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ExamsIBPS POQuantitative Aptitude

In a game of billiards, A can give B 15 points in 60, and A can give C 20 points in 60. How many points can B give C in a game of 90?

  1. 30 points
  2. 20 points
  3. 10 points
  4. 12 points

Correct answer: 10 points

Solution

If A gives B 15 points in 60, then when A scores 60, B scores 45, so \(A:B=60:45=4:3\). If A gives C 20 points in 60, then \(A:C=60:40=3:2\). Combining these, \(B:C=(3/4)\div(2/3)=9:8\), so in 90 points, B gives C 10 points.

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