(Q). If x(y!) is completely divisible by 5¹⁵ & x is a single digit number. then find the minimum & maximum value of y.
Solution:- To find the minimum value of y ➪
Since x is a single digit number & we have to find the minimum value of y:
So take x as 3
now we are to find minimum value of y such that y! is completely divisible by 5¹⁴
Hence minimum value of y should be 60. Answer
Now to find maximum value of y:
take value of x as any single digit number except 5
Hence maximum value of y = 69 Answer