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Two statements are given followed by Three conclusions numbered I, II,and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.Statements:No cylinder is a drum.All balls are cylinders.Conclusions:I- No drum is a cylinder.II- Some cylinders are balls.III- No ball is drum.AOnly conclusion I and III follow.BOnly conclusion I and II follow.CAll of the conclusions followDOnly conclusion II and III follow.

Question

Two statements are given followed by Three conclusions numbered I, II,and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.Statements:No cylinder is a drum.All balls are cylinders.Conclusions:I- No drum is a cylinder.II- Some cylinders are balls.III- No ball is drum.AOnly conclusion I and III follow.BOnly conclusion I and II follow.CAll of the conclusions followDOnly conclusion II and III follow.

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Solution

The correct answer is D. Only conclusion II and III follow.

Here's why:

Statement 1: No cylinder is a drum. This means that there is no overlap between cylinders and drums.

Statement 2: All balls are cylinders. This means that all balls fall within the category of cylinders.

Conclusion I: No drum is a cylinder. This is the opposite of Statement 1, so it does not follow.

Conclusion II: Some cylinders are balls. This is true because according to Statement 2, all balls are cylinders. So, at least some cylinders are balls.

Conclusion III: No ball is drum. This is true because all balls are cylinders (Statement 2) and no cylinder is a drum (Statement 1). Therefore, no ball can be a drum.

So, only conclusions II and III logically follow from the statements.

This problem has been solved

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