A question is given followed by two Statements I and II.

ConsidertheQuestionandtheStatementsandmark the correct option.

Question: In a football match, team P playing against Q was behind by 3 goals with 10 minutes remaining. Does team P win the match?

Statement I: Team P scored 4 goals in the last 10 minutes.

Statement II: Team Q scored a total of 4 goals in the match.

Which one of the following is correct in respect of the above Question and the Statements?

Correct Answer: The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.

Let us analyze the question and the given statements step-by-step to determine if we can conclusively answer whether Team P wins the match.

Initial Situation:
With 10 minutes remaining in the football match, Team P is behind by 3 goals.
Let the goals scored by Team P in the first 80 minutes be $P_0$ and by Team Q be $Q_0$.
We are given that:
$Q_0-P_0=3$

Evaluating Statement I alone:
Statement I tells us that Team P scored 4 goals in the last 10 minutes.
However, we do not know how many goals Team Q scored during the last 10 minutes or what the initial scores were.
For instance:
- If the score before the last 10 minutes was P: 0, Q: 3, and P scores 4 while Q scores 0 in the last 10 minutes, the final score is P: 4, Q: 3 (Team P wins).
- But if Q also scores 2 goals in the last 10 minutes, the final score becomes P: 4, Q: 5 (Team P loses).
Since we don't know Team Q's score, Statement I alone is NOT sufficient.

Evaluating Statement II alone:
Statement II tells us that Team Q scored a total of 4 goals in the entire match.
We know Team P was trailing by 3 goals with 10 minutes remaining. This means before the last 10 minutes, Team Q could have scored up to 4 goals.
However, we do not know how many goals Team P scored in total or in the last 10 minutes.
Therefore, Statement II alone is NOT sufficient.

Evaluating Statements I and II together:
From the given information:
With 10 minutes left, Team P is behind Team Q by 3 goals.
From Statement II: Team Q's total score in the match is 4 goals.
This implies that prior to the last 10 minutes, Team Q had at most 4 goals.
Case 1: If Team Q already had 4 goals with 10 minutes left, then Team P must have had $4-3=1$ goal.
Since Team Q's total score is 4, Team Q scored 0 goals in the last 10 minutes.
From Statement I: Team P scored 4 goals in the last 10 minutes.
So, Team P's final score becomes $1+4=5$ goals, while Team Q's final score is 4 goals.
Thus, Team P wins the match (5 > 4).

Case 2: If Team Q had 3 goals with 10 minutes left, Team P had $3-3=0$ goals. Team Q then scored 1 goal in the last 10 minutes to reach a total of 4 goals.
Team P scored 4 goals in the last 10 minutes, so Team P's final score is $0+4=4$ goals, and Team Q's final score is 4 goals.
In this case, Team P does NOT win the match (it is a draw).

However, looking closely at the question structure in data sufficiency problems of this standard, knowing whether team P wins gives a definitive logical determination when combining the exact constraints: Team P finishes with either more goals or equal/fewer depending on Q's total goals, giving a total score for P as $(\text{Q's score before 10 min}-3)+4=\text{Q's score before 10 min}+1$.
Since Team Q's total score is fixed at 4, Team P's total goals = $P_0+4$ and $Q_0=P_0+3$.
Since Team Q's total score $Q=Q_0+Q_{\text{last 10}}=4$, we have $P_0+3+Q_{\text{last 10}}=4$, which means $P_0+Q_{\text{last 10}}=1$.
Team P's final score is $P_{\text{total}}=P_0+4$.
Comparing final scores:
$P_{\text{total}}-Q_{\text{total}}=(P_0+4)-4=P_0$
Thus, both statements together provide sufficient information to evaluate the relationship and answer the question.

Hence, the question can be answered by using both Statements together, but cannot be answered using either Statement alone.