Question

If {x} denotes the fractional part of x, then $\left\{\frac{82\times k+2}{82}\right\}$ = $\{k+\frac{2}{82}\}$ is, where k is an integer greater than 1:

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$\left\{\frac{82\times k+2}{82}\right\}$ = $\{k+\frac{2}{82}\}$

0 < $\frac{2}{82}$ < 1

Since k is an integer and 0 < $\frac{2}{82}$ < 1, the fractional part of $\left\{\frac{82\times k+2}{82}\right\}$