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Question

In each question below are given four statements followed by three conclusions numbered I, II and III. 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

Statements:Some pins are needles.

All needles are ropes.

Some ropes are buckets.

All buckets are trees.

Conclusions:I. Some buckets are pins.

II. Some ropes are pins.

III. No bucket is pin.

A Only either I or III and II follows Correct Answer Incorrect Answer
B Only either I or III follows Correct Answer Incorrect Answer
C Only II follows Correct Answer Incorrect Answer
D Only either I or II and III follows Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Some pins are needles(I) + All needles are ropes(A) ⇒ Some pins are ropes(I) + Some ropes are buckets(I) ⇒  No conclusion. Hence conclusion I & III do not follow but they will make complementary pair. Hence, either conclusion I or III follows. Some pins are needles(I) + All needles are ropes(A) ⇒ Some pins are ropes(I) ⇒ Conversion ⇒ Some ropes are pins(I). Hence, conclusion II follows.

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