antoine-444/aqua_rat_dataset huggingface dataset:
Question: If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 7n years to that after 3n years?
Choices:
(1+k)^n
(1+kn/100)
(1+k/100)^4n
(1+kn)
Answer: C
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase Q in sales?
Choices:
17%
20%
65%
83%
Answer: B
Question: How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choices:
28 sec
24 sec
25 sec
26 sec
Answer: A
Question: The total cost of a vacation was divided among 4 people. If the total cost of the vacation had been divided equally among 5 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
Choices:
$300
$400
$500
$1000
Answer: D
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Choices:
1651
1267
1627
1261
Answer: D
Question: Truck P and Truck Q drive on the highway in the same direction at respective rates of 72 kph and 80 kph. If Truck Q is 5 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 30 minutes?
Choices:
2 kph
6 kph
8 kph
10 kph
Answer: A
Question: If A and B are positive integers, A - 4 is divisible by 4 and B - 2 is divisible by 2, all of the following could be the value of A - B Except?
Choices:
8
10
14
3
Answer: D
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Choices:
50
277
92
11
Answer: A
Question: Simple interest on a certain sum is 36 over 25 of the sum. Find the rate per cent and time, if both are equal.
Choices:
6% and 6 years
10% and 10 years
12 % and 12 years
None of these
Answer: C
Question: What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
The number is multiple of 51.
The sum of the digits a and b is 6.
Choices:
I alone sufficient while II alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: A
Question: A certain company had a total annual expenditure of 1.26∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
Choices:
$25,000
$35,000
$30,000
$45,000
Answer: C
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 9:6:5, respectively, by weight. If 40 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Choices:
12
8
6
4
Answer: B
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choices:
2777
2928
15000
2882
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
45
49
46
Answer: A
Question: Taylor works in a bakery. He made cookies that cost $2.50 and made $350. How many customer did he have?
Choices:
185 customers
250 customers
100customers
140 customers
Answer: D
Question: A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is?
Choices:
26
80
26
92
Answer: B
Question: The weight of a glass of jar is 25% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Choices:
1/3
2/5
1/2
7/15
Answer: D
Question: A Taxi Company marks their tickets 30% more than the real price and allows 30% discount. Company's loss is:
Choices:
7%
8%
9%
None of these
Answer: C
Question: We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 144 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
Choices:
a 216
c 170
d 140
e 121
Answer: A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Choices:
22 years
21 years
20 years
30 years
Answer: A
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Choices:
36/145
1/214
2/213
3/271
Answer: A
Question: The sides of a cube measures 8cm. If the surface area of the cube is the same as a ball, what is the radius of the ball? Round to the nearest whole number.
Choices:
8
7
6
5
Answer: C
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 2km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
Choices:
20km
60km
80km
90km
Answer: A
Question: Think of a number, divide it by 4 and add 9 to it. The result is 15. What is the number thought of?
Choices:
24
297
267
29
Answer: A
Question: Can you find the missing number in the sequence given below
11 19 27 12 20 ? 13 21 29 14 22 30
Choices:
20
28
23
24
Answer: B
Question: How many odd numbers between 10 and 1400 are the squares of integers?
Choices:
17
20
23
26
Answer: A
Question: Percentage of profit earned by selling a book for $1320 is equal to the percentage loss incurred by selling the same book for $880. What price should the book be sold to make 30% profit?
Choices:
$1000
$1250
$1430
$1620
Answer: C
Question: Two taps can separately fill a cistern 5 minutes and 7.5 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Choices:
3.7
3.6
3.9
3.5
Answer: B
Question: When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Choices:
10 years
14 years
19 years
20 years
Answer: A
Question: If n = 2ab, where a and b are distinct prime numbers greater than 2, how many different positive even divisors does n have, including n ?
Choices:
Three
Four
Six
Eight
Answer: B
Question: If -3x < 9, which of the following must be true?
Choices:
x < -2
x > -3
x > -2
x > 0
Answer: B
Question: A scooter costs 50,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Choices:
12,500
12,800
12,000
25,600
Answer: D
Question: In a recent election, Ms. Robbins received 4,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
Choices:
0.06N + 4,000
0.4N + 7,200
0.1N + 8,000
0.06N + 8,000
Answer: A
Question: A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?
