Mahindra Placement Papers 2025 – Spatial Reasoning Section- Set-1

Spatial Reasoning Practice Questions

Spatial Reasoning Practice Questions

Question 1: Paper Folding

A sheet of paper has been folded. How will it appear when opened?

Answer Figures:

(1)
(2)
(3)
(4)
A. 2
B. 1
C. 3
D. 4
Solution:
Answer: B. 1

To solve this problem, we need to follow the paper folding process shown in the figure and determine how it will appear when unfolded.

In the first step, the paper has a diagonal line from the top-left to bottom-right. This represents the fold line.

After the folding steps are completed and the paper is opened, the triangular shape will have a clear crease along the original fold line, which matches option (1).

Option (2) shows an additional vertical crease which is not created in the folding process shown.

Option (3) shows a dotted line that doesn’t match the fold pattern.

Option (4) shows a small line segment that doesn’t correspond to any fold in the original sequence.

Therefore, option B (figure 1) is the correct answer.

Question 2: Counting Triangles

How many triangles are in the figure?

A. 11
B. 9
C. 10
D. 13
Solution:
Answer: C. 10

To solve this problem, we need to systematically count all triangles in the figure.

The figure is a hexagon with three internal lines creating triangular regions. Let’s count them methodically:

  1. The six small triangles formed around the perimeter of the hexagon: 6 triangles
  2. The four triangles formed by the intersection of the internal lines: 4 triangles

Total: 6 + 4 = 10 triangles

Here’s a breakdown of the triangles:

  • Small triangles: top-left, top-right, middle-left, middle-right, bottom-left, bottom-right
  • Internal triangles: upper central, lower central, left central, right central

Therefore, option C (10 triangles) is the correct answer.

Question 3: Cube Nets

Which of the following nets will form a cube when folded?

A
B
C
D
A. A and B
B. B only
C. C and D
D. A, B and D
Solution:
Answer: B. B only

To solve this problem, we need to check if each net contains exactly 6 squares and can be folded to form a cube without any overlap.

Net A: This is a T-shape with 5 squares. A cube needs 6 faces, so this net is missing one square and cannot form a complete cube.

Net B: This is a cross shape with 6 squares. When folded, each square will form one face of the cube with no overlaps, forming a complete cube.

Net C: This is a line of 6 squares. When trying to fold this, squares would overlap and it could not form a cube. A cube cannot be formed from a straight line of squares because they would need to fold in multiple directions.

Net D: This has 6 squares in an L-shape with an extension. However, when trying to fold this shape, some squares would overlap or leave gaps, making it impossible to form a perfect cube.

Therefore, only option B (the cross shape) can be folded to form a complete cube, making the answer “B only”.

Question 4: Pattern Completion

Which figure completes the pattern?

?
A
B
C
D
Solution:
Answer: A

To solve this problem, we need to identify the pattern in the sequence and determine which option continues it logically.

Looking at the sequence:

  • First figure: Two concentric circles
  • Second figure: Two concentric circles with a vertical line
  • Third figure: Two concentric circles with a vertical and horizontal line (forming a plus sign)

The pattern shows the progressive addition of lines in specific orientations:

  1. Start with concentric circles
  2. Add a vertical line
  3. Add a horizontal line
  4. The next logical step would be to add a diagonal line

Option A shows the two concentric circles with a vertical line, horizontal line, and one diagonal line (from top-left to bottom-right), which follows the pattern of adding one new line at each step.

Option B adds two diagonal lines at once, which doesn’t follow the established pattern of adding one line at a time.

Option C is missing the inner circle, which breaks the pattern.

Option D is missing both the vertical and horizontal lines that were already established in the sequence.

Therefore, option A is the correct answer as it follows the logical progression of the pattern.

Question 5: Mental Rotation

Which of the options shows the correct rotation of the 3D object below?

Original Object

After rotating 90° clockwise around the vertical axis:

A
B
C
D
Solution:
Answer: B

To solve this problem, we need to visualize how the object would look after a 90° clockwise rotation around the vertical axis.

The original object is an L-shaped 3D figure. When rotated 90° clockwise around the vertical axis:

  • The front face would move to the right side
  • The right side would move to the back
  • The back would move to the left side
  • The left side would move to the front
  • The top and bottom faces remain in the same orientation (though their shapes might appear different from our viewpoint)

Looking at option B:

  • The L-shape has been correctly rotated so that what was previously extending to the right now extends toward the back (from our viewpoint)
  • The proportions and connections between different faces are maintained correctly
  • The visible faces are consistent with what would be visible after the described rotation

Options A, C, and D show incorrect rotations, with either wrong orientations of the L-shape or incorrect connections between faces.

Therefore, option B is the correct answer as it accurately represents the object after a 90° clockwise rotation around the vertical axis.

Practice Makes Perfect!

Spatial reasoning is a skill that improves with practice. Regular exercise of your spatial visualization abilities can enhance your performance in fields like architecture, engineering, mathematics, and many scientific disciplines.