GATE EE Spatial Aptitude PYQs & Answers

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

The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures P, Q, R, or S fits the missing portion indicated by ‘?’ and completes the oval and the two triangles?

Diagram for Electrical Engineering question 2

Your answerChoose one option.

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Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?

Diagram for Electrical Engineering question 5

Diagram for Electrical Engineering question 5 (figure 2)

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Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the items in Column-I.

Identify the option that has the most appropriate match between Column-I and Column-II.

Note: The figures shown are representative.

Column-I	Column-II
(1) Animals, Zebra, Giraffe	(P)
(2) Director, Producer, Actor	(Q)
(3) Word, Sentence, Novel	(R)
(4) Pianist, Guitarist, Instrumentalist	(S)

Your answerChoose one option.

(1) – (Q); (2) – (P); (3) – (S); (4) – (R)

(1) – (Q); (2) – (R); (3) – (S); (4) – (P)

(1) – (S); (2) – (P); (3) – (R); (4) – (Q)

(1) – (R); (2) – (S); (3) – (Q); (4) – (P)

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P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan.

Which one of the following arrangements suits them the most?

Your answerChoose one option.

Diagram for Electrical Engineering question 2 (figure 2)

Diagram for Electrical Engineering question 2 (figure 3)

Diagram for Electrical Engineering question 2 (figure 4)

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The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (←) or the right (→) direction.

Diagram for Electrical Engineering question 9

If the object A (Rack) is translating towards the right (→) direction, the correct statement among the following is

Your answerChoose one option.

Object B translates towards the right direction.

Object B translates towards the left direction.

Object R rotates in the anticlockwise direction.

Object Q rotates in the clockwise direction.

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How many triangles are present in the given figure?

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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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The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.

Consider the following statements:

• The line segment joining R and S is longer than the line segment joining P and Q. • The line segment joining R and S is perpendicular to the line segment joining P and Q. • The line segment joining R and U is parallel to the line segment joining T and Q.

Based on the above statements, which one of the following options is CORRECT?

Your answerChoose one option.

The line segment joining R and T is parallel to the line segment joining Q and S

The line segment joining T and Q is parallel to the line joining P and U

The line segment joining R and P is perpendicular to the line segment joining U and Q

The line segment joining Q and S is perpendicular to the line segment joining R and P

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Diagram for Electrical Engineering question 10

An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases.

Which one of the following is a part of a possible trajectory of the ant during the movement?

Your answerChoose one option.