Computer Sciences > GATE 2026 SET-2 > Spatial Aptitude
A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?
A
i
B
ii
C
iii
D
iv

Correct : c

To find the correct missing part, we need to carefully examine the exact shape of the white negative space in Panel I, as this is the exact hole the missing black piece must perfectly fill.
Let''s break down the key features of this white space by tracing its "arms" extending from the central vertical trunk:
1. Top-Left: The white space forms an ''L'' shape pointing upwards and to the left.
2. Top-Right: The white space forms an ''L'' shape pointing upwards and to the right.
3. Bottom-Left: At the very bottom, there is a horizontal white arm extending to the left.
4. Middle-Right (The Key Feature): Look closely at the right side of the white space. Just below the top-right ''L'' shape, there is a small black block, and below that, a clear "peninsula" of white space extending to the right. This means our missing shape must have a prominent middle-right arm to fill this gap.
Now let''s evaluate the options in Panel II based on these features:
- Options (i) and (iii): If you look at the right side of their central trunks, they are perfectly straight. They completely lack the necessary middle-right arm to fill the gap in Panel I. βœ— Eliminate (i) and (iii).
- Options (ii) and (iv): Both of these shapes have the required middle-right arm. βœ“ Keep (ii) and (iv).
To decide between the final two, look at the vertical position of that middle-right arm. In Panel I, the black block separating the top-right white arm from the middle-right white arm is relatively thin. This means these two right-pointing arms should be close together vertically.
- In Option (iv), the middle-right arm is positioned lower down the trunk, creating a large gap.
- In Option (ii), the middle-right arm is positioned higher up, closer to the top-right arm. This perfectly matches the precise proportions and spacing of the white negative space in Panel I.
Correct Answer: Option (ii)

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