Gate Exam

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

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Gate Other Question

A random bit string of length n is constructed by tossing a fair coin n times and setting a
bit to 0 or 1 depending on outcomes head and tail, respectively. The probability that two such
randomly generated strings are not identical is:
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