Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s). Statements: Some stones are cubes. No cube is a glass. All bats are cubes. Conclusions: I. Some stones being bats is a possibility. II. No bat is a glass. III. All cubes are bats. IV. No stone is a glass.
Option 1: Only conclusions I, II, and IV follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusion I follows
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some stones being bats is a possibility – As some stones are cubes and all bats are cubes. So some stones being bats is possible. Therefore, this conclusion follows. Conclusion II: No bat is a glass – Since all the bats are cubes and no cube is a glass. So, no bat is a glass. Therefore, this conclusion follows. Conclusion III: All cubes are bats – From the Venn diagram, it is evident that some parts of the circles representing cubes lie outside the circle representing bats while some lie inside. So, from this, it can be concluded that some cubes are bats. Therefore, this conclusion does not follow. Conclusion IV: No stone is a glass – From the Venn diagram, it is evident that there is no direct relation between stone and glass. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
So, only conclusions I and II follow. Hence, the third option is correct.
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Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the
Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the
Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s)
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