Mathematical Reasoning: Negation of the statement : ` sqrt5 is an integer or 5 is… | JEE Main 2020

JEE Main 2020 (Online) 9th January Morning ShiftQuestion 1

Negation of the statement : `$\sqrt5$ is an integer or $5$ is irrational' is :

Mathematical Reasoning

$\sqrt5$ is irrational or $5$ is an integer.$\sqrt5$ is not an integer or $5$ is not irrational.$\sqrt5$ is not an integer and $5$ is not irrational.✓ Correct answer$\sqrt5$ is an integer and $5$ is irrational.

Solution

$\sim(a\vee b)=\sim a\wedge\sim b$: $\sqrt5$ is not an integer and $5$ is not irrational.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2020 (Online) 9th January Morning Shift)

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