2. 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
Solution
C

Each time she completes a set of five jumps, Kanga moves forward 9 places on the number line. Since she started at 0 , this means she will eventually land on $9 \times 9=81$. Her next set of jumps will take her to $84,87,88,89$ and 90 . Therefore, of the numbers given, the only one Kanga will land on is 84 .