Maths Olympiad Prep

Library / /236 of 387

, 2003

Number theory Difficulty 2.0 Junior Find the answer Canada

Let N=103+104+105+106+107+108+109N = 10^3 + 10^4 + 10^5 + 10^6 + 10^7 + 10^8 + 10^9. The sum of the digits of NN is

(A) 1212 (B) 11 (C) 66 (D) 99 (E) 77

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.