antoine-444/aqua_rat_dataset huggingface dataset:
Question: In how many different ways can 6 identical blue pants and 6 identical red pants be shared among 12 children such that each child receives a pant?
Choices:
4790016
479001
47900160
479001600
Answer: D
Question: P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Choices:
17:3
17:1
17:9
17:4
Answer: A
Question: Mamuni went to the movies nine days ago. She goes to the movies only on Thursday. What day of the week is today?
Choices:
Tuesday
Thursday
Saturday
Friday
Answer: C
Question: Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined Bobby had:
Choices:
A profit of $8
A loss of $8
A loss of $10
Neither a profit nor a loss
Answer: B
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
Choices:
5/9
5/6
5/4
5/2
Answer: A
Question: A train 125 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
Choices:
50
88
65
54
Answer: D
Question: If an object travels at three feet per second, how many feet does it travel in one hour?
Choices:
10800
12788
1800
2881
Answer: A
Question: In how many ways can 7 people, A, B, C, D, E, F, G be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
Choices:
396
576
4944
696
Answer: C
Question: The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Choices:
18/35
18/78
18/33
18/28
Answer: A
Question: a person purchased four cloth average price of cloth is 300.price of its three cloths are 350,400,200 respectively what will be the price of fourth cloth?
Choices:
250
200
400
275
Answer: A
Question: Mrs. Mary. invested $36,000; part at 5%, and part at 8%. The total interest on the investment was $2,520. How much did she invest at each rate?
Choices:
x=$16,000, y =$32,000
x=$12,000, y =$24,000
x=$5,000, y =$10,000
x=$13,000, y =$26,000
Answer: B
Question: Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour?
Choices:
10
9
8
7
Answer: B
Question: What is the difference between the compound interest on Rs.12000 at 30% p.a. for one year when compounded yearly and half yearly?
Choices:
383
270
288
133
Answer: B
Question: Of three numbers, the third is twice the first and the second is 4 times the first. If their average is 77, the smallest of the three numbers is:
Choices:
25
20
32
33
Answer: D
Question: A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
Choices:
8 days
2 days
12 days
6 days
Answer: D
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.48, find the sum of money?
Choices:
262
246
205
267
Answer: B
Question: The ratio between the current age of A and B is 6:7. If B is 4 years old than A. What will be the ratio of the ages of A and B after 4 years?
Choices:
7:8
4:6
4:8
5:8
Answer: A
Question: How many seconds does Sandy take to cover a distance of 700 meters, if Sandy runs at a speed of 18 km/hr?
Choices:
120
140
160
180
Answer: B
Question: Company P had 15 percent more employees in December than it had in January. If Company P had 500 employees in December, how many employees did it have in January?
Choices:
435
410
423
445
Answer: A
Question: Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 25 hours after they passed each other the ratio of the speeds of the two trains was
Choices:
3:2
4:3
5:2
1:2
Answer: C
Question: Two-fifths of thirty per cent of one-fourth of a number is 15. What is 20 per cent of that number?
Choices:
150
100
120
None of these
Answer: B
Question: Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
Choices:
15 kmph
12 kmph
16 kmph
18 kmph
Answer: B
Question: At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. What is the difference between the percentages of apples left in the two market stalls?
Choices:
37%
38%
35%
40%
Answer: C
Question: If 2^5, 3^3, and 14^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Choices:
39
42
65
168
Answer: D
Question: If a car went the first third of the distance at 60 kmh, the second third at 24 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
Choices:
38 kmh
42 kmh
44 kmh
50 kmh
Answer: A
Question: A candidate appearing for an examination has to secure 35% marks to pass paper I. But he secured only 42 marks and failed by 23 marks. What is the maximum mark for paper I?
Choices:
120
186
140
150
Answer: B
Question: A man swims downstream 42 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
6
10
Answer: D
Question: Suppose you want to buy three loaves of bread that cost $2.25 each
and a jar of peanut butter that costs $2. A jar of jelly is $2.75, but you
donâ€™t need any jelly. You have $14. How much money will you have left
over?
Choices:
$2.50
$5.25
$4.50
$5.50
Answer: B
Question: A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 600. Find the sum?
Choices:
7029
2778
2800
5000
Answer: D
Question: A number is divided by 406 leaves remainder 115 , What will be the reminder when it will be divided by 29?
Choices:
28
27
26
81
Answer: A
Question: The average of 11 results is 42, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Choices:
156
144
125
123
Answer: B
Question: The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
Choices:
432
252
992
212
Answer: A
Question: A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 2 a rupee. Find his net profit or loss percent?
