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Question :

In the question below, two conclusions are given followed by five statements. You have to choose the correct set of statements from which the given conclusions can be logically derived.

Conclusions:

All claps being flaps is a possibility. Some flaps are gaps.

Statements:

I. Only a few gaps are claps. All flaps are claps.

II. Only a few gaps are flaps. Only a few claps are gaps.

III. Some claps are not gaps. Only a few claps are flaps.

IV. No gap is a clap. Only a few flaps are gaps.

V. Only a few flaps are gaps. A few gaps are claps.

1. Only II

2. Only I and II

3. Only II, IV and V

4. Only IV and V

5. All of the given

Correct Answer : 3
Solution :

Statements I: Only a few gaps are claps, i.e., some gaps will definitely not be claps. All flaps are claps.

All claps being flaps is a possibility is true. Some flaps are gaps is not definitely true. So, the conclusions cannot be derived from statement I.

Statements II: Only a few gaps are flaps, i.e., some gaps will definitely not be flaps. Only a few claps are gaps, i.e., some claps will definitely not be gaps.

All claps being flaps is a possibility is true. Some flaps are gaps is true. So, the conclusions can be derived from statement II.

Statements III: Some claps are not gaps. Only a few claps are flaps, i.e., some claps will definitely not be flaps.

All claps being flaps is a possibility is not true. Some flaps are gaps is not a definite truth. So, the conclusions cannot be derived from statement III.

Statements IV: No gap is a clap. Only a few flaps are gaps, i.e., some flaps will definitely not be gaps.

All claps being flaps is a possibility is true. Some flaps are gaps is true. So, the conclusions can be derived from statement IV.

Statements V: Only a few flaps are gaps, i.e., some flaps will definitely not be gaps. A few gaps are claps.

All claps being flaps is a possibility is true. Some flaps are gaps is true. So, the conclusions can be derived from statement V.

So, the conclusions follows from statements II, IV and V.

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