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Non-verbal Reasoning · Question 14 of 65

If the line MN under this grid is the surface of water, which figure is the grid's water image?

Question 14

MediumOriginal question

If the line MN under this grid is the surface of water, which figure is the grid's water image? The grid has 8 shaded squares.

A 5 by 5 grid with 8 shaded squares, at (row, column) counted from the top-left: (3, 2), (4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (5, 3), (5, 4). A horizontal water line MN is drawn just below the grid.
Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

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 (3, 2), (4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (5, 3), (5, 4) (row, column) move to (1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 2).

  3. Figure 4 shows exactly these squares.

Worth noting

Figure 1 is the mirror image (left and right swapped), Figure 2 is the grid turned upside down, and Figure 3 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
Practise this chapter →

Ten questions from Non-verbal Reasoning, at your own pace.

Practise this chapter →

Ten questions from Non-verbal Reasoning, at your own pace.