What is the smallest number of squares that must be shaded so that the figure has a line of symmetry?

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1

3

5

7

answer is B.

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Detailed Solution

It is given figure,
Question Image

We will draw a line which divides the figure in two equal halves to find the minimum number of shaded squares we need to make the figure to have a line of symmetry.
Question Image

Line of symmetry is defined as it divides the figure into two equal mirror halves.
Upper half contains

16 \frac{1}{2}

squares and lower half contains

15 \frac{1}{2}

squares. So, by shading

1

, 2 and 3 squares as described in the following figure, we can make the figure have a line of symmetry along its diagonal.
Question Image

Hence, the correct answer is option 2.

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Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE