antoine-444/aqua_rat_dataset huggingface dataset:
Question: A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
Choices:
700
850
800
900
Answer: A
Question: A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1419, What is the value of n?
Choices:
86
62
122
672
Answer: A
Question: Let A be the event that a randomly selected two digit number is divisible by 2 and let B be the event that a randomly selected two digit number is divisible by 5. What is P(A and B)?
Choices:
1/10
1/5
1/3
1/2
Answer: A
Question: If the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters, what is the length of the rectangle, in centimeters?
Choices:
8
12
24
18
Answer: C
Question: Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
Choices:
476
296
176
191
Answer: A
Question: In an election between two candidates, the winner has a margin of 10% of the votes polled. If 1500 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Choices:
15,450
45,000
60,000
15,000
Answer: D
Question: Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Choices:
20 min
40 min
35 min
37 min
Answer: A
Question: If P represents the product of the first 13 positive integers, which of the following must be true?
I. P is an even number
II. P is a multiple of 17
III. P is a multiple of 60
Choices:
II only
I & III only
None of the above
All of the above
Answer: B
Question: Which of the following is an integer?
I. 10! / 6!
II. 10! / 8!
III. 10! / 7!5!
Choices:
II only
III only
I and II only
I, II and III
Answer: D
Question: In an election between 2 candidate one have got 53% votes and
won by 1057 votes, how many votes were there ?
Choices:
17616
37616
15616
12616
Answer: A
Question: Set R includes elements {8, 2, 11, x, 3, y} and has a mean of 7 and a median of 5.5. If x < y, then which of the following is the maximum possible value of x?
Choices:
1
2
3
4
Answer: C
Question: Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both BG, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations W are there for the children?
Choices:
240
720
1440
3600
Answer: A
Question: Two friends are making lemonade to sell at their lemonade stand. First, they make 14 litres of lemonade containing 21% lemon juice, but that doesn't taste quite right to them. They decide to add some store-bought lemonade that is 31% lemon juice until they have a mixture that is 25% lemon juice. How much of the store-bought lemonade should they add?
Choices:
12 litres
9 litres
2.6 litres
9.3 litres
Answer: D
Question: Solve for x and check: - 3x = 12
Choices:
-4
1
3
None of these
Answer: A
Question: Little John had $20.10. He spent $1.05 on sweets and gave to his two friends $1.00 each. How much money was left?
Choices:
$17.05
$17.15
$17.35
$17.25
Answer: A
Question: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work?
Choices:
77
20
88
12
Answer: B
Question: By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
Choices:
480
268
269
171
Answer: A
Question: If x/y =2/4, then (x-y)/x?
Choices:
-1
1/3
1
5
Answer: A
Question: If the ratio of the sum of the first 6 terms of a G.P. to the sum of the first 3 terms of the G.P. is 343, what is the common ratio of the G.P?
Choices:
1/3
2
7
1/7
Answer: C
Question: Find the value of z when the sum of 10z,(15z+20),(20z-4)and (30z+10) is 401?
Choices:
15
7
5
12
Answer: C
Question: The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 5hrs if the speed of the bike is twice speed of the tractor?
Choices:
450 km
360 km
550 km
600 km
Answer: A
Question: There is a box with chocolates inside it. When we count the chocolates in pairs, one is left. When we count the chocolates in a group of three, two chocolates are left. When we count the chocolates in a group of four, three chocolates are left. When we count the chocolates in a group of five, four are left. When we count the chocolates in a group of six, five are left.
But when the chocolates are counted in a group of seven, no chocolate is left. Can you calculate the minimum number of chocolates that are present in the box?
Choices:
116
119
118
112
Answer: B
Question: Rahul's Mathematics test had 75 problems, 10 arithmetic, 30 algebra, 35 geometry problems.
Although he answered 70% of arithmetic, 40% of arithmetic and 60% of geometry problems correctly,
still he got less than 64% problems right. How many more questions he would have to answer more to get
passed
Choices:
6
7
8
9
Answer: C
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 16 hours and 49 hours after they passed each other the ratio of the speeds of the two trains was
Choices:
3:2
4:3
7:4
1:2
Answer: C
Question: If 2x + y = 7 and x + 2y = 5, then 8xy/3 =?
Choices:
B) 8
C) 17/5
D) 18/5
E) 4
Answer: A
Question: If 2 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Choices:
20:5:18
20:5:12
20:5:4
20:5:1
Answer: C
Question: I purchases perfume from a store and gave him a thousand rupee note.