Choices:
30 %
50 %
150 %
33%
Answer: C
Question: The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is :
Choices:
Rs. 1764
Rs. 1575
Rs. 2268
None of these
Answer: A
Question: What will come in place of the x in the following Number series? 2, 7, 10, 22, 18, 37, 26, x
Choices:
35
36
42
52
Answer: D
Question: What is the smallest of six consecutive odd integers whose average (arithmetic mean) is b + 2?
Choices:
b -3
b- 1
b
b+ 1
Answer: A
Question: 5% of (25% of $1600) is?
Choices:
$20
$45
$15
$60
Answer: A
Question: The volume of a cube is 343 cc. Find its surface.
Choices:
556
294
287
267
Answer: B
Question: Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.5, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?
Choices:
3
18
20
21
Answer: A
Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
Choices:
175
210
245
280
Answer: C
Question: a, b are positive integers. The remainder of a to be divided by 5 is 4 and the remainder of b to be divided by 3 is 1
Which is possible to be the remainder of a*b to be divided by 24
Choices:
b) 4
c) 8
d) 12
e) 20
Answer: A
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 12 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
B)2
C)18
D)16
E)13.21
Answer: D
Question: The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
Choices:
20cm
30 cm
40 cm
50 cm
Answer: A
Question: In a company of 200 employees, 120 are females. A total of 100 employees have advanced degrees and the rest have a college degree only. If 40 employees are males with a college degree only, how many employees are females with advanced degrees?
Choices:
60
80
90
100
Answer: A
Question: The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages?
Choices:
16, 28, 36
16, 28, 39
16, 28, 34
16, 28, 31
Answer: A
Question: Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
24/7 hr
1hr
9/7hr
5/3hr
Answer: A
Question: A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calculated D to be 20 on Wednesday, what would be the value of D calculated on the following Saturday?
Choices:
3400
3800
4200
4500
Answer: C
Question: A hall is 15 meters long and 15 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?
Choices:
1250.5
1465.5
1687.5
1824.5
Answer: C
Question: A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?
Choices:
3.75
3.79
3.74
3.71
Answer: A
Question: Possible arrangements for the word REVIEW if one E can't be next to the other.
Choices:
200
300
400
500
Answer: B
Question: A ball team plays games only against the other five teams in its league and always in the following order: John, Paul, George, Ringo and Pete. If the team’s final game of the season is against Ringo, which of the following could be the number of games in the team’s schedule?
Choices:
12
24
72
81
Answer: B
Question: The radius of the wheel of a bus is 70 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
Choices:
250
300
330
None of these
Answer: A
Question: A grocer has a sale of Rs. 5266, Rs. 5744, Rs. 5864, Rs. 6122 and Rs. 6588 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5750?
Choices:
4076
4816
4916
5916
Answer: C
Question: The simple interest and the true discount on a certain sum for a given time and at a given rate are Rs. 90 and Rs. 80 respectively. The sum is:
Choices:
1450
720
1800
None
Answer: B
Question: How many different ways can you select a pilot and a co pilot if you have 80 people to choose from?
Choices:
200
398
4950
6320
Answer: D
Question: If B and C are digits and 8BC is a 3-digit number that is divisible by 4, which of the following is a possible product of B and C?
Choices:
2
5
6
14
Answer: B
Question: A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 45, what is the total amount?
Choices:
116
195
118
119
Answer: B
Question: If (260)(3,000) = (78)(1,000^c), what is the value of c?
Choices:
4
3
2
1
Answer: C
Question: The area of an isosceles trapezoid with sides of length 5 and bases of length 7 and 13 is?
Choices:
40
42
43
44
Answer: A
Question: Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 150 pages?
Choices:
11 hours 15 mins
9 hours
7 hours
6 hours
Answer: A
Question: Eight persons in an organization including X and Y were to be divided in two groups of 4 members each. The total number of groups containing both X and Y is what fraction of the total number of groups which can be formed?
Choices:
3/14
4/14
1/10
11/14
Answer: A
Question: Henry has to secure 70% marks to clear his exam of class 6th.
He got 110 marks and failed by 100 marks.
What is the maximum marks ?
Choices:
300
400
500
600
Answer: A
Question: In which year was the difference between Jyothi's and Arun's monthly income the second highest?
Choices:
66
27
28
11
Answer: D
Question: The price of 3 pants and 6 t-shirts is Rs. 750. With the same money one can buy 1 pant and 12 t-shirts. If one wants to buy 8 t-shirts, how much shall she have to pay ?
Choices:
250
400
450
550
Answer: B
Question: Each of the integers from 0 to 8, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9?
Choices:
4
5
6
7
Answer: C
Question: x and y are positive integers. If xy + 3x is odd, then which of the following must be even?
