Question

IQ of a person is given by the gormula $IQ=\frac{MA}{CA}\times 100$ where MA is mental age and CA is chronological age. If $80\le IQ\le 140$ for a group of 12 years old childern, find the range of their mental age.

Answer 1

It is given that

$80\le IQ\le 140$ and CA =12

We have $IQ=\frac{MA}{CA}\times 100$

$\therefore 80\le \frac{MA}{12}\times 100\le 140$

$\Rightarrow 960\le MA\times 100\le 1680$

$\Rightarrow 9.6\le MA\le 16.8$

Thus minimum MA is 9.6 and maximum 16.8