The perfume cost Rs.300.
Since the store person have no change, he gets the change from next shop and return me 800 rupees.
After a while, the next shopkeeper comes and told the 1st shopkeeper that the note is a fraud and takes his money back.
How much loss does the 1st shopkeeper have to bear ?
Choices:
2011
5000
5400
1000
Answer: D
Question: A class of 35 students has an average height of 180 cm. seven students whose average height is 120 cm, left the class and seven others whose average height is 140 cm, joined. Calculate the new average height of the students of the class (in cm) is?
Choices:
204.6 cm
224.6 cm
205.6 cm
256.6 cm
Answer: A
Question: David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 12 family members in a row for the picture?
Choices:
11×10!
10×11!
12!/2!
12!
Answer: B
Question: Pipes A and B can fill a tank in 4 and 2 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
Choices:
1/2hr
8/5hr
9/7hr
5/3hr
Answer: B
Question: A and B enter into partnership with capitals in the ratio 3 : 2. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 1 : 3. Find how long B remained in the business?
Choices:
45 months
6 months
7 months
None of these
Answer: A
Question: A manufacturer of a certain type of screw rejects any screw whose length is less than 2.47 centimeters or greater than 2.5 + 0.03 centimeters. If k represents the length of a screw, in centimeters, which of the following inequalities specifies all the lengths of screws that are acceptable?
Choices:
|k — 0.03| <= 2.5
|k — 2.5| > 0.03
|k — 2.5| >= 0.06
2|k — 2.5| <= 0.06
Answer: D
Question: We invested a total of $1,000. We invested one part of the money at 3% and the rest of the money at 6%. The total investment with interest at the end of the year was $1,052.50. How much money did we invest at 3%?
Choices:
$190
$220
$250
$280
Answer: C
Question: If n is an integer greater than 7, which of the following must be divisible by 3?
Choices:
n(n+5)(n+3)
n(n+2)(n-1)
n(n-4)(n-2)
n(n-7)(n+3)
Answer: C
Question: A vendor bought bananas at 6 for Rs.10 and sold them at Rs.4 for Rs.6 .Find his gain or loss percent .
Choices:
10%
30%
40%
50%
Answer: A
Question: Amar, Bhavan and Chetan divide an amount of Rs. 5600 among themselves in the ratio 3 : 6 : 5. If an amount of Rs. 400 is deducted from each of their shares, what will be the new ratio of their shares of the amount?
Choices:
2 : 9 : 4
2 : 5 : 4
2 : 5 : 3
2 : 5 : 1
Answer: B
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Choices:
7.5
2.25
1.5
4:9
Answer: C
Question: Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability that private Benjamin will be chosen for latrine duty?
Choices:
1/5
2/5
3/5
4/5
Answer: B
Question: Jane makes toy bears. When she works with an assistant, she makes 62 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
Choices:
80%
100%
180%
200%
Answer: A
Question: If the cost price of 22 pens is equal to the selling price of 20 pens, the gain percent is:
Choices:
26%
50%
80%
10%
Answer: D
Question: How much is 70% of 40 is greater than 4/5 of 25?
Choices:
67
88
12
8
Answer: D
Question: A hall 36m long and 15m broad is to be paved with stones, each measuring 6dm by 5 dm. The number of stones required is:
Choices:
1800
18
18000
1.8
Answer: A
Question: What is the average of first 21 multiples of 7 ?
Choices:
77
88
21
65
Answer: A
Question: A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his
average after 17th match
Choices:
37
38
39
40
Answer: C
Question: A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?
Choices:
145
100
160
140
Answer: D
Question: If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:
Choices:
125m
100m
110m
None of these
Answer: A
Question: A 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Choices:
240m
250m
260m
270m
Answer: C
Question: In a store, the total price for 25 shirts is $400 and the total price for 75 sweaters is $1500. By how much does the average (arithmetic mean) price of a sweater exceed that of a shirt in this store?
Choices:
$2
$3
$4
$5
Answer: C
Question: There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Choices:
40
28
27
29
Answer: A
Question: In a group of 95 students, 36 are taking History, and 32 are taking Statistics. If 59 students are taking History or Statistics or both, then how many students are taking History but not Statistics?
Choices:
19
23
45
27
Answer: D
Question: The speed of a subway train is represented by the equation z=s^2+2s for all situations where 0≤s≤7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. In kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 2 seconds?
