Question

Till the age of 21, Arun grows such that his height varies as the square root of this age. When Arun is 9 years old, his height is 4 feet. What is his height at 16 years?

• A. 5 feet
• B. 5 feet 2 inches
• C. 5 feet 4 inches
• D. none of these

Answer 1

The correct option is C 5 feet 4 inches

Option (c)

Relationship given:-

$4=K\sqrt{9}\to K=\frac{4}{3}$

$H\alpha \sqrt{AH}=K\sqrt{A}$

Height of Arun at 16 years $H=\frac{4}{3}\times 4=\frac{16}{3}$ = 5 feet 4 inches