Q21 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

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

  • Correct answer
    A
    Person A passed only in mathematics among mathematics & physics & chemistry.
  • B
    Person A failed only in mathematics among mathematics & physics & chemistry.
  • C
    Person A passed in all the three subjects mathematics & physics & chemistry.
  • D
    Person A passed in chemistry but failed in mathematics & physics.

Solution

~~p⇒q⇒r≡~p∧~q⇒r
≡p∧~q∧~r≡p∧~q∨r≡only p

Hence, the correct answer is option: 'A'.

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