A) If Gopal get a first class, then he does not works hard.
B) If Gopal does not get a first class, then he works hard.
C) If Gopal does not get a first class, then he does not work hard.
D) If Gopal does not work hard, then he does not get a first class.
Correct Answer: C
Solution :
The contrapositve of \[p\to q\] \[\Rightarrow \tilde{\ }q\to \tilde{\ }p\] Here, p: Gopal works hard q: Gopal gets a first class \[+\cos \theta (-\sin \theta -\cos \theta )=0\] q: Gopal does not get a first class \[\Rightarrow \,(\sin \theta +\cos \theta )\,(\sin \theta \,-\cos \theta +\sin \theta -\cos \theta )=0\] p: Gopal does not work hard
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