antoine-444/aqua_rat_dataset huggingface dataset:
Question: Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2200.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
Choices:
30%
60%
50%
33%
Answer: D
Question: If the selling price is doubled,the profit is tripled,what is the percentage of profit??
Choices:
100%
150%
200%
250%
Answer: A
Question: What is the greatest prime factor of 4^17 - 2^26?
Choices:
3
5
127
11
Answer: C
Question: Calculate the average of first 9 even numbers is?
Choices:
10
12
15
17
Answer: A
Question: There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Choices:
120
315
180
200
Answer: B
Question: Find the average of all the numbers between 6 and 34 which are divisible by 7.
Choices:
20
17.5
30
32
Answer: B
Question: The radius of a wheel is 20.4 cm. What is the distance covered by the wheel in making 400 resolutions?
Choices:
512.448 m
510.448 m
706 m
204 m
Answer: A
Question: If 5a = 6b and ab ≠0, what is the ratio of a/6 to b/5?
Choices:
10/12
1
1/5
25/36
Answer: B
Question: In what time will a train 140 m long cross an electric pole, it its speed be 190 km/hr?
Choices:
2.6 sec
2.7 sec
8.7 sec
8.5 sec
Answer: A
Question: Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum G of their ages will be 51, how old is Stephanie ?
Choices:
10
14
20
24
Answer: A
Question: In order to fulfill a local school’s request for x cakes, y parents agreed to each bake an equal number of cakes. If z of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Choices:
xyz
xy/z
zx/(y(y - z))
zy/x
Answer: C
Question: Simplify: 200 x 200 - 150 x 150
Choices:
761400
761800
17500
None of them
Answer: C
Question: Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
Choices:
16
16
28
12
Answer: C
Question: You need to unlock a secret code using following clues,
Can you?
Here you have the clues:
Clue-1 : 0 7 9 (One of the numbers is correct and is placed in its correct position)
Clue-2 : 0 3 2 (Nothing is correct)
Clue-3 : 1 0 8 (Two numbers are correct but not placed at its correct position.)
Clue-4 : 9 2 6 (One number is correct but not placed at its correct position.)
Clue-5 : 6 7 8 (One number is correct but not placed at its correct position.)
Choices:
819
198
189
891
Answer: A
Question: On a map, 1 inch represents 28 miles. How many V inches would be necessary to represent a distance of 383.6 miles?
Choices:
7.4
13.7
21.2
28.7
Answer: B
Question: In a particular state, 60% of the counties received some rain on Monday, and 55% of the counties received some rain on Tuesday. No rain fell either day in 25% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
Choices:
40%
50%
60%
67.5%
Answer: A
Question: A Washing machine is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Choices:
19%
21.2%
21.81%
22.07%
Answer: C
Question: Certain stocks in January were 30% greater than they were in February and 20% lesser than they were in March. What was the percentage decrease in the stocks from February to March?
Choices:
44%
40%
47.5%
50%
Answer: A
Question: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of e square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
Choices:
(5,280 mt) / 12 e
(5,280 pmt) /12
(5,280)(12m) / pt
(5,280)(12p) / mt
Answer: A
Question: In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 4 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the total number of votes is
Choices:
1 to 3
1 to 4
1 to 5
3 to 4
Answer: C
Question: A student committee that must consists of 3 members is to be formed from a pool of 8 candidates. How many different committees are possible
Choices:
8
40
56
336
Answer: C
Question: A cement block balances evenly on the scales with 3 quarters of a pound and 3 quarters of a block. What is the weight of the whole block?
Choices:
2 pounds
3 pounds
4 pounds
5 pounds
Answer: B
Question: How many different sets of positive square integers P, each greater than 1, add up to 75?
Choices:
4
7
11
13
Answer: D
Question: Of the three-digit integers greater than 800, how many have two digits that are equal to each other and the remaining digit different from the other two?
Choices:
82
43
45
36
Answer: B
Question: HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 24, then the other number is?
Choices:
198
132
264
364
Answer: A
Question: If a man walks at a rate of 10kmph, he misses a train by 14minutes. However, if he walks at the rate of 12kmph, he reaches the station 10minutes before the arrival of the train. Find the distance covered by him to reach the station.
Choices:
6 KM
12
4
8
Answer: A
Question: Today is Saturday. The day after 59 days will be
Choices:
Tuesday
Saturday
Sunday
None of these
Answer: A
Question: In a class of 10 students, the teacher writes a number on the board. The first student tells that number is divisible by 1, the second student tells that the number is divisible by 2, the third by 3, the forth by 4 and so on till 10. If the statement of one of the students is wrong then what is the least number possible.
