GATE 2026 ST – Question 2

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

The two shown four-tile patterns may be used any number of times and in any orientation, without overlaps. Which shown new pattern cannot be constructed?

Option A in the figure
Option B in the figure
Option C in the figure
Option D in the figure

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Show answer and explanation

Correct answer: (C) Option C in the figure

Explanation

Each allowed piece covers four tiles. Options A,B,D contain 8,12,20 tiles, and admit tilings: A by two squares, B by three four-tile rows, D by five four-tile columns. C contains 15 tiles, not divisible by four, and is impossible. **C**.

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