Question : Directions: In this question, 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 follows/follow from the statements.
Statements:
Some spoons are black.
All black are crows.
No crow is a plate.
Conclusions:
I. Some black are spoons.
II. All crows are black.
III. No plate is a crow.
Option 1: Only conclusion I follows
Option 2: Only conclusions I and III follow
Option 3: None of the conclusions follows
Option 4: Only conclusion II follows
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Correct Answer: Only conclusions I and III follow
Solution : Based on the given statements, the Venn diagram will be –
Let's analyse the conclusions –
Conclusion I:
Some black are spoons – From the Venn diagram, it is clear that the circles that represent black and spoons overlap and have a part of their area in common. Therefore, this conclusion follows.
Conclusion II:
All crows are black – From the Venn diagram, it is clear that some parts of the circle that represent crows lie outside the circle that represents black. So, some crows are black. Therefore, this conclusion does not follow.
Conclusion III:
No plate is a crow – From the Venn diagram, there is a negative relation between a plate and a crow. Therefore, this conclusion follows.
So, only conclusions I and III follow. Hence, the second option is correct.
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