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If then its contra positive will be:

Computer Science20231 markMCQ
If $(\sim p \Rightarrow \sim q)$ then its contra positive will be:
  • (a)$p \Rightarrow q$
  • (b)$q \Rightarrow p$
  • (c)$\sim q \Rightarrow p$
  • (d)$\sim p \Rightarrow q$

Answer

Answer

AI

Correct option: (b)

Answer: (b) $q \Rightarrow p$ The contrapositive of $a \Rightarrow b$ is $\sim b \Rightarrow \sim a$; here $a = \sim p$, $b = \sim q$, so it is $\sim(\sim q) \Rightarrow \sim(\sim p)$, i.e. $q \Rightarrow p$.
Boolean Algebra

From ISC 2023 Computer Science Paper 1, question 1(iv).