Question Bank - General Aptitude

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Select the option, which is the logical equivalent of the statement given below:If you are good in English, then you can write a poem.

A.
If you can write a poem, then you are good in English
B.
If you cannot write a poem, then you are not good in English
C.
If you are not good in English, then you cannot write a poem
D.
If you cannot write a poem , then you are good in English

Solution:

To find the logical equivalent of the given statement is we should find its contrapositive.Concept used: Contrapositive and converse Contrapositive and converse are certainother statements that can be formed from a given statement with œif-then.Statement: if p then qContrapositive: if not q then not pIf a statement is true, the contrapositive is also true.For example, let us consider the following œif-then statement:If you are good in English, then you can write a poem. Then the contrapositive of this statement is:If you cannot write a poem, then you are not good in English.Note that both these statements convey the same meaning. Therefore, if you cannot write a poem, then you are not good in English.Hence, Option 2 is correct.Confusion PointsOption 1 is not the correct answer.Given statement: If you are good in English, then you can write a poem.Option 1: If you can write a poem, then you are good in EnglishIf you are good in English doesn't necessarily mean that you can write a poem.Option 3 is not the correct answer.Given statement: If you are good in English, then you can write a poem.Option 3: If you are not good in English, then you cannot write a poem.The statement states that if someone is good in English, then you can write a poem but it doesn't state anything about someone who is not good in English.

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