Question : Directions: Three Statements are given followed by three conclusions numbered I, II, and III. 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:
I. All plates are bowls.
II. No bowl is a glass.
III. Some glasses are vessels.
Conclusions:
I. Some glasses are plates.
II. Some bowls are plates.
III. Some vessels are bowls.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the statements given will be –
Let's analyse the conclusions –
Conclusion (I):
Some glasses are plates – It is given that all plates are bowls and no bowl is glass. So, no glasses are plates. Therefore, this conclusion does not follow.
Conclusion (II):
Some bowls are plates – From the above diagram, it is evident that the circle that represents plates lies inside the circle that represents bowls. So, from this, it can be concluded that some bowls are plates. Therefore, this conclusion follows.
Conclusion (III):
Some vessels are bowls – From the above diagram, it is evident that there is no direct relation between vessels and bowls. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
So, only conclusion II follows. Hence, the third option is correct.
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