Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: · Marks: · Difficulty:
At a game of billiards, $A$ can give $B 15$ points in 60 and $A$ can give $C 20$ 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
Answer (as printed): C
Explanation
$A: B=60: 45$ and $A: C=60: 40$ $$\therefore \frac{B}{C}=\left(\frac{B}{A} \times \frac{A}{C}\right)=\left(\frac{45}{60} \times \frac{60}{40}\right)=\frac{45}{40} \times \frac{2}{2}=\frac{90}{80}=90: 80 .$$ $\therefore B$ can give $C 10$ points in a game of 90.
Explanation as extracted from the printed page; notation may be imperfect.