CUET · MATHS · PYQ PAPER 2025
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?
- A 10 points
- B 15 points
- C 20 points
- D 12 points
Answer & Solution
Correct Answer
(A) 10 points
Step-by-step Solution
Detailed explanation
\(A:B = 60:(60-15) = 60:45 = 4:3\) \(A:C = 60:(60-20) = 60:40 = 3:2\) \(B = \frac{3}{4}A\) \(C = \frac{2}{3}A\) \(C = \frac{2}{3} \left(\frac{4}{3}B\right) = \frac{8}{9}B\) When B scores 90, C scores \(C = \frac{8}{9} \times 90 = 80\) Points B can give C = \(90 - 80 = 10\)
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