Choices:
340
360
380
400
Answer: B
Question: A box contains 3 blue marbles, 3 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
Choices:
1/364
1/91
4/455
None of these
Answer: A
Question: A shopkeeper purchased 90 kg of potatoes for Rs. 540 and sold the whole lot at the rate of Rs. 8 per kg. What will be his gain percent?
Choices:
38 9/3 %
38 1/3 %
32 1/3 %
33 2/6 %
Answer: D
Question: Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
Choices:
16 years
20 years
22 years
24 years
Answer: A
Question: Two employees X and Y are paid a total of Rs. 616 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.280
s.290
s.299
s.300
Answer: A
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?
Choices:
Rs. 1500
Rs. 2000
Rs. 2500
None of these
Answer: B
Question: In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Choices:
2.5
2.3
1.4
1.1
Answer: A
Question: A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by:
Choices:
11 3/7cm
11 1/7cm
11cm
None of these
Answer: A
Question: If the area of a circle is 144pi square feet, find its circumference.
Choices:
24 pi feet
42 pi feet
18 pi feet
64 pi feet
Answer: A
Question: In how many ways can the six letters of the word "mammal" be arranged in a row?
Choices:
40
31
60
64
Answer: C
Question: a light flashes every 6 seconds, how many times will it flash in ? of an hour?
Choices:
600
650
700
750
Answer: A
Question: Suppose a game is played between two players A and B. On each turn of the game, exactly
one of A or B gets a point. Suppose A is better than B and has a probability of 2/3 of getting
a point on each turn of the game. The first person to get two points ahead in the game is the
winner. What is the probability that A wins the game?
Choices:
4/7
2/3
4/5
8/9
Answer: C
Question: If the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
Choices:
5:3
5:6
1:4
3:4
Answer: B
Question: A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed
against the current will be
Choices:
12 kmph
14 kmph
17 kmph
None of these
Answer: B
Question: Jake, Lena, Fred, John and Inna need to drive home from a corporate reception in an SUV that can seat 7 people. If only Inna or Jake can drive, how many seat allocations are possible?
Choices:
42
120
360
720
Answer: D
Question: A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?
Choices:
5
6
7
8
Answer: A
Question: Jaclyn buys $20 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
Choices:
475
289
345
None of these
Answer: A
Question: A train 280m long is running at 70kmph. In how much time will it pass a platform 210m long?
Choices:
9.56 seconds
28.56 seconds
30.56 seconds
3.5 seconds
Answer: A
Question: A person purchases 90 shirts and sells 40 shirts at a gain of 10% and 50 shirts at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got $40 less. The cost price of each shirt is:
Choices:
30
80
40
90
Answer: B
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 3x km.
Choices:
88 kmph
24 kmph
17 kmph
19 kmph
Answer: B
Question: If 20 shirts can be purchased for 5 dollars, how many shirts can be purchased for 10 dollars?
Choices:
30
60
40
20
Answer: C
Question: How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Choices:
278 meters
500 meters
276 meters
299 meters
Answer: B
Question: ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,20) and (-5,15). Which can be the coordinate of fourth vertex?
Choices:
(5,15)
(-5,-20)
(-5,10)
(15,20)
Answer: D
Question: If p/6 = r/2 and r = 0.75s, what is the ratio of p to r to s?
Choices:
8 : 12 : 9
9 : 6 : 8
6 : 4 : 3
18 : 6 : 8
Answer: D
Question: One year ago the ratio of Yamini’s and Gamini’s ages was 6 : 7 respectively. Four years hence this ratio would become 7 : 8. How old is Gamini?
Choices:
30 years
31 years
Cannot be determined
None of these
Answer: D
Question: A man buys 20 lts of liquid which contains 30% of the liquid and the rest is water. He then mixes it with 20 lts of another mixture with 20% of liquid. What is the % of water in the new mixture?
Choices:
95
80
75
65
Answer: C
Question: The base of a right triangle is 8 and hypotenuse is 10. Its area is?
