Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All the students are good. Rachel is a student. Some good are honest. Conclusions: I. Rachel is honest. II. Some honest are good.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram for the given statements is as follows –
Let's analyse the given conclusions – Conclusion (I): Rachel is honest – From the Venn diagram, it is evident that there is no direct relation between Rachel and honest. So, no definite relation can be drawn. Thus, this conclusion does not follow. Conclusion (II): Some honest are good – From the Venn diagram, it is evident that the circles representing honest and good overlap and have a part of their area in common. So, from this, it can be concluded that some honest are good. Thus, this conclusion follows.
So, only conclusion (II) follows. Hence, the first option is true.
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Option 1: Both conclusions I and II follow
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Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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Option 2: Only conclusion II follows
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Option 3: Both conclusions I and II follow
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Option 4: Neither conclusion I nor II follow
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