2022/041) Find the digit X such that 9986860883748524X5070273447265625 equals $1995^{10}$

Because 1995 is divisible by 3 so all the powers $ ≥2 $ of 1995 shall be divisible by 9.

So sum of digits of the result must be divisible by 9.

We get sum of digits of given number = 160 + X.

Smallest multiple of 9 above 160 is 162 which gives X= 2 and next multiple of 9 gives X = 11.

so X = 2