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Solutions
Given Statements:
1. All cottons are silks.
2. All silks are wools.
3. All wools are jutes.
The least possible Venn diagram for the given statement is:

Conclusions:
I. Some jutes are silks - True (Because, All silks are wools and All wools are jutes, so Some jutes are silks will be definitely true).
II. Some wools are cottons - True (Because, All cottons are silks and All silks are wools, so Some wools are cottons will be definitely true).
III. Some jutes are cottons - True (Because, All silks are wools, All wools are jutes and All wools are jutes, so Some jutes are cottons will be definitely true).
So, All conclusions 1, 2 and 3 follow.
Hence, the correct answer is "Option 3".