Choices:
4
6
5
7
Answer: B
Question: A bowl was filled with 10 ounces of water, and 0.004 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
Choices:
0.04%
0.40%
2%
40%
Answer: C
Question: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choices:
277
297
450
121
Answer: C
Question: The greatest number that divides 210, 1200 and 1450 and leaving remainder 6, 10 and 5 respectively is:
Choices:
17
19
21
23
Answer: A
Question: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits A can does Grace have available during her trip?
Choices:
1,260
620
360
120
Answer: A
Question: Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choices:
1500
1997
2677
1971
Answer: A
Question: The positive value of x that satisfies the equation (3 + 2x)^5 = (1 + 3x)^4 is between
Bunuel, can you please explain this one?
Choices:
0.5 and 1
1 and 1.5
1.5 and 2
2 and 2.5
Answer: C
Question: If a certain sample of data has a mean of 15.0 and a standard deviation of 2.0, which of the following pairs contain two values that are each at least 2.5 standard deviations from the mean?
Choices:
(8.5; 21.0)
(14.0; 26.5)
(16.5; 26.0)
(21.0; 26.5)
Answer: A
Question: A circular well with a diameter of 4 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out?
Choices:
36 m3
40 m3
44 m3
176 m3
Answer: D
Question: A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 18 inches, how many inches of framing material does the carpenter need to frame the painting?
Choices:
22 1/2
37 1/2
50
90
Answer: D
Question: Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern?
Choices:
100 min
110 min
120 min
130 min
Answer: A
Question: Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
Choices:
7 1/7 sec
7 8/2 sec
7 1/9 sec
7 2/2 sec
Answer: C
Question: A, B and C rents a pasture for Rs.435. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Choices:
135
268
198
176
Answer: A
Question: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 120 six-ounce servings of orange juice?
Choices:
15
18
21
24
Answer: A
Question: If M is the mean of x,y,z ; then what is the mean of x+5,y+5 and z+5
Choices:
3M
10M
M+10
M+5
Answer: D
Question: The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
Choices:
17/25
17/29
17/98
17/20
Answer: A
Question: If 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other?
Choices:
2/33
1/3
16/33
11/12
Answer: C
Question: If 12 men or 20 women can do a piece of work in 108 days, then in how many days can 9 men and 12 women together do the work?
Choices:
30 days
20 days
80 days
40 days
Answer: C
Question: In a deck of cards there are 48 cards numbered from 1 to 13. There are 8 cards of each number in the deck. If you insert 12 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Choices:
4/17.
5/29.
4/13.
1/3.
Answer: D
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 14?
Choices:
21
34
8
55
Answer: C
Question: The average of 10 numbers is calculated as 5. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
Choices:
3
4
5
6
Answer: D
Question: On a ferry, there are 27 cars and 13 trucks. The cars have an average mass of 1100 kg and the trucks have an average mass of 3000 kg. What is the average mass of all 40 vehicles on the ferry?
Choices:
1616.5
1717.5
1818.5
1919.5
Answer: B
Question: A pump can fill a tank with a water in 2 hours. Because of a leak, it took 3 hours to fill the tank. The leak can drain all the water of the full tank in how many hours?
Choices:
3
4
5
6
Answer: D
Question: Average of 10 two digit positive integer is Z. However, one number AB is taken as BA, then the average increases to Z+2.7. How many set of values for A and B are possible?
Choices:
6
7
8
9
Answer: A
Question: In a restaurant, the profit is 150% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Choices:
55%
90%
100%
None of these
Answer: A
Question: A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Choices:
Rs.890
Rs.600
Rs.1190
Rs.450
Answer: C
Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased?
Choices:
2/7
1/7
3/7
6/7
Answer: B
Question: A car gets 27 miles to the gallon. If it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. If the fuel tank holds 14 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Choices:
126
132
138
144
Answer: A
Question: Find the roots of quadratic equation: 2x^2 + 5x + 2 = 0?
