The negation of the statement "The number is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let $p$: The number is an odd number. Let $q$: The number is divisible by $3$. The given statement is $p \leftrightarrow q$. The negation of a bic

Vedclass · Accepted Answer

The number is an odd number but not divisible by $3$ or the number is divisible by $3$ but not odd.

Vedclass · Answer

(A) Let $p$: The number is an odd number. Let $q$: The number is divisible by $3$. The given statement is $p \leftrightarrow q$. The negation of a biconditional statement is $\sim(p \leftrightarrow q) \equiv (p \wedge \sim q) \vee (q \wedge \sim p)$. Thus,the negation is: "The number is an odd number but not divisible by $3$ $OR$ the number is divisible by $3$ but not an odd number."

The negation of the statement "The number is an odd number if and only if it is divisible by $3$."

Similar Questions

If $\sim p \lor q$ is false, then which of the following is correct?

$\sim (p \Leftrightarrow q)$ is

The negation of the statement "If India wins the match,then India will reach the final" is:

Which one of the following is the pair of equivalent circuits?
$i. (p \land q) \lor (p \land r)$
$ii. p \lor (q \land r)$
$iii. p \land (q \lor r)$
$iv. p \land q \land r$
$v. (p \land q) \lor r$

The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module