AIEEE 2008 | Mathematical Reasoning Question 121 | Mathematics

Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number iff y is a transcendental number”.

Statement –1: r is equivalent to either q or p.

Statement –2: r is equivalent to $$ \sim \left( {p \leftrightarrow \sim q} \right)$$

Statement − 1 is false, Statement − 2 is false

Statement −1 is false, Statement −2 is true

Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1

AIEEE 2008

MCQ (Single Correct Answer)

-1

Out of Syllabus

The statement $$p \to \left( {q \to p} \right)$$ is equivalent to

$$p \to \left( {p \leftrightarrow q} \right)$$

$$p \to \left( {p \to q} \right)$$

$$p \to \left( {p \vee q} \right)$$