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Weekly Problem 22 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1

The following sequence continues indefinitely:

27 = 3 x 3 x 3
207 = 3 x 3 x 23
2,007 = 3 x 3 x 223
20,007 = 3 x 3 x 2223.......

Which of the following integers is a multiple of 81?

A: 200,007
B: 20,000,007
C: 2,000,000,007
D: 200,000,000,007
E: 20,000,000,000,007

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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