Choices:
y
3 + y
xy − x
x^2 − y
Answer: B
Question: Evaluate : 2.5 + 0.0005
Choices:
3000
1000
5000
4000
Answer: C
Question: The least number which when divided by 2, 3, 5 and 6 leaves a remainder 3, but when divided by 9 leaves no remainder, is
Choices:
63
73
83
None of these
Answer: A
Question: Which of the following expressions CANNOT have a negative value
Choices:
|a + b| + |a – b|
|2a + b| – |a + b|
a^2 - b^2 – 2|ab|
|a^3 + b^3| – a – b
Answer: A
Question: In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 16 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choices:
105%
120%
124.2%
128%
Answer: D
Question: Two identical circles intersect such that their centers and the points at which they intersect form a square of side 2 cm. What is the area of the region where the two circles intersect?
Choices:
2pi - 4
4 - pi
4 - pi/2
2 - pi/4
Answer: A
Question: Probability of Cristiano Ronaldo scoring a penalty is twice than the probability of missing it. In a World cup he takes 5 penalties, What is the probability of scoring 3 penalties among the 5?
a) 5 *2 *((2/3)^3 * (1/3)^2)
b) 1-((2/3)^3 * (1/3)^2)
c) 1-((2/3)^2 * (1/3)^3)
d) None of the above.
Choices:
5 *2 *((2/3)^3 * (1/3)^2)
5 *2 *((2/3)^3 * (1/3)^7)
5 *2 *((2/3)^3 * (1/3)^5)
5 *2 *((2/3)^3 * (1/3)^1)
Answer: A
Question: The sum of two numbers is 66. How much should be added to the sum for it to be exactly divisible by 9 leaving 0 as the reminder?
Choices:
6
8
9
1
Answer: A
Question: A completes a work in 6 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
4 days
21 days
22 days
24 days
Answer: A
Question: In May, the grounds keeper at Spring Lake Golf Club built a circular green with an area of 64π square feet. In August, he doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
Choices:
144PI
196PI
256PI
78
Answer: C
Question: A can do a piece of work in 18 days, B in 27 days, C in 36 days. They start worked together . But only C work till the completion of work. A leaves 4 days and B leaves 6 days before the completion of work. In how many days work be completed?
Choices:
12
14
13
11
Answer: A
Question: A goods train runs at the speed of 72 km/hr and crosses a 280 m long platform in 26 sec. What is the length of the goods train?
Choices:
166
151
240
109
Answer: C
Question: If x and y are different prime numbers, each greater than 4, which of the following must be true?
I. x+y is an even integer
II. xy is an odd integer
III. (x/y) is not an integer
Choices:
I,II and III
I only
II only
I,II only
Answer: A
Question: The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Choices:
4 years
10 years
12 years
None of these
Answer: A
Question: A certain sum of money at simple interest amounted Rs.645 in 12 years at 5% per annum, find the sum?
Choices:
403
500
340
455
Answer: A
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
Choices:
66
77
30
88
Answer: C
Question: There are 11 women and 8 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
Choices:
720
1,540
1,520
1,980
Answer: B
Question: a and b are positive integers less than or equal to 9. If a and b are assembled into the six-digit number abab, which of the following must be a factor of abab?
Choices:
4
5
6
none of the above
Answer: A
Question: An alloy of copper and zinc contains copper and zinc in the ratio 3 : 5. Another alloy of copper and zinc contains copper and zinc in the ratio 6 : 2. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Choices:
1:2
2:5
2:6
2:7
Answer: A
Question: By selling 15 pencils for a rupee a man loses 25%. How many for a rupee should he sell in order to gain 25%?
Choices:
9
7
6
4
Answer: A
Question: Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is
Choices:
11
15
17
19
Answer: A
Question: A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 5% higher then what would the sum amount in the same time period?
Choices:
Rs. 3683
Rs. 3596
Rs. 3857
None of these
Answer: C
Question: A school bus travels from Veldhoven to Roosendaal. There are four children in the bus. Each child has four backpacks with him. There are four dogs sitting in each backpack. Every dog has four puppies with her. All these dogs have four legs, with four toes at each leg.
What is the total number of toes in the bus?
Choices:
5170
4902
4490
5538
Answer: A
Question: An oblong piece of ground measures 19m 2.5dm by 12m 5dm. From the centre of each side a path 2m wide goes across to the centre of the opposite side. Find the cost of paving these paths at the rate of rs.1.32 per sq m?
