XAT 2018 — QA & DI Question 22
Answer the next 3 questions based on the information given below.
Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows;
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Note:
- The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
- In a match played between Team X and Team Y, if team X scores 1 and concedes none, then the score line would read. Team X-Team Y (1-0).
Which of the following matches are yet to be played?
Answer & solution
- A
Team A – Team B and Team C – Team D
- B
Team C – Team D and Team E – Team F
- C
Team E – Team F and Team B – Team D
- D
Team C – Team D and Team A – Team E
Team A – Team B and Team E – Team F
Team A wins both its matches and the only teams to lose a match are E and F.
∴ A played and won against E and F.
D drew both its matches. D would draw its matches against B (1 - 1) and C (0 - 0).
Since team B drew 1-1 with team D, team B must have won the other game 4-0.
If B won (4 - 0) against E, then E would’ve won its other match (1 – 0). But E has to lose both its matches.
∴ B won (4 - 0) against F and F lost its match against A (0 - 3).
Now, since A won against F (3 - 0) hence it won its match against E by (2 - 1)
Now since E lost its match against A by (1 - 2), E would’ve lost its other match by (0 - 2) against C.
[TBP = To be played]
Hence, option (e).