Choices:
80
59
24
25
Answer: C
Question: At what price must an article costing Rs.75 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Choices:
62.0
62.6
62.1
98.68
Answer: D
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choices:
10.7 sec
10.3 sec
10.8 sec
10.2 sec
Answer: C
Question: A train speeds past a pole in 20 seconds and passes through a tunnel 500 m long in 40 seconds. Its length is :
Choices:
400 m
500 m
700 m
None of the above
Answer: B
Question: In how many ways can 16 different gifts be divided among four children such that each child receives exactly three gifts?
Choices:
(4!)^4
16!/(3!)^4
16!/4!
4^16
Answer: B
Question: The following sets each have a mean of 50 and the standard deviations are given in variable form.
Set I = {20, 20, 20, 80, 80, 80}, standard deviation = A
Set II = {20, 30, 40, 60, 70, 80}, standard deviation = B
Set III = {50, 50, 50, 50, 50, 50}, standard deviation = C
Rank these three standard deviations from least to greatest.
Choices:
B, C, A
C, A, B
B, A, C
C, B, A
Answer: D
Question: A can give B 100 meters start and C 170 meters start in a kilometer race. How much start can B give C in a kilometer race?
Choices:
55.77 meters
77.77 meters
113.77 meters
None of these
Answer: B
Question: A Card marked 1 and 2 on its two faces. Two colors, white and black are used to paint the two faces of the card. If the card is painted with the different colors, in how many ways can the card be painted?
Choices:
6
2
12
27
Answer: B
Question: If the sample interest on a sum of money 20% per annum for 2 years is $400, find the compound interest on the same sum for the same period at the same rate?
Choices:
$510
$440
$500
$550
Answer: B
Question: A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?
Choices:
6
7
8
9
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
Choices:
288
140
776
991
Answer: B
Question: Let y = 2m + x^2 and m = 5x + 2. If m^2 =49, then which of the following can be a value of 2y + 3m?
Choices:
56
61
51
71
Answer: C
Question: There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choices:
744
725
727
272
Answer: A
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Choices:
16
17
19
62
Answer: C
Question: A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 5x km.
Choices:
25kmph
30kmph
35kmph
40kmph
Answer: D
Question: A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
Choices:
127
2999
277
299
Answer: B
Question: An "integrated" team consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 6 members and the design team has 4 members, how many "integrated" team formations are possible?
Choices:
54
76
90
112
Answer: C
Question: A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Choices:
4
6
8
32
Answer: A
Question: A cycle is bought for Rs.900 and sold for Rs.1140, find the gain percent?
Choices:
27
99
77
18
Answer: A
Question: In one year, the population, of a village increased by 30% and in the next year, it decreased by 30%. If at the end of 2nd year, the population was 13650, what was it in the beginning?
Choices:
8000
15000
1277
2081
Answer: B
Question: The equation x = 2y^2 + 5y - 19, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
Choices:
y - 3x - 11 = 0
-3x + y - 19 = 0
-2x - y - 7 = 0
-3x + y + 13.5 = 0
Answer: B
Question: A man buys 50 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent?
Choices:
7.6 %
7.32 %
3.6 %
7.8 %
Answer: A
Question: If a and b are each greater than x and y, which of the following must be true?
I.|a| + |b| > |x| + |y|
II. ab > xy
III. a + b > x + y
Choices:
II only
I and II
III only
I, II and III
Answer: C
Question: If a tap could fill entire tank in 20 hrs due to leakage, then in how much time
tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage
Choices:
30hrs
36hrs
48hrs
52hrs
Answer: A
Question: What is the tenth digit of (5!*5! - 5!*3!)/5?
Choices:
2
0
6
7
Answer: A
Question: A man can row at 5 kmph in still water. If the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back. how far is that place.
Choices:
1.4 km
2.4 km
3.4 km
4.4 km
Answer: B
Question: A man bought 10 crates of apples for $120 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 50 percent of the total cost?
Choices:
$22.50
$28
$30
$35
Answer: A
Question: If the quantity 3^4+ 3^6 + 3^8 is written as (a + b)(a – b), in which both a and b are integers, which of the following could be the value of b?
Choices:
26
52
81
25
Answer: C
Question: Balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2nd row of two balls and so on. If 19 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. How many balls made up the triangle?
Choices:
465
2878
1210
1560
Answer: A
Question: The average of a couple was 28Yrs when they were married 5Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 23Yrs now. How old is the
child now ?
Choices:
4 Yrs
3 Yrs
1 Yrs
None of these
Answer: B
Question: If 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Choices:
237
287
450
281
Answer: C
Question: What proximate value should come in place of the question mark (?) in the following question?