Choices:
-2, -1/2
4, 1
-2, 5/2
1, 5
Answer: A
Question: Running 3/4th of his usual rate, a man is 8min late. Find his usual time in hours ?
Choices:
3/4 hrs
2/5 hrs
3/4 hrs
1/4 hrs
Answer: B
Question: A certain truck uses 18 gallons of diesel fuel in traveling 230 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?
Choices:
8
12
15
27
Answer: A
Question: An error 2% in excess ismade while measuring the side ofa square. The % of error in the calculated area of the square is?
Choices:
4.04%
4.16%
4.30%
5%
Answer: A
Question: Find the value for x from below equation: x/3=-6?
Choices:
11
-12
-18
14
Answer: C
Question: A train 260 m long passed a pole in 13 sec. How long will it take to pass a platform 740 m long?
Choices:
50 sec
60 sec
65 sec
70 sec
Answer: A
Question: A man's speed with the current is 22 km / hr and the speed of the current is 4 km / hr. The man's speed against the current is
Choices:
9 km / hr
10 km / hr
14 km / hr
None
Answer: C
Question: In a class of students, 2/3 of the number of girls is equal to 1/5 of the total number of students. What is the ratio of boys to girls in the class?
Choices:
2/3
4/3
5/3
7/3
Answer: D
Question: 10 men do a work in 10days. How many men are needed to finish the work in 5days?
Choices:
20
30
10
15
Answer: A
Question: What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?
Choices:
2 x 3 x 9
2 x 3
2 x 7 x 9 x 11
None
Answer: B
Question: 70% of the employees in a multinational corporation have VCD players, 75 percent have microwave ovens, 80 percent have ACs and 85 percent have washing machines. At least what percentage of employees has all four gadgets?
Choices:
5%
10%
20%
25%
Answer: B
Question: Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 663 and for 36kgs of Apples is 726 then the cost of first 10 kgs of Apples is
Choices:
150
200
350
450
Answer: B
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choices:
47.14 cm
84.92 cm
94.94 cm
23.57 cm
Answer: D
Question: From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 7, what is the probability that the 2 numbers included the number 5?
Choices:
2/5
3/10
3/5
1/3
Answer: D
Question: A Train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long. Find the speed of the train.
Choices:
70 kmph
72 kmph
60 kmph
50 kmph
Answer: B
Question: The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 30%. What is the mark up on the cost price?
Choices:
8%
25%
17%
9%
Answer: C
Question: Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.3 per ounce. If the blend of Arabica and Robusta costs $0.37 per ounce, what is the share of Arabica in this blend?
Choices:
24%
70%
33%
40%
Answer: B
Question: A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?
Choices:
1:2:1
1:2:2
1:2:4
2:2:4
Answer: C
Question: I given the responsibility to organize the American open.
* The number of players come for this match are 64.
* Its a knock-out tournament , each player is eliminated as soon as he looses a match.
For planning these matches i need to count the number of matches that need to played in this tournament.
How many matches will be played ?
Choices:
71
48
50
63
Answer: D
Question: Vijay bought 160 shirts at the rate of Rs. 255 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
Choices:
Rs. 321
Rs. 277.5
Rs. 285
None of these
Answer: A
Question: Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 240 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
Choices:
960
768
1920
640
Answer: A
Question: The difference between the local value and face value of 7 in the numeral 657903 is:
Choices:
7896
6993
903
803
Answer: B
Question: I bought two books; for Rs.480. I sold one at a loss of 15% and other at a loss of 25% and then I found each book was sold at the same price. Find the cost of the book sold at a lower loss?
Choices:
B)280
C)225
D)289
E)427
Answer: B
Question: Which of the following has the most number of divisors?
Choices:
377
176
888
271
Answer: B
Question: The cash difference between the selling prices of an article at a profit of 2% and 6% is Rs 3. The ratio of two selling prices is
Choices:
51:53
53:54
54:55
None of these
Answer: A
Question: A jar contains 4 black and 3 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
Choices:
5/7
4/7
3/7
1/2
Answer: B
Question: If s and t are positive integers such that s/t = 64.14, which of the following could be the remainder when s is divided by t ?
