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GATE | GATE-CS-2015 (Set 3) | Question 65

Let # be a binary operator defined as X # Y = X′ + Y′ where X and Y are Boolean variables. Consider the following two statements.
S1: (P # Q) # R = P # (Q # R)
S2: Q # R = R # Q 
Which of the following is/are true for the Boolean variables P, Q and R?

(A)

Only S1 is True

(B)

Only S2 is True

(C)

Both S1 and S2 are True

(D)

Neither S1 nor S2 are True

Answer

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