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​Three statements are followed by the conclusions numbered I, II, and III. Assuming the statements to be true even if they do not conform to real-worl
Question

Three statements are followed by the conclusions numbered I, II, and III. Assuming the statements to be true even if they do not conform to real-world knowledge. Decide which of the given conclusions and possibilities can be true on the basis of the statements.
Statements:
1. Some sports are cricket.
2 Some cricket is tennis.
3. All tennis are balls.
Conclusions:
I. Some tennis are sports.
II. Some balls are sports.
III. Some balls are cricket.

A.

Only conclusion (I) is true

B.

Only conclusions (I) and (II) are true

C.

Only conclusion (II) is true

D.

Only conclusion (III) is true

Correct option is D

Statements:
1. Some sports are cricket.
2 Some cricket is tennis.
3. All tennis are balls.
According to the given statements, the possible Venn diagram is as follows:

Let's analyze the conclusions:
Conclusion (I): Some tennis are sports - From the Venn diagram, it is evident that there is no direct relation between tennis and sports. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II): Some balls are sports - From the Venn diagram, it is evident that there is no direct relation between balls and sports. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III): Some balls are cricket - From the Venn diagram, it is evident that the circles representing balls and cricket intersect and overlap each other. So, from this, it can be concluded that some balls are cricket. Thus, this conclusion follows.
So, only conclusion (III) follows.
Thus, the correct answer is (d).

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