Mathematical Reasoning
hard

Negation of the statement : - $\sqrt{5}$ is an integer or $5$ is irrational is

A

$\sqrt{5}$ is an integer or $5$ is irrational is

B

$\sqrt{5}$ is not an integer and $5$ is not irrational

C

$\sqrt{5}$ is an integer and $5$ is irrational

D

$\sqrt{5}$ is not an integer or $5$ is not irrational

(JEE MAIN-2020)

Solution

$\mathrm{p}=\sqrt{5}$ is an integer.

$\mathrm{q}: 5$ is irrational

$\sim(p \vee q) \equiv \sim p \wedge \sim q$

$\sqrt{5}$ is not an integer and $5$ is not irrational

Standard 11
Mathematics

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