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

Correct answer

B. Person A failed only in physics among mathematics, physics and chemistry.

Step-by-step solution

~ ~ p ⇒ q ⇒ ~ r ≡ ~ p ∧ ~ q ⇒ ~ r ≡ p ∧ ~ q ∧ r

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