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Find the value of x so that x[x[x[x]]]=88 where [x] is greatest integer function

Source: MTRP 2016 Class 11-Multiple Choice Question: Problem 14 :-

May 31, 2020
floor functionGreatest Integer Functionalgebrafunction

Problem Statement

Let ⌊x⌋\lfloor x \rfloor denotes the greatest integer less than or equal to xx. Find xx such that x⌊x⌊x⌊x⌋⌋⌋=88x\lfloor x\lfloor x\lfloor x\rfloor\rfloor \rfloor = 88
[*] π\pi [*] 3.14
[*] 227\frac{22}{7}
[*] All of these
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