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Question : Directions: Consider the given statement(s) to be true and decide which of the given conclusions can be drawn from the given statement.
Statements:
All cycles are ducks.
 All ducks are swans.
Conclusions:
I. All swans are cycles.
II. Some swans are cycles.

Option 1: Only conclusion I follows

Option 2: Only conclusion II follows

Option 3: Both conclusion I and conclusion II follow

Option 4: Neither Conclusion I nor Conclusion II follows


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: Only conclusion II follows


Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): All swans are cycles – From the Venn diagram, it is evident that some parts of the circle representing swans lie outside the circle representing cycles while some lie inside. So, from this, it can be concluded that some swans are cycles. Therefore, this conclusion does not follow.
Conclusion (II): Some swans are cycles – From the Venn diagram, it is evident that some parts of the circle representing swans lie outside the circle representing cycles while some lie inside. So, from this, it can be concluded that some swans are cycles. Therefore, this conclusion follows.

Therefore, only the conclusion II follows. Hence, the second option is correct.

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