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Races - Quant/Math - CAT 2009
Question 4 the day:
October 10, 2003
The question for the day is from the topic of Races.
- A can give B 20 points, A can give C 32 points and B can give C 15 points. How many points make the game?
| (1) |
150 |
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(2) |
200 |
| (3) |
100 |
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(4) |
170 |
Correct Answer - (3)
Solution:
Let x points make the game, according to the statement if A has x points. Then B has (x – 20) points
B has x points, then C has (x – 15) points, if C has (x – 32), then A has x points
Hence by chain rule x * x (x – 32) = (x – 20) * (x – 15) * x
x2 – 32x = x2 – 35x + 300 => x = 100. Hence 100 points make the game.
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