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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

Consider three statements p : Suyash will come today evening q :...

Consider three statements
pp: Suyash will come today evening
qq: Shalini will be at his home
rr: They will go to party.
Then the statement \left(~ q ∧ ~ r\right) ⇒ p is logically equivalent to

Options

  1. AIf Suyash will not come today then Shalini will go to party.
  2. BIf Suyash will not come today then Shalini will not go to party.
  3. CSuyash will come today or Shalini will be at his home or they will go to party.
  4. DSuyash will come today or Shalini will go to party.

Correct answer

C. Suyash will come today or Shalini will be at his home or they will go to party.

Step-by-step solution

( q∧ r)⇒p≡ ( q∧ r)∨p\left(~ q ∧ ~ r\right) ⇒ p ≡ ~ \left(~ q ∧ ~ r\right) ∨ p
≡(q∨r)∨p≡p∨q∨r≡ \left(q ∨ r\right) ∨ p ≡ p ∨ q ∨ r
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