Question

Which of the contrapositive of “If you understand logic, you will be a good consumer”
Option A: If you are a good consumer, then you do not understand logic.
Option B: If you are not a good consumer, then you do not understand logic.
Option C: If you do not understand logic, then you will not be a good consumer.
Option D: None of these

Answer 1

The entire sentence has two statements, $p$ and $q$. $p$ is called hypothesis and $q$ is called conclusion. Inorder to find contrapositive of a statement, we have to follow the following steps. First we have to find the converse which is if $q$ , then $p$ and then contrapositive which is if not $q$ , then not $p$ .

Complete step-by-step answer:
In the above question, we are asked to find the contrapositive of the given statement.
When we are finding the contrapositive of a sentence, we interchange the hypothesis and the conclusion, and then find the inverse of the same statement.
Let the hypothesis be: If you understand logic - $p$
Let the conclusion be: you will be a good consumer - $q$
First we will find the converse and then the contrapositive.
The converse of the given question would be: if $q$ , then $p$
If you are a good consumer, you will understand logic.
The contrapositive of the given question would be: if not $q$ , then not $p$
If you are not a good consumer, you will not understand logic.

So, the correct answer is “Option B”.

Note: In order to find the contrapositive of a statement, we can also use another alternative method by first finding the inverse and then swapping hypothesis and conclusion. The contrapositive and original sentence follow the same logic. If one is true, then the other one is also true. If one is false, then the other one is also false.