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Q.

Let p, q, r be three statements.Statement-1: p↔q≡(p→q)∧(~q∨p) is a tautology.Statement-2: p∨q→r≡(p→r)∧(q→r) is a tautology.

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a

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

b

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

c

STATEMENT-1 is True, STATEMENT-2 is False

d

STATEMENT-1 is False, STATEMENT-2 is True

answer is B.

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Detailed Solution

p↔q≡(p→q)∧(q→p)           ≡(p→q)∧(~q∨p)and p∨q→r≡∼(p∨q)∨r≡(~p∧~q)∨r≡(~p∨r)∧(~q∨r)≡(p→r)∧(q→r)
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