Sample CAT Quantitative Questions

Direction for next 3 CAT Quantitative Questions: Answer the quantitative questions on the basis of the text given below.

There are 3 bottles and a jug. The bottles each have a capacity of 5 liters but are partially filled with water. The jug also has some water in it. The sum of the water in the jug and water in the first bottle is half of the total jug capacity. When the first bottle and third bottle are emptied into the jug, it contains 6 liters of water. When the second and the third bottle are emptied into the jug, it contains 7 liters of water. When all the bottles are poured into the jug, it’s filled to it’s capacity. The first and second bottles contain a total of 7 liters.

1. what percentage of total capacity of the bottles is filled with water?
a) 20% – 40%
b) 40% – 60%
c) 60% – 80%
d)30% – 50%
e) Can’t be determined.

2. What is the capacity of the jug? (In liters)
a) 7
b) 8
c) 9
d) 10
e) 11

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Sample Quantitative Questions for CAT

CAT Sample Quantitative Questions-Direction for next quantitative questions: Answer the following quantitative questions on the basis of data given below.

In a company X, 5 employees drink tea, Coffee and milk. 4 employees drink only tea and milk, 1 employee drinks only tea and coffee. No employee takes only milk and coffee , 8 employees take only tea , 13 employees take only milk, 9 employees take only coffee.

In a company Y, 7 employees drink tea, Coffee and milk. 4 employees drink only milk and tea, 11 employees take only tea and coffee and 3 only milk and coffee. 5 employees drink only tea. 1 employee drinks only coffee and 12 employees drink only milk. There are 10 common employees in company X and Y who drink only milk.

1. What is the total no of employees in X and Y together?
a) 33
b) 73
c) 63
d) 43
e) 53

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Quantitative Questions

Sample Quantitative Questions: Direction for next 2 Quantitative questions: Answer the following quantitative questions on the basis of data given below. x , y , z are positive integers such that x + y + z = 100,

1. Find the probability that x > 20, y > 10 , z > 20 .
a) 23/99
b) 1/7
c) 7/33
d) 1/8
e) 8/33

2. Find the number of possible solutions for the equation in the previous question, If 25 < x < 51, y > 10 and z > 15.
a) 900
b) 1176

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Quantitative Questions

Quantitative Questions: Directions for questions 2 Quantitative Questions: These quantitative questions are based on the data given below.

Three components P, Q and R were imported from USA, UK and Sweden respectively by a country. The components were than assembled to from a product. Components P, Q and R accounted for 30%, 10% and 50% of the total costs. The remaining 10% of the costs constitute the domestic inputs. The product is sold at 25% above the total cost.

1. The UK pound and Swedish Krona become 20% costlier but the company continues to sells its product at the original selling price. Find the percentage of profit made by the company.
a. 3 5/6%
b. 4 1/6%
c. 5 1/6%
d. None of these

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Sample CAT Quantitative Questions

Sample CAT Quantitative Questions- Directions for next 3 CAT Quantitative Questions: Answer these cat quantitative questions based on the information given below.
S = {a, b, c, d, e}. A binary operation * is defined by the following table, which had been partially filled up.

For all x, y belonging to S, x * y = y * x. The operation * is so defined that every x belonging to S occurs exactly once in each row and each column of the table.

1. If a * b = e and a * a = d, what is the value of c * d?
a. a
b. b
c. c
d. e

2. If a * a = b and b * b = c, what is the value of c * d?
a. a
b. b
c. c
d. e

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CAT Quantitative Questions

CAT Quantitative Questions: Directions for next 3 CAT Quantitative Questions: Refer to the data below and answer the cat quantitative questions that follow.
The registration number of my car is ABCD and that of my scooter is DCBA. Incidentally, both ABCD and DCBA are four digit prime numbers. Also, A, B, C, D are prime but each alphabet need not be the different i.e. A may be equal to C and so on. Answer the following questions on the basis of the given information.

1. Which is the smallest Prime number in the order ABCD which satisfies the given condition?
a. 3377
b. 7752
c. 3257
d. 3335

2. Which is the largest number possible in the order DCBA?
a. 7733
b. 3335
c. 7757
d. 5223

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Sample Quantitative Questions For CAT

Quantitative Questions For CAT: Directions for next 3 Quantitative Questions: Answer the quantitative questions on the basis of the information given below.

P, Q and R run on the tracks made in the shape of a star, pentagon and circle, respectively. The radius of the circle is ‘r’ and side of the pentagon = 2a and OX = 2OL = 2b. O is the centre of the figure.

1. Find distance traveled by ‘P’.
a. 5(r² + 3a²)½
b. 10(r² + 3a²/2)½
c. 10(r² + 2a²)½
d. 10(r² + 3a²/4)2

2. If a + b = r 10 km and P travels at a speed of 10 km/hr. Find time taken by P to complete one round.
a. 6.52 hours.
b. 8.5 hours
c. 8 hours
d. 7.21 hours

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Sample Quantitative Questions for CAT

Sample Quantitative Questions for CAT- Directions for next 3  quantitative questions for CAT: Answer the CAT quantitative questions based on the following information.

A glider (speed 20 m/s) is moving in opposite direction to a bike and a car. The car (speed 10 m/s) and the bike (speed 5 m/s) are moving in the same direction and the car is behind the bike. The angle of elevation of the glider from the car is 30⁰ and the angle of elevation of glider from the bike is 45⁰. The distance between the car and the bike is 10 m. After one second, the angle of elevation of the glider from the car becomes 45⁰ and from the bike becomes 30⁰.

1. What is the height at which the glider is flying (in meters)?

a. 5(√3 – 1)

b. 5√3 – 1

c. 5(3 + 1)

d. None of these

2. What is the distance (in meters) between the car and the bike after one second?

a. 5

b. 10

c. 15

d. None of these

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Quantitative Questions For CAT

Quantitative Questions

Direction for next 2 quantitative questions: Answer the quantitative questions on the basis of the text given below.

In a cricket game, 3 batsmen A, B and C performed well. The runs are scored in 6’s, 4’s and 1’s only. The numbers of B’s sixes are greater by 50% than that of C and less by 25% than that of A. The number of B’s fours are greater by 50% than that of A and less by 25% than that of C. Maximum numbers of one’s is scored by C which is 50% greater than that of A, and B’s is 25% greater than that of A . The number of balls and number of runs scored are same. Also 276 runs are scored in the game. Runs scored from 6’s are 75% of the runs scored from 4’s. A score 40 ones.

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