GATE CY topic:spatial-aptitude PYQs & Answers

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topic:spatial-aptitude

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

Topic practice 15 questionsPage 1 of 2

In the sequence of tiles shown below, the missing tile indicated by the question mark should be

Your answerChoose one option.

Diagram for Chemistry question 2 (figure 2)

Diagram for Chemistry question 2 (figure 3)

Diagram for Chemistry question 2 (figure 4)

Diagram for Chemistry 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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Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such that any two corners that are connected by an edge must be of different colors. The minimum number of colors required to achieve this is ________

Your answerChoose one option.

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A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Note: The figure shown is representative.

Your answerChoose one option.

3; 4

4; 3

3; 3

3; 2

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The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The minimum number of colors required is

Your answerChoose one option.

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Three different views of a dice are shown in the figure below.

The piece of paper that can be folded to make this dice is

Your answerChoose one option.

Diagram for Chemistry question 9 (figure 2)

Diagram for Chemistry question 9 (figure 3)

Diagram for Chemistry question 9 (figure 4)

Diagram for Chemistry question 9 (figure 5)

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Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?

Your answerChoose one option.

A rhombus

A triangle

An ellipse

A hexagon

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How many rectangles are present in the given figure?

Your answerChoose one option.

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A 100 cm × 32 cm rectangular 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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A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.

What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?

Your answerChoose one option.

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GATE CY topic:spatial-aptitude PYQs

How to practice topic:spatial-aptitude

Question 2

Question 7

Question 8

Question 8

Question 2

Question 9

Question 10

Question 5

Question 10

Question 5