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Logical & Aptitude Interview Questions

January 4th, 2010 Posted in Logical Reasoning
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Logical & Aptitude Interview Questions- Directions for next 2 Logical Questions: Answer these logical questions on the basis of the information given below.

Harish and Sachin are playing a game of matchsticks. There are N matchsticks on the table to start with. Each player, in his turn, picks up at least one matchstick and at most eight matchsticks. The two players take turn alternately. The player who clears the table loses. Assume that each player plays intelligently with an objective of winning. The first move is Haris’s. No player is allowed to pass his turn without picking up any matchsticks.

1. If, for some N, it is known that the number of matchsticks up by Harish in his first four moves were 6, 4, 3 and 6 respectively, then how many matchsticks would Sachin have picked up in his third move? Assume that Harish wins the game?
a. 3
b. 5
c. 6
d. insufficient data.

2. If it is known that the game was completed in 8 moves (by each of the two players), what is the maximum possible value for N?
a. 63
b. 71
c. 72
d. 81

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