The contrapositive of the statement 'If Raju is courageous, then he will join Indian Army', is

The contrapositive of the statement 'If Raju is courageous, then he will join Indian Army', is
  1. If Raju does not join Indian Army, then he is courageous.
  2. If Raju does not join Indian Army, then he is not courageous.
  3. If Raju join Indian Army, then he is not courageous
  4. If Raju join Indian Army, then he is courageous.

Solution

Let $\mathrm{p}$ : Raju is courageous, and $\mathrm{q}$ : Raju will join Indian army. The contrapositive of $\mathrm{p} \rightarrow \mathrm{q}$ is $\sim \mathrm{q} \rightarrow \sim \mathrm{p}$ i.e. If Raju does not join Indian army, then he is not courageous.

Asked in: MHT CET 2020 (14 Oct Shift 1)

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