6.695 Ã— 1084 + 2568.34 â€“ 1708.34 = ?
Choices:
12,000
10,000
8,096
9,000
Answer: C
Question: The average of first 6 natural numbers is?
Choices:
3.5
5.3
5.9
5.1
Answer: A
Question: Twenty four men can do a work in 48 days. How many men are required to complete the work in 12 days?
Choices:
46
50
96
60
Answer: C
Question: A train 360 m long is running at a speed of 45 kmph.In what time will it pass a bridge 140 m long?
Choices:
40 sec
45 sec
48 sec
49 sec
Answer: A
Question: kumar saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?
Choices:
14300
13200
12800
9500
Answer: C
Question: When a whole no. n is divided by 4,we will get 3 as remainder. What will be the remainder if 2n is divided by 4?
Choices:
4
2
6
7
Answer: B
Question: Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 - S2 + S1. What is the value of K?
Choices:
20
45
41
36
Answer: A
Question: A total of x tourists were transported by bus to a certain museum. If there were y tourists on each bus, which of the following expresses the number of buses used?
Choices:
x/y
y/x
x - y
y^2
Answer: A
Question: John bought a total of 16 Mangoes and Oranges. Each Mango costs 80 cents and each orange costs 60 cents. If the average price of the 16 mangoes and oranges that John originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
Choices:
5
6
7
10
Answer: D
Question: To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 4 pounds and 6 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
Choices:
Combined, with a saving of 10 cents
Combined, with a saving of 5 cents
Separately, with a saving of 5 cents
Separately, with a saving of 15 cents
Answer: B
Question: The probability of Sam passing the exam is 1/5. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
Choices:
5/6.
1/3.
2/3.
2/5
Answer: A
Question: If the compound interest on an amount of Rs. 29000 in two years is Rs. 9352.5, what is the rate of interest?
Choices:
9
15
18
25
Answer: B
Question: Rs.8000 become Rs.8487.20 in a certain interval of time at the rate of 3% per annum of C.I. Find the time?
Choices:
8 years
9 years
3 years
2 years
Answer: D
Question: My watch gains 5 min every hour. How many degrees the second hand moves in every min?
Choices:
350
390
400
450
Answer: B
Question: Three candidates contested an election and received 1136, 7636 and 14000 votes respectively. What percentage of the total votes did the winning candidate get?
Choices:
61%
74%
63%
68%
Answer: A
Question: At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
Choices:
p < q
p > q
p = q/2
None of these
Answer: B
Question: A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the wotk were ?
Choices:
15 2/3kmph
16 2/3kmph
17 2/3kmph
18 2/3kmph
Answer: B
Question: Suppose there is an outlet which is pouring water at a constant rate and is able to fill a swimming pool in nine hours. There is another outlet that is able to fill the pool in five hours. If we open both the outlets and let them pour the water together How many hours will it take to fill the pool ?
Choices:
2.21 hours
3.21 hours
4.21 hours
5.21 hours
Answer: B
Question: Carol is three times Alice’s age but only twice as old as Betty. Alice is twenty-four years younger than Carol. How old is Betty?
Choices:
19
22
18
24
Answer: C
Question: If the sides of a triangle are 9 cm, 16 cm and 19 cm, what is its area?
Choices:
72
75
89
93
Answer: A
Question: Three candidates contested an election and received 5000, 22000 and 34800 votes respectively. What percentage of the total votes did the winning candidate get ?
Choices:
56.31
75.20%
86%
95.15%
Answer: A
Question: By selling an article at Rs.500, a profit of 25% is made. Find its cost price?
Choices:
400
287
480
811
Answer: A
Question: A group of college friends plan to rent a house together for x dollars per month, which is to be shared equally among them. If four, rather than six people rent the house together, how many more dollars, in terms of x, will each person have to pay for rent per month?
Choices:
x/6
x/12
x/10
x/24
Answer: B
Question: For any integer p, *p is equal to the product of all the integers between 1 and p, inclusive. How many prime numbers are there between *9 + 3 and *9 + 9, inclusive?
Choices:
None
Two
Three
Four
Answer: A
Question: The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$430 per month. The salary of the new supervisor is:
Choices:
870
287
771
191
Answer: A
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Choices:
3 m
5.82 m
4.32 m
None of these
Answer: A
Question: Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 4 miles per hour, how many miles had Lionel walked when he met Walt?
