# Aptitude - Races and Games - Discussion

### Discussion :: Races and Games - General Questions (Q.No.5)

5.

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?

 [A]. 30 points [B]. 20 points [C]. 10 points [D]. 12 points

Explanation:

A : B = 60 : 45.

A : C = 60 : 40. B = B x A = 45 x 60 = 45 = 90 = 90 : 80. C A C 60 40 40 80 B can give C 10 points in a game of 90.

 Matheen said: (Jan 27, 2011) How the 45 becomes 90 and 40 becomes 80 ?

 Habib said: (Mar 6, 2011) A can give B 15 pts in 60...Then how come A:B=60:45????

 Senthilkumar said: (Jun 18, 2011) The same doubt I am also having what Habib asked how come A:B= 60:45.

 Priya said: (Sep 18, 2011) @Habib Arey! The total points is 60 and from that he gives him 15. So 60-15 = 45

 Mukesh Vyas said: (May 23, 2012) Please clarification 90/80 thus 45/60*60/40 for 9/8 but answer sheet for 90/80 please right clarification this question.

 Madhavi said: (Aug 26, 2012) The same doubt I am also having what Habib asked how come A:B= 60:45.

 Sanjana said: (Sep 8, 2012) B lose 45 out of 60 and C lose 40 out of 60.

 Sowmya said: (Dec 1, 2012) @Mukesh vyas. Solved it as 45/60*60/40 which gives the result of 45/40 i.e., in the form of ratio it is 45:40 means for 45 points he give 40 points. But here they asked for 90 points. So it got doubled i.e., 90/80 or 90:80. So we got the difference as 10 points which is our required answer.

 Dhivya said: (Aug 14, 2014) How it will come 90/80. Because 90 is a total points, please clear my doubt?

 Obhg said: (Jan 11, 2015) How it will come 90/80? Because 90 is a total points, please clear my doubt? Solved it as 45/60*60/40 which gives the result of 45/40 i.e., in the form of ratio it is 45:40 means for 45 points he give 40 points. But here they asked for 90 points.

 Mahima said: (Feb 7, 2015) I also got the same doubt - how 45/60*60/40 = 90/80? But now my doubt is cleared

 Gayathri said: (Jul 31, 2015) How it is possible please send the detail?

 Pujan said: (Aug 18, 2015) How it becomes 60/45? Still not cleared.

 Shubham Mishra said: (Sep 11, 2015) Sir this question paper is very best.

 Rohit said: (Jan 19, 2016) Your doubt is 90/80. Because 40/45*90. = 8/9*90. 9 divided by 90, answer is 10. Then, 8*10 = 80. B give C in a game of 90. = 90/80. Ratio 90:80. 90-80 = 10. Answer: B give C 10 points in a game of 90.

 Kanna Tj said: (Jul 15, 2016) Here 45/40 is for a game of point 60. They asked how many point can B give to C in a game of 90. So convert B ie. 45 to 90 which is multiply (45 * 2) = 90 multiply by the same with 40 ie 40 * 2 = 80 then we get; 90/80 so B give C 10 points in a game of 90.

 Nikitha said: (Aug 1, 2016) Good explanation, Thank you @Rohit.

 Sweety said: (Aug 1, 2016) Thank you all for giving an explanation.

 Sharvaree said: (Aug 24, 2016) How A : B should be 60 : 45?

 Chinmay Bhola said: (Sep 3, 2017) 60-15 = 45 and 60-20 = 40 (remember this time it 60 points ,not a 100 meter race .) Ratio will be A:B 60:45 and A:C 60:40. Now B/A*A/C = B/C = B:C = 45/60*60/40 = 9:8 ,so B:C = 9:8 Multiply 10 in both rato, coz it will change nothing Now it's B:C = 90:80. 90-80=10points , these 10 points B can give C in a game of 90.

 Usman said: (Feb 11, 2018) In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100? can anyone tell me answer?

 Saurabh said: (Apr 6, 2018) How both ratio is same?

 Rakesh said: (Jun 5, 2018) B can give C 25 points in a game of 100.

 Khushi said: (Sep 16, 2018) Thanks for the explanation, @Rohit.

 Ravi said: (Feb 3, 2019) Consider it a 60mts race. Since give and take policy is implied here it means all ends the race in same time. Now, A can give B a lead a 15mts in 60mts race. So dist covered by B=45mts in time A covers 60mts. So A/B = 60/45---->(1) similarly, A/C = 60/40 - - - >(2) Now, To get B/C we divide (2)/(1) We get 45/40. Conclusion ,in a race of 45mts B can give A a lead of 5mts So,in 90mts race. B can give 5*2 = 10mts lead. Hence, Ans = 10.

 Khamali Emmanuel said: (Apr 11, 2020) Please someone clarify how it comes 45/40 to 90/80?

 Sujit Roy said: (May 11, 2020) Now it is clear to me. Thanks @Ravi.

 Merawi said: (May 27, 2020) Thanks @Ravi.