Choices:
55
15
48
63
Answer: A
Question: A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 9 minutes less than they can row it in still water. How long would they take to row down with the stream
Choices:
63 or 12 minutes
60 minutes
19 minutes
25 minutes
Answer: A
Question: A reduction of 10% in the price of salt enables a lady to obtain 20kgs more for Rs.400, find the original price per kg?
Choices:
2.8
2.2
2.5
3.0
Answer: B
Question: In how many different ways can 4 boys and 2 girls sit on a bench such that the girls always sit together?
Choices:
240
320
360
400
Answer: A
Question: A and B walk around a circular track. They start at 1 p.m from the same point in the opposite directions. A and B walk at a speed of 4 rounds per hour and 6 rounds per hour respectively. How many times shall they cross each other before 4 p.m
Choices:
20
25
30
35
Answer: C
Question: Between 1800 and 1850 a population of a country increased from 12 million to 15 million. Between 1850 and 1900 its population increased from 15 million to 22 million. By what percent did the rate of population growth increase from the period 1800-1850 to the period 1850-1900?
Choices:
75%-100%
126%-150%
151%-175%
176%-200%
Answer: A
Question: Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
Choices:
5/18
18/7
18/5
7/18
Answer: D
Question: Sam invested Rs. 8000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
Choices:
11520.0
8820.0
7354.0
16537.11
Answer: B
Question: The value of x is to be randomly selected from the integers from 1 to 7, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?
Choices:
2/7
1/7
3/7
7/10
Answer: B
Question: Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
Choices:
383
402
433
483
Answer: B
Question: In an xy-coordinate plane, a line is defined by y = kx + 1. If (2, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
Choices:
1
3/2
2
5/2
Answer: A
Question: A person can row at 9 kmph and still water. He takes 3 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Choices:
16 km
89 km
67 km
20 km
Answer: A
Question: A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Choices:
49
20
82
13
Answer: B
Question: In a shop X number of kinds of fruits are there and 40 number of kinds of vegetables are there, then 1% of vegetable is equal to 20% of fruits then how many kinds of fruits are there
Choices:
20
70
90
1,40
Answer: A
Question: The width of a rectangular hall is ½ of its length. If the area of the hall is 200 sq.m, what is the difference between its length and breadth?
Choices:
10m
12m
15m
17m
Answer: A
Question: A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes forty minutes and 1.5 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab?
Choices:
3/10
5/11
6/13
7/15
Answer: C
Question: If n is an integer and 102n^2 is less than or equal to 8100, what is the greatest possible value of n?
Choices:
8
9
10
11
Answer: A
Question: A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 23 gallons of gasoline?
Choices:
284.6
300
280
312
Answer: C
Question: Vasya wrote down several consecutive integers. Which of the following could not be the percentage of even numbers among them?
Choices:
40
48
50
60
Answer: A
Question: Jar X is 1/4 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?
Choices:
1/4
1/3
1/2
2/3
Answer: C
Question: Two goods trains each 2000 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:
278
192
27
21
Answer: B
Question: If r and t are positive integers, rt + r + t cannot be
Choices:
6
7
8
9
Answer: A
Question: A certain ski shop sells pairs of gloves in 10 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?
Choices:
1/143
1/24
1/23
1/19
Answer: D
Question: In State X, all vehicle license plates have 2 letters from the 26 letters of the alphabet followed by 3 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
Choices:
60,840
67,600
608,400
676,000
Answer: D
Question: A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
Choices:
5760 lr
6500 lr
4000 lr
4500 lr
Answer: A
Question: A person walking at a constant rate of 6 miles per hour is passed by a cyclist traveling in the same direction along the same path at 10 miles per hour. the cyclist stops to wait for the person 10 minutes after passing her, while the person continues to walk at her constant rate, how many minutes must the cyclist wait until the person catches up?
Choices:
11min
20min
40min
1hour
Answer: A
Question: A focus group is currently made up of x men and y women. If 3 men and 7 women are added to the group, and if one person is selected at random from the larger focus group, then what is the probability that a man is selected?
Choices:
x/(x + y)
(y + 3)/(x + y + 7)
(y + 4)/(x + y + 10)
(x + 3)/(x + y + 10)
Answer: D
Question: A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10% protein and food Y contains 15% protein. If the rabbit's diet provides exactly 35 grams of protein daily, how many grams of food X are in the mixture.
