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Question

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

Options:
A .  30 points
B .  20 points
C .  10 points
D .  12 points
Answer: Option C

A : B = 60 : 45.


A : C = 60 : 40.


\(\frac{B}{C}=\left(\frac{B}{A}\times\frac{A}{C}\right)=\left(\frac{45}{60}\times\frac{60}{40}\right)=\frac{45}{40}=\frac{90}{80}= 90:80.\)


So, B can give C 10 points in a game of 90.


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