JEE Main202125 Jul 2021Evening ShiftMathematicsMathematical ReasoningActual
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:
Options
- AThe match will not be played and weather is not good and ground is wet.
- BIf the match will not be played, then either weather is not good or ground is wet.
- CThe match will be played and weather is not good or ground is wet.
- DThe match will not be played or weather is good and ground is not wet.
Correct answer
C. The match will be played and weather is not good or ground is wet.
Step-by-step solution
Let p : weather is good and q : ground is not wet Given statement "The match will be played only if the weather is good and ground is not wet" can be written as p ∧ q Now, negation of p ∧ q is ~ p ∧ q ≡ ~ p ∨ ~ q which is equivalent to "The match will be played and weather is not good or ground is wet".