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2021 Math Kangaroo

Problem 7

Problem 7 · 2021 Math Kangaroo Easy
Spatial & Visual Reasoning path-tracing

The 5 figures on the grid can only move in the directions indicated by the black arrows. Which figure can leave through gate G?

Figure for Math Kangaroo 2021 Problem 7
Show answer
Answer: B — B
Show hints
Hint 1 of 2
Each figure can only slide along its own arrow directions; trace whether that path reaches gate G.
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Hint 2 of 2
Follow each figure's allowed moves and see which one can actually arrive at the top gap G without an impossible turn.
Show solution
Approach: follow each figure's allowed directions to the gate
  1. Gate G is at the top edge, so a figure must be able to move up to reach it.
  2. Checking each figure's permitted arrow directions, only figure B has a route that leads out through G.
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