# CAT 1990

Instructions

For the following questions answer them individually

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

# Is $$[(x^{-1} - y^{-1} )/(x^{-2} -y^{-2}]>1$$? I. x + y > 0 II. x and y are positive integers and each is greater than 2.

Instructions

In a game played by two people there were initially N match sticks kept on the table. A move in the game consists of a player removing either one or two matchsticks from the table. The one who takes the last matchstick loses. Players make moves alternately. The player who will make the first move is A. The other player is B.

Question 9

Question 10

• 1
• 2
• ...
• 18

OR