MathDB

30

Part of 2003 National Olympiad First Round

Problems(1)

P30 [Number Theory] - Turkish NMO 1st Round - 2003

Source:

5/31/2014
If the sum of digits in decimal representaion of positive integer nn is 111111 and the sum of digits in decimal representation of 7002n7002n is 990990, what is the sum of digits in decimal representation of 2003n2003n?
<spanclass=′latex−bold′>(A)</span> 309<spanclass=′latex−bold′>(B)</span> 330<spanclass=′latex−bold′>(C)</span> 550<spanclass=′latex−bold′>(D)</span> 555<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 309 \qquad<span class='latex-bold'>(B)</span>\ 330 \qquad<span class='latex-bold'>(C)</span>\ 550 \qquad<span class='latex-bold'>(D)</span>\ 555 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}