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 statements.
Statements:
Some laptops are phones.
Some phones are capsules.
Some capsules are pens.
Conclusions:
I. Some laptops are capsules.
II. Some phones are pens.
III. Some pens are capsules.
IV. Some pens are phones.
Option 1: Only conclusions II and IV follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusion I follows
Option 4: Only conclusion III follows
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Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some laptops are capsules – From the Venn diagram, it is evident that there is no direct relation between laptops and capsules. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II):
Some phones are pens – From the Venn diagram, it is evident that there is no direct relation between phones and pens. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III):
Some pens are capsules – From the Venn diagram, it is evident that the circles representing pens and capsules overlap each other and have a part of their areas in common. So, from this, it can be concluded that some pens are capsules. Thus, this conclusion does not follow.
Conclusion (IV):
Some pens are phones – From the Venn diagram, it is evident that there is no direct relation between phones and pens. So, no definite relation can be drawn. Thus, this conclusion does not follow.
So, only conclusion III follows. Hence, the fourth option is correct.
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