Question

Let $f\left(n\right)=[\frac{1}{2}+\frac{n}{100}]$ where [x] denotes the integral part of x. Then the value of ${\sum }_{n=1}^{100}f\left(n\right)$ is?

• A. 50
• B. 51
• C. 1
• D. None of these

Answer 1

The correct option is B 51

For all the values of n < 50, f(n) = 0
And for all the $n\ge 50,f\left(n\right)=1.$ Hence, 51 such values are there.