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?

Show answer
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.
Show solution
Approach: the tallest has no arrow leaving it
- An arrow leaving a person means someone is taller, so the tallest person has no arrow pointing away from them.
- Checking each person, only person C has every nearby arrow pointing in and none leaving.
- So person C is the tallest.
Mark:
· log in to save