of $5.5 buying S items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then S may be which of the following?
Choices:
100
101
112
113
Answer: B
Question: There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?
Choices:
25
88
89
53
Answer: A
Question: Evaluate :
28% of 400 + 45 % of 250
Choices:
224.5
190.3
150
None of these
Answer: A
Question: Each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 45?
Choices:
5/42
1/8
3/16
1/4
Answer: A
Question: At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/6 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
Choices:
12 fewer
28 fewer
36 fewer
44 fewer
Answer: A
Question: If x-y=8, which of the following must be true?
I. If x is negative, y must be negative
II. If x is positive, y must be positive
III.Both x and y are positive
Choices:
I only
III only
I and II
II and III
Answer: A
Question: Runner A passed a post running at a constant speed of 50 miles per hour. Then, 15 minutes later, Runner B passed the same post at a constant speed of 60 miles per hour. If both runners maintained their speeds and both remained on the highway for at least 2 hours, how long after Runner B passed the gas station did he catch up with Runner A?
Choices:
45 min
1 hr
1 hr 15 min
1 hr 30 min
Answer: C
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.70. What is the price of 2 doughnuts?
Choices:
$ 1.00
$ 1.10
$ 1.30
$ 1.80
Answer: B
Question: Tough and Tricky questions: Decimals.
The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.45, b = 2.95, and c = 3.75, what is y – x?
Choices:
0
0.2
0.1
0.3
Answer: B
Question: In track last week, the boys ran 34 laps. The girls ran 20 more
laps. Each lap is a 1/6th of a mile. How many miles did the girls run?
Choices:
9 miles
11 miles
12 miles
13 miles
Answer: A
Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?
Choices:
2
6
8
10
Answer: A
Question: A and B invests Rs.3000 and Rs.10000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Choices:
9:8
9:20
9:9
9:5
Answer: B
Question: Which of the following fractions T has a decimal equivalent that is a terminating decimal?
Choices:
15/196
16/225
25/144
39/128
Answer: D
Question: In a simultaneous throw of a pair of dice, find the probability of getting a total more than 5
Choices:
7/12
5/13
5/12
3/8
Answer: D
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
Choices:
5/12
5/19
5/29
5/13
Answer: A
Question: In how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?
Choices:
70
71
72
73
Answer: C
Question: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:
Choices:
Rs.360
Rs.350
Rs.364
Rs.362
Answer: A
Question: How many different ways can 2 students be seated in a row of 4 desks, so that there is always at least one empty desk between the students?
Choices:
3
4
6
12
Answer: C
Question: A women in her conversation said " if u reverse my own age, in figures represent my husbands age. he is of course senior to me and difference between our age is one 0ne-eleventh of their sum. what is the woman's and her husbands age?
Choices:
45,54
84,57
34,58
52,54
Answer: A
Question: A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choices:
150
77
62
52
Answer: A
Question: A certain barrel, which is a right circular cylinder, is filled to capacity with 200 gallons of oil. The first barrel is poured into a second barrel, also a right circular cylinder, which is empty. The second barrel is twice as tall as the first barrel and has twice the diameter of the first barrel. If all of the oil in the first barrel is poured into the second barrel, how much empty capacity, in gallons, is left in the second barrel?
Choices:
1100 gallons
1300 gallons
1400 gallons
1800 gallons
Answer: C
Question: Gautami went to the stationers and bought things worth Rs. 100, out of which 50 paise went on sales tax on taxable purchases. If the tax rate was 5%. then what was the cost of the tax free items?
Choices:
Rs. 70.50
Rs. 89.50
Rs. 69.50
Rs. 80.50
Answer: B
Question: When a student Joe, weighing 40 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe?
