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UPSC Prelims 2025 CSAT, question 73

Topic: Data sufficiency

Q73

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question :

In a football match, team PP playing against QQ was behind by 3 goals with 10 minutes remaining. Does team PP win the match ?

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

Statement-II : Team QQ 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 ?

  1. (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. (b) The Question can be answered by using either Statement alone.
  3. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. (d) The Question cannot be answered even using any of the Statements.Correct answer

Solution.

Answer: (d) The Question cannot be answered even using any of the Statements.

  1. Statement I alone is not sufficient: knowing that Team PP scored 44 goals in the last 1010 minutes does not reveal how many goals Team QQ scored during those same 1010 minutes.
  2. Statement II alone is not sufficient: knowing Team QQ's total goals (44) does not reveal Team PP's final score.
  3. Even with both Statements together, if the score with 1010 minutes left was 11-44 and QQ scored 00 more goals, PP wins 55-44; but if the score with 1010 minutes left was 00-33 and QQ scored 11 more goal in the last 1010 minutes, the match ends in a 44-44 draw.