Question
If the symbol [x] denotes the greatest integer less than or equal to x, then the value of :
$$\left[ {\frac{1}{4}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{1}{{50}}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{2}{{50}}} \right]$$ $$ + $$ $$....$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{{49}}{{50}}} \right]$$
$$\left[ {\frac{1}{4}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{1}{{50}}} \right]$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{2}{{50}}} \right]$$ $$ + $$ $$....$$ $$ + $$ $$\left[ {\frac{1}{4} + \frac{{49}}{{50}}} \right]$$
Answer: Option C
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