Choices:
140
150
160
200
Answer: D
Question: In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
70%
60%
50%
40%
Answer: A
Question: Look at this series: 28, 25, 30, 27, 32, 29, ... What number should come next?
Choices:
34
30
31
36
Answer: A
Question: If the area of a circle is 81pi square feet, find its circumference.
Choices:
38
51
92
18
Answer: D
Question: On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on october 1 than were in stock on January 1?
Choices:
12
20
32
36
Answer: D
Question: 0.35 represents what percent of 7?
Choices:
0.5%
5%
500%
5000%
Answer: B
Question: How many integers between 5000 and 6000 that have distinct digits and increase from left to right ?
Choices:
48
60
20
600
Answer: C
Question: 3 and 9 are the first two terms in a geometric sequence. What is the arithmetic difference between the 7th term and the 5th term?
Choices:
3* 3^13 - 5 * 3^11
3^13
8 * 3^6
3^12 - 3^10
Answer: C
Question: How many positive integers t less than 30 have no common prime factor with 30?
Choices:
6
7
8
9
Answer: C
Question: An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
Choices:
8 : 7
4 : 1
6 : 5
None of these
Answer: A
Question: There were totally 100 men.83 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married?
Choices:
12
13
14
15
Answer: B
Question: There are 15 slate rocks, 20 pumice rocks, and 10 granite rocks randomly distributed in a certain field. If 2 rocks are to be chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Choices:
7/22
1/9
7/66
2/45
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Choices:
288
277
2912
321
Answer: A
Question: A boy has six trousers and 9 shirts. In how many different ways can he select a trouser and a shirt?
Choices:
78 ways
56 ways
54 ways
189 ways
Answer: C
Question: A baseball player hit the following number of home runs in consecutive years: 35, 38, 39, 43, and 44. If the player had hit 3 additional home runs in the last year, which of the following statements best describes the change in the mean and the median of the home runs?
Choices:
The mean will remain unchanged but the median will increase.
The mean will increase but the median will remain unchanged.
The mean and the median will increase by the same amount.
The mean and the median will increase by different amounts.
Answer: B
Question: The present ages of three persons are in the proportion of 4 : 7 : 9. Eight years ago, the sum of their ages was 76. Find their present ages.
Choices:
20,35,45
16,28,36
16,28,46
None of these
Answer: A
Question: Bipin is 6 times old as Alok. Bipin's age will be twice of Chandan's age after 10 years. If Chandan's 7th birthday was celebrated 3 years ago, what is Alok's present age ?
Choices:
3
4
5
6
Answer: C
Question: At a school, three-fifths of the male students and two-thirds of the female students speak a foreign language. If the number of males is two-thirds the number of females, what fraction of the students speak a foreign language?
Choices:
14/25
16/25
18/25
21/25
Answer: B
Question: The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Choices:
3
8
6
2
Answer: A
Question: The sum of the two numbers is 16 and their product is 35. What is the sum of the reciprocals of these numbers?
Choices:
16/35
35/8
7/32
None of these
Answer: A
Question: Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is?
Choices:
76
85
22
99
Answer: B
Question: In a certain circle there are 10 points. What is the number of the triangles connecting 5 points of the 10 points?
Choices:
96
108
120
252
Answer: D
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 110?
Choices:
35
25
18
12
Answer: A
Question: If the price of 23 balls is 276, then what will the price of 12 balls?
Choices:
144
156
186
None of these
Answer: A
Question: As a treat for her two children, a mother runs to the freezer in which she has three cherry ice pops, three orange ice pops, and four lemon ice pops. She chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one being jealous of the other and getting even more upset. What is the probability that she has to return to the freezer to make sure that they each receive the same flavor?
Choices:
3/7
7/12
11/15
17/25
Answer: C
Question: which one is odd?
4377
3954
9862
8454
9831
Choices:
3954
9862
8454
None
Answer: B
Question: In a box of 8 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Choices:
5/14
2/13
2/15
1/17
Answer: A
Question: There are 408 boys and 192 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.
Choices:
25
35
30
45
Answer: A
Question: A tourist purchased a total of $1,400 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?
Choices:
$1,310
$1,290
$1,170
$1,150
Answer: C
Question: The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 150 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
Choices:
120
160
360
600
Answer: D
Question: A fair 2 sided coin is flipped 8 times. What is the probability that tails will be the result at least twice, but not more than 8 times?
