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2020 Math Kangaroo

Problem 23

Problem 23 · 2020 Math Kangaroo Stretch
Logic & Word Problems path-tracing

In the figure, an arrow pointing from one person to another means that the first person is shorter than the second. For example, person B is shorter than person A. Which person is the tallest?

Figure for Math Kangaroo 2020 Problem 23
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Answer: C — Person C
Show hints
Hint 1 of 2
An arrow goes from the shorter person to the taller one.
Still stuck? Show hint 2 →
Hint 2 of 2
The tallest person has only arrows pointing toward them and none leaving.
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Approach: the tallest has no arrow leaving it
  1. An arrow leaving a person means someone is taller, so the tallest person has no arrow pointing away from them.
  2. Checking each person, only person C has every nearby arrow pointing in and none leaving.
  3. So person C is the tallest.
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