Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Equivalent statement of the statement “If 9 > 10 then 3 2 = 5 ” will be

Options

AIf 3 2 = 5 then 9 > 10
B9 < 10 and 3 2 ≠ 5
C9 < 10 or 3 2 = 5
DNone of these

Correct answer

D. None of these

Step-by-step solution

We know that, p → q ≡ ~ p ∨ q ∴ equivalent statement will be 9 ≯ 10 or 3 2 = 5 or 9 ≤ 10 or 3 2 = 5

Practice Mathematical Reasoning on Quantrex Academy →

More from Mathematical Reasoning

Negation of p ∧ q ∧ ~ p ∧ q is 2023 The statement ( p ∧ ( ~ q ) ) ∨ ( ( ~ p ) ∧ q ) ∨ ( ( ~ p ) ∧ ( ~ q ) ) is equivalent to _ _ _ _ _ 2023 The negation of the statement ( ( A ∧ ( B ∨ C ) ) ⇒ ( A ∨ B ) ) ⇒ A is 2023 Among 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 2023 The converse of ~ p ∧ q ⇒ r is 2023 The 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 2023 The statement ~ p ∨ ~ p ∧ q is equivalent to 2023 The negation of the statement p ∨ q ∧ q ∨ ~ r is 2023 Full Mathematical Reasoning list All NTA Abhyas JEE Main PYQs