Verified Solution • 2025–26 Session moderate

QJEEM20Mabfe6: JEE Main 2020 Mathematics - Class 11 JEEM20Mabfe6 Solution: Negation of the statement : is an integer or 5 is an irrational …

Negation of the statement :

5\sqrt 5 is an integer or 5 is an irrational is :

Multiple Choice Options

  • A 5\sqrt 5 is not an integer and 5 is not irrational.
  • B 5\sqrt 5 is irrational or 5 is an integer.
  • C 5\sqrt 5 is an integer and 5 is irrational.
  • D 5\sqrt 5 is not an integer or 5 is not irrational.

Step-by-Step Verified Solution

p = 5\sqrt 5 is an integer.

q : 5 is irrational

∼\sim (p∨q)\left( {p \vee q} \right) ≡\equiv ∼\sim p ∧\wedge ∼\sim q

= 5\sqrt 5 is not an integer and 5 is not irrational.

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