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2025 Math Kangaroo

Problem 21

Problem 21 · 2025 Math Kangaroo Stretch
Spatial & Visual Reasoning sequence-of-figures

The picture on the right shows a bracelet with round, square and triangular gemstones. Lisa removes three neighbouring stones, one of each shape. Which bracelet can be created?

Figure for Math Kangaroo 2025 Problem 21
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Answer: B
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Hint 1 of 2
Removing three neighbours (one circle, one square, one triangle) leaves a gap of three in the ring.
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Hint 2 of 2
Find a stretch of three adjacent stones with one of each shape, then see what remains.
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Approach: remove a valid run of three neighbouring stones
  1. Lisa removes three stones in a row, one of each shape.
  2. Locate a circle, square, and triangle sitting next to each other on the bracelet.
  3. Taking them out leaves the arrangement shown in option B.
  4. So the result is B.
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