Question

The contrapositive of the statement. “If the weather is fine then my friends will come and we go for a picnic.”
A. The weather is fine but my friends will not come or we do not go for a picnic
B. If my friends do not come or we do not go for picnic then weather will not be fine
C. If the weather is not fine then my friends will not come or we do not go for a picnic
D. The weather is not fine but my friends will come and we go for a picnic

Answer 1

Hint : In order to solve this problem, we will find the relation between the different parts of the sentences then correlate the interpreted information. By contrapositive, we mean that we will contradict with the subject and also contradict with the predicate. In other words, we will contradict with the hypothesis and the conclusion of the given statement. To find the answer we will interchange the hypothesis with the conclusion.

Complete step-by-step answer :
According to the statement given in the question the friend’s arrival is possible only when the weather condition is fine. We can conclude from the statement that the coming of the friends directly depends on the condition of weather. So, to find the contrapositive of the statement given, we will have to contradict the hypothesis that weather is fine only when the friends will come. Therefore, we can say that if my friends do not come or we do not go for a picnic then the weather will not be fine.
Hence from the above conclusion it is clear that option B is the correct answer of the problem.
So, the correct answer is “Option B”.

Note : Make the correct interpretation of the statements in order to get the answer correctly. The question is based on the interpretation only. We will have to change the hypothesis into conclusion and vice and versa. The above problem can also be solved by the mathematical interpretation of the data in the statement form. These statements can be assigned with variables and then relation can be expressed.