Choices:
Rs. 78.65
Rs 54.75
Rs. 344
Rs. 34.4
Answer: A
Question: x and y are positive integers. When x is divided by 17, the remainder is 3, and when x is divided by 19, the remainder is 1. When y is divided by 14, the remainder is 5, and when y is divided by 21, the remainder is 12. What is the least possible value of y - x?
Choices:
13
11
14
18
Answer: A
Question: Insert the missing number
100,91,....,76,70
Choices:
83
84
81
80
Answer: A
Question: 1/(√2-1)=?
Choices:
9-4√5
√2+1
9-2√5
4+9√5
Answer: B
Question: what will be the next number in the following series??
4,18,...,100,180,294
Choices:
36
40
44
48
Answer: D
Question: Two machines, Y and Z, work at constant rates producing identical items. Machine Y produces 13 items in the same time Machine Z produces 14 items. If machine Y takes 28 minutes to produce a batch of items, how many minutes does it take for machine Z to produce the same number of items?
Choices:
26
9 1/2
12
13 1/2
Answer: A
Question: A sequence consists of 16 consecutive even integers written in increasing order. The sum of the first 8 of these even integers is 472. What is the sum of the last 8 of the even integers?
Choices:
594
600
606
612
Answer: B
Question: Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 15,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Choices:
1.25 million
10 million
12.2 million
125 million
Answer: C
Question: The sum of all the integers s such that -26 < s < 24 is
Choices:
-2
-25
-49
-51
Answer: C
Question: If (x – 2)^2 = 144, which of the following could be the value of 2x?
Choices:
–22
–11
12
-20
Answer: D
Question: 3 workers transfer a tool weighing 120kg in 12 seconds. How many men are required to transfer it in 9 seconds?
Choices:
4
6
7
8
Answer: A
Question: A batch of cookies was divided amomg 6 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
Choices:
9/4
5/9
5/7
9/7
Answer: C
Question: Each child has 12 crayons and 24 apples. If there are 18 children, how many crayons are there in total?
Choices:
65
216
219
230
Answer: B
Question: A bag is bought for Rs.400 and sold at a gain of 35% find its selling price
Choices:
B)Rs.470/-
C)Rs.480/-
D)Rs.500/-
E)Rs.520/-
Answer: D
Question: If x and y are different prime numbers, each greater than 8, which of the following must be true? I. x+y is an even integer II. xy is an odd integer III. (x/y) is not an integer
Choices:
I,III only
II,III only
I,II and III
II only
Answer: C
Question: In an examination, 25% of total students failed in Hindi, 35% failed in English and 40% in both. The percentage of these who passed in both the subjects is :
Choices:
20%
60%
80%
50%
Answer: C
Question: Ramesh starting from a fixed point goes 15 km towards North and then after turning to his right he goes 15 km. then he goes 10, 15 and 15 metres after turning to his left each time. How far is he from his starting point?
Choices:
9 km
10 km
11 km
12 km
Answer: B
Question: Copper is 7 times as heavy as water and gold is 13 times as heavy as water. In what ratio should these be mixed to get an alloy 11 times as heavy as water ?
Choices:
1 : 2
2 : 3
3 : 2
3 : 1
Answer: A
Question: A train running at the speed of 60 km/hr crosses a pole in 12 seconds. What is the length of the train?
Choices:
200 metres
324 metres
228 metres
150 metres
Answer: A
Question: The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B?
Choices:
31 kg
32 kg
30 1/2 kg
32 kg
Answer: A
Question: A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is?
Choices:
83.33 ml
77.33 ml
22.33 ml
18.33 ml
Answer: A
Question: Three years ago the average age of a class of six members was 23 years. A boy have been added, the average age of the class is the same today. What is the age of the boy?
Choices:
B)2
C)3
D)4
E)5
Answer: D
Question: A train 220 m long is running with a speed of 90 km/hr. In what time will it pass a bus that is running with a speed of 60 km/hr in the direction opposite to that in which the train is going?
Choices:
5.28
6.75
8
3.1
Answer: A
Question: 50 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
Choices:
90 litres
100 litres
170 litres
None of these
Answer: B
Question: There are 5 bags three of which each contains 4 white and 2 black balls, and remaining 2 bags each contains 1 white and 4 black ball; a white ball has been drawn, find the chance that it came from first group.
Choices:
6/35
8/25
5/6
3/5
Answer: C
Question: In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1400 employees, then the no. of female employees who are computer literate ?
Choices:
588
672
960
None
Answer: A
Question: 9 - 3 ÷ 1/3 + 5 = ?
Choices:
5
6
9
12
Answer: A
Question: a product of ages of ankit and nikita is 240. if twice the age of nikita is more than ankit's by 4 years. what is the nikita's age?
