GATE 2021 AG – Question 7

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

Each inner square joins the midpoints of the next larger square. The outer square has side10 cm. Find the smallest shaded square area in cm².

12.50
6.25
3.125
1.5625

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Show answer and explanation

Correct answer: (C) 3.125

Explanation

Joining adjacent side midpoints halves a square’s area. The figure contains five such reductions from the outer100 cm² square to the shaded centre:100,50,25,12.5,6.25,3.125. Hence **3.125 cm²,C**. Count reductions, not just upright squares.

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