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

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

The statement (~ (p ⇔ q)) ∧ p is equivalent to

The statement ( (p⇔q))∧p\left(~ \left(p ⇔ q\right)\right) ∧ p is equivalent to

Options

  1. Ap∧qp ∧ q
  2. Bq⇔pq ⇔ p
  3. Cp∧qp ∧ q
  4. Dp∧qp ∧ q

Correct answer

C. p∧qp ∧ q

Step-by-step solution

pp qq p⇔qp ⇔ q \left(p ⇔ q\right)</td><td>(p⇔q)</td> <td> \left(p ⇔ q\right)∧ p</td><td></td> <td>p ∧ q</td><td></td> <td> p ∧ q
T T T F F F F
T F F T T T F
F T F T F F T
F F T F F F F
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