Choices:
12yrs
14yrs
15yrs
11yrs
Answer: A
Question: The average weight of 22 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
Choices:
48.89
50
51.25
52.25
Answer: A
Question: An seller earns an income of Re 3 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 15th day of business, he earns an income of:
Choices:
22
25
20
36
Answer: D
Question: It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 3 cms, How much did it rain on Wednesday?
Choices:
10.5
10.2
10.1
10.6
Answer: A
Question: Find the value of x from the below equation? : 3x^2+5x+2 = 0
Choices:
-1
2
3
4
Answer: A
Question: Of the science books in a certain supply room, 50 are on botany, 55 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
Choices:
159
166
285
314
Answer: D
Question: The average weight of 8 girlsincreases by 2.5 kg when a new gitl comes in place of one of them weighing 65 kg. What might be the weight of the new girl?
Choices:
75 kg
85 kg
90 kg
92 kg
Answer: B
Question: If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 7000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is ready for college?
Choices:
$28000
$12000
$10000
$9000
Answer: A
Question: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina
Choices:
9/56
15/56
35/120
25/56
Answer: C
Question: A train crosses a platform in 25 sec, same train crosses another platform of length 400 m in 30 sec. If the length of the train is 200m , find the length of the platform?
Choices:
180m
350m
300m
267m
Answer: C
Question: In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choices:
12.1
12.3`
12.6
12.5
Answer: C
Question: A number x is 6 times another number y. The percentage that y is less than x is
Choices:
83.3%
80%
11%
1%
Answer: A
Question: A football player scores 4 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be
Choices:
6
8
10
16
Answer: D
Question: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ?
Choices:
500
287
179
112
Answer: A
Question: Rahul can do a work in 3 days while Rajesh can do the same work in 2days. Both of them finish the work together and get $170. What is the share of Rahul?
Choices:
$68
$60
$100
$90
Answer: A
Question: The function F(n) is defined as the product of all the consecutive positive integers between 2 and n^2, inclusive, whereas the function G(n) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. The exponent on 2 in the prime factorization of F(3)/G(3) is
Choices:
2
3
4
5
Answer: B
Question: S is a set of 85 consecutive multiples of 5. If the smallest number in S is 90, then the greatest number in S is
Choices:
597
599
402
510
Answer: D
Question: Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 9. What is the value of x?
Choices:
60
100
120
150
Answer: A
Question: One day a car rental agency rented 3/4 of its cars, including 2/3 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
Choices:
2/3
3/4
4/5
5/6
Answer: C
Question: To produce an annual income of Rs. 1200 from a 12 % stock at 90,the amount of stock needed is :
Choices:
Rs. 10,000
Rs. 14,400
Rs. 16,000
Rs. 46,000
Answer: A
Question: .007/?= .01
Choices:
.7
.007
.0007
None of them
Answer: A
Question: A and B have monthly incomes in the ratio 5:6 and monthly expenditures in the ratio 3:4. If they save Rs. 1800 and Rs. 1600 respectively, find the monthly income of B
Choices:
Rs. 2700
Rs. 1720
Rs. 7200
Rs. 8200
Answer: C
Question: John has 10 pairs of matched socks. If he loses 9 individual socks, what is the greatest number of pairs of matched socks he can have left?
Choices:
6
5
4
3
Answer: B
Question: Jim takes a seconds to swim d meters at a constant rate from point P to point Q in a pool. Roger, who is faster than Jim, can swim the same distance in b seconds at a constant rate. If Jim leaves point P the same time that Roger leaves point Q, how many fewer meters will Jim have swum than Roger when the two swimmers pass each other?
Choices:
d(a-b)/a+b
c(a+b)/a-b
ab(a-b)/a+b
ab(b-a)/a+b
Answer: A
Question: In the first 10 overs of a cricket game, the run rate was only 3.4. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Choices:
5
6.2
7
7.5
Answer: B
Question: Which of the following equations describes a line that is perpendicular to y=x-7?
Choices:
y = −5 − x
y = 7x
y = 7x+1
y = 1/x - 7
Answer: A
Question: A taxi company with a fleet of 50 taxis, plans to replace all their taxis with electric cars. Every year it retires 10 of their old taxis and buys 12 electric cars to replace them. How many years will it take to reduce their old taxi fleet to below 50% of their entire fleet if they started in 2003.
Choices:
3
1
2
10
Answer: A
Question: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Choices:
600 ways
767 ways
762 ways
672 ways
Answer: A
Question: If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.
Choices:
8 km
6km
4km
7 km
Answer: B
Question: If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?
