GATE MN topic:spatial-aptitude PYQs & Answers

Questions 1–9 of 9. Imported answers require independent review unless marked reviewed.

To continue the sequence of tiles shown, the tile indicated by the question mark should be

Diagram for Mining Engineering question 2

Your answerChoose one option.

Diagram for Mining Engineering question 2 (figure 2)

Diagram for Mining Engineering question 2 (figure 3)

Diagram for Mining Engineering question 2 (figure 4)

Diagram for Mining Engineering question 2 (figure 5)

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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?

Diagram for Mining Engineering question 7

Your answerChoose one option.

Only (i) can correspond to the unfolded cube in Panel I.

Only (ii) can correspond to the unfolded cube in Panel I.

Both (i) and (ii) can correspond to the unfolded cube in Panel I.

Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.

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Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly appears as Figure B.

Diagram for Mining Engineering question 9

If viewed from direction Y, the planar image of the assembly (Figure A) will appear as

Your answerChoose one option.

Diagram for Mining Engineering question 9 (figure 2)

Diagram for Mining Engineering question 9 (figure 3)

Diagram for Mining Engineering question 9 (figure 4)

Diagram for Mining Engineering question 9 (figure 5)

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Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is

Your answerChoose one option.

120°

60°

90°

180°

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Consider a circle with its centre at the origin (O), as shown. Two operations are allowed on the circle.

Operation 1: Scale independently along the x and y axes. Operation 2: Rotation in any direction about the origin.

Which figure among the options can be achieved through a combination of these two operations on the given circle?

Diagram for Mining Engineering question 5

Your answerChoose one option.

Diagram for Mining Engineering question 5 (figure 2)

Diagram for Mining Engineering question 5 (figure 3)

Diagram for Mining Engineering question 5 (figure 4)

Diagram for Mining Engineering question 5 (figure 5)

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An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary wall are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.

If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery?

Your answerChoose one option.

P and Q

Q and S

R and S

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Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.

Let X, Y and Z represent the following operations:

X: rotation of the square by 180 degree with respect to the S-Q axis.

Y: rotation of the square by 180 degree with respect to the P-R axis.

Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.

Consider the following three distinct sequences of operation (which are applied in the left to right order).

(1) XZZ (2) XY (3) ZZZ

Which one of the following statements is correct as per the information provided above?

Diagram for Mining Engineering question 10

Your answerChoose one option.

The sequence of operations (1) and (2) are equivalent

The sequence of operations (1) and (3) are equivalent

The sequence of operations (2) and (3) are equivalent

The sequence of operations (1), (2) and (3) are equivalent

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The mirror image of the above text about the X-axis is

Your answerChoose one option.

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In the figure below,

is equal to ____________ .

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GATE MN topic:spatial-aptitude PYQs

How to practice topic:spatial-aptitude

Question 2

Question 7

Question 9

Question 10

Question 5

Question 5

Question 10

Question 2

Question 9