Direction for the following 2 (two) items: Consider the given information and answer the two items (9-10) that follow.

No supporters of “Party X’, who knew Z and supported his campaign strategy, agreed to the alliance with “Party Y’, but some of them had friends in ‘Party Y’. With reference to the above information, which one among the following statements must be true?

The correct answer is: There is at least one supporter of ‘Party Y’ who knew some supporters, of ‘Party X’ as a friend.

Let us analyze the given premise step-by-step:

1. The problem states that "some of them [referring to supporters of ‘Party X’] had friends in ‘Party Y’."
2. Having a friend in ‘Party Y’ implies a mutual friendship or connection between a supporter of ‘Party X’ and a supporter of ‘Party Y’.
3. If a supporter of ‘Party X’ has a friend who is a supporter of ‘Party Y’, it logically follows that there is at least one supporter of ‘Party Y’ who has a friend among the supporters of ‘Party X’.
4. Therefore, it MUST be true that there is at least one supporter of ‘Party Y’ who knew some supporters of ‘Party X’ as a friend.

Let us briefly check why the other options are not necessarily true:

- "Some supporters of ‘Party Y’ did not agree to the alliance with ‘Party X’": We are given information regarding the agreement/stance of ‘Party X’ supporters, but no definite information regarding the stance of ‘Party Y’ supporters on agreeing to the alliance.
- "No supporters of ‘Party X’ supported Z’s campaign strategy": This contradicts the prompt, which explicitly mentions that there were supporters of ‘Party X’ who knew Z and supported his campaign strategy.
- "No supporters of ‘Party X’ knew Z": This also directly contradicts the prompt, which mentions supporters of ‘Party X’ who knew Z.