GATE 2023 ST – Question 5

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 1 mark · Multiple choice

A line of symmetry divides a figure into two mirror-image parts. The figure consists of 20 unit squares. Up to five additional squares may be colored black. Which option lists the minimum squares that must be blackened to achieve two lines of symmetry?

d
c, d, i
c, i
c, d, i, f, g

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Show answer and explanation

Correct answer: (B) c, d, i

Explanation

A non-square 4×5 rectangle can have its vertical and horizontal midlines as the two reflection axes. The black square at row 4,column 3 forces its horizontal partner c and vertical partner i to be black; reflection also forces d at row 2,column 3. With c,d,i filled, every black cell has both reflected partners, while the remaining rows already match. All three are necessary. **B**.

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