GATE ECE topic:spatial-aptitude PYQs & Answers

Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.

The figure below has exactly three intersecting line segments with a rectangular portion WXYZ missing. Which one of the following options P, Q, R, and S is the missing portion WXYZ?

Diagram for Electronics and Communication Engineering question 3

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 3 (figure 2)

Diagram for Electronics and Communication Engineering question 3 (figure 3)

Diagram for Electronics and Communication Engineering question 3 (figure 4)

Diagram for Electronics and Communication Engineering question 3 (figure 5)

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Diagram for Electronics and Communication Engineering question 10

Then

Diagram for Electronics and Communication Engineering question 10 (figure 2)

Your answerChoose one option.

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Examples of mirror and water reflections are shown in the figures below:

Diagram for Electronics and Communication Engineering question 9

Diagram for Electronics and Communication Engineering question 9 (figure 2)

An object appears as the following image after first reflecting in a mirror and then reflecting on water.

Diagram for Electronics and Communication Engineering question 9 (figure 3)

The original object is

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 9 (figure 4)

Diagram for Electronics and Communication Engineering question 9 (figure 5)

Diagram for Electronics and Communication Engineering question 9 (figure 6)

Diagram for Electronics and Communication Engineering question 9 (figure 7)

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Two identical sheets A and B, of dimensions 24 cm × 16 cm, can be folded into half using two distinct options, FO1 or FO2.

In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge.

If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is

Your answerChoose one option.

14:11

11:14

18:11

11:18

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How many rectangles are present in the given figure?

Diagram for Electronics and Communication Engineering question 5

Your answerChoose one option.

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A 100 cm × 32 cm rectangle sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100 cm × 1 cm.

The total number of creases visible when the sheet is unfolded is ______.

Your answerChoose one option.

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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 walls 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) XYZ (2) XY (3) ZZZ

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

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 least number of squares that must be added so that the line P-Q becomes the line of symmetry is ________.

Your answerChoose one option.

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Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is

Your answerChoose one option.

2 : 3

3 : 4

4 : 5

5 : 6

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GATE ECE topic:spatial-aptitude PYQs

How to practice topic:spatial-aptitude

Question 3

Question 10

Question 9

Question 10

Question 5

Question 10

Question 5

Question 10

Question 3

Question 10