Question

On dividing 55,390 by 299 the remainder is 75. The quotient is

• A. 195
• B. 185
• C. 175
• D. 193

Answer 1

The correct option is B 185

It is given that the dividend is $55390$, divisor is $299$ and the remainder is $75$.

Let the quotient be $x$.

We know that

Dividend = Divisor × quotient + remainder

Therefore, by substituting the values, we have,

$55390=299\times x+75$

$\Rightarrow 55390=299x+75$

$\Rightarrow 299x=55390-75$

$\Rightarrow 299x=55315$

$\Rightarrow x=\frac{55315}{299}$

$\Rightarrow x=185$

Hence, the quotient is $185$.