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Question

Mathematics Question on Sequence and series

Let S(n)S(n) denote the sum of the digits of a positive integer n. e.g. S(178)=1+S(178)=1+ 7+8=16.7+8=16 . Then, the value of S(1)+S(2)+S(3)++S(99)S(1)+S(2)+S(3)+\ldots+S(99) is

A

476

B

998

C

782

D

900

Answer

900

Explanation

Solution

S(1)+S(2)+S(3)++S(99)=S(1)+S(2)+S(3)+\ldots+S(99)= Sum of digits of counting numbers 1 to 99 .