JEE Main 20207 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2020
- Date
- 7 January
- Shift
- Morning Shift
- Subject
- Mathematics
- Chapter
- Mathematical Reasoning
JEE Main 2020 · 7 January · Morning Shift · Mathematics · Mathematical Reasoning
For two statements p and q , the logical statement (p → q) ∧ (q → ~...
For two statements , the logical statement \left(p \to q\right) ∧ \left(q \to ~ p\right) is equivalent to
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
| \left(p \to q\right) ∧ \left(q \to ~ p\right) | |||||
|---|---|---|---|---|---|
| T | T | T | F | F | F |
| T | F | F | F | T | F |
| F | T | T | T | T | T |
| F | F | T | T | T | T |
Clearly, \left(p \to q\right) ∧ \left(q \to ~ p\right) is equivalent to ~ p