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Non-verbal Reasoning · Question 15 of 65

The 9 shaded squares of this grid are reflected in water lying along MN below the grid.

Question 15

MediumOriginal question

The 9 shaded squares of this grid are reflected in water lying along MN below the grid. Pick the figure that shows the reflection.

A 5 by 5 grid with 9 shaded squares, at (row, column) counted from the top-left: (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4). A horizontal water line MN is drawn just below the grid.
Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Water along MN, below the grid, swaps top and bottom but not left and right: a square in row r moves to row 6−r6 - r and stays in its column.

  2. So the shaded squares (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 4), (5, 4) (row, column) move to (1, 4), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4).

  3. Figure 1 shows exactly these squares.

Worth noting

Figure 2 is the mirror image (left and right swapped), Figure 3 is the grid turned upside down, and Figure 4 is the grid given a quarter turn. A water image flips top to bottom and nothing else.

Concept
Water image: reflection in a horizontal line
Typical time
70 s
Your time
—
The rule this testsMirror and water images
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