Choices:
3/4
7/8
157/64
143/128
Answer: D
Question: A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes William can make using this recipe?
Choices:
5
7
8
9
Answer: A
Question: In an intercollegiate competition that lasted for 3 days, 150 students took part on day 1, 110 on day 2 and 140 on day 3. If 75 took part on day 1 and day 2 and 25 took part on day 2 and day 3 and 15 took part on all three days, how many students took part only on day 2?
Choices:
35
45
25
60
Answer: C
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Choices:
1/26
1/87
1/67
1/21
Answer: A
Question: The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?
Choices:
B)8
C)6
D)14
E)9
Answer: C
Question: If 5^23 * 4^12 = 2 * 10^n, what is the value of n?
Choices:
21
22
23
32
Answer: C
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent. Overall he make a.
Choices:
50
27
200
881
Answer: A
Question: A began business with 45,000 and was later joined by B with 54,000. When did B join if the profit at the end of the year were divided in the ratio 2 : 1?
Choices:
10 months after
7 months after
12 months after
None of these
Answer: B
Question: A military commander has to choose 6 soldiers out of a company of 9 for guarding the headquarters. How many different group combinations of 6 does he have to choose from?
Choices:
84
16
27
35
Answer: A
Question: Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 1/3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
Choices:
7/15
4/15
1/3
2/5
Answer: A
Question: 45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 55 meters deep by working for 6 hours?
Choices:
55
60
65
70
Answer: C
Question: The product of all the prime numbers less than 22 is closest to which of the following powers of 10?
Choices:
b) 10^7
c) 10^8
d) 10^6
e) 10^5
Answer: A
Question: If r = ||s – 3| – 2|, for how many values of s is r = 7?
Choices:
5
2
1
3
Answer: B
Question: What is the place value of 1 in the numeral 1259
Choices:
A)1000
C)2900
D)2980
E)3000
Answer: A
Question: A grocer buys apples for 81¢ per pound. If 10% of the apples goes bad and he still wants to make a 20% profit over his purchase price, what should be the sales price?
Choices:
108¢
110¢
95¢
99¢
Answer: A
Question: In a graduating class of 242 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Choices:
119
113
88
123
Answer: D
Question: Ram professes to sell his goods at the cost price but he made use of 975 grms instead of a kg, what is the gain percent?
Choices:
4 22/39%
2 22/39%
7 22/39%
9 22/39%
Answer: B
Question: If the probability that Stock A will increase in value during the next month is 0.54, and the probability that Stock B will increase in value during the next month is 0.68. What is the greatest value for the probability that neither of these two events will occur?
A.
B.
C.
D.
E.
Choices:
0.32
0.37
0.46
0.63
Answer: A
Question: A tradesman fixed his selling price of goods at 30% above the cost price. He sells half the stock at this price, one-quarter of his stock at a discount of 15% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage altogether?
Choices:
15.375%
15.575%
16.375%
16.5%
Answer: A
Question: An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
Choices:
16 7/3%
16 2/8%
16 2/3%
76 2/3%
Answer: C
Question: 5 liters of a 20 percent solution of alcohol in water are mixed with 3 liters of a 12 percent alcohol in water solution. What is the percentage of alcohol in the new solution?
Choices:
17.0%
17.3%
17.6%
17.9%
Answer: A
Question: The length, breadth and height of a room are in the ratio 12 : 4 : 4. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Choices:
(b) decrease by 13.64%
(c) decrease by 15%
(d) decrease by 18.75%
(e) decrease by 30%
Answer: C
Question: A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?
Choices:
32
36
40
45
Answer: C
Question: How many 2's are there between the terms 112 to 375?
Choices:
A)156
C)158
D)159
E)160
Answer: A
Question: What is greatest positive integer n such that 2^n is a factor of 12^11?
Choices:
b)12
c)22
d)20
e)60
Answer: B
Question: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Choices:
9261
9262
9231
9263
Answer: A
Question: How many liters of water must be evaporated from 50 liters of a 1-percent sugar solution to get a 10-percent solution?
Choices:
40
42
45
48
Answer: C
Question: A fair coin is tossed 13 times. What is the probability of getting more heads than tails in 13 tosses?
Choices:
1/2
4/7
61/256
63/64
Answer: A
Question: N is a positive integer. When N + 1 is divided by 6, the remainder is 4. What is the remainder when N is divided by 2?