Choices:
5 kg
30 kg
36.5 kg
71 kg
Answer: A
Question: Three men A, B and C working together can do a work in 17 days. They start the work together and A works for 5 days and takes rest on the sixth day, B works for 5 days and takes rest on the next two days and C works for 8 days and takes rest on the next three days. In how many days will the work be completed ? (A, B, C work at the same rate)
Choices:
23 days
22 days
21 days
20 days
Answer: B
Question: A double decked bus can accomodate 100 passengers,40 in the upper deck and 60 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?
Choices:
2. 75!/30!45!
3. 110!/50!60!
4. 110!50!60!/40!45!
5. 110!/40!45!
Answer: A
Question: In a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 120 cans in the entire display, how many cans are in the six row?
Choices:
14
16
18
20
Answer: B
Question: If the height of a cone is increased by 100% then its volume is increased by?
Choices:
300%
100%
500%
350%
Answer: B
Question: A number is doubled and 5 is added. If the resultant is trebled, it becomes 135. What is that number?
Choices:
29
20
15
99
Answer: B
Question: If M = s% of t and N = t% of s, then which of the following is true?
Choices:
M is equal to N
M is greater than N
none of these
Cannot be determined
Answer: A
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
Choices:
8
6
5
2
Answer: A
Question: Distance between 2 places A and B is given. A man P starts from place A at 9 pm and another man Q goes from B at 10pm . Speed of Q is double of that of P. Both cover 1/4 dist in the same time interval. then A travels the entire dist in time
Choices:
8hrs
10hrs
11hrs
12hrs
Answer: A
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choices:
1:96
1:95
1:12
1:11
Answer: A
Question: In the game of Dubblefud, red chips, blue chips and green chips are each worth 1,2 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 15, 000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
Choices:
20
30
40
50
Answer: B
Question: Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
Choices:
60 kg
64 kg
70 kg
None
Answer: B
Question: If x+y=10, x-y=18, for integers of x and y, x=?
Choices:
14
25
13
42
Answer: A
Question: (1^2+2^2+3^2+.....+7^2)=?
Choices:
345
365
140
None of them
Answer: C
Question: What is the area of an equilateral triangle whose one side length is 50?
Choices:
325√3
425√3
525√3
625√3
Answer: D
Question: Two thirds of the roads from A to B are at least 5 miles long, and 3/4 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?
Choices:
1/4
2/3
3/4
11/12
Answer: D
Question: If a - b = 3 and a2 + b2 = 29, find the value of ab?
Choices:
10
14
17
18
Answer: A
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.210 only. Menâ€™s wages are?
Choices:
2Rs
4Rs
9Rs
14Rs
Answer: D
Question: a man can row 20 kmph in still water.it takes him thrice as long to row up as to row down the river.find the rate of stream
Choices:
6 km/hr.
9 km/hr.
15 km/hr.
10 km/hr.
Answer: D
Question: A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order R? (1 cubic meter = 1,000 liters)
Choices:
90
82
78
75
Answer: D
Question: An empty fuel tank with a capacity of 200 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 22 gallons of ethanol, how many gallons of fuel A were added?
Choices:
150
250
80
50
Answer: B
Question: A certain team has 16 members, including Joey. A three-member relay team will be selected as follows: one of the 16 members is to be chosen at random to run first, one of the remaining 15 members is to be chosen at random to run second, and one of the remaining 14 members is to be chosen at random to run third. What is the probability that Joey will be chosen to run second or third?
Choices:
2/5
1/6
2/7
1/8
Answer: D
Question: There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 780. The number of hares in the zoo is?
Choices:
190
77
66
221
Answer: A
Question: How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
Choices:
99
97
95
65
Answer: A
Question: A boy has five trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
75 ways
66 ways
108 ways
21 ways
Answer: A
Question: Three candidates contested an election and received 1000, 2000 and 4000votes respectively. What percentage of the total votes did the winning candidate got?
Choices:
50%
57%
62%
75%
Answer: B
Question: A, B, K start from the same place and travel in the same direction at speeds of 30 km/hr, 40 km/hr, 120 km/hr respectively. B starts two hours after A. If B and K overtake A at the same instant, how many hours after A did K start?
