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 fingers are toes.
Some toes are rings.
Some rings are hands.
Conclusions:
I. Some hands are toes.
II. Some rings are fingers.
III. Some hands are fingers.
IV. Some fingers are rings.
Option 1: None of the conclusions follow
Option 2: Only conclusions III and IV follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and II follow
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Correct Answer: None of the conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some hands are toes – From the Venn diagram, it is evident that there is no direct relation between hands and toes. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion II:
Some rings are fingers – From the Venn diagram, it is evident that there is no direct relation between rings and fingers. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion III:
Some hands are fingers – From the Venn diagram, it is evident that there is no direct relation between hands and fingers. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion IV:
Some fingers are rings – From the Venn diagram, it is evident that there is no direct relation between rings and fingers. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
So, none of the conclusions follow. Hence, the first option is correct.
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