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2013 Math Kangaroo

Problem 20

Problem 20 · 2013 Math Kangaroo Medium
Spatial & Visual Reasoning cube-viewsspatial-reasoningsymmetry
Figure for Math Kangaroo 2013 Problem 20
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Answer: C
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Hint 1 of 2
From the back you see the same towers but with left and right swapped.
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Hint 2 of 2
For each column build the skyline from the tallest stack visible from behind.
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Approach: read the skyline from the back (mirror left-right)
  1. Looking from the back reverses the left-right order of the four columns.
  2. For each column the visible bar height is the tallest stack in that column.
  3. The resulting skyline (heights 2, 3, 3, 4 from left to right as seen from behind) matches figure C.
  4. So Johann sees view C.
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