JEE PYQ: Mathematical Reasoning Question 25
Question 25 - 2020 (09 Jan Shift 1)
Negation of the statement: $\sqrt{5}$ is an integer of 5 is irrational is:
(1) $\sqrt{5}$ is not an integer or 5 is not irrational
(2) $\sqrt{5}$ is not an integer and 5 is not irrational
(3) $\sqrt{5}$ is irrational or 5 is an integer.
(4) $\sqrt{5}$ is an integer and 5 is irrational
Type: MCQ
Show Answer
Answer: (2)
Solution
Negation of $\sim(p \vee q) = \sim p \wedge \sim q$. $\sqrt{5}$ is not an integer and 5 is not an irrational number.
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