Question

When $40257$ is divided by $213$, the quotient is $189$, what will be the quotient when $40.257$ is divided by $0.0189$ ?

• A. $198$
• B. $2.13$
• C. $2130$
• D. $21.3$

Answer 1

The correct option is C $\left(2130\right)$

Given $\frac{40257}{213}=189$
$\Rightarrow \frac{40257}{189}=213$.....(i)

Now, we have to find: $\frac{40.257}{0.0189}$
Since, the maximum number of digits after the decimal point in both numerator and denominator is $4$
So, we will multiply by $\frac{10000}{10000}$
$=\frac{40.257}{0.0189}\times \frac{10000}{10000}$
$=\frac{402570}{189}$
$=\frac{40257}{189}\times 10$
$=213\times 10$ {from (i)]
$\therefore \frac{40.257}{0.0189}=2130$