Choices:
16
18
21
32
Answer: C
Question: A foreign language club at Washington Middle School consists of n students, 2/5 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?
Choices:
n/3
2n/25
2n/15
n/15
Answer: B
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 12 inches by 15 inches and Jordan's rectangle is 9 inches long, how wide is Jordan's rectangle, in inches?
Choices:
18
19
20
21
Answer: C
Question: A is twice as good as workman as B and together they finish a piece of work in 18 days. In how many
days will B alone finish the work.
Choices:
54 days
56 days
68 days
None of these
Answer: A
Question: A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1554?
Choices:
s.108
s.100
s.103
s.105
Answer: D
Question: Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 5 cm, and BD = 9 cm, what is CD, in centimeters?
Choices:
2
3
6
5
Answer: C
Question: The sum of ages of 5 children born at the intervals of 3 years each is 60 years. What is the age of the youngest child?
Choices:
4 years
6 years
7 years
8 years
Answer: B
Question: If 20% of a number, then 120% of that number will be?
Choices:
120
360
720
820
Answer: C
Question: Income and expenditure of a person are in the ratio 5 : 3. If the income of the person is Rs. 10000, then find his savings?
Choices:
Rs.4000
Rs.3639
Rs.3632
Rs.3602
Answer: A
Question: Sanjay invested an amount of ` 16,000 for two years on compound interest and received an amount of ` 17,640 on maturity. What is the rate of interest per annum?
Choices:
5%
8%
9%
None of these
Answer: A
Question: A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kg. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight, in kg, of the heaviest box ?
Choices:
61
64
Can't be determined
None
Answer: A
Question: X completes a work in 60 days and Y complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be?
Choices:
50 days.
25 days.
10 days.
20 days.
Answer: D
Question: Tina’s cat weighs 3.2 kilograms. Her dog weighs 4 times as much as her cat. How much does her dog weigh in kilograms?
Choices:
B)38kg
C)12.8kg
D)48kg
E)20kg
Answer: B
Question: Anintegratedteam 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 3 members, how manyintegratedteam formations are possible?
Choices:
45
76
90
112
Answer: A
Question: In a school of 850 boys, 44% of Muslims, 14% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choices:
B)627
C)153
D)721
E)272
Answer: D
Question: Which of the following values of x satisfies the inequality 2x2 – 3x + 1 > 0?
Choices:
1⁄2 < x < 1
x > 1 or x < 1⁄2
-1⁄2 < x < 1
None of these
Answer: B
Question: Sripad has scored average of 68 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
Choices:
28
38
27
88
Answer: D
Question: There are 4 more women than men on Centerville's board of education. If there are 8 members on the board, how many are women?
Choices:
4
6
7
8
Answer: B
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
77
42
88
12
Answer: B
Question: If a is a positive integer and 10^a – 74 in decimal notation has digits whose sum is 440, what is the value of a?
Choices:
44
45
46
50
Answer: D
Question: Two men start together to walk a certain distance, one at 4 kmph and another at 3 kmph.The former arrives half an hour before the latter. Find the distance.
Choices:
6 km
8 km
9 km
None of these
Answer: A
Question: Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually
Choices:
3109
3250
3500
4000
Answer: A
Question: Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 1 players can be selected from each team?
Choices:
200
121
140
150
Answer: B
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Choices:
Rs. 26.6
Rs. 16.6
Rs. 26
Rs. 25
Answer: A
Question: Which of the following is closest to 1/5+1/55+1/555
Choices:
1/4.54
1/2.5
1/3.6
1/3.7
Answer: A
Question: Find the ones digit of 73^330
Choices:
5
6
7
9
Answer: A
Question: I came across this problem in the GMATprep software and got it totally wrong!
A company consists of 6 senior and 4 junior staff officers. If a committee is created with 4 senior and 1 junior staff officers, how many possible committees are there?
Choices:
44
56
60
200
Answer: C
Question: A worker earns $20 on the first day and spends $15 on the second day. The worker earns $20 on the third day and spends $15 on the fourth day. If this pattern continues, on which day will the worker first reach a net total of $80?
