Gate Exam

Let X,Y,Z be sets of sizes x, y and z respectively. Let W = XxY and E be the set of all subsets of W. The number of functions from Z to E is:
(A) Z^2XY
(B) Zx^2
(C) Z^2XY
(D) 2XYZ

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Gate Other Question

Consider the polynomial p(x) = a0 +a1x+a2x2 +a3x2, where a1 (- 0,Vi. The minimum
number of multiplications needed to evaluate pon an input x is:
(A) 3
(B) 4
(C) 6
(D) 9
The set {1,2,3,5,7,8,91 under multiplication modulo 10 is not a group. Given
below are four plausible reasons. Which one of them is false?
(A) It is not closed
(B) 2 does not have an inverse
(C) 3 does not have an inverse
(D) 8 does not have an inverse