Question 1

A standard die is placed on a table. The face showing 6 is on top, and the face showing 3 is facing you. Which number is on the bottom face of the die?

Accepted Answer

On a standard die, opposite faces always sum to 7. If 6 is on top, then 1 is on the bottom. If 3 is facing you (front), then 4 is facing away (back). The remaining faces 2 and 5 are on the left and right sides.

Question 2

A standard die has opposite faces summing to 7 (1 opposite 6, 2 opposite 5, 3 opposite 4). If you roll the die and see face 2 on top, which face is facing you (front)?

Accepted Answer

This question tests understanding of a standard die's properties and spatial orientation.

Question 3

A rectangle is divided by one diagonal line and one horizontal line, creating four regions. Which shape is embedded in the upper-left region?

[Rectangle with diagonal from top-left to bottom-right and horizontal line through middle. Upper-left region is a triangle.]

What is the embedded figure in the upper-left region?

Accepted Answer

This question tests the ability to identify the geometric shape formed in a specific region when a larger figure is divided by intersecting lines.

Question 4

A large circle contains a square, and the square contains a smaller circle inside it. Which figure is embedded within the square?

[Large circle with a square inscribed in it. Inside the square is a smaller circle.]

Identify the embedded figure within the square:

Accepted Answer

This question tests the ability to identify a specific shape that exists within a particular region of a nested figure composition.

Question 5

A hexagon is divided into 6 equal triangular sections by lines drawn from the center to each vertex. Which shape is embedded in the hexagon?

[Regular hexagon with 6 lines from center to each vertex, creating 6 triangular sections.]

What is the embedded figure?

Accepted Answer

This question assesses the ability to recognize the component shapes that make up a larger figure when it is systematically divided.

Question 6

Study the 3×3 matrix below where each cell contains a shape with a specific number of sides. Identify the pattern and find the missing figure.

How many sides should the missing figure have?

Accepted Answer

Each row increases the number of sides by 1 as you move from left to right. Each column also increases the number of sides by 1 as you move from top to bottom. The missing figure is at Row 3, Column 3.

Question 7

In the figure matrix below, shapes transform according to a rule. Observe the pattern and find the missing figure.

What should replace the question mark?

Accepted Answer

Each row contains the same shape in three states: fully filled, half-filled, and empty. The third row follows the same pattern with triangles.

Question 8

Study the 3×3 figure matrix where each cell contains a combination of shapes. Find the pattern and identify the missing figure.

What should replace the question mark?

Accepted Answer

The number of circles increases by 1 as you move left to right in each row. The number of squares increases by 1 as you move top to bottom in each column. The missing cell is Row 3, Column 3.

Question 9

In the figure matrix below, each row and column follows a specific pattern. Identify the missing figure.

| ◆ | ◆◆ | ◆◆◆ |
| ◆◆ | ◆◆◆ | ◆◆◆◆ |
| ◆◆◆ | ◆◆◆◆ |   ?   |

How many diamonds (◆) should the missing figure contain?

Accepted Answer

Each cell contains a number of diamonds equal to the sum of its row number and column number. For Row 3, Column 3: 3 + 3 = 6 diamonds.

Question 10

In the figure matrix below, a pattern is followed in each row. Find the missing figure in place of the question mark.

What should replace the question mark in Row 1?

Accepted Answer

The pattern in each row repeats the same sequence of three shapes cyclically. In Row 1, the sequence is Circle → Square → Triangle, repeating three times. The missing figure is the third shape in the cycle.

Question 11

A cube has faces numbered 1 to 6. Face 1 is opposite to face 6, and face 2 is opposite to face 5. When face 3 is on top, which face is at the bottom?

Accepted Answer

This question tests understanding of opposite faces on a cube using given constraints.

Question 12

A die shows faces with dots: 1, 2, 3, 4, 5, and 6. If faces with 1 and 6 dots are opposite, and faces with 2 and 5 dots are opposite, how many dots are on the face opposite to the face with 3 dots?

Accepted Answer

This question tests the ability to identify opposite faces on a standard die using given information.

Question 13

A cube has six faces painted with colors: Red, Blue, Green, Yellow, Orange, and Purple. Red is opposite to Blue. Green is opposite to Yellow. If Orange is on top, which color is at the bottom?

Accepted Answer

This question tests logical deduction of the third opposite pair when two pairs are given.

Question 14

How many squares of all sizes are present in a 4×4 grid?

[A 4×4 grid of small squares is shown]

Accepted Answer

This question tests the formula-based counting of nested squares at multiple scales within a rectangular grid.

Question 15

A cube is unfolded into a net. The net shows: a central square with four squares attached to its four sides, and one square attached to the top of the upper square. If the central square is marked 'A', the square to its right is 'B', the square above it is 'C', the square to its left is 'D', the square below it is 'E', and the remaining square is 'F' (attached above C), then when the cube is folded, which face is opposite to face A?

Accepted Answer

This question tests the ability to visualize a cube net and determine opposite faces after folding. It requires spatial reasoning to track which faces meet at edges and which end up opposite.

Question 16

A cube has six faces. On one face, a circle is drawn; on the opposite face, a square is drawn; on another face, a triangle is drawn. When the cube is unfolded into a net, which of the following configurations is IMPOSSIBLE?

Accepted Answer

This question tests understanding of cube geometry, specifically the spatial relationship between opposite faces and adjacent faces in a cube net.

Question 17

A standard die has opposite faces summing to 7. A die is placed on a table with 3 on top. It is then rolled to the right three times in succession. After these three rolls, what is the sum of the numbers on the top and bottom faces?

Accepted Answer

This question tests understanding of die rolling mechanics and the ability to track face positions through multiple sequential rolls in the same direction.

Question 18

A cube has faces labeled 1, 2, 3, 4, 5, 6 such that: 1 is opposite 6, 2 is opposite 5, and 3 is opposite 4. The cube is positioned with face 1 on top and face 2 facing north. The cube is rolled northward (in the direction face 2 is facing) once, then rolled eastward once. After these two rolls, which face is on top?

Accepted Answer

This question tests sequential rolls in specified compass directions and the ability to track which face ends up on top after multiple operations.

Question 19

A cube has faces numbered 1 to 6. When face 1 is on top and face 2 is facing you, face 3 is on your right. If the cube is rolled forward (away from you) once, then rolled to the right once, what face is now facing you?

Accepted Answer

This question tests the ability to track cube rotations in 3D space through sequential operations and maintain spatial orientation.

Question 20

An unfolded net of a cube shows: Face A is opposite to Face B, Face C is opposite to Face D, and Face E is opposite to Face F. When the net is folded, if Face A is on top and Face C is facing north, which face is facing south?

Accepted Answer

This question tests understanding of cube nets and opposite face relationships, requiring spatial visualization of 3D folding.

IBPS Clerk Non-Verbal Reasoning Questions

IBPS Clerk Non-Verbal Reasoning — Past Exam Questions

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