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1st July 2016, 08:44 AM
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Re: CAT Exam Previous Papers With Solutions

CAT is a Common Aptitude test that is taken for Admission into the Management Courses of the top leading Management Institutes of India

The question paper of the CAT Exam with Solution is given below


1. The integers 1, 2, ā€¦, 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased anda new number a + b ā€“ 1 is written. What will be the number left on the board at the end?
(1) 820 (2) 821 (3) 781 (4) 819 (5) 780


In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?

(1) 17.05 (2) 27.85 (3) 22.45 (4) 32.25 (5) 26.25

14. Consider obtuse-angled triangles with sides 8 cm, 15 cm and x cm. If x is an integer, then how many such triangles exist?
(1) 5 (2) 21 (3) 10 (4) 15 (5) 14


Directions for Questions:
Five horses, Red, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get four times the bet amount and those betting on the horse that came in second get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 and Rs. 1000 on
Red, White and Black horses respectively and ends up with no profit and no loss.

Which of the following cannot be true?
(1) At least two horses finished before Spotted
(2) Red finished last
(3) There were three horses between Black and Spotted
(4) There were three horses between White and Red
(5) Grey came in second

Suppose, in addition, it is known that Grey came in fourth. Then which of the following cannot be true?
(1) Spotted came in first
(2) Red finished last
(3) White came in second
(4) Black came in second
(5) There was one horse between Black and White

Directions for Questions 19 and 20:
Mark (1) if Q can be answered from A alone but not from B alone.
Mark (2) if Q can be answered from B alone but not from A alone.
Mark (3) if Q can be answered from A alone as well as from B alone.
Mark (4) if Q can be answered from A and B together but not from any of them alone.
Mark (5) if Q cannot be answered even from A and B together.

In a single elimination tournament, any player is eliminated with a single loss. The tournament is played inmultiple rounds subject to the following rules :

(a) If the number of players, say n, in any round is even, then the players are grouped into n/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round.

(b) If the number of players, say n, in any round is odd, then one of them is given a bye, that is he automatically moves on to the next round. The remaining (nā€“1) players are grouped into (nā€“1)/2 pairs.The players in each pair play a match against each other and the winner moves on to the next round.No player gets more than one bye in the entire tournament.

Thus, if n is even, then n/2 players move on to the next round while if n is odd, then (n+1)/2 players move on to the next round. The process is continued till the final round, which obviously is played between two players. The winner in the final round is the champion of the tournament.

. What is the number of Matches played by the champion?
A. The entry list for the tournament consists of 83 players.
B. The champion received one bye.


If the number of players, say n, in the first round was between 65 and 128, then what is the exact value of n?

A. Exactly one player received a bye in the entire tournament.
B. One player received a bye while moving on to the fourth round from the third round.

Rest of the question with solutions you may get from the bleow Attachement that is Free to Download
Attached Files
File Type: pdf CAT Exam question paper.pdf (2.70 MB, 43 views)


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