How can we find how many levels of a particular hierarchy exists?

It depends on how you want to use this info.
For example if it is in a client logic a query like

{
  list(func: uid(0x6241ae)) @recurse @normalize{
    name:name
    subsidiary 
  }
}

will return (in my case I have A->B->C)

{
  "data": {
    "list": [
      {
        "name": [
          "A",
          "B",
          "C"
        ]
      }
    ]
  },

With that, data["list"][0]["name"].length corresponds to the depth of the traversal.

More details needed to see if variables and math function could help you too…

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