Choices:
16
20
24
28
Answer: C
Question: The average weight of 5 person's increases by 4 kg when a new person comes in place of one of them weighing 50kg. What is the weight of the new person?
Choices:
70
80
88.5
75
Answer: A
Question: The least perfect square, which is divisible by each of 21,36 and 66 is
Choices:
213444
214434
213443
None of these
Answer: A
Question: X, Y and Z contract a work for Rs. 1100. X and Y together are to do 7/11 of the work. C’s share is:
Choices:
Rs.400
Rs.600
Rs.800
Rs.900
Answer: A
Question: What is the units digit of 63^3 * 17^3 * 49^3?
Choices:
3
5
7
9
Answer: D
Question: What is the present worth of Rs. 176 due in 2 years at 5% simple interest per annum?
Choices:
160
120
277
6123
Answer: A
Question: If log 27 = 1.431, then the value of log 9 is:0.934
B.	0.945
C.	0.954
D.	0.958
Choices:
0.945
0.954
0.958
0.964
Answer: B
Question: There are 28 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
Choices:
1 year 2 months
4 years 8 months
3 years
None
Answer: B
Question: A tap can fill a tank in 2 hours. After half the tank is filled, two more similar taps are opened. What is the total time taken to fill the tank completely?
Choices:
4 hr
3 hr
1 hr 20 min
2 hr 50 min
Answer: C
Question: Given that E and F are events such that P(E) = 8, P(F) = 2 and P(E n F) = 8,
find P (E|F) and P(F|E)
Choices:
4
12
36
98
Answer: A
Question: Two good train each 900 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km /hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Choices:
24.9 sec
86.4 sec
60.2 sec
None
Answer: B
Question: A dice has one of the first 7 prime number on each its six sides ,with no two sides having the same number .the dice is rolled 12 times and the results added.the addition is most likely to be closet to
Choices:
48
60
99
70
Answer: C
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Choices:
40
88
66
21
Answer: A
Question: A man has Rs. 416 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
Choices:
60
78
90
95
Answer: B
Question: If 18 is 15 percent of 35 percent of a certain number, what is the number?
Choices:
36
40
300
400
Answer: C
Question: The rupee/coin changing machine at a bank has a flaw. It gives 10 ten rupee notes if you put a 100 rupee note and 10 one rupee coins if you insert a 10 rupee note but gives 10 hundred rupee notes when you put a one rupee coin!Sivaji, after being ruined by his rivals in business is left with a one rupee coin and discovers the flaw in the machine by accident. By using the machine repeatedly, which of the following amounts is a valid amount that Sivaji can have when he gets tired and stops at some stage (assume that the machine has an infinite supply of notes and coins):
Choices:
53949
53946
53945
53944
Answer: A
Question: Pipe A can fill a tank in 3 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choices:
4.5
18
19
12
Answer: A
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:
Rs.3630
Rs.3200
Rs.5600
Rs.3000
Answer: A
Question: An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …, 9. But on the slip on which the code is hand written allows confusion between top and bottom, because there are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion?
Choices:
80
40
50
89
Answer: A
Question: If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
Choices:
1
8
6
4
Answer: A
Question: A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be
Choices:
26
28
29
30
Answer: A
Question: If the true discount on s sum due 2 years hence at 14% per annum be Rs. 182, the sum due is:
Choices:
s. 832
s. 1960
s. 2400
s. 2800
Answer: A
Question: Cuboid volume and Base area are 144 m^3 and 18m^3 respectively.Find the height of a cuboid?
Choices:
12m
6m
8m
10m
Answer: C
Question: A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Choices:
277
120
285
121
Answer: B
Question: The average mark of 20 students in a class is 70 years. The average age of 10 students is 65. What is the total mark of remaining 10 students?
Choices:
800
750
700
680
Answer: B
Question: A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 6?
Choices:
1/16
1/8
1/2
0
Answer: D
Question: Rs. 6000 is lent out in two parts. One part is lent at 7% p.a simple interest and the other is lent at 10% p.a simple interest. The total interest at the end of one year was Rs. 480. Find the ratio of the amounts lent at the lower rate and higher rate of interest?
Choices:
2:1
5:2
5:8
5:2
Answer: A
Question: If 4 and 8 are factors of 60n, what is the minimum value of n?
Choices:
3
8
14
56
Answer: B
Question: In how many ways can be 3 boys and 3 girls sit around circular table so that no two boys sit next to each other?
Choices:
(6!)^2
3!2!
11!
(5!)^2*6!
