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2009 Math Kangaroo

Problem 14

Problem 14 · 2009 Math Kangaroo Stretch
Spatial & Visual Reasoning sequence-of-figures
Figure for Math Kangaroo 2009 Problem 14
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Answer: B
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Hint 1 of 2
No two rings link as a pair, yet all three hold together — cutting any one frees the others.
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Hint 2 of 2
Look at the crossings: each ring must go over the next and under the one after, all the way around.
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Approach: identify the true Borromean crossing pattern
  1. Borromean rings have no two rings linked, but the three are inseparable as a set.
  2. That requires each ring to alternate over-then-under at its crossings, all around the cycle.
  3. Only diagram B shows this consistent alternating pattern.
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