CAT 2022 Number System Question (Medium)

Question

For any real number , let be the largest integer less than or equal to . If then is

Accepted Answer

Step 1 Simplify the Expression Inside the Floor 5 25 25 --- Step 2 Determine When the Floor Function Increases We are dealing with left lfloor 25 right rfloor Compute values of where this floor value increments For to 25 1 quad Longrightarrow quad n 20 So floor 0 for to . For to 1 leq 25 2 quad Long

CAT 2022

Quantitative

Number System

Medium

For any real number $x$ , let $[x]$ be the largest integer less than or equal to $x$ . If $\sum_{n=1}^N\left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is

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