Gate Exam

Let P, Q and R be tree atomic prepositional assertions. Let X denote (P v Q) - R and Y
denote (P - R) v (Q - R). which one of the following is a tautology?
(a) XY
(b) X-Y
(c) Y-X
(d) 1-YX

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Gate Other Question

The hexadecimal representation of 6578 is:
(a) 1AF
(b) D78
(c) D71
(d) 32F What is the minimum number of ordered pairs of non-negative numbers that should be
chosen to ensure that there are two pairs (a,b) and (c,d) in the chosen set such that ac mod
3andbd mod 5
(a) 4
(b) 6
(c) 16
(d) 24