JEE Main 20178 AprilOnline
- Exam
- JEE Main
- Year
- 2017
- Date
- 8 April
- Mode
- Online
- Subject
- Mathematics
- Chapter
- Mathematical Reasoning
JEE Main 2017 · 8 April · Online · Mathematics · Mathematical Reasoning
The proposition (~ p) ∨ (p ∧ ~ q) is equivalent to
The proposition
( p)∨(p∧ q)isequivalenttoOptions
- Ap→∼q
- Bp∧∼q
- Cq→p
- Dnone
Correct answer
A. p→∼q
Step-by-step solution
( p)∨(p∧ q)<br/><tableborder="1"><tbody><tr><td>p
</td><td>q
</td><td>∼ p
</td><td>∼ q
</td><td>p ∧ ∼ q
</td><td><p>( p)∨(p∧ q)</p></td><td>p \to ~ q
</td></tr><tr><td>T
</td><td>T
</td><td>F
</td><td>F
</td><td>F
</td><td>F
</td><td>F
</td></tr><tr><td>T
</td><td>F
</td><td>F
</td><td>T
</td><td>T
</td><td>T
</td><td>T
</td></tr><tr><td>F
</td><td>T
</td><td>T
</td><td>F
</td><td>F
</td><td>T
</td><td>T
</td></tr><tr><td>F
</td><td>F
</td><td>T
</td><td>T
</td><td>F
</td><td>T
</td><td>T
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