GATE EC 2026 Set 1 — Question 3
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General Aptitude → Spatial Aptitude → 2D & 3D Patterns
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Question
The figure below has exactly three intersecting line segments with a rectangular portion missing. Which one of the following options P, Q, R, and S is the missing portion ?
📷 Figure: Answer figures P, Q, R and S
Correct answer
(D) S
Solution
Read off the six stubs that stop at the edges of the missing rectangle , and the direction each one is heading:
1.Top edge, left of centre: a line coming down from the upper left, heading down-right.
2.Top edge, right of centre: a line coming down from the upper right, heading down-left.
3.Left edge, lower half: an almost horizontal line, rising slightly to the right.
4.Right edge, upper half: an almost horizontal line, rising slightly to the right.
5.Bottom edge, near : a line going down to the lower left.
6.Right edge, near : a line going down to the lower right.
Since there are exactly three straight segments, the stubs must pair up with matching slopes:- stub 1 (down-right) continues to stub 6, leaving the rectangle at the right edge near ;
- stub 2 (down-left) continues to stub 5, leaving through the bottom edge near ;
- stub 3 continues to stub 4 as a gently rising, nearly horizontal line.
- P: the nearly horizontal line falls from left to right, and it enters high on the left edge. It does not match stubs 3 and 4.
- Q: both steep lines rise to the right; there is no line heading down-right from the top edge to .
- R: the line rising to the right ends at the right edge near , not on the top edge, and it starts in the middle of the bottom edge rather than near .
- S: the down-right line runs from the top edge to , the down-left line runs from the top edge to the bottom near , and the third line rises gently from the lower left to the right. All six stubs continue correctly.
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