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2016 Math Kangaroo

Problem 15

Problem 15 · 2016 Math Kangaroo Medium
Spatial & Visual Reasoning cube-viewsspatial-reasoning
Figure for Math Kangaroo 2016 Problem 15
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Answer: A — View A
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Hint 1 of 2
The solid is a fixed chain of cubes; rotating it cannot change its connections.
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Hint 2 of 2
Find the option whose arrangement is not a rotation of the given solid.
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Approach: match each view to a rotation of the solid
  1. Each view must be a rotation of the one given solid.
  2. Four options are rotations of it, but option (A) has a connection pattern that no rotation produces.
  3. So the view that cannot be obtained is (A).
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