MBA Exam

If (1 + x + x^5)^15 = a0 + a1x + a2x^2 + a3x^3 +. . .+a74x^74 + a75x^75,then for how many values of i (0 <= i <= 75) is ai != 0?
-approach also plz

1) 76
2) 69
3) 72
4) 70

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MBA Other Question
How many pairs (m, n) of natural numbers, m and n, are there such that mn = 3m + 8n?

1) 3
2) 4
3) 6
4) 8
 What is the remainder when n^7 – n is divided by 42?

1) 0
2) 35
3) 45
4) 49