Choices:
4
6
8
10
Answer: B
Question: How many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Choices:
25
24
20
22
Answer: D
Question: Including Cara and Dan, there are five members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Choices:
1/2
1/3
2/4
2/5
Answer: A
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Choices:
Rs. 3972
Rs. 3372
Rs. 3942
Rs. 3772
Answer: B
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Choices:
18%
68%
19%
38%
Answer: A
Question: Two pipes A and B can fill a tank in 15 min and 27 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
Choices:
14 min 42 sec
18 min 24 sec
14 min 40 sec
14 min 10 sec
Answer: B
Question: Lake A has a duck population of 30 females and 35 males. Lake B’s duck population consists of the same ratio of females to males. If 6 new female ducks are added to Lake B and no other ducks are added or removed, the new total duck population of Lake B could be which of the following?
Choices:
105
78
51
36
Answer: B
Question: Which of the following numbers is between 2⁄5 and 1⁄4?
Choices:
.35
.23
.22
.20
Answer: A
Question: In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 18 years is replaced by a new boy. The age of the new boy is ?
Choices:
14 years 8 months
16 years 4 months years
17 years 10 months years
None
Answer: A
Question: If d is the mean of x, y, and z, what is the mean x - 5, y - 5, z - 5 ?
Choices:
3d
15d
d - 5
d + 15
Answer: C
Question: Yearly subscription to professional magazines cost a company $940.00. To Make a 30% cut in the magazine budget, how much less must be spent?
Choices:
655
656
657
658
Answer: D
Question: A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
270
360
500
550
Answer: A
Question: what is the remainder when 45820 is divided by 45
Choices:
15
25
10
5
Answer: C
Question: Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 6 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?
Choices:
$10,494
$10,500
$11,500
$12,705
Answer: A
Question: A, B and C enter into a partnership by investing Rs. 15000, Rs.21000 and Rs.27000 respectively. At the end of 8 months, B receives Rs.1260 as his share. Find the share of A.
Choices:
Rs. 1620
Rs. 1080
Rs. 900
None of these
Answer: C
Question: If two pipes function simultaneously, the reservoir will be filled in 12 days.One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir.
Choices:
13 hours
30 hours
43 hours
45 hours
Answer: B
Question: Megala bought an electric drill at 85% of the regular price.
She paid $850 for the drill. What was the regular price?
Choices:
$1000
$3869
$5869
$4869
Answer: A
Question: A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Choices:
28789
15000
28999
15022
Answer: B
Question: What is the Compound Interest on Rs.8500 at 7.5% p.a. compounded half-yearly for 2 1/2 years.
Choices:
1717.85
1427.85
2717.85
1817.85
Answer: A
Question: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?
--
Choices:
19
60
180
720
Answer: D
Question: Find the odd man out
3,12, 24,48, 56, 96
Choices:
8
16
56
2
Answer: C
Question: Two bullet train s 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Choices:
12.6 sec.
11.8 sec.
10.8 sec.
08.8 sec.
Answer: A
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 & B leaves after 2 days simultaneously from the beginning. How long will work lost?
Choices:
10 1/3
11 1/3
12 1/3
13 1/3
Answer: D
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 4 characters in length. This year, it added the option of creating passwords having 5 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 65 unique alphanumeric case sensitive characters.
Choices:
62^5
62(62^4)
66(65^4)
63(62^6)
Answer: C
Question: 155 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choices:
62 liters
41 liters
50 liters
34 liters
Answer: A
Question: Let a be a positive integer. If q is divisible by 2^a and q is also divisible by 3^(2a), then it is possible that q is NOT divisible by
Choices:
3 × 2^a
2 × 3^(2a)
6^a
6^(2a)
Answer: D
Question: A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 55% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?
