The least number of squares to be added in the figure to make AB a line of symmetry is
Topic-wise GATE CS PYQs with verified steps
GATE CSE 2024 Set 1 · Q10
Time

Select one answerSingle correct
Solution
Official answer: A) 6
Spatial AptitudeFor the horizontal line to be a line of symmetry, every square on one side of must have a corresponding symmetric mirror image on the opposite side of .
Analysis of the given figure:
Above line : There is square.
Below line : There are squares.
Finding the required additions:
The square above line does not have a mirror-image square below . Thus, square must be added below .
The squares below line do not have corresponding mirror-image squares above . Thus, squares must be added above .
Total squares to be added:
Therefore, the least number of squares to be added is 6, which corresponds to option (A).
Try the question first, then check your work.
Examiner trap
Reflect all squares across the line and count how many mirror positions are currently unoccupied.
This Spatial Aptitude previous year question is Q10 of the GATE CSE 2024 Set 1 paper. Find more GATE CSE PYQs on Spatial Aptitude in General Aptitude, or browse all GATE CSE PYQs.
Free diagnostic
Take the 20-minute diagnostic: the 3 topics that cost you the most marks, and a rank range. Or sit 5 related Spatial Aptitude PYQs now with no account.
An official question by email at 7 AM IST, with a link to its verified solution. Unsubscribe in one click.
Spatial Aptitude has 16 GATE CSE PYQs across 9 papers from 2017 to 2026. 10 of them are 2-mark MCQs like this one, and GATE CSE 2024 Set 1 has 2.
How GATE tests Spatial AptitudeIndependent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.