Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2005 · Marks: · Difficulty:
A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average amount of water displaced by one of the men be 0.1 cu. m, how many men are there in the bath?
(a)32
(b)36
(c)42
(d)46
Answer
Answer (as printed): B
Explanation
Volume of water displaced $=\left(24 \times 15 \times \frac{1}{100}\right) \mathrm{m}^{3}=\frac{18}{5} \mathrm{m}^{3}$. Volume of water displaced by 1 man $=0.1 \mathrm{m}^{3}$. $$\text { ∴ Number of men }=\left(\frac{18 / 5}{0.1}\right)=\left(\frac{18}{5} \times 10\right)=36 .$$