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Question

In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the three 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.

Statement :

Some biscuits are cakes.

All cakes are flours.

All flours are muffins.

Conclusion :

I. All muffins being biscuits is a possibility.

II. At least some flours are biscuits.

III. Some cakes are not muffins.

A None follows Correct Answer Incorrect Answer
B I, II and III follow Correct Answer Incorrect Answer
C II and III follow Correct Answer Incorrect Answer
D I and II follow Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Some biscuits are cakes (I) + All cakes are flours (A) ⇒ Some biscuits are flours (I) + All flours are muffins (A) ⇒ Some biscuits are muffins (I) ⇒ Conversion ⇒ Some muffins are biscuits (I) ⇒ Probable Conclusion ⇒ All muffins being biscuits is a possibility(A). Hence conclusion I and II follows. All Cakes are flours (A) + All flours are muffins (A) ⇒ All Cakes are muffins (A). Hence conclusion III will not follow.

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