Choices:
3 to 2
2 to 1
5 to 1
6 to 1
Answer: D
Question: A husband and wife can complete a certain task in 1 and 3 hours respectively. Their children, Rae and Herman, can complete the same task in 4 and 6 hours, respectively. What is the ratio of the couple's time working together to complete the task to the children's time working together to complete the task?
Choices:
b)3:10
c)12:23
d)5:16
e)10:3
Answer: C
Question: How many different committees each composed of 2 Republicans and 3 Democrats can be formed from a group of 4 Republicans and 5 Democrats?
Choices:
24
60
72
120
Answer: B
Question: 10^25 - 260 is divisible by all of the following except:
Choices:
B.8
C.5
D.4
E.2
Answer: A
Question: M = {-6, -5, -4, -3, -2}
T = {-2, -1, 0, 2, 3}
If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
Choices:
1/3
2/5
1/2
3/5
Answer: B
Question: A train 600 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 15 seconds. The speed of the train is:
Choices:
149 km/hr
54 km/hr
55 km/hr
56 km/hr
Answer: A
Question: 3/4th of a number exceeds its 2/3rd by 8. What is the number?
Choices:
96
72
144
146
Answer: A
Question: If p/q =4/5, then the value of 18/7 + {(2q - p) / (2q + p)} is ?
Choices:
34
1
2
3
Answer: D
Question: The total age of A and B is 13 years more than the total age of B and C. C is how many years younger than A?
Choices:
13
C is elder than A
Data inadequate
None
Answer: A
Question: A group consists of 7 men, 7 women and 6 children. In how many ways can 2 men , 1 woman and 2 child selected from the given group?
Choices:
2205
2215
2230
2245
Answer: A
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 45%?
Choices:
887
256
654
725
Answer: D
Question: Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3795. What is the difference between Rohan’s and Sudhir’s share in the profit?
Choices:
s.345
s.352
s.362
s.368
Answer: A
Question: The average weight of a group of 30 friends increases by 3 kg when the weight of their 3 football coaches was added. If average weight of the group after including the weight of the 3 football coach is 33 kg, what is the average weight of their football coaches ?
Choices:
63 kg
61 kg
62 kg
91 kg
Answer: A
Question: Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?
Choices:
22 years
25 years
27 years
29 years
Answer: B
Question: Two members of a club are to be selected to represent the club at a national meeting. if there are 120 different possible selections of the 2 members, how many members does the club have?
Choices:
27
16
57
95
Answer: B
Question: In covering a distance of 15 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
Choices:
8 km/h
10 km/h
15 km/h
2.5 km/h
Answer: D
Question: If x = 8 and y = −2, what is the value of (x − 2y)^y?
Choices:
0.007
0.25
4
8
Answer: A
Question: When 12 + 10 = 1205, 11 + 8 = 885, then 16 + 15 = ?
Choices:
2405
2463
2631
3425
Answer: A
Question: You have a bag of 9 letters: 3 Xs, 3 Ys and 3 Zs. You are given a box divided into 3 rows and 3 columns for a total of 9 areas. How many different Y ways can you place one letter into each area such that there are no rows or columns with 2 or more of the same letter?
Choices:
6
9
12
18
Answer: C
Question: Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long Q would it have taken for him to walk both ways.
Choices:
8 h 45 min
6 h 45 min
5 h 30 min
None of these
Answer: A
Question: I. a2 + 11a + 30 = 0,
II. b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
Choices:
If a ≤ b
If the relationship between a and b cannot be established
If a > b
If a ≥ b
Answer: A
Question: A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Choices:
8
9
1
6
Answer: A
Question: What is the highest integer that is the sum of 2 distinct prime integers, each lesser than 60 ?
Choices:
112
113
129
136
Answer: A
Question: What is the angle between the minute and the hour hand of the clock which shows 12:24?
Choices:
120
124
130
132
Answer: D
Question: In a certain game there are 10 steps, referred to as step 1, step 2, and so on with the final step being step 10. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Mary played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Andrea could have gotten?
Choices:
28
24
32
30
Answer: D
Question: The only items of clothing at Michelle’s Boutique are 4 shirts, 8 pairs of pants and 18 ties. What is the probability of randomly selecting 2 ties out of all the items in Michelle’s Boutique?
Choices:
51/145
3/5
94/145
5/6
Answer: A
Question: If 20 liters of chemical X are added to 80 liters of a mixture that is 15% chemical X and 85% chemical Y, then what percentage of the resulting mixture is chemical X?
Choices:
32%
35%
38%
40%
Answer: A
Question: If d is the standard deviation a, b, and c, what is the standard deviation of a +2, b + 2, c + 2 ?
