GATE CH topic:spatial-aptitude PYQs & Answers

Questions 1–10 of 14. Imported answers require independent review unless marked reviewed.

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

Diagram for Chemical Engineering question 2

Your answerChoose one option.

Diagram for Chemical Engineering question 2 (figure 2)

Diagram for Chemical Engineering question 2 (figure 3)

Diagram for Chemical Engineering question 2 (figure 4)

Diagram for Chemical 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 Chemical 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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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 ________

Diagram for Chemical Engineering question 8

Your answerChoose one option.

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As shown in the figure, circle

with center

and radius

touches the square

at points

and

while circle

with center

and radius

touches the square

at points

and

. The two circles touch each other at

Given

cm and

cm,

____ cm.

Diagram for Chemical Engineering question 10

Your answerChoose one option.

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The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence as IV? I II III IV ?

Diagram for Chemical Engineering question 5

Your answerChoose one option.

Diagram for Chemical Engineering question 5 (figure 2)

Diagram for Chemical Engineering question 5 (figure 3)

Diagram for Chemical Engineering question 5 (figure 4)

Diagram for Chemical Engineering question 5 (figure 5)

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A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K).

Which one of the following options displays the color codes that are consistent with the color model?

Your answerChoose one option.

Diagram for Chemical Engineering question 8 (figure 2)

Diagram for Chemical Engineering question 8 (figure 3)

Diagram for Chemical Engineering question 8 (figure 4)

Diagram for Chemical Engineering question 8 (figure 5)

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An object is said to have an

-fold rotational symmetry if the object, rotated by an angle of

, is identical to the original.

Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen?

Note: The figures shown are representative.

Your answerChoose one option.

Diagram for Chemical Engineering question 10 (figure 2)

Diagram for Chemical Engineering question 10 (figure 3)

Diagram for Chemical Engineering question 10 (figure 4)

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A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.

The given figure consists of 16 unit squares arranged as shown. In addition to the three black squares, what is the minimum number of squares that must be colored black, such that both PQ and MN form lines of symmetry? (The figure is representative)

Your answerChoose one option.

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Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.

Your answerChoose one option.

circle

regular octagon

regular pentagon

rhombus

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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 CH topic:spatial-aptitude PYQs

How to practice topic:spatial-aptitude

Question 2

Question 7

Question 8

Question 10

Question 5

Question 8

Question 10

Question 5

Question 10

Question 5