Choices:
1/4
1/2
7/24
17/24
Answer: B
Question: A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is
Choices:
2 mph
3 mph
4 mph
None
Answer: A
Question: A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Choices:
22 8/2 kmph
22 1/8 kmph
22 1/2 kmph
22 1/4 kmph
Answer: C
Question: Find the value of 10 + 2 â€¢ (8 â€“ 3)
Choices:
13
17
20
15
Answer: C
Question: A person crosses a 300 m long street in 4 minutes. What is his speed in km per hour?
Choices:
4.5
8.2
6.5
2.9
Answer: A
Question: At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Raja,Kamal, Baskar, and Dinesh get lockers with the numbers 100, 400, 150, and 420, respectively, who is the most popular student?
Choices:
They have equal popularity
Dinesh
Raja
Kamal
Answer: B
Question: The radius of a wheel is 25.4 cm. What is the distance covered by the wheel in making 500 resolutions?
Choices:
798.3 m
287 m
278 m
927 m
Answer: A
Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are?
Choices:
6Rs
4Rs
9Rs
3Rs
Answer: A
Question: Two brothers took the exam, the higher score is X and the lower one is Y. If the difference between the two scores is equal to their average, what is the value of Y/X ?
Choices:
2.
1/2.
1/3.
There isn't enough data to answer the question
Answer: C
Question: Rahul went to a shop and bought things worth Rs. 28, 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:
Rs 12.10
Rs 22.70
Rs 26.80
None of these
Answer: B
Question: Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Choices:
14 : 5
16 : 7
19 : 5
None of these
Answer: C
Question: A walks around a circular field at the rate of one round per hour while B runs around it at the rate of three rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after ___ minutes?
Choices:
12 min
10 min
15 min
30 min
Answer: D
Question: 0, 1, 5, 14, 30, ____
Choices:
35
45
65
55
Answer: D
Question: What is the least number of digits (including repetitions) needed to express 10^300 in decimal notation?
Choices:
b) 100
c) 301
d) 1000
e) 1001
Answer: B
Question: A train 120 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Choices:
67 kmph
55 kmph
60 kmph
70 kmph
Answer: A
Question: A boat can move upstream at 25 kmph and downstream at 31 kmph, then the speed of the current is?
Choices:
3
7
54
8
Answer: A
Question: 9 - 3 ÷ 1/3 + 1 = ?
Choices:
1
6
9
12
Answer: A
Question: In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 72%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?
Choices:
2
3
4
5
Answer: C
Question: A basket contains 7 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
Choices:
2/7
2/9
3/5
4/11
Answer: A
Question: Find the number of elements in the power set of {1,2}
Choices:
4
2
3
5
Answer: A
Question: A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 8 is
Choices:
189
221
227
230
Answer: A
Question: The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Choices:
27 cm2
29 cm2
25 cm2
35 cm2
Answer: D
Question: A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 5 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
Choices:
2,100
5,040
20,520
84,000
Answer: A
Question: Two cars start from the same places in opposite directions. One is going towards north at 60 kmph and the other is going towards south 40kmph. What time will they take to be 100km apart?
Choices:
1hr
3hrs
4hrs
5hrs
Answer: A
Question: Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team Z, but each box of Team A’s has 60% fewer booklets than each box of Team Z’s. Which of the following could be the total number of booklets distributed by the two groups?
Choices:
3,200
4,100
4,800
4,900
Answer: B
Question: Which of the following can be expressed as a terminating decimal?
Choices:
1/225 + 1/1,250
1/11,000 + 1/13,000
1/75 + 1/35
1/125 + 1/8
Answer: D
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: Oranges are bought at 7 for Rs.3. At what rate per hundred must they be sold to gain 33%?
Choices:
57
59
54
55
Answer: A
Question: The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 10%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Choices:
40
35
47.61
30
Answer: C
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Choices:
1/122
1/129
1/136
1/126
Answer: D
Question: The average of 12 result is 55. Average of the first 6 of them is 42 and that of the last 6 is 48. Find the 8th result?
