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Weekly Problem 48 - 2011

Challenge Level: Challenge Level:1

Which of the following three statements are true?

  1. $ 3^{10} $ is even,
  2. $ 3^{10} $ is odd,
  3. $ 3^{10} $ is a square number.

 

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.

View the previous week's solution