The greatest integer `n` such that `(35)` divides `2007!` is

Let N be the integer next above (sqrt3+1)^(2018) . The greatest integer ‘p’ such that (16)^(p) divides N is equal to:

Greatest integer function

The least positive integer n such that 2 divides n,3 divides n+1,4 divides n+2,5 divides n+3 and 6 divides n+4 is

Greatest Integer Function

Greatest Integer Function