Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. All pencils are pens.
II. Some pens are rubber.
Conclusions:
I. All rubber is pencil.
II. Some pens are not pencils.
III. Some rubbers are not pens.
Option 1: Neither conclusion follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and III follow
Option 4: All conclusion follows
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Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Conclusion I:
All rubber is pencil – From the Venn diagram, it can be seen that there is no direct relation between rubber and pencil. So, no relation can be drawn from it.
Conclusion II:
Some pens are not pencils – From the Venn diagram, there is no definite relation between pens and pencils. So, this conclusion is incorrect.
Conclusion III:
Some rubbers are not pens – From the Venn diagram, there is no definite relation between pens and rubbers. So, this conclusion is incorrect.
Therefore, neither conclusion follows according to the given statements. Hence, the first option is correct.
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