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
Correct Answer: A
Solution :
[a] If p: Examination is difficult q : I shall pass r : I study hard Given result is \[P\Rightarrow (r\Rightarrow q)\] Now, \[\sim (r\Rightarrow q)=r\wedge \sim q\] \[\sim (p\Rightarrow (r\Rightarrow q))\equiv p\wedge (r\wedge \sim q)\] The examination is difficult and I study hard but I shall not pass.
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