MBA Exam

A natural number N, less than 3000, has the following properties:I. The number N when successively divided by 5, 4 and 3 gives remainder 3, 1 and 2 respectively.II. The number when divided by 72 gives remainder 12.Find how many such natural numbers exist.

1) 6
2) 7
3) 8
4) 9

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MBA Other Question

Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a2 – b2 is divisible by 3 is:

1) 9/87
2) 15/87
3) 47/87
4) 34/87
When 58123 and 59059 are divided by a three-digit number N, the same remainder is obtained. How many values can N take?

1) 2
2) 3
3) 6
4) 7