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Mathematical Reasoning
easy
Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following:
A
The match will not be played and weather is not good and ground is wet.
B
If the match will not be played, then either weather is not good or ground is wet.
C
The match will not be played or weather is good and ground is not wet.
D
The match will be played and weather is not good or ground is wet.
(JEE MAIN-2021)
Solution
$p:$ weather is good
$q :$ ground is not wet
$\sim(p \wedge q) \equiv \sim p \vee \sim q$
$=$ weather is not good or ground is wet
Standard 11
Mathematics