Choices:
d
2d+2
8d
2d+4
Answer: A
Question: Of the 150 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 10 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Choices:
10
50
80
100
Answer: A
Question: Simplify
16âˆ’[2âˆ’(6+2(7âˆ’8âˆ’5Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯Â¯))]
Choices:
25
28
30
32
Answer: B
Question: Three investors, A, B, and C, divide the profits from a business enterprise in the ratio of 5 : 7 : 8, respectively. If investor A earned $ 2,000, how much money did investors B and C earn in total?
Choices:
$6,000
$5,600
$9,500
$10,500
Answer: A
Question: Sandy walks around a circular field at the rate of one round per hour while Molly runs around it at the rate of seven rounds per hour. If they start in the same direction from the same point, how many minutes will it take until they meet again?
Choices:
8
10
12
15
Answer: B
Question: In each term of a sequence, 5 is added to get the next term. If the first term is 3, what is the seventy-first term?
Choices:
353
312
360
387
Answer: A
Question: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?
Choices:
1
2
3
4
Answer: C
Question: 8 x 2.25- 5 x 0.85/2.5= ?
Choices:
10
5
5.5
7.5
Answer: C
Question: Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?
Choices:
40/9 hours
9 hours
16 hours
20 hours
Answer: A
Question: David bought 4 pens with the average cost of $2. If David also buys the fifth pen with the price of $ 3, what is the average (arithmetic mean) price of those 5 pens?
Choices:
$2
$3.2
$4
$5.2
Answer: A
Question: What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.?
Choices:
rs.601
rs.602
rs.603
None of these
Answer: B
Question: The ratio between the speeds of two trains is 7: 8. If the second train runs 440 kms in 4 hours, then the speed of the first train is:
Choices:
57.19 km/hr
68.13 km/hr
96.25 km/hr
89.16 km/hr
Answer: C
Question: If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes ?
Choices:
3/4
1/4
1/8
1/16
Answer: A
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
278
281
280
219
Answer: C
Question: The speed of the boat in still water is 12km/hr. and the speed of the stream is 3km/hr. Find the distance travelled downstream in 12 minutes.
Choices:
180 km
190 km
170 km
140 km
Answer: A
Question: If 64(8^x) = 1 then x=
Choices:
–1
0
1
-2
Answer: D
Question: What will be the cost of building a fence around a square plot with area equal to 64 sq ft, if the price per foot of building the fence is Rs. 58?
Choices:
2882
2999
1856
2121
Answer: C
Question: John is filling out the office space for his employees. There are 8 people in his office, and he must assign 8 employees to the following positions: 2 next to his cabin, 2 near the gate, 2 in center, and 2 near coffee machine. Only 2 employees are secretary and can sit next to his cabin, and they cannot sit anywhere else. The other employees can sit anywhere they like. How many different groupings are possible?
Choices:
90
80
70
60
Answer: A
Question: What least number should be subtracted from 13605 such that the remainder is divisible by 87 ?
Choices:
29
28
30
33
Answer: D
Question: A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Choices:
7/11
7/10
7/21
7/15
Answer: D
Question: A 9% stock yields 25%. The market value of the stock is:
Choices:
Rs 25
Rs 40
Rs 39
Rs 36
Answer: D
Question: The age of Amit is 3 times that of his son. 15 years ago, Amit was 9 times as old as his son, What will be the age of Amit after 15 years?
Choices:
60 years
75 years
65 years
None of these
Answer: B
Question: The second day of a month is Friday, What will be the last day of the next month which has 31 days?
Choices:
Saturday
Wednesday
Data inadequate
None of these
Answer: C
Question: Find the odd man out. 0,3,7,15,24
Choices:
8
9
6
14
Answer: A
Question: A regular hexagon is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ?
Choices:
60 degrees
72 degrees
84 degrees
108 degrees
Answer: A
Question: A box measuring 49 inches long by 21 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:
42
54
108
864
Answer: A
Question: If 20% of a = b, then b% of 20 is the same as :
Choices:
4% of a
8% of a
10% of a
15 of a
Answer: A
Question: What is the total surface area in square meters of a rectangular solid whose length is 9 meters, width is 8 meters, and depth is 5 meters?
Choices:
162 m2
180 m2
300 m2
314 m2
Answer: D
Question: Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 15000 at the end of the year, what should be the share of Narendra?
Choices:
B)Rs.12000
C)Rs.8500
D)Rs.8600
E)Rs.8700
Answer: A
Question: In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?
Choices:
5 : 7
7 : 3
7 : 5
6 : 5
Answer: B
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 40 min, then the slower pipe alone will be able to fill the tank in?
Choices:
160
144
128
121
Answer: A
Question: The fourth proportional to 6, 14 and 18 is?
