With only one match between teams B and C remaining in a tournament where each win fetches two points and a loss none, team A observes that they will become champions with more points than any other team if B wins, but not necessarily if B loses. Which statement must be true?

Correct option is D

Solution: · Only one match remains, between B and C.
· Team A will not play again, so A’s points are fixed.
· If B wins, B gets 2 points and A still finishes with more points than everyone.
· If B loses (so C wins), C gets 2 points and A may fail to be champion.
This means:
· Currently, C is close enough to A that gaining 2 points could catch or surpass A.
· But when B wins, C does not get those 2 points, so A remains ahead.
Therefore, the maximum lead A can have over C is 2 points. If A were leading C by more than 2 points, then even after C’s win, A would still be champion — which contradicts the condition.
Correct answer: (d) A is leading C by at most two points