JEE Sequence And Series

A set of consecutive natural numbers from 11 to n n are written and one number is removed from it. The Arithmetic Mean of the remaining numbers is found to be 712\frac{71}{2}, then the sum of all possible value(s) of the number removed from the set is zz..

Find the value of z\lfloor \sqrt{z} \rfloor.


This Problem is inspired from a JEE 2013 Problem

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