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

Answer: Option C

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.

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