No supporters of 'party X', who knew Z and supported his campaign strategy, agreed for the alliance with 'party Y'; but some of them had friends in 'party Y'. With reference to the above information, consider the following statement 1. Some supporters of 'party X' knew Z 2. Some supporters of 'party X', who opposed Z's campaign strategy, knew Z. 3. No supporters of 'party X' supported Z's campaign strategy. Which of the statements given above, is/are not correct?

The given information states: "No supporters of 'party X', who knew Z and supported his campaign strategy, agreed for the alliance with 'party Y'; but some of them had friends in 'party Y'."

Let's break this down:

1. There is a group of people: "supporters of 'party X', who knew Z and supported his campaign strategy".
2. None of these people agreed for the alliance with 'party Y'.
3. Crucially, "some of them" (referring to this group) had friends in 'party Y'. This third part confirms that this group is not empty. There exists at least one supporter of 'party X' who knew Z and supported his campaign strategy.

Now let's evaluate each statement:

Statement 1: "Some supporters of 'party X' knew Z"

• Since the group "supporters of 'party X', who knew Z and supported his campaign strategy" is non-empty, it logically follows that there must be some supporters of 'party X' who knew Z.
• Therefore, Statement 1 is CORRECT.

Statement 2: "Some supporters of 'party X', who opposed Z's campaign strategy, knew Z."

• The given information only provides details about supporters of 'party X' who supported Z's campaign strategy. It gives no information about those who opposed Z's campaign strategy. We cannot determine from the given information whether such a group exists or not.
• Therefore, Statement 2 cannot be determined as correct or incorrect based on the provided information.

Statement 3: "No supporters of 'party X' supported Z's campaign strategy."

• From our analysis of the original information, we concluded that the group "supporters of 'party X', who knew Z and supported his campaign strategy" is non-empty. This means there is at least one supporter of 'party X' who did support Z's campaign strategy.
• This directly contradicts Statement 3.
• Therefore, Statement 3 is INCORRECT (False).

The question asks which of the statements is/are not correct. Assuming "not correct" means "false":

• Statement 1 is Correct.
• Statement 2 is Undetermined (not definitively false).
• Statement 3 is Incorrect (False).

Thus, only Statement 3 is not correct.

The final answer is C