Question : Directions: In the following question are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance with commonly-known facts, read all conclusions and decide which one logically follows from the given statements. Statements: No cup is a plate. No plate is a spoon. Conclusions: I. No cup is a spoon. II. Some spoons are cups.
Option 1: Only I
Option 2: Only II
Option 3: Neither I nor II
Option 4: Both I and II
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Correct Answer: Neither I nor II
Solution : The Venn diagram is as follows –
Let's analyse the conclusions – Conclusion (I): No cup is spoon – From the above diagram, it is evident that there is no direct relation between cup and spoon. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow. Conclusion (II): Some spoons are cups – From the above diagram, it is evident that there is no direct relation between cup and spoon. So, no definite relation can be drawn between them. Therefore, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the third option is correct.
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