Engineering Sciences
GATE XE topic:spatial-aptitude PYQs
Build your understanding with focused practice from past exam papers.
How to practice topic:spatial-aptitude
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 11. Imported answers require independent review unless marked reviewed.
Question 2
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To continue the sequence of tiles shown, the tile indicated by the question mark should be
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A coin with heads facing up is shown as H and a coin with tails facing up is shown as T.
Six coins are placed in the Starting Arrangement, as shown in the figure below. A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.
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A paper shown in Panel I is folded along the dashed lines ( - - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
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A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube.
The minimum number of such cuts required is
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In the given diagram, ovals are marked at different heights (
) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill? 
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An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The cylinder can be reoriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?
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For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
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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
anticlockwise at P, and then does the following two steps in sequence exactly FIVE times before halting.moves forward for 10 cm.
turns
clockwise.The pattern made by the trace left behind by the ant is
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A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ______.
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If
is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then,
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