Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2016 · Marks: · Difficulty:
When a ball bounces, it rises to $\frac{2}{3}$ of the height from which it fell. If the ball is dropped from a height of 36 m, how high will it rise at the third bounce?
(a)$10 \frac{1}{3} \mathrm{m}$
(b)$10 \frac{2}{3} \mathrm{m}$
(c)$12 \frac{1}{3} \mathrm{m}$
(d)$12 \frac{2}{3} \mathrm{m}$
Answer
Answer (as printed): B
Explanation
Ball is dropped from the height of 36m when the ball will rise at the third bounce $$\begin{aligned} \text { Required height } & =\frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times 36 \\ & =\frac{32}{3}=10 \frac{2}{3} \mathrm{m} . \end{aligned}$$