DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (ONLY ONE option is correct) from the following- |
Statement-1: The statement \[(p\vee q)\wedge \tilde{\ }p\]and\[\tilde{\ }p\wedge q\]are logically equivalent. |
Statement-2: The end columns of the truth table of both statements are identical. |
A) Statement-1 is false, Statement-2 is true.
B) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
C) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
D) Statement-1 is true, Statement-2 is false.
Correct Answer: B
Solution :
Truth table has been given below:\[p\] | \[q\] | \[\tilde{\ }p\] | \[p\vee q\] | \[(p\vee q)\wedge \tilde{\ }p\] | \[\tilde{\ }p\wedge q\] |
T | T | F | T | F | F |
T | F | F | T | F | F |
F | T | T | T | T | T |
F | F | T | F | F | F |
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