Question : Directions: Below some statements are given followed by some conclusions. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: Some pens are pencils. Some pencils are erasers. Some erasers are sharpeners. Conclusions: I. Some sharpeners are pens. II. Some pencils are sharpeners. III. Some erasers are pens.
Option 1: None follows
Option 2: Only II follows
Option 3: Only III follows
Option 4: All follow
Correct Answer: None follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some sharpeners are pens – From the Venn diagram, it is evident that there is no direct relation between sharpeners and pens. So, no definite relation can be drawn. Therefore, this conclusion doesn't follow. Conclusion (II): Some pencils are sharpeners – From the Venn diagram, it is evident that there is no direct relation between sharpeners and pencils. So, no definite relation can be drawn. Therefore, this conclusion doesn't follow. Conclusion (III): Some erasers are pens – From the Venn diagram, it is evident that there is no direct relation between erasers and pens. So, no definite relation can be drawn. Therefore, this conclusion doesn't follow.
So, none of the conclusions follow. Hence, the first option is correct.
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