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Two statements are given, followed by four conclusions numbered 1, 2, 3 and 4. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows(s) from the statements. Statements: 1. All mats are vans. 2. Some cots are vans. Conclusions: 1. All mats are cots. 2. All cots are mats. 3. Some vans are cots 4. All vans are mats.

Two statements are given, followed by four conclusions numbered 1, 2, 3 and 4. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows(s) from the statements. Statements: 1. All mats are vans. 2. Some cots are vans. Conclusions: 1. All mats are cots. 2. All cots are mats. 3. Some vans are cots 4. All vans are mats. Correct Answer Only conclusion 3 follows

 

The least possible Venn diagram for the given statements is as follows,

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Conclusions:

1. All mats are cots → False (It is possible but not definite).

2. All cots are mats → False (It is possible but not definite).

3. Some vans are cots → True (As some cots are vans makes some vans are cots).

4. All vans are mats → False (It is possible but not definite).

Hence, the correct answer is the Only conclusion 3 follows.

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