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Non-verbal Reasoning · Question 13 of 65

A mirror is set up along MN, just right of this grid in which 8 squares are shaded.

Question 13

MediumOriginal question

A mirror is set up along MN, just right of this grid in which 8 squares are shaded. Which figure is the image in the mirror?

A 5 by 5 grid with 8 shaded squares, at (row, column) counted from the top-left: (1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 2). A vertical mirror line MN is drawn just to the right of the grid.
Options for question 13

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. A mirror standing along MN, to the right of the grid, swaps left and right but not top and bottom: a square in column c moves to column 6−c6 - c and stays in its row.

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

  3. Figure 3 shows exactly these squares.

Worth noting

Figure 1 is the water image (top and bottom swapped), Figure 2 is the grid turned upside down, and Figure 4 is the grid given a quarter turn. A mirror never turns a figure; it only flips it.

Concept
Mirror image in a vertical mirror
Typical time
70 s
Your time
—
The rule this testsMirror and water images
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