Choices:
564
526
48
50
Answer: A
Question: After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member ?
Choices:
13
14
15
16
Answer: C
Question: If x = a!, which of these following values of a is the least possible value (in this list) for which the last 8 digits of the integer x will all be zero?
Choices:
29
37
41
80
Answer: B
Question: Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
Choices:
$46
$48
$49
$41
Answer: B
Question: If logx y =100 and log2 x =10, then the values of y is
Choices:
2 (100)
2 (1000)
2 (10000)
None of these
Answer: C
Question: P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
Choices:
9 (3/5) days
11 1/5 days
13 days
13 1/7
Answer: A
Question: In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 7 women?
Choices:
7C4 7C5
7C5 9C4
9C4 7C5
NONE
Answer: A
Question: Each week, Harry is paid x dollars per hour for the first 24 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?
Choices:
36
37
38
39
Answer: A
Question: At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/8 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
Choices:
8 greater
28 fewer
36 fewer
44 fewer
Answer: A
Question: To produce an annual income of Rs. 800 from a 8% stock at 90, What is the amount of stock needed?
Choices:
10000
12000
13000
14000
Answer: A
Question: In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Choices:
67 kg
68 kg
69 kg
None of these
Answer: A
Question: The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference would have been how much?
Choices:
40
120
360
420
Answer: C
Question: Carrie likes to buy t-shirts at the local clothing store. They cost $9.95 each. One day, she bought 20 t-shirts. How much money did she spend?
Choices:
$248.75
$199
$171.6
$190
Answer: B
Question: A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back, how far is the place?
Choices:
4.8 km
3.4 km
4.4 km
5.6 km
Answer: A
Question: A van takes 5 hours to cover a distance of 600 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time?
Choices:
80
88
92
96
Answer: A
Question: The sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the eldest child ?
Choices:
16 year
10 year
None of these
9 year
Answer: A
Question: A batsman makes a score of 110 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.
Choices:
50
60
45
56
Answer: B
Question: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Choices:
48000
42000
50400
65400
Answer: C
Question: In a factory, there are 80% technicians and 20% non-technicians. If the 80% of the technicians and 20% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choices:
68%
52%
22%
42%
Answer: A
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund?
Choices:
85000
75000
72000
77000
Answer: C
Question: The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then
Choices:
x = y + z
2x = y + z
x = 2y + 2z
x = y + 2z
Answer: B
Question: In how many ways 2 students can be chosen from the class of 20 students?
Choices:
190
240
390
None
Answer: A
Question: 1939392 * 625
Choices:
1212120000
1212120011
1212121010
1212121000
Answer: A
Question: In how many different number of ways 4 man and 3 woman can sit on a bench such that girls always sit together.
Choices:
720
730
750
770
Answer: A
Question: Two employees X and Y are paid a total of Rs. 440 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Choices:
s.200
s.250
s.350
s.400
Answer: A
Question: Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case
Choices:
4
9
13
15
Answer: A
Question: A cube of side one meter length is cut into small cubes of side 20 cm each. How many such small cubes can be obtained?
Choices:
2778
1000
120
125
Answer: D
Question: A man sold 18 toys for Rs. 25200, gaining thereby the cost price of 3 toy find the cost price of a toy
Choices:
s. 800
s.500
s.900
s. 1200
Answer: D
Question: If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 850, how many terms that are smaller than 625 are there in the sequence?
Choices:
5
8
12
13
Answer: A
Question: 23,8,34,81,33,...
Choices:
25
26
27
28
Answer: C
Question: If 2ab - 3c = 2a(b - c), which of the following must be true?
Choices:
a=3/2 and c=0
b=1 and c=0
a=1 or b=0
a=1/2 or c=0
Answer: A
Question: Anita has 360 apples. There are 60 students are studying in her class. She would like to give each student the same amount of apples, how much should she give to each student?
Choices:
6
9
15
7
Answer: A
Question: Find the length of the wire required to go 11 times round a square field containing 27889 m2.
