Consider the following for the next two (02) items that follow :

Consider the sum 

S = 0! + 1! + 2! + 3! + 4! +... .+ 100!  

If the sum S is divided by 8, what is the remainder ?  

Consider the following for the next two (02) items that follow :

Consider the sum 

S = 0! + 1! + 2! + 3! + 4! +... .+ 100!  

If the sum S is divided by 60, what is the remainder ?

Consider the following for the next two (02) items that follow :

In a triangle POR, P is the largest angle and cosP = $\frac{1}{3}$. Further the in-circle of the triangle touches the sides PQ, QR and RP at N, L and M respectively such that the lengths PN, QL and RM are n, n + 2, n + 4 respectively where n is an integer. 

What is the value of n ? 

Consider the following for the next two (02) items that follow :

In a triangle POR, P is the largest angle and cosP = $\frac{1}{3}$. Further the in-circle of the triangle touches the sides PQ, QR and RP at N, L and M respectively such that the lengths PN, QL and RM are n, n + 2, n + 4 respectively where n is an integer. 

What is the length of the smallest side ?