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Question

Logical Reasoning Question on Syllogism

All Cherry are Pink. Some Pink are made into cake. All cake is eaten. Banana is Pink. Examine the following statements:
I. Banana is a Cherry
II. Banana is not a Cherry
III. Banana may be made into cake
IV. Banana will definitely be made into a cake
V. If Banana is Cherry, then it will be eaten
Choose the most appropriate answer:

A

Only III

B

Only II and III

C

Only IV and V

D

Only V

Answer

Only IV and V

Explanation

Solution

We know that all cake is eaten, so if Banana is made into cake, it will be eaten (V). Banana may or may not be made into a cake, but it could be, as some Pink are made into cake (III). We cannot say for certain that Banana will definitely be made into cake (IV), but if it were, it would be eaten.