Choices:
7348
2667
8766
66711
Answer: A
Question: Mary received a 20% raise each month for three consecutive months. What was her salary after the three raises if her starting salary was $1,000 per month?
Choices:
$1,500
$1,631
$1,728
$1,863
Answer: C
Question: Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 8 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
Choices:
5
10
12
15
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
5 days
3 days
2 days
Answer: A
Question: A can contains a mixture of liquids A and B is the ratio 7:5. When 15 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
Choices:
35
40
45
50
Answer: A
Question: The compound interest on Rs. 20,000 at 8% per annum is Rs. 3,328. What is the period (in year)?
Choices:
4 years
3 years
2 years
5 years
Answer: C
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Choices:
27
30
32
34
Answer: A
Question: How many 7s are there in the following series which are not immediately following by 3 but immediately preceded by 8?
8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 3 7 7 9 4
Choices:
One
Two
Three
More than three
Answer: B
Question: Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 30 in two years, at the same percent rate per annum?
Choices:
s. 20
s. 42
s. 20
s. 60
Answer: A
Question: Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
Choices:
28 sec
12 sec
77 sec
66 sec
Answer: B
Question: If the function Q is defined by the formula Q = 5w/(4m(z^2)), by what factor will Q be multiplied if w is quadrupled, m is doubled, and z is tripled?
Choices:
2/9
4/9
3/9
2/27
Answer: A
Question: Three partners A,B & C invested total Rs. 1,15,000. After one year one olhem gets a profit of Rs.6000, second gets Rs. 10,000 and third gets Rs. 14000 then how much amount did B invested?
Choices:
Rs.40,000
Rs.20,000
Rs.50,000
none
Answer: D
Question: (74 + 75 + 76 + 77 + ..... + 149 + 150) = ?
Choices:
8624
8654
8644
8677
Answer: A
Question: Rectangular tile each of size 45cm by 50cm must be laid horizontally on a rectangular floor of size 250cm by 180cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
Choices:
40
25
18
20
Answer: D
Question: The speeds of three motor bikes are in the ratio 12 : 4 : 6. The ratio between the time taken by them to travel the same distance is :
Choices:
1 : 4 : 2
1 : 2 : 2
1 : 3 : 3
1 : 3 : 2
Answer: D
Question: Vijay bought 160 shirts at the rate of Rs. 245 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs. 270
Rs. 277.5
Rs. 309
None of these
Answer: C
Question: John has on his shelf one books of poetry, seven novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?
Choices:
2/5
3/10
7/20
14/45
Answer: D
Question: Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
Choices:
55
14
33
99
Answer: B
Question: A man cheats while buying as well as while selling. While buying he takes 11% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight.
Choices:
20%
37.5%
25%
42.86%
Answer: D
Question: The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall.
Choices:
40
28
27
12
Answer: A
Question: There are 5,280 feet in 1 mile and 10 inches in one foot. How many inches are in a mile?
Choices:
5,280/12
12(5,280)
12^2(5,280)
10*5,280
Answer: D
Question: What is the remainder when 5990990900032 is divided by 32 ?
Choices:
8
0
2
3
Answer: B
Question: A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?
Choices:
25%
29%
55%
45%
Answer: A
Question: if integer N has p factors ; how many factors will 8N have ?
Choices:
2p
P+1
2p+1
Cannot be determined
Answer: D
Question: Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 9 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
Choices:
90
30
70
60
Answer: A
Question: A, B and C start a business, each investing Rs. 30,000/-. After 4 months A withdrew Rs. 10,000/-, B Rs. 6,000/- and C invested Rs 8000/- more. At the end of the year, a total profit of Rs. 69,000/-was recorded. What is the share of B?
Choices:
Rs. 21,600/-
Rs. 21,000/-
Rs. 21,200/-
None of these
Answer: B
Question: If the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit?
Choices:
15%
20%
25%
30%
Answer: B