Answer: B
Question: A driving school claims an average test pass rate of 76.8 percent. What is the least number of pupils required to achieve this result?
Choices:
125
189
153
142
Answer: A
Question: If (x + yi) / i = ( 7 + 9i ) , where x and y are real, what is the value of (x + yi)(x - yi)?
Choices:
130
150
170
200
Answer: A
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Choices:
4 min
8 min
2 min
9 min
Answer: A
Question: The difference of the cubes of two consecutive even integers is divisible by which of the following integers?
Choices:
6
4
5
2
Answer: B
Question: From a total of 5 boys and 5 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?
Choices:
24
60
100
240
Answer: C
Question: If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 54. By how much do the two digits differ?
Choices:
4
5
6
7
Answer: C
Question: If x+y=280, x-y=200, for integers of x and y, y=?
Choices:
240
50
115
150
Answer: A
Question: How many multiples of 7 are there between 14 and 343, exclusive ?
Choices:
47
46
45
44
Answer: B
Question: The probability of a team winning a match given Matt is playing the match is 0.75. The probability of the team winning a match given Matt is not playing the match is 0.7. The probability of Matt playing any match is 0.8.
If it is known that the team has won the last match, what is the probability that Matt played the match?
Choices:
0.7
0.8108
0.7531
0.8213
Answer: B
Question: A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and captain) to a nearby port. Altogether, these passengers have 15 heads and 42 legs. How many cats does the ship host?
Choices:
6
7
8
9
Answer: A
Question: What will come in place of the x in the following Number series? 6, 12, 21, x , 48
Choices:
33
39
41
42
Answer: A
Question: Sunil invested $ 1800 fir 2 years and $ 1400 for 3 years at the same rate of Simple Interest. If the total interest from these investments is $ 810, what is the rate of interest?
Choices:
25 1/3%
10 1/4%
8%
13 2/4%
Answer: B
Question: A shepherd has 1million sheep at the beginning of Year 2010. The no's grow by xx during the yr. A famine hits his village in the next year & many of his sheep die. The sheep population decreases by yy during 2001 and at the beginning of 2011 the shepherd finds that he is left with 1million sheep. Which of the following is correct?
Choices:
x>y
x=y
x<=y
x>=y
Answer: A
Question: To furnish a room in a model home an interior decorator is to select 2 chairs and 2 tables from the collection of chairs and tables in a warehouse that are all different from each other. If there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables are there in the warehouse?
Choices:
6
10
15
30
Answer: A
Question: Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 10% and 10% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Choices:
10%
21%
23%
Cannot be determined
Answer: A
Question: Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $3500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
Choices:
$5,600
$8,100
$15,000
$31,500
Answer: D
Question: If a man lost 5% by selling apples at the rate of 15 a rupee at how many a rupee must he sell them to gain 25%?
Choices:
10.4
11.4
12.4
13.4
Answer: B
Question: A cistern is two-third full of water. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. Once the cistern is emptied, how much time will they take to fill it together completely?
Choices:
12.5 min
14.4 min
10.2 min
14.66 min
Answer: B
Question: An investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
Choices:
4
6
7
8
Answer: A
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ?
Choices:
5/8
3/5
4/7
4/9
Answer: A
Question: The function f is defined by subtracting 25 from the square of a number and the function a is defined as the square root of one-half of a number. If a(f(x))=10, then which of the following is a possible value of x?
Choices:
-15
0
5
25
Answer: A
Question: The triplicate ratio of 1:2 is?
Choices:
1:8
1:10
3:8
5:64
Answer: A
Question: John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 170% of John's weight. Which of these 5 people weighs the least?
Choices:
Susan
Sam
Mark
Lynn
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choices:
210
1890
31970
10984
Answer: A
Question: In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
Choices:
8
7
6
5
Answer: A
Question: If each digit in the set of A = {0,1,2,3,4,5,6,7,8,9} is exactly used once, in how many ways can the digits be arranged such that the 2 and 5 are not adjacent?
Choices:
10! - 9!
9!
10!
8*9!
Answer: D
Question: Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
Choices:
7
10
5
2
Answer: A
Question: If Re.1 amounts to Rs.9 over a period of 10 years. What is the rate of simple interest?
