Let ( ) 1 3 3 100 n fn n é ù = + ê ú ë û , where [n] denotes the greatest integer less than or equal to n. Then ( ) 56 n 1 f n = å is equal to

Question:

Let $f(n)=\left[\frac{1}{3}+\frac{3 n}{100}\right] n$, where $[\mathrm{n}]$ denotes the greatest integer less than or equal to $n$. Then $\sum_{n=1}^{56} f(n)$ is equal to:

  1. 56

  2. 689

  3. 1287

  4. 1399


Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Online April 19, 2014

Solution:

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