Question

If $N$ is any four digit number say $x$${}_1,x_2,x_3,x_4$, then the maximum value of $\frac{N}{x_1+x_2+x_3+x_4}$ is equal to

• A. $1000$
• B. $\frac{1111}{4}$
• C. $800$
• D. None of these

Answer 1

The correct option is A $1000$

No. will be max when denominator minimizes.

$\therefore Minvalueofdenominator=1$

$\therefore x_1=1,x_2=0,x_3=0,x_4=0$

$\therefore \frac{1000}{1+0+0+0}=1000$