MBA Exam

How many natural numbers less than 1000 can be expressed as the difference of squares of whole numbers in at least one way?Plz explain

1) 500
2) 749
3) 100
4) 400

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MBA Other Question

The present age of the eldest brother is 5 times the sum of the ages of his 5 younger brothers. Twelve years hence, the sum of the ages of the younger brothers will be twice the age of the eldest brother. Find the present age of the eldest brother.

1) 20
2) 50
3) 75
4) None of these
If n is any odd number greater than 1, then n(n^2 – 1) is always divisible by(A) 6 (B)24 (C) 48 (D) None of these [CAT 1996]explain why

1) 6
2) 24
3) 48
4) not