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Question

Mathematics Question on mathematical reasoning

Let p be the statement "x is an irrational number", q be the statement "y is a transcendental number", and r be the statement " x is a rational number iff y is a transcendental number". r is equivalent to either q or p r is equivalent to (pq)\sim (p \leftrightarrow \sim q).

A

Statement -1 is false, Statement-2 is true

B

Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1

C

Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1

D

Statement -1 is true, Statement-2 is false

Answer

Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1

Explanation

Solution

Answer (c) Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1