Choices:
25
27
30
32
Answer: A
Question: Village X has a population of 68000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal?
Choices:
19
11
18
13
Answer: D
Question: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 20 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?
Choices:
4 hours
1 hour 30 min
5 hours
6 hours
Answer: B
Question: In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case?
Choices:
528
539
538
723
Answer: A
Question: Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 2 years?
Choices:
42 years
40 years
37 years
None of the above
Answer: A
Question: If $30,000 interest is invested in 10 percent simple annual interest for 2 years, which of the following represents the total amount of interest, in dollars, that will be earned by this investment in the 2 years?
Choices:
$6000
$5000
$3000
$2000
Answer: A
Question: Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 156 per Kg , the price of the third variety per Kg will be?
Choices:
Rs. 785.50
Rs. 178.50
Rs. 258.50
None of these
Answer: B
Question: What is the % change in the area of a rectangle when its length increases by 35% and its width decreases by 35%?
Choices:
20% increase
20% decrease
12% decrease
Insufficient data
Answer: C
Question: A jar contains 7 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed?
Choices:
3/35
1/81
1/35
1/25
Answer: A
Question: A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability R that you can still row the canoe?
Choices:
10/25
6/10
2/3
21/25
Answer: D
Question: In your bucket you have 6.35 $, and you want to travel to the next state by train and its ticket costs 1.35 $. How many times can you use this train between the two stations?
Suppose that the cost of ticket is the same in both ways!
Choices:
4
6
7
8
Answer: A
Question: a wall clock rings after every 1 hr and a wrist watch beep after every 25 min.they voice together at 12 a.m,time taken to voice again simultaneously?
Choices:
5 a.m
6 a.m
7 a.m
8 a.m
Answer: A
Question: For integers U and V, when U is divided by V, the remainder is even. Which of the following must be true?
Choices:
At least one of U and V is odd
The sum U + V is odd
U and V share no common factors other than 1
UV is odd.
Answer: A
Question: Lisa's grade was 75th percentile of the 40 grades for her class. Of the 50 grades from another class, 8 were higher than Lisa's, and the rest were lower. If no other grade was the same as Lisa's grade, then Lisa's grade was what percentile of the grades of the two classes of two classes combined?
Choices:
74th
80th
87th
92nd
Answer: B
Question: 16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
Choices:
12
11
8
7
Answer: D
Question: The sum of the squares of three numbers is 225, while the sum of their products taken two at a time is 200. Their sum is:
Choices:
30
40
25
None of these
Answer: C
Question: In a shop, the marked price of an article is worked out in such a way that it generates a profit of 33133313. What should be the discount percent allowed on the marked price during a sale, so that the final profit made is 20%?
Choices:
12 1/2
10%
8 1/2
6 2/3
Answer: B
Question: If x^2 +2x = 15, then one possible value of x – 4 =
Choices:
-5
-3
-1
5
Answer: C
Question: A sum of Rs.1460 is divided into 14 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
Choices:
5B, 8G
3B, 9G
9B, 4G
9B, 5G
Answer: B
Question: The probability of Sam passing the exam is 1/4. 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:
1/2
1/3
2/3
2/5
Answer: C
Question: The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. The average age of the family now is
Choices:
19 years
28.5 years
29.3 years
None
Answer: A
Question: If 6 men can reap 60 acres of land in 10 days, how many acres of land can 12 men reap in 20 days?
Choices:
360
240
182
1000
Answer: B
Question: The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. The time after which it is due is
Choices:
66
77
10
81
Answer: C
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Choices:
190 sec
170 sec
175 sec
185 sec
Answer: A
Question: If one positive integer is greater than another positive integer by 4, and the difference of their cubes is 208, what is their sum?
Choices:
8
12
14
16
Answer: A
Question: There are 5women and 6 men in an office. In how many ways can a person can be selected?
Choices:
11
12
15
20
Answer: A
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 72% of the required amount. What is the net difference in the expenditure on that product?
