Leda is grouping 895 dimes into rolls of 10 dimes. How many rolls will she have? How many extra dimes will there be? A. 8 rolls, 5 extra dimes

B. 40 rolls, 5 extra dimes

C. 89 rolls, 5 extra dimes

D. 800 rolls, 9 extra dimes

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18