Question

In each question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Give Answer:

Statement: All calculators are buttons.

           All buttons are ovals.

Conclusions: I. Some calculators are ovals.

       II. All ovals are buttons.

A If only conclusion I follows; Correct Answer Incorrect Answer
B If only conclusion II follows; Correct Answer Incorrect Answer
C If either I or II follows; Correct Answer Incorrect Answer
D If neither I nor II follows; Correct Answer Incorrect Answer
E If both I and II follow. Correct Answer Incorrect Answer

Solution

All calculators are buttons (A) + All buttons are ovals (A) = All calculators are ovals (A) ⇒ I.I. ⇒ Some calculators are ovals (I). Hence, conclusion I will follow. All buttons are ovals (A) ⇒ conversion ⇒ Some ovals are buttons (I). Hence, conclusion II will not follow.

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