Choices:
10%
15%
17%
19%
Answer: A
Question: In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
Choices:
5/21
5/97
5/22
5/39
Answer: A
Question: A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 2/5 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
Choices:
4/5
3/4
2/3
1/2
Answer: D
Question: A football coach must choose 6 freshers from a team of 12 players. How many different ways can the coach choose the freshers?
Choices:
650
729
800
924
Answer: D
Question: Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 4 muffins remained. How many guests did Monica plan on?
Choices:
5.
4.
6.
7.
Answer: B
Question: Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1400. What is the gain or loss in percentage?
Choices:
21%
24%
20%
None of these
Answer: B
Question: A, B and C enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, A withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is B's share ?
Choices:
144
217
299
277
Answer: A
Question: Mr. keth sold two pipes at $3 each. Based on the cost, his profit one was 30% and his loss on the other was 15%. On the sale of the pipes. Find the amount of his profit or loss?
Choices:
lost 50 cents
broke even
gained 60 cents
gained 40 cents
Answer: D
Question: Including Cara and Dan, there are seven members on the board of directors for a company. If the board is to be split up into a four-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?
Choices:
1/4
1/3
1/2
2/5
Answer: C
Question: In a deck of cards there are 52 cards numbered from 1 to 13. There are 4 cards of each number in the deck. If you insert 10 more cards with the number 10 on them and you shuffle the deck really good, what is the probability to pull out a card with a number 10 on it?
Choices:
7/31.
5/29.
4/13.
1/3.
Answer: A
Question: A certain number when divided by 65 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Choices:
5
6
8
9
Answer: B
Question: Which of the following must be divisible by 2 if z is a positive integer?
Choices:
(z^2−2)
z(z+2)^3
(z−1)*z*(z+1)
z^2*(z−5)
Answer: C
Question: A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
Choices:
Rs.1640
Rs.1289
Rs.1282
Rs.1633
Answer: A
Question: Six lights begin to flash together at 12:00 noon and flash respectively at intervals of 4, 5, 6, 7, 8, and 9 seconds. Not including the flash at 12:00 noon, how many more times will all six lights flash together before 4:00 pm (i.e. four hours later)?
Choices:
5
7
9
11
Answer: A
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Choices:
277
266
280
191
Answer: C
Question: Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?
Choices:
Rs. 28,000
Rs. 14,000
Rs. 8,000
None of these
Answer: A
Question: Sahil took a loan for 6 years at the rate of 5% per annum on Simple Interest, If the total interest paid was Rs. 1230, the principal was
Choices:
4100
4300
4400
None of these
Answer: A
Question: In March, Kurt ran an average of 2 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
Choices:
2410/60^2
1790/60^2
3586/60
60^2/3590
Answer: B
Question: Rs.8000 become Rs.8820 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
Choices:
8 years
9 years
3 years
2 years
Answer: D
Question: A can do a certain job in 20 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
Choices:
8 days
12 1/2 days
9 days
None of them
Answer: B
Question: The length and breadth of a rectangle are raised in the proportion 3:4 and 4:5 correspondingly. What is the proportion of the previous place to the new?
Choices:
3:5
5:7
7:9
None of these
Answer: A
Question: A ship sails out to a mark at the rate of 18 kmph. and sails back at the rate of 14 kmph. The average rate of sailing is ?
Choices:
12 km/hr
16 km/hr
25 km/hr
None
Answer: B
Question: A businessman earns $28800 in December, thus decreasing his average annual (January to December) earnings by $1300. His average annual earnings would be
Source: CMAT Preparation
Choices:
$33500
$40200
$41000
$43100
Answer: D
Question: A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17thinnings?
Choices:
16
128
37
12
Answer: C
Question: A merchant has selected two items to be placed on sale, one of which currently sells for 25 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
Choices:
40%
30%
20%
10%
Answer: B
Question: The ages of two persons differ by 16 years. 6 years ago, the elder one was
3 times as old as the younger one. What are their present ages of the elder person?
Choices:
20
30
40
50
Answer: B
Question: How many prime numbers D exist such that 90 < D < 106 and D is a factor of 99999919?
Choices:
2. One
3. Two
4. Three
5. More than three
Answer: B
Question: A man bring 2 cats to his home to eliminate all the mice. They do a half of the work in 5 days, then the man brings 3 more cats. If they hunt at the same rate, how many days will take to hunt all the mice, since the first day?
