The contrapositive of the converse of the statement "If $x$ is a prime number,then $x$ is odd" is
- AIf $x$ is not a prime number,then $x$ is odd.
- BIf $x$ is not an odd number,then $x$ is not a prime number.
- CIf $x$ is a prime number,then it is not odd.
- DIf $x$ is not a prime number,then $x$ is not odd.
Explore More
Similar Questions
Consider the following statements.
$p$: If $3^4 > 4^3$, then $3^3 > 4^4$
$q$: The roots of the equation $x^2 - 2x + 2 = 0$ are real if and only if Mumbai is in Maharashtra.
$r$: Statement $p$ is true or statement $q$ is false.
Which of the following has truth value $T$ (true)?
$p$: If $3^4 > 4^3$, then $3^3 > 4^4$
$q$: The roots of the equation $x^2 - 2x + 2 = 0$ are real if and only if Mumbai is in Maharashtra.
$r$: Statement $p$ is true or statement $q$ is false.
Which of the following has truth value $T$ (true)?
DifficultMHT CET 2026
View SolutionLet $*, \square \in \{\wedge, \vee\}$ be such that the Boolean expression $(p * \sim q) \Rightarrow (p \square q)$ is a tautology. Then :
The statement pattern $(p \wedge q) \vee (\sim p \wedge q) \vee (r \wedge \sim q)$ is logically equivalent to:
What is the identity element for the conjunction $(AND)$ operation in Boolean algebra of logical statements?
Medium
View SolutionWhich of the following logical statements is a tautology?
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo