Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main20209 Jan 2020Morning ShiftMathematicsMathematical ReasoningActual

Negation of the statement: 5 is an integer or 5 is irrational is:

Options

  1. A5 is not an integer 5 is not irrational
  2. B5 is not an integer and 5 is not irrational
  3. C5 is irrational or 5 is an integer
  4. D5 is an integer and 5 irrational

Correct answer

B. 5 is not an integer and 5 is not irrational

Step-by-step solution

Using ~ p ∨ q = ~ p ∧ ~ q , we get negation of given statement as 5 is not an integer and 5 is not irrational Number.

Practice Mathematical Reasoning on Quantrex Academy →

More from Mathematical Reasoning

Negation of p ∧ q ∧ ~ p ∧ q is 2023The statement ( p ∧ ( ~ q ) ) ∨ ( ( ~ p ) ∧ q ) ∨ ( ( ~ p ) ∧ ( ~ q ) ) is equivalent to _ _ _ _ _ 2023The negation of the statement ( ( A ∧ ( B ∨ C ) ) ⇒ ( A ∨ B ) ) ⇒ A is 2023Among the two statements S 1 : p ⇒ q ∧ p ∧ ~ q is a contradiction and S 2 : p ∧ q ∨ ~ p ∧ q ∨ p ∧ ~ q ∨ ~ p ∧ ~ q is a t 2023The converse of ~ p ∧ q ⇒ r is 2023The number of ordered triplets of the truth values of p , q and r such that the truth value of the statement p ∨ q ∧ p ∨ r ⇒ q ∨ r is True, is equal t 2023The statement ~ p ∨ ~ p ∧ q is equivalent to 2023The negation of the statement p ∨ q ∧ q ∨ ~ r is 2023 Full Mathematical Reasoning list All JEE Main PYQs