question_answer

\[f(x)=\left\{ \begin{matrix}    \{x\}, & [x]\,\text{is}\,\text{odd}  \\    1-\{x\}, & [x]\,\text{is}\,\text{even}  \\ \end{matrix} \right.\] [.] denotes greatest integer function and {.} denotes fractional part function, then area bounded by \[y=f(x),\,x\in [0,\,5]\] and \[x\]-axis is

A)  2                                            

B)  3

C)  5/2                                       

D)  5

Correct Answer: C

Solution :

Area  \[=5\times \frac{1}{2}\times 1\times 1=\frac{5}{2}\] square units