In the command hospital Lucknow the sum ...

In the command hospital Lucknow the sum of the ages of all the 29 people i.e, physicians, surgeons and nurses is 696. If the age of each physician, each surgeon and each nurse be 1 year, 6 years and 3 years more, then the average age of the whole staff would have been 3 years more. If the number of surgeon is a square root of a two digit number which is also a perfect cube, then the number of nurses in the hospital is :

none of these

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