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If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?

Correct answer: B. 60

  • A. 48
  • B. 60
  • C. 54
  • D. 90

Explanation

P giving Q 16 points in a game of 80 means P:Q = 80:64 = 5:4. R giving P 20 points means R:P = 80:60 = 4:3, so R:Q = (4:3)(5:4) = 5:3. In a game of 150 points, Q scores 90 points when R scores 150 points, so R can give Q 150 - 90 = 60 points. The likely mistake is selecting 54 by combining the point differences instead of the speed ratios.

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