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2015 Math Kangaroo

Problem 2

Problem 2 · 2015 Math Kangaroo Easy
Spatial & Visual Reasoning spatial-reasoningtransformations
Figure for Math Kangaroo 2015 Problem 2
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Answer: C
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Hint 1 of 2
On the real umbrella the eight letters of KANGAROO appear in one fixed cyclic order around the rim.
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Hint 2 of 2
Pick the front letter of each pictured umbrella and read the neighbours left and right; the order around the rim must always match KANGAROO (just rotated).
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Approach: check the cyclic order of letters around each umbrella
  1. Around the rim the letters always follow the same circular sequence K-A-N-G-A-R-O-O (the umbrella can only be turned, not rearranged).
  2. Four of the pictures show that exact cyclic order, just rotated to a different front panel.
  3. Picture C has the letters in an order that cannot be obtained by turning the umbrella, so it is the one that does not show the umbrella.
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