GATE IN topic:spatial-aptitude PYQs & Answers

Questions 1–10 of 16. 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 Instrumentation Engineering question 2

Your answerChoose one option.

Diagram for Instrumentation Engineering question 2 (figure 2)

Diagram for Instrumentation Engineering question 2 (figure 3)

Diagram for Instrumentation Engineering question 2 (figure 4)

Diagram for Instrumentation 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 Instrumentation 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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Circles

, and

, with centers

, and

, and radii

, and

, respectively, touch each other as shown in the following figure. Given

cm,

cm and the angle

_____ cm.

Diagram for Instrumentation Engineering question 10

Your answerChoose one option.

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The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?

Note: The figures shown are representative.

Diagram for Instrumentation Engineering question 4

Your answerChoose one option.

Diagram for Instrumentation Engineering question 4 (figure 2)

Diagram for Instrumentation Engineering question 4 (figure 3)

Diagram for Instrumentation Engineering question 4 (figure 4)

Diagram for Instrumentation Engineering question 4 (figure 5)

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The diagram below shows a river system consisting of 7 segments, marked P, Q, R, S, T, U, and V. It splits the land into 5 zones, marked Z1, Z2, Z3, Z4, and Z5. We need to connect these zones using the least number of bridges. Out of the following options, which one is correct?

Note: The figure shown is representative.

Your answerChoose one option.

Bridges on P, Q, and T

Bridges on P, Q, S, and T

Bridges on Q, R, T, and V

Bridges on P, Q, S, U, and V

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Seven identical cylindrical chalk-sticks are fitted 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.

Figure A:

Diagram for Instrumentation Engineering question 9

Figure B:

Diagram for Instrumentation Engineering question 9 (figure 2)

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

Your answerChoose one option.

Diagram for Instrumentation Engineering question 9 (figure 3)

Diagram for Instrumentation Engineering question 9 (figure 4)

Diagram for Instrumentation Engineering question 9 (figure 5)

Diagram for Instrumentation Engineering question 9 (figure 6)

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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?

Diagram for Instrumentation Engineering question 5

Your answerChoose one option.

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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 re-oriented 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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GATE IN topic:spatial-aptitude PYQs

How to practice topic:spatial-aptitude

Question 2

Question 7

Question 10

Question 4

Question 10

Question 7

Question 9

Question 10

Question 5

Question 10