MBA Exam

K(N) denotes no. of ways in which N can be expressed as a difference of two perfect squares. Which of the following is maximum?Please explain thoroughly..

1) k(110)
2) k(105)
3) k(216)
4) k(384)

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MBA Other Question

What is the rightmost non-zero digit of 37! ?

Three consecutive positive integers are raised to the first, second and third powers respectively and added. The sum so obtained is a perfect square whose square root is the sum of the three numbers. Which of the following best describes the minimum value, say m, of these three integers?

1) 1<=m<=3
2) 4<=m<=6
3) 7<=m<=9
4) 10<=m<=12