The contrapositive statement of 'If $x^2=25$, then ( $x=5$ or $\left.x=-5\right)$ ' is ...... .

If $x \neq 5$ and $x \neq-5$, then $x^2 \neq 25$

If $x^2 \neq 25$, then $x \neq 5$ and $x \neq-5$

If $x \neq 5$ or $x \neq-5$, then $x^2=25$

If $x \neq 5$ and $x \neq-5$, then $x^2=25$

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

1 Easy

1 of 1

Understanding +4 | -1

The contrapositive statement of 'If

x^2=25

, then (

x=5

\left.x=-5\right)

' is ...... .

View answer and explanation

Correct option: C

x \neq 5

and

x \neq-5

, then

x^2 \neq 25

Option D is correct because it correctly identifies both the contrapositive and converse statements of the given conditional statement.

Practice All Chapter MCQs →

p:A

q:A

\sqrt{3}

p

q

p \rightarrow q

{F_1}(A,\,B,\,C) = \left( {A \wedge \sim B} \right) \vee \left[ { \sim C \wedge \left( {A \vee B} \right)} \right] \vee \sim A

{F_2}(A,\,B) = \left( {A \vee B} \right) \vee (B \to \, \sim \,A)

p

n

q:

n

p \Leftrightarrow q