Choices:
5
1
3
2
Answer: B
Question: A man sitting in a train which is traveling at 70 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
Choices:
58 kmph
62 kmph
65 kmph
42 kmph
Answer: D
Question: The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
Choices:
100
288
267
281
Answer: A
Question: A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:
Choices:
13 1/2%
15%
16 2/3%
None of these
Answer: B
Question: The variables a and b are non-zero integers F. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
Choices:
c is halved.
c is doubled.
c is multiplied by 4.
c is multiplied by 16.
Answer: D
Question: In the coordinate plane, points (x, 1) and (4, y) are on line k. If line k passes through the origin and has slope 1/4, then x + y =
Choices:
2
4
5
7
Answer: C
Question: If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is:
Choices:
12
16
19
None of these
Answer: A
Question: If 1/(m – 2) = 1/(m + 2) + 1/(m – 1), which of the following is a possible value of m?
Choices:
0
-2
1
2
Answer: A
Question: The sum of squares of three numbers is 764 and sum of their products taken two at a time is 500. What is their sum?
Choices:
42
52
32
33
Answer: A
Question: A, B and C enter into a partnership by investing $7000, $11000 and $18000 respectively. At the end of 8 months, B receives $880 as his share. Find the share of A.
Choices:
$440
$560
$670
$780
Answer: B
Question: A man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. His rowing speed in still water is
Choices:
5 kmph
6 kmph
7 kmph
None of these
Answer: A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 16%, then the cost price of the article is:
Choices:
334
531
664
5598
Answer: B
Question: Find the value of e from (14)^2 x 5^3 Ã· 568 = e.
Choices:
43.1
40.1
23.1
45.1
Answer: A
Question: In how many ways can the letters of the word 'LEADER' be arranged?
Choices:
35 ways
670 ways
230 ways
360 ways
Answer: D
Question: Evaluate:58- 12*3*2 =?
Choices:
50
62
72
82
Answer: A
Question: A spike is hammered into a train rail. You are standing at the other end of the rail. You hear the sound of the hammer strike both through the air and through the rail itself. These sounds arrive at your point six seconds apart. You know that sound travels through air at 1100 feet per second and through steel at 16,500 feet per second. How far away is that spike?
Choices:
7070.25 ft
6070.25
8070.25
7170.25
Answer: A
Question: How many positive factors of 42 are not factors of 56?
Choices:
2
3
4
5
Answer: C
Question: The total of 334 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
Choices:
250
278
200
288
Answer: A
Question: The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Choices:
13
23
33
43
Answer: B
Question: The average (arithmetic mean) of four different positive integers is 15. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
Choices:
8
3
2
1
Answer: A
Question: Country X imported approximately $1.20 billion of goods in 1996. If Country X imported $288 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
Choices:
$120 million
$144 million
$240 million
$528 million
Answer: D
Question: What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?
Choices:
100
16
20
25
Answer: A
Question: How many litres of pure salt are there in 12 litres of a 25% solution?
Choices:
1.41 litres
2.56 litres
3 litres
34litres
Answer: C
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
Choices:
45%
12%
17%
42%
Answer: B
Question: present ages of A and B are in the ratio of 5:4 respectively. 5 years ago, the ratio of their ages was 4:3 respectively . what A's age in 5 year ago in years?
Choices:
24
40
32
20
Answer: D
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
Choices:
277 m
245 m
256 m
267 m
Answer: B
Question: In the formula V = (2r)^4, if r is halved, then V is multiplied by?
Choices:
8
1
1/8
1/16
Answer: D
Question: A mixture of 180 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Choices:
8 liters
10 liters
12 liters
12.5 liters
Answer: C
Question: If equation |x/2| + |y/2| = 2 encloses a certain region on the coordinate plane, what is the area of this region?
Choices:
32
100
200
400
Answer: A
Question: If two positive numbers are in the ratio 1/7 : 1/5, then by what percent is the second number more than the first?
Choices:
90%
60%
40%
65%
Answer: C
Question: A, B and C have Rs.500 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choices:
50
88
65
21
Answer: A
Question: The difference between the place value and the face value of 4 in the numeral 854973 is
Choices:
6973
3996
6084
None of these
Answer: B
Question: What is the probability of rolling three six-sided dice, and getting a different number on each die?
Choices:
1/3
4/9
5/9
7/18
Answer: C
Question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 60 minutes. When both pipes are opened, find when the cistern will be full?