Choices:
42
77
88
99
Answer: A
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 4:2. What is the ratio of luxury cars to sport utility vehicles?
Choices:
8:9
3:2
8:6
1:2
Answer: C
Question: It takes 1.5 hours for Tim to mow the lawn. Linda can mow the same lawn in 2 hours. How long will it take John and Linda, work together, to mow the lawn?
Choices:
51.3 minutes
51.5 minutes
51.7 minutes
51.9 minutes
Answer: B
Question: find value for x from below equation? x + 1 = 3
Choices:
-4
4
3
2
Answer: D
Question: Annie has 100 cards numbered 1 through 100. If she deals five cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
Choices:
96!/100!
(95! X 5!)/100!
(96! X 5!)/100!
(97! X 4!)/100!
Answer: C
Question: If a and b are even numbers, which of the following CANNOT be the value of a-b?
Choices:
14
21
24
26
Answer: B
Question: If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 3 children have two children of the same sex and one of the opposite sex?
Choices:
2/3
1/4
3/4
3/5
Answer: C
Question: The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 62 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Choices:
64 degrees
128 degrees
66 degrees
67 degrees
Answer: B
Question: In a division sum, the quotient is 65, the divisor 24 and the remainder 5, find the dividend?
Choices:
1569
1265
1555
1565
Answer: D
Question: The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
Choices:
149
152
251
None of the above
Answer: C
Question: 105*2
Choices:
11025
29088
1999
17710
Answer: A
Question: If Ram rides his cycle in the speed of 18 km/hr from his office, in what time will he reach his house which is 900 m long from his office?
Choices:
4
5
7
3
Answer: D
Question: A certain fruit stand sold orange for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Choices:
13
14
11
15
Answer: C
Question: A clock strikes every hour once at 1.00 twice at 2.00 and so on. the clock takes 6 seconds to strike 5.00 and 12 seconds to strike 9.00 the time needed to strike 1.00 is negligible. how long does the clock need for all its striking in 24 hours?
Choices:
198
267
297
191
Answer: A
Question: The average runs of a cricket player of 10 innings was 32. How many runs must he makes ih his next innings so as to increase his average of runs by 4?
Choices:
4
70
76
None
Answer: C
Question: if 85% of the population of an ant colony is red, and of these 45% are females, then what % of the total ant population are male red ants?
Choices:
46.75
33.66
66.66
66.86
Answer: A
Question: workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they?
Choices:
250
500
550
600
Answer: B
Question: The smallest value of n, for which 2n+1 is not a prime number, is
Choices:
4
5
6
7
Answer: A
Question: Y and Z started a business investing Rs. 70,000 and Rs. 30,000 respectively. In what ratio the profit earned after 5 years be divided between Y and Z respectively?
Choices:
3:7
7:3
3:6
None of these
Answer: B
Question: Ravi purchased 20 dozens of toys at the rate of Rs. 350 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
Choices:
1.2%
13.14%
34.1%
12.2%
Answer: B
Question: For all numbers a and b, the operation is defined by ab = (a + 2)(b – 3).
If 3y = –50, then y =
Choices:
–7
3
6
15
Answer: A
Question: Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers.
Sam: I don't know what the numbers are Pete.
Pete: I knew you didn't know the numbers... But neither do I.
Sam: In that case, I do know the numbers.1
What are the numbers?
Choices:
1-3
2-4
3-4
2-3
Answer: C
Question: The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 6 years ?
Choices:
2977
7119
6077
17112
Answer: B
Question: At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.15000?
Choices:
4965
2779
2672
2782
Answer: A
Question: The class mean score on a test was 60, and the standard deviation was 5. If Jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
Choices:
31
45
40
89
Answer: C
Question: The music class consists of 4 girls and 6 boys. How many ways can a group of 3 be formed if it has to include at least one boy?
Choices:
116
161
165
172
Answer: A
Question: A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 40 percent of the pack would be outfielder cards?
Choices:
5
6
7
8
Answer: C
Question: 8500 + (1600 ÷ ?) of 1/5 = 8501
Choices:
312
320
325
345
Answer: B
Question: How many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph?
Choices:
24
25
82
27
Answer: A
Question: Find the odd man out
3, 4 , 10 , 32 , 136 , 685 , 4116
Choices:
32
685
4116
42
Answer: A
Question: Frank is 15 years younger then John. In 4 years John will be twice as old as Frank. How old will Frank be in four years?
Choices:
10
12
15
16
Answer: C
Question: Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 19% and the third was 14%. What will be the percentage decrease, if the salary is decreased in a single shot?
Choices:
34.31%
37.31%
35.31%
31.31%
Answer: B