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2022 Math Kangaroo

Problem 7

Problem 7 · 2022 Math Kangaroo Easy
Spatial & Visual Reasoning sequence-of-figuresgrid
Figure for Math Kangaroo 2022 Problem 7
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Answer: D
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Hint 1 of 2
For each empty cell, look at the numbers already touching it on each side.
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Hint 2 of 2
The piece must place numbers that differ from every neighbour both inside and outside the gap.
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Approach: eliminate pieces by neighbour clashes
  1. Each cell of the gap borders some already-filled cells, which forbid certain numbers there.
  2. Test each option: a piece fails if any number lands next to an equal neighbour.
  3. Only piece D avoids every clash.
  4. So the missing piece is D.
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