Choices:
87 minutes
30 minutes
27 minutes
11 minutes
Answer: B
Question: In a survey about potential presidential candidates A and B, 35% of the public like A and 53% like B. If the percentage of the public who like one candidate only is twice the percentage of the public who like both candidates, then what is the percentage of the public that like neither?
Choices:
34%
41%
22%
66%
Answer: A
Question: In a set of three numbers,the difference between the largest and the second largest numbers is added to the smallest number.The average of the largest,second largest and the new number formed exceeds the average of the original three numbers by 8.The largest number exceeds the second largest number by how much ?
Choices:
10
15
30
60
Answer: B
Question: A student completes a 3 part exam as follows. The student completes sections A in 6 minutes and takes an equal time to complete the two remaining sections. What is the ratio of time spent on section C to section A if the total duration is 1 hour?
Choices:
9:2
8:3
5:2
6:1
Answer: A
Question: Average of six numbers comes out to be 3.95. Average of two of the numbers is 3.4 while the average of other two is 3.85. Determine the average of the two numbers left.
Choices:
4.6
4.2
1.4
3.5
Answer: A
Question: How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
Choices:
6 years
5 years
2 years
7 years
Answer: C
Question: If x > 0, x/50 + x/5 is what percent of x?
Choices:
25%
37 1/2%
60%
75 %
Answer: A
Question: The salary of a person was reduced by 20%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Choices:
15%
20%
25%
50%
Answer: C
Question: Bob can fill Q cans of water in 5 minutes. If there are R cans of water in one gallon, how many gallons can Bob fill in 55 minutes?
Choices:
11R/Q
11QR
11Q/R
5R/Q
Answer: C
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
Choices:
1/2
1/5
1/6
1/8
Answer: A
Question: What inequality represents the condition 1<x<11?
Choices:
|x-6|<5
|x-1|<9
|-5+x|<4
|3+x|<5
Answer: A
Question: 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Choices:
2776
4400
2871
881
Answer: B
Question: Ramanujan buys an old scooter for Rs. 5400 and spends Rs. 600 on its repairs. If he sells the scooter for Rs. 6600, his gain percent is :
Choices:
12%
10%
5%
None of these
Answer: B
Question: If a: b = 7: 5, b: c = 9: 11, find a: b: c?
Choices:
63: 45: 55
14: 14: 15
7: 14: 15
9: 12: 17
Answer: A
Question: What is the sum of the digits of integer k, if k = (10^40- 46)
Choices:
351
363
369
378
Answer: A
Question: There are 5 physics books and 1 chemistry book on shelf P and 3 physics books on shelf Q. One book is moved from shelf P to shelf Q. A student picks up a book from shelf Q. What is the probability that the chemistry book is taken by the student?
Choices:
1/36
1/30
1/24
1/18
Answer: C
Question: In a game of 80 points; A can give B 5 points and C 15 points. Then how many points B
can give C in a game of 60 ?
Choices:
8
9
10
11
Answer: A
Question: Of the following values of n, the value of (-1/5 )^(-n) will be greatest for n =?
Choices:
4
0
-4
-3
Answer: A
Question: Meg and Bob are among the 8 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
Choices:
3000
20160
9000
1200
Answer: B
Question: The average of 15 numbers is calculated as 20. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
30
16
97
12
Answer: A
Question: The initial price of an article is Rs.6000 which increases 40% increse in its price in the first year,a 20% decrease in the second year and a 20% increase in the next year. What is the final price of the article ?
Choices:
Rs.6392
Rs.8392
Rs.7392
Rs.9392
Answer: C
Question: If the first day of a year (other than leap year) was Monday, then which was the last day of that year?
Choices:
Friday
Tuesday
Monday
None of these
Answer: C
Question: Which of the following numbers completes
the sequence 3, 8, 14, 21, 29, ___?
Choices:
36
37
38
39
Answer: C
Question: A, B and C shared profits in ratio of 9 : 7 : 8. Theypartnered for 14months, 8months and 7months respectively. What was he ratio of their investments ?
Choices:
20 : 49 : 64
10 : 19 : 64
20 : 29 : 64
36 : 29 : 63
Answer: D
Question: A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices:
20
45
25
60
Answer: A
Question: A garrison of 300 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
Choices:
45 days
35 days
25 days
40 days
Answer: A
Question: If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 5m + n?
