UKMT Grey Kangaroo, 2022

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

Kanga likes jumping on the number line. She always makes two large jumps of length 3, followed by three small jumps of length 1, as shown, and then repeats this over and over again. She starts jumping at 0. Which of these numbers will Kanga land on?

(A) $82$ (B) $83$ (C) $84$ (D) $85$ (E) $86$

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