A) \[\sqrt{5}\] is not an integer and 5 is not irrational
B) \[\sqrt{5}\] is an integer and 5 is irrational
C) \[\sqrt{5}\] is not an integer or 5 is not irrational
D) \[\sqrt{5}\] is irrational or 5 is an integer
Correct Answer: A
Solution :
[a] Let \[p:\sqrt{5}\] is an integer \[q:5\]is irrational Given statement is \[(p\vee q)\] Negation of given statement will be \[\tilde{\ }(p\vee q)\] \[=\,\,\tilde{\ }p\wedge \tilde{\ }q\] \[=\sqrt{5}\] is not an integer and 5 is not irrational
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