Choices:
65
20
25
33
Answer: A
Question: The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
Choices:
Rs.19,828.80
Rs.19,898.80
Rs.19,588.80
Rs.19,899.80
Answer: A
Question: In a company of 170 employees, 110 are females. A total of 80 employees have advanced degrees and the rest have a college degree only. If 25 employees are males with college degree only, how many employees are females with advanced degrees?
Choices:
45
50
55
60
Answer: A
Question: Car Dealership X, the total profit from sales increased by 12 percent over the previous years, while the number of cars sold decreased by 12 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
Choices:
20%
22%
27.27%
35%
Answer: C
Question: The number of sailors on a ship is 50% more than the number of officers. The ratio of sailors to officers would be
Choices:
47:20
3:2
22:25
97:50
Answer: B
Question: Two pipes A and B fill at a certain rate.B is filled at 10,20,40,80(10 in 1 hour,20 in 2 hours,40 in 3 hrs and so on). if 1/16 of B is filled in 17 hrs,what time it will take to get completely filled?
Choices:
21 hrs
22 hrs
23 hrs
24 hrs
Answer: A
Question: How many days per calendar year is the month a factor of the day
Choices:
1
59
90
124
Answer: D
Question: A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 60% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Choices:
1.2 lakh
1.9 lakh
8.1 lakh
6.1 lakh
Answer: A
Question: A person travels equal distances with speeds of 3km/hr, 4km/hr, 5km/hr. and takes a total time of 47minutes. Find the total distance ?
Choices:
3
5
4
6
Answer: A
Question: The arithmetic mean of set M is zero. If N = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of M consisting of all those elements in M which are more than two but less than three standard deviations away from the arithmetic mean of M, what could be equal to the standard deviation of M?
Choices:
0.77
0.82
0.97
1.62
Answer: A
Question: If the price of a computer were reduced by 14 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)
Choices:
$844.10
$1,053.50
$1,135.20
$1,259.90
Answer: A
Question: Gary started driving at 9:00 am from city A towards city B at a rate of 50 mph. At a rate that is 15 mph higher than Gary's, Thomas started driving at the same time as John from city B towards city A. If Gary and Thomas crossed each other at 11 am, what is the distance beween the two cities?
Choices:
230 miles
250 miles
260 miles
270 miles
Answer: A
Question: Tim and Tom are workers in a department that has a total of 9 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
Choices:
1/34
1/33
1/36
1/37
Answer: C
Question: If the number of white balls in a box are 6 times the black balls, which of the below is the total number of balls, if there are 8 black balls in the box?
Choices:
A - 56
C - 58
D - 59
E - 60
Answer: A
Question: There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Choices:
12
14
13
18
Answer: C
Question: Train X and train Y pass one another traveling in opposite directions. Sixty minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?
Choices:
40
65
72
80
Answer: B
Question: Sam bought 50 candles and 3 lighters costing 2 dollars each. How was Sam's total?
Choices:
103
56
106
55
Answer: C
Question: 2 identical circles intersect so that their centre and point at which they intersect form a square of 1 cm.the area of portion that is common two circles is
4
Choices:
4
√2-1
√5
π/2-1
Answer: D
Question: In the first week of last month, Company X realized an average wholesale profit of $1428 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Choices:
$4
$7
$13
$51
Answer: C
Question: Ritesh and Co. generated revenue of Rs. 1,500 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
Choices:
20.83%
25%
50%
None of these
Answer: A
Question: Two trains of equal lengths take 12 sec and 24 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Choices:
12 sec
17 sec
21 sec
16 sec
Answer: D
Question: A student is ranked 17th from right and 5th from left. How many students are there in totality ?
Choices:
19
20
21
22
Answer: C
Question: An ant walks an average of 500 meters in 60 minutes. A beetle walks 15% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
Choices:
0.5
0.75
0.425
0.3
Answer: C
Question: A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Choices:
20
18
15
30
Answer: A
Question: log42 - log82 + log16 2 -…. to ∞ is
Choices:
ln2+1
ln2-1
1-ln2
None of these
Answer: C
Question: A man wants to cross a home, which has 2 doors on one side and 1 door on other site. He has 2 x 1=2 ways for it.
Choices:
1
3
4
5
Answer: A
Question: A candidate appearing for an examination has to secure 42% marks to pass paper I. But he secured only 42 marks and failed by 22 marks. What is the maximum mark for paper I?
Choices:
120
130
152
150
Answer: C
Question: In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
Choices:
13
40
20
30
Answer: D
Question: A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?
Choices:
18
24
30
35
Answer: A