JEE Main · MathematicsEasy

$The truth value of the statement 'If 2 is an even number, then 3 is a prime number' is:$

A. $True$
B. $False$
C. $Neither true nor false$
D. $Cannot be determined$

Show correct answer & step-by-step solution

Correct answer: A — $True$

Solution

An implication ' p ⟹ q' is false only when p is true and q is false. Since both '2 is even' and '3 is prime' are true, the entire implication is true.

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The truth value of the statement 'If 2 is an even number, then 3 is a prime numb… — JEE Main Mathematics Question with Solution |