JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

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:

View answer and explanation

Correct option: D

1399

Option D (1399) is correct because by evaluating the function for different ranges of n and summing the results, we arrive at the value 1399.

More Questions from FUNCTIONS

Practice All Chapter MCQs →

f:(-\infty, 2] \longrightarrow(-\infty, 4]

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}