ABC26GN5114 · Races and Games of Skill

Subject: General Aptitude · Chapter: Races and Games of Skill · Exam: 2004 · Marks: · Difficulty:

In a kilometre race, A beats B by 100 m and B beats C by 150 m. In the same race, by how many metres does A beat C?

(a)225 m

(b)235 m

(c)240 m

(d)250 m

Answer

Answer (as printed): B

Explanation

$A: B=1000: 900$ and $B: C=1000: 850$. $\frac{A}{C}=\frac{A}{B} \times \frac{B}{C}=\frac{1000}{900} \times \frac{1000}{850}=\frac{1000}{765} \Rightarrow A: C=1000: 765$. $\therefore A$ beats $C$ by $(1000-765) \mathrm{m}=235 \mathrm{m}$.

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