Question : Directions: Three Statements are given followed by Four conclusions numbered I, II, III and IV. 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 curtains are pillows.
No pillow is a bedsheet.
Some curtains are bedsheets.
Conclusions:
I. No curtain is a bedsheet.
II. No pillow is a curtain.
III. Some bedsheets are curtains.
IV. Some pillows are curtains.

Option 1: All conclusions follow

Option 2: Both conclusions II and III follow

Option 3: Both conclusions III and IV follow

Option 4: Both conclusions I and II follow

Correct Answer: Both conclusions III and IV follow

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

Let's analyse the conclusions –
Conclusion (I): No curtain is a bedsheet – From the Venn diagram, it is evident that the circles representing curtains and bedsheets overlap and have some parts of their area in common. So, it can be concluded that some curtains are bedsheets. Thus, this conclusion does not follow.
Conclusion (II): No pillow is a curtain – From the Venn diagram, it is evident that the circles representing curtains and pillows overlap and have some parts of their area in common. So, it can be concluded that some pillows are curtains. Thus, this conclusion does not follow.
Conclusion (III): Some bedsheets are curtains – From the Venn diagram, it is evident that the circles representing curtains and bedsheets overlap and have some parts of their area in common. So, it can be concluded that some bedsheets are curtains. Thus, this conclusion follows.
Conclusion (IV): Some pillows are curtains – From the Venn diagram, it is evident that the circles representing curtains and pillows overlap and have some parts of their area in common. So, it can be concluded that some pillows are curtains. Thus, this conclusion follows.

So, both conclusions III and IV follow. Hence, the third option is correct.