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What is negation of the compound proposition? If the examination is difficult, then I shall pass if I study hard. 

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By Expert Faculty of Sri Chaitanya
a
The examination is difficult and I study hard but I shall not pass
b
The examination is difficult and I study hard and I shall pass
c
The examination is not difficult and I study hard and I shall pass
d
None of these

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detailed solution

Correct option is A

If p : Examination is difficult q : I shall pass  r : I study hard Given result is p⇒(r⇒q) Now, ~(r⇒q)=r∧~q~(p⇒(r⇒q))≡p∧(r∧~q)The examination is difficult and I study hard but I shall not pass.


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The contrapositive of inverse of p→∼q is

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