GATE MA topic:spatial-aptitude PYQs & Answers

Questions 1–10 of 15. Imported answers require independent review unless marked reviewed.

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

Your answerChoose one option.

Diagram for Mathematics question 2 (figure 2)

Diagram for Mathematics question 2 (figure 3)

Diagram for Mathematics question 2 (figure 4)

Diagram for Mathematics 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?

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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According to the map shown in the figure, which one of the following statements is correct?

Note: The figure shown is representative.

Your answerChoose one option.

The library is located to the northwest of the canteen.

The hospital is located to the east of the chemistry lab.

The chemistry lab is to the southeast of physics lab.

The classrooms and canteen are next to each other.

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A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded?

Note: The figures shown are representative.

Figures (I)–(IV):

Your answerChoose one option.

Diagram for Mathematics question 9 (figure 2)

Diagram for Mathematics question 9 (figure 3)

Diagram for Mathematics question 9 (figure 4)

Diagram for Mathematics question 9 (figure 5)

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Seven identical cylindrical chalk-sticks are fit tight in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.

The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

Your answerChoose one option.

5/2

7/2

9/2

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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.

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

Your answerChoose one option.

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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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In the given diagram, ovals are marked at different heights (h) of a hill. Which one of the following options P, Q, R, and S depicts the top view of the hill?

Your answerChoose one option.

Diagram for Mathematics question 5 (figure 2)

Diagram for Mathematics question 5 (figure 3)

Diagram for Mathematics question 5 (figure 4)

Diagram for Mathematics question 5 (figure 5)

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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?

Your answerChoose one option.

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The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random.

What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?

Your answerChoose one option.

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GATE MA topic:spatial-aptitude PYQs

How to practice topic:spatial-aptitude

Question 2

Question 7

Question 5

Question 9

Question 7

Question 9

Question 10

Question 5

Question 10

Question 5