JEE Advanced 2020 Concept Recapitulation Test 3 Paper 2

Let X be the set of three digit numbers, which when divided by its sum of its digits give maximum value and Y be the set of all possible real values of a for which the x3−3ax2+3(298a+299)x−2 =0 have a positive point of maxima, then the number of elements in X∩Y, is