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Question

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

Statements : Some potatoes are nuts.

All nuts are cashews.

No cashew is a fruit.

Conclusions: Some potatoes are cashews.

Some potatoes are not fruits.

No fruit is a cashew.

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

Solution

Some potatoes are nuts(I) + All nuts are cashews(A) ⇒ Some potatoes are cashews(I). Hence conclusion I follows. Some potatoes are nuts(I) + All nuts are cashews(A) ⇒ Some potatoes are cashews(I) + No cashew is a fruit(E) ⇒ Some potatoes are not fruits(O). Hence conclusion II follows. No cashew is a fruit(E) ⇒ Conversion ⇒ No fruit is a cashew(E). Hence conclusion III follows. Venn Diagram Method

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