1)

If one-seventh of a number exceeds its eleventh part by 100, then the number is :


A) 770

B) 1100

C) 1825

D) 1925

E) 1800

Answer:

Option D

Explanation:

Let the number be $x$.
Then, $\frac{1}{7}x-\frac{1}{11}x=100$
$\Leftrightarrow \frac{4x}{77} = 100$
$\Leftrightarrow x = \frac{7700}{4}=1925$.