Races Question Answers

Races - Quant/Math - CAT 2008

Question 4 the day: November 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			(2)	200
(3)	100			(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.