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