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Question

Mathematics Question on Number Systems

Let SK = 1+2+...+KK\frac{1+2+...+ K}{K} and j=1nSj2=nA(Bn2+Cn+D)\displaystyle\sum_{j=1}^{n}S_j^2=\frac{n}{A}(Bn^2+Cn+D), where A,B,C,D∈N and A has least value. Then

A

A+B+C+D is divisible by 5

B

A+B is divisible by D

C

A+B=5(D-C)

D

A+C+D is not divisible by B

Answer

A+B is divisible by D

Explanation

Solution

The correct option is(B): A+B is divisible by D