Question

Given $f\left(x\right)=\left[\frac{1}{3}+\frac{x}{66}\right]$ then $\sum _{x=1}^{66}f\left(x\right)$ is

• A. 21
• B. 23
• C. 30
• D. 66

Answer 1

The correct option is B 23

$f\left(x\right)=\frac{1}{3}+\frac{x}{66}$

$\sum _{x=1}^{66}(\frac{1}{3}+\frac{x}{66})$

$=\frac{1}{3}\times 66+1$

$=22+1$

$=23$.