Assume the statements are true.

Statements: Some lemons are limes. Some limes are oranges. Some oranges are melons.

Conclusions:

I. Some lemons are oranges.

II. Some limes are melons.

Explanation

1. 01

   Each 'Some' only says two circles touch somewhere. Two 'Some' statements in a row never give a definite link.

2. 02

   Lemons and oranges are joined only through two Some statements, so I is not definite. Limes and melons likewise, so II is not definite.

3. 03

   I and II are about different pairs, so they cannot be an either-or pair.

4. 04

   Neither I nor II follows.