Choices:
30%
50%
80%
70%
Answer: C
Question: If a and b are the roots of the equation x2 - 7x + 7 = 0, then the value of a2 + b2 is:
Choices:
35
17
6
5
Answer: A
Question: If the simple interest on a certain sum of money for 4 years is one–fifth of the sum, then the rate of interest per annum is
Choices:
7%
6%
5%
3%
Answer: C
Question: A train 180 m long passed a pole in 10 sec. How long will it take to pass a platform 800 m long?
Choices:
89
54
67
56
Answer: B
Question: A basketball coach will select the members of a five-player team from among 10 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?
Choices:
1/6
2/9
5/18
1/3
Answer: B
Question: If two numbers are in the ratio 2:3. If 17 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Choices:
B)20
C)34
D)30
E)35
Answer: B
Question: The area of a square field is 900 km2. How long will it take for a horse to run around at the speed of 12 km/h ?
Choices:
10 h
8 h
6 h
None of these
Answer: A
Question: If a and b are two different prime numbers, which of the following cannot be true?
Choices:
a/b is an integer
a +b is odd.
ab is even.
a + b is even
Answer: B
Question: The sum of the ages of 5 children born at the intervals of 3 years each is 80 years. What is the age of the youngest child?
Choices:
4 years
6 years
8 years
10 years
Answer: D
Question: The ratio between the number of sheep and the number of horses at the Stewart farm is 4 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Choices:
28
32
56
60
Answer: B
Question: A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time cistern will get filled ?
Choices:
7.1 hours
7.2 hours
7.3 hours
7.4 hours
Answer: B
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 $ 1.60. What is the price of 2 doughnuts?
Choices:
$ 1.00
$ 1.10
$ 1.30
$ 1.80
Answer: C
Question: An aeroplane covers a certain distance of 480 Kmph in 4 hours. to cover the same distance in 4 1/3 hours, it Must travel at a speed of
Choices:
540
443
740
250
Answer: B
Question: The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Choices:
3%
8%
1%
4%
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
5/15
5/11
Answer: A
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Choices:
27 7/09
27 7/2
27 7/9
24 7/2
Answer: C
Question: Both Robert and Alice leave from the same location at 7:00 a.m. driving in the same direction, but in separate cars. Robert drives 30 miles per hour while Alice drives 50 miles per hour. After 6 hours, Alice’s car stops. At what time will Robert’s car reach Alice’s car?
Choices:
3 p.m.
4 p.m.
7 p.m.
9 p.m.
Answer: C
Question: If the diameter of circle R is 40% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
Choices:
16%
20%
22%
24%
Answer: A
Question: What is the area of square field whose side of length 13 m?
Choices:
662
169
882
21
Answer: B
Question: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
Choices:
14
17
19
11
Answer: A
Question: Each student is given a five-character identification code. The first two characters are selected from the numbers 0 to 9 inclusive, and the last three characters are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules?
Choices:
1,527,200
1,638,400
1,757,600
1,841,800
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:
1/129
1/128
1/198
1/126
Answer: D
Question: find S.P when CP=Rs 80.40,loss=5%
Choices:
Rs 69.34
Rs 58.34
Rs 68.34
Rs 60.34
Answer: C
Question: How many words can be formed by using all letters of the word â€˜DAUGHTERâ€™ so that the vowels always come together?
Choices:
420
470
5400
4320
Answer: D
Question: A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Choices:
Rs.250
Rs.5012.50
Rs.5062.50
None of these.
Answer: D
Question: Jacob is 18years old. He is 2 times as old as his brother. How old will Jacob be when he is twice as old?
Choices:
36
33
32
38
Answer: A
Question: The price for a loaf of bread in April was $1.23, in May the price was $1.22, and in June the price was $1.08. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?
Choices:
$1.16
$1.14
$1.13
$1.12
Answer: A
Question: The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/4 of that total. What was the price of the basic computer?
Choices:
1600
1750
1900
2000
Answer: B
Question: To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3/10 of its present?
Choices:
60.5
63.5
83.333
64.5
Answer: C
Question: 207,200,...,186,179,172
Insert the missing number
Choices:
191
192
189
193
Answer: D
Question: In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 14 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
Choices:
105%
120%
124.2%
98%
Answer: D
Question: A certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow. The store has an equal number of trucks of each possible color-size combination. If Paul wants a medium, red truck and his mother will randomly select one the trucks in the store, what is the probability that the truck she selects will have at least one of the two features Paul wants?
Choices:
1/3
1/2
7/12
2/3
Answer: B
Question: How many days will there be from 26th January,1996 to 15th May,1996(both days included)?
