GATE 2022 ES – Question 4

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

The figure is a 4×4 grid of unit squares with the unshaded cell representing a hole. How many squares can be formed using the unit cells without a hole in their interior?

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Correct answer: (B) 20

Explanation

There are 15 available unit squares. Of the nine 2×2 blocks, four contain the missing interior cell, leaving five. All four 3×3 blocks and the 4×4 block contain it. Thus the total is 15+5=**20, B**.

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