Choices:
7 days
9 days
10 days
11 days
Answer: A
Question: next term in series 3,32,405
Choices:
6144
7144
7582
8547
Answer: A
Question: Find the invalid no.from the following series 3, 7, 15, 31, 63, 123, 255
Choices:
7
27
63
123
Answer: D
Question: A shopkeeper fixes the marked price of an item 40% above its cost price. The percentage of discount allowed to gain 8% is
Choices:
22.85%
21.85%
20.85%
None of these
Answer: A
Question: A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing?
Choices:
56000 liters
78000 liters
60000 liters
None of these
Answer: A
Question: A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour.
Choices:
3/55
41/44
3/44
None of these
Answer: B
Question: A man can row 7.5 km/hour in still water & he finds that it takes him twice aslong to row up as to row down the river. Find the rate of stream?
Choices:
2.5 km/hr
3 km/hr
4 km/hr
4.3 km/hr
Answer: A
Question: A bag contains 6 black and 3 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Choices:
1/3
1/7
1/8
4/3
Answer: A
Question: If a chair was sold for $ 990 at a loss of $ 110. Find the cost price of the chair.
Choices:
$ 1100
$ 1200
$ 1300
$ 1400
Answer: A
Question: a, b, c and d are four consecutive numbers. If the sum of a and dis 111, what is the product of b and c?
Choices:
2578
2534
3080
4234
Answer: C
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Choices:
26782
22882
15000
28761
Answer: C
Question: It costs $18 for the first 1/2 hour to rent a bike. After the first 1/2 hour it costs $10 per hour. If a certain customer uses the bike for 2 hours, how much will it cost him?
Choices:
$45
$33
$95
$30
Answer: B
Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35,x
Choices:
26
38
35
45
Answer: B
Question: In an examination a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Choices:
11
8
9
12
Answer: A
Question: A basketball player succeeds with 40% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?
Choices:
0.472
0.555
0.657
0.784
Answer: D
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Choices:
6
8
4
1
Answer: B
Question: On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Y of races we need to conduct to get the top 3 fastest horses?
Choices:
7
8
10
11
Answer: A
Question: A, B, C subscribe Rs. 50000/- for a business. A subscribes Rs. 4000/- more than B and B Rs. 5000/- more than C. out of a total profit of Rs. 35,000/- A receives:
Choices:
Rs. 11900/-
Rs. 13600/-
Rs. 14700/-
None of these
Answer: C
Question: Which of the following values is the greatest
Choices:
b) 22% of 78
c) 33% of 67
d) 65% of 45
e) 44% of 56
Answer: C
Question: The average age of 22 students in a group is 12 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
Choices:
36
35
53
57
Answer: B
Question: Raju age after 4 years will be 10 times his age 5 years back, What is the present age of Raju
Choices:
10 years
7 years
6 years
8 years
Answer: C
Question: If n divided by 8 has a remainder of 1, what is the remainder when 3 times n is divided by 8?
Choices:
3
7
5
6
Answer: A
Question: Set J consists of 18 consecutive even numbers. If the smallest term in the set is -22, what is the range of the positive integers in set J?
Choices:
4
6
8
10
Answer: D
Question: Certain number of worms are placed in a container. The number of worms increases by three times every day and the container is completely filled with worms in 12 days. On what day, the worms were
1/3rd of the container ?
Choices:
3 days
4 days
11 days
14 days
Answer: C
Question: Which of the following is always true?
(I) The average (arithmetic mean) of five negative consecutive integers is equal to the average of the largest and smallest of them.
(II) The average (arithmetic mean) of four positive consecutive integers is equal to the average of the largest and smallest of them.
(III) The average (arithmetic mean) of five consecutive integers is equal to the average of the largest and smallest of them.
Choices:
I, II and III
II
I and II
None
Answer: A
Question: A can do a work in 20 days and B can do it in 8 days. In how many days A and B can do the work?
Choices:
5 5/7 days
6 days
8 days
7 days
Answer: A
Question: A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?
