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Races & Games · Question 55 of 73

Question 55

HardOriginal question

In a game of 50, A can give B 5 points, and in a game of 60, B can give C 12 points. How many points can A give C in a game of 50?

Options for question 55

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. When A scores 50, B scores 45. C scores 4860=45\frac{48}{60} = \frac{4}{5} of B's points.

  2. So when A scores 50, C scores 45×45=3645 \times \frac{4}{5} = 36: A gives C 14 points.

Worth noting

17 adds the margins, but B's 12-point lead is over a game of 60, and B scores only 45 in A's game.

Concept
Chaining two games
Typical time
120 s
Your time
—
The rule this testsGames of points
Practise this chapter →

Ten questions from Races & Games, at your own pace.

Practise this chapter →

Ten questions from Races & Games, at your own pace.