Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Consider three statements p : Person ‘ A ’ passed in mathematics exam q : Person ‘ A ’ passed in physics exam r : Person ‘ A ’ passed in chemistry exam Then, the statement ~ ~ p ⇒ q ⇒ r is equivalent to

Options

  1. APerson A passed only in mathematics among mathematics & physics & chemistry.
  2. BPerson A failed only in mathematics among mathematics & physics & chemistry.
  3. CPerson A passed in all the three subjects mathematics & physics & chemistry.
  4. DPerson A passed in chemistry but failed in mathematics & physics.

Correct answer

A. Person A passed only in mathematics among mathematics & physics & chemistry.

Step-by-step solution

~ ~ p ⇒ q ⇒ r ≡ ~ p ∧ ~ q ⇒ r ≡ p ∧ ~ q ∧ ~ r ≡ p ∧ ~ q ∨ r ≡ o n l y p

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 NTA Abhyas JEE Main PYQs