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:
Some bottles are towels.
No towel is a pillow.
All bottles are coats.
Conclusions:
I. Some coats are towels.
II. No coat is a towel.
III. Some bottles are pillows.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and III follow
Option 3: Either conclusion I or II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some coats are towels –
From the Venn diagram, it is evident that the two circles representing coats and towels overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (II):
No coat is a towel –
From the Venn diagram, it is evident that the two circles representing coats and towels overlap and have a part of their area in common. So, this conclusion does not follow.
Conclusion (III):
Some bottles are pillows –
From the Venn diagram, it is evident that there is no direct relation between bottles and pillows. Thus, no definite relation can be drawn. So, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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