MBA Exam

What is the remainder when n^7 – n is divided by 42?

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

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MBA Other Question

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
If (a1, a2, a3, a4, a5) is a permutation of (2, 5, −4, −9, 6), then the equation, a1x4 + a2x3 + a3x2 + a4x + a5 = 0 has

1) no real root
2) atleast 2 real roots
3) four real roots
4) none of these