Choices:
40
50
60
70
Answer: B
Question: Two dice are tossed once. The probability of getting an even number at the first die or a total of 8 is
Choices:
3/36
11/36
20/36
23/36
Answer: C
Question: In a certain pond, 60 fish were caught, tagged, and returned to the pond. A few days later, 60 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what`s the approximate number of fish in the pond?
Choices:
625
1818
2500
10 000
Answer: B
Question: The distance between 2 cities A and B is 1000km. A train starts from A at 10 a.m. and travels towards B at 100 km/hr. Another starts from B at 11 a.m. and travels towards A at 150 km/hr. At what time do they meet?
Choices:
12p.m.
3pm.
2p.m.
1p.m.
Answer: B
Question: Find the sum of first 70 odd numbers
Choices:
4900
4990
4980
4960
Answer: A
Question: (39,897)(0.0096)/198.76 is approximately
Choices:
0.2
2
20
200
Answer: B
Question: Tough and Tricky questions: Exponents.
If a and b are positive integers and x = 8^a and y = 7^b, which of the following is a possible units digit of xy?
Choices:
4, 1, 2
5, 8
2, 4, 6 and 8
8, 6
Answer: C
Question: In a consumer survey, 82% of those surveyed liked at least one of three products: 1, 2, and 3. 45% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 4% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Choices:
9
13
15
17
Answer: A
Question: How many words can be formed by using all the letters of the word, 'ALLAHABAD' ?
Choices:
1890
7560
2520
5420
Answer: B
Question: What will come in place of the x in the following Number series? 12, 38, 116, 350, 1052, x
Choices:
2753
2864
2975
3158
Answer: D
Question: Kavi had a stock of 600 bags in his bookshop. He sold 25 on Monday, 70 on Tuesday, 100 on Wednesday, 110 on Thursday and 145 on Friday. What percentage of the bags were not sold?
Choices:
25%
64%
42%
17%
Answer: A
Question: Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?
Choices:
98
28
80
19
Answer: C
Question: The number of arrangements that can be made with the letters of the word PETER so that the vowels occupy the even places?
Choices:
18
12
15
11
Answer: A
Question: What is the sum of the different positive prime factors of 720?
Choices:
10
15
17
21
Answer: A
Question: If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B?
Choices:
30
31
32
33
Answer: D
Question: College T has 1000 students. Of the 250 students majoring in one or more of the sciences,140 are majoring in Chemistry and 170 are majoring in Biology. If at least 50 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?
Choices:
110 to 140
110 to 130
120
130
Answer: A
Question: A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 5 hours. Working alone, the outlet pipe can empty out the tank in 10 hours. If it is desired that the tank should be filled, from empty, exactly 8 hours after the inlet pipe is turned on at 9:30am, then at what time should the outlet pipe be opened ?
Choices:
11:30am
9:30am
8:30am
7:30am
Answer: A
Question: If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
Choices:
4/5 km
8/2 km
1/3 km
9/6 km
Answer: A
Question: Question: What is the remainder when R=(1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144?
Choices:
25
49
81
100
Answer: C
Question: Alex deposited x dollars into a new account that earned 9 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
Choices:
w/(1.08+1.16)
w/(1.16+1.24)
w/(1.09+1.09^2)
w/(1.08^2+1.08^2)
Answer: C
Question: The diagonals of the two squares are in the ratio of 2:5 find the ratio of their area .
Choices:
7:96
4:25
5:84
8:96
Answer: B
Question: A worker's daily wage is increased by 50% and the new wage is $30 per day. What was the worker's daily wage before the increase?
Choices:
$18
$20
$22
$25
Answer: B
Question: If six persons sit in a row, then the probability that three particular persons are always together is ?
Choices:
1/9
1/5
1/7
1/1
Answer: B
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 2% per first year and 3% for the second year?
Choices:
2678
5460
1976
5253
Answer: D
Question: A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 84 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
Choices:
32%
48%
84%
92%
Answer: D
Question: A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 355 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Choices:
115
120
130
220
Answer: A
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Choices:
1900
2887
2898
27912
Answer: A