Mathematical Logic And Boolean Algebra Question 75
Question: What is negation of the compound proposition? If the examination is difficult, then I shall pass if I study hard.
Options:
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
Show Answer
Answer:
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.
BETA
