Question

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, if y is a transcendental number".

Statement I r is equivalent to either q or p.

Statement II r is equivalent to ~(p ↔ ~ q).

(a) Statement I is false, Statement II is true

(b) Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I

(c) Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I

(d) Statement I is true, Statement II is false

Answer 1

of these

Explanation:

It is clear from the table that r is not equivalent to either of the statements, Hence, none of the given options is correct.