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Question

Mathematics Question on Logic gates

If p, q and r are three propositions, then which of the following combination of truth values of p, q and r makes the logical expression (pq)((p)r)🡢((q)r){(p∨q)∧((∼p)∨r)}🡢((∼q)∨r) false?

A

p = F, q = T, r = F

B

p = T, q = F, r = T

C

p = T, q = T, r = F

D

p = T, q = F, r = F

Answer

p = F, q = T, r = F

Explanation

Solution

The correct answer is p = F, q = T, r = F