As you requires I am here giving you old question paper of CAT examination.

CAT Sample Paper:

1. If a man cycles at 10 km/h, then he arrives at the certain place at 1 pm. If he cycles 15 km/h, he will arrive at the same place at 11 am. At what speed must he cycle to get there at noon?

1) 11 km/h

2) 12 km/h

3) 13 km/h

4) 14 km/h

Answer: 12 km/h

2. The total number of integer pairs (x,y) satisfying the equation x+y=xy is ____.

1) 0

2) 1

3) 2

4) None of the above

Answer: 2

3. The reminder, when (15^23 + 23^23) is divided by 19, is:

1) 4

2) 15

3) 0

4) 18

Answer: 0

4. If the sum of the first 11 terms of an arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?

1) 0

2) -1

3) 1

4) Not Unique

Answer: 0

5. Rajeev failed in the examination because none of her answers were _______ to the questions asked.

1) Allusive

2) Revealing

3) Pertinent

4) Referential

Answer: pertinent

6. The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take?

1) 59

2) 19

3) 21

4) 42

Answer: 19

7. A contractor agreed to finish a piece of work in 150 days. He employed 75 men and made them work for 8 hours per day. However, after 90 days, he realized that only 2/7th of the work was completed. How many more men would he need to employ to complete the work on time if he intended to make everybody work for 10 hours per day henceforth?

1) 75

2) 100

3) 150

4) 225

Answer: 150

8. What is the highest possible value of ‘n’ for which 31024 – 1 is divisible by 2n?

1) 13

2) 10

3) 11

4) 12

Answer: 12

9. A quadrilateral is formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3. What is the equation of the diagonal of the quadrilateral that passes through the origin?

1) 3x + 2y = 0

2) 2x − 3y = 0

3) 3x − 2y = 0

4) 2x + 3y = 0

Answer: 3x − 2y = 0

10. A function f(x) is defined as (x + 1) × f(x + 1) + x × f(x) + (x – 1) × f(x – 1) = 0 for x 2 ≥. If f (1) = 40 and f (6) = 180, find the value of f (14).

1) –80

2) –160

3) –1120

4) Cannot be determined

Answer: -80

11. Section 304 A of the Indian Penal Code is related to which among the following?

1) Murder

2) Culpable Homicide

3) Death under Negligence

4) None of them

Answer: Death under Negligence

12. In which of the following states, the Sharavati Project is located?

1) Andhra Pradesh

2) Karnataka

3) Tamil Nadu

4) Madhya Pradesh

Answer: Karnataka

13. In which of the following states, the Balimela Project is located?

1) West Bengal

2) Bihar

3) Madhya Pradesh

4) Odisha

Answer: Odisha

14. What does the Olympic Flame symbolize?

1) Zeal to play sports

2) Challenge

3) Continuity

4) Integrity

Answer: Continuity

15. For which among the following kinds of offenses, COFEPOSA was enacted in 1970s?

1) Terrorism Activities

2) Religious Offenses

3) Economic Offenses

4) International Offenses

Answer: Economic Offenses

16. A school having 270 students provides facilities for playing four games – Cricket, Football, Tennis and Badminton. There are a few students in the school who do not play any of the four games. It is known that for every student in the school who plays at least N games, there are two students who play at least (N – 1) games, for N = 2, 3 and 4. If the number of students who play all the four games is equal to the number of students who play none, then how many students in the school play exactly two of the four games?

1) 30

2) 60

3) 90

4) 120

Answer: 60

17. The total valley area covered by Damodar Valley Corporation is approximately 24,235 sq. km. In which among the following states this area is spread?

1) Jharkhand only

2) Jharkhand & West Bengal

c) Jharkhand & Bihar

8) Jharkhand, Odisha, West Bengal

Answer: Jharkhand & West Bengal

18. Raman ranks sixteenth from the top and forty ninth from the bottom in a class. How many students are there in the class?

1) 64

2) 65

3) 66

4) Cannot be determined

Answer: 64

19. Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?

1) 41

2) 40

3) 28

4) 27

Answer: 28

20. Manoj and Sachin are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class?

1) 20th and 24th

2) 24th and 20th

3) 26th and 22nd

4) 25th and 21st

Answer: 25th and 21st