QUESTION

CSAT

Medium

Reasoning

Prelims 2025

Three teams P, Q, R participated in a tournament in which the teams play with one another exactly once. A win fetches a team 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. The team P got 3 points, Q got 2 points and R got 1 point.

Which of the following statements is/are correct?

I. The result of the match between P and Q is a draw with the score 0–0. II. The number of goals scored by R against Q is 1.

Which of the statements given above is/are correct?

Select an option to attempt

Explanation

Matches: P–Q, P–R, Q–R. Points: P= $3$ , Q= $2$ , R= $1$ . Each team scores exactly one goal in the whole tournament.

From points:

P= $3$ $\Rightarrow$ one win ( $2$ ) + one draw ( $1$ ).
Q= $2$ $\Rightarrow$ two draws ( $1+1$ ).
R= $1$ $\Rightarrow$ one draw ( $1$ ) + one loss ( $0$ ).

Since P has a win and R has a loss, P must have beaten R. Because each team has only one total goal, P’s single goal must be in P–R, and R scores 0 there $\Rightarrow$ P–R = $1$ – $0$ .