If q is false and p r r is true, then ..... is a tautology

MHT CET 2023 Mathematics question

Not in JEE syllabus

If q is false and is true, then ..... is a tautology

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Read the options with the usual precedence: (b) is , of the form , which is true for every truth value of , so it is a tautology whatever the given condition is. Now check the others. Since is false, the standard condition forces to be false

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Question ID VK-097942