Civil Engineering
GATE CE Spatial Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–28 of 28. Imported answers require independent review unless marked reviewed.
Question 10
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An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point P facing east.
The ant first turns 72° anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.
moves forward for 10 cm.
turns 144° clockwise.

The pattern made by the trace left behind by the ant is
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
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The mirror image of the above text about the x-axis is
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
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The mirror image of the above text about the X-axis is

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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 6
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On a planar field, you travelled 3 units East from a point O. Next you travelled 4 units South to arrive at point P. Then you travelled from P in the North-East direction such that you arrive at a point that is 6 units East of point O. Next, you travelled in the North-West direction, so that you arrive at point Q that is 8 units North of point P.
The distance of point Q to point O, in the same units, should be ______
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
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Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each.
Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.
Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.
Folding operation 1 is carried out on Sheet M three times.
Folding operation 2 is carried out on Sheet N three times.
The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is ______.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
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Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.
The value of θ, in degrees, is ______

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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 4
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After the inauguration of the new building, the Head of the Department (HoD) collated faculty preferences for office space. P wanted a room adjacent to the lab. Q wanted to be close to the lift. R wanted a view of the playground and S wanted a corner office.
Assuming that everyone was satisfied, which among the following shows a possible allocation?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 10
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Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A+B+C), (C+D+E), (E+F+G) and (G+H+K) is equal to 13. Which integer does E represent?

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