Choices:
103
111
120
None of these
Answer: B
Question: The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 8 years more than twice the age of the son.Find the present age of the father.
Choices:
77
33
44
27
Answer: D
Question: If both 5^2 and 3^4 are factors of the number a*4^3*6^2*13^11, then what is the smallest possible value of a?
Choices:
120
150
225
300
Answer: C
Question: The ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 40 : 100. The solution will be altered so that the ratio of bleach(B) to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
Choices:
60
50
30
70
Answer: A
Question: How long will it take a sum of money invested at 5% p.a. S.I. to increase its value by 50%?
Choices:
10 years.
8 years.
12 years.
14 years.
Answer: A
Question: Find the difference between the average of first n even numbers and the average of all the even numbers up to n (n is an even number).
Choices:
(n-1)/2
n/2
cannot be determined
None of these
Answer: B
Question: Which is next
KUZ, MOX, OIV, QET
Choices:
SAQ
RAR
SPZ
SAR
Answer: D
Question: Which of the following is closest to 10^180 – 10^20 ?
Choices:
10^180
10^150
10^90
10^6
Answer: A
Question: The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability Y that the next couple the maitre 'd seats will not order dessert?
Choices:
25%
40%
60%
75%
Answer: A
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?
Choices:
240
520
267
191
Answer: B
Question: A grocer stacked oranges in a pile. The bottom layer was rectangular with 3 rows of 7 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
Choices:
5
3
2
1
Answer: A
Question: Best friends Sprite and Icey have are playing a game of marbles. They invite 2 of their friends to play with them. There are 36 marbles in the bag. If all 4 people are playing, how many marbles does each person get?
Choices:
9
5
6
7
Answer: A
Question: If 5^r is a factor of 30!, which of the following is the maximum possible value of r?
Choices:
5
6
7
8
Answer: C
Question: In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Choices:
145
276
027
266
Answer: A
Question: In how many ways can you line up 7 wrestlers in a row if one of them, The Undertaker, cannot be in the middle or at the either end?
Choices:
2,880
90
192
5,300
Answer: A
Question: Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her nine kids?
Choices:
9
3
7
10
Answer: D
Question: What amount does an investor receive if the investor invests $3000 at 10% p.a. compound interest for two years, compounding done annually?
Choices:
$3630
$3870
$4040
$4220
Answer: A
Question: Will must choose a 2-character computer password, consisting of 1 letter from the alphabet and 1 distinct digits, in any order.From how many different passwords can Will choose?
Choices:
520
4,680
7,020
14,040
Answer: A
Question: A train running at a speed of 60 kmph crosses a pole in 6 seconds.What is the length of the train?
Choices:
180 m
100 m
150 m
160 m
Answer: B
Question: P is able to do a piece of work in 10 days and Q can do the same work in 12 days. If they can work together for 5 days, what is the fraction of work left?
Choices:
5/12
1/12
3/12
1/2
Answer: B
Question: Two equilateral triangles of side 12cm are placed one on top of another, such that a 6 pointed star is formed .if the six verticals lie on a circle what is the area of the circle not enclosed by the star ?
Choices:
68
57
61
62
Answer: A
Question: Find the odd man out
253, 136, 352, 329, 631, 244
Choices:
329
352
631
531
Answer: A
Question: A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Choices:
15 days
18 days
20 days
22 days
Answer: B
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:
4years
6years
7years
8years
Answer: A
Question: A tradesman is marketing his goods 20% above the cost price of the goods. He gives 10% discount on cash payment, find his gain percent.
Choices:
8%
15%
18%
None of these
Answer: A
Question: A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 90, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Choices:
75
76
77
79
Answer: D
Question: The average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student. The weight of the student is
Choices:
60 kg
70 kg
72 kg
None of these
Answer: A
Question: At milk factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
Choices:
8/17
8/9
9/8
17/8
Answer: A
Question: The price of a jacket is reduced by 10%. During a special sale the price of the jacket is reduced another 30%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Choices:
58.7
48
65
67.5
Answer: A
Question: An author received $0.80 in royalties for each of the first 100,000 copies of her book sold, and $0.80 in royalties for each additional copy sold. If she received a total of $260,000 in royalties, how many copies of her book were sold?
Choices:
300,000
325,000
400,000
420,000
Answer: B
Question: If P represents the product of the first 16 positive integers, then P is not a
multiple of:
Choices:
b) 84
c) 133
d) 65
e) 57
Answer: B