JEE Advanced Model Paper 9 with solutions for online practice

Question : 28 of 57

Marks: +1, -0

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