JEE Main 202325 JanuaryEvening Shift
- Exam
- JEE Main
- Year
- 2023
- Date
- 25 January
- Shift
- Evening Shift
- Subject
- Mathematics
- Chapter
- Mathematical Reasoning
JEE Main 2023 · 25 January · Evening Shift · Mathematics · Mathematical Reasoning
Let △ , ∇ ∈ ∧ , ∨ be such that ( p → q ) △ ( p ∇ q ) is a...
Let be such that is a tautology. Then
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Given,
be such that is a tautology
Now checking all options by making truth table we get,
Option
| T | T | T | T | T |
| T | F | F | T | F |
| F | T | T | T | T |
| F | F | T | F | F |
Option
| T | T | T | T | T |
| T | F | F | F | F |
| F | T | T | F | T |
| F | F | T | F | T |
Option
| T | T | T | T | T |
| T | F | F | T | T |
| F | T | T | T | T |
| F | F | T | F | T |
Hence, it is a tautology.
Option
| T | T | T | T | T |
| T | F | F | F | F |
| F | T | T | F | F |
| F | F | T | F | F |