Question 1

A square piece of paper is folded once along its diagonal. How many layers of paper will be visible if you look at the folded paper from above?

Accepted Answer

When a square is folded along its diagonal, one triangular half folds onto the other. From above, you see a triangular shape with 2 layers of paper stacked together.

Question 2

A circular disc is folded in half, then folded in half again (perpendicular to the first fold). A hole is punched at the centre of the folded disc. When the disc is completely unfolded, how many holes will be visible?

Accepted Answer

Two perpendicular folds of a circular disc create 4 layers at the centre point. One punch through all 4 layers creates 4 holes when unfolded.

Question 3

A rectangular paper is folded once vertically (left edge meets right edge). A straight cut is made parallel to the fold line, 2 cm away from it. When the paper is unfolded, how many cuts will be visible?

Accepted Answer

When folded vertically, the paper has 2 layers. A cut parallel to the fold line passes through both layers. Upon unfolding, the cut appears on both sides of the fold line, creating 2 separate cuts equidistant from the centre.

Question 4

A square piece of paper is folded once along its diagonal. After unfolding, how many triangular regions are created by the fold line?

Accepted Answer

When a square is folded along its diagonal, the fold line divides the square into exactly 2 equal right-angled triangles. Upon unfolding, the single diagonal crease creates 2 triangular regions.

Question 5

A rectangular piece of paper is folded in half lengthwise, then folded in half widthwise. After these two folds, a small square is cut from the corner (the corner that represents the folded intersection point). How many holes will appear on the unfolded paper?

Accepted Answer

This tests understanding of how cuts on folded paper translate to multiple holes when unfolded, accounting for layer multiplication.

Question 6

A square piece of paper is folded along its diagonal, then the resulting triangle is folded in half along its height (from the right angle to the hypotenuse). After unfolding completely, how many distinct regions are created on the original square?

Accepted Answer

This question tests the ability to mentally track fold lines and visualize how they appear when the paper is unfolded. Students must understand that each fold creates a crease line, and when unfolded, these creases divide the paper into distinct regions.

Question 7

A square piece of paper is folded diagonally once, then the resulting triangle is folded in half along its altitude from the right angle. After unfolding completely, how many distinct regions are created on the original square?

Accepted Answer

This question tests the ability to mentally track fold lines and visualize their intersection patterns when the paper is unfolded. Students must account for how each fold creates crease lines that interact with previous creases.

Question 8

A rectangular paper (length 12 cm, width 8 cm) is folded such that the top-right corner touches the bottom-left corner. The paper is then folded again along the crease created by the first fold. After two folds, a single straight cut is made perpendicular to the second fold line, 2 cm from the fold. How many separate pieces result when the paper is completely unfolded?

Accepted Answer

This tests the ability to track how multiple folds affect the number of layers at any given point and how a single cut through multiple layers creates multiple pieces upon unfolding.

Question 9

A square paper is folded in half vertically, then the resulting rectangle is folded in half horizontally. The folded paper is then folded diagonally. A small triangular piece is cut from the corner opposite to the fold lines' intersection. When completely unfolded, how many triangular pieces are removed from the original square?

Accepted Answer

This question tests spatial reasoning by requiring students to track the position of a cut through multiple nested folds and determine how many times that cut is replicated across the unfolded paper.

Question 10

A rectangular paper is folded such that the top edge aligns with the bottom edge (horizontal fold). It is then folded again so that the left edge aligns with the right edge (vertical fold). The folded paper is then folded diagonally from the top-left corner of the folded rectangle to the bottom-right corner. Two small cuts are made: one at the center of the folded paper and one at a corner. How many total cuts appear on the unfolded paper?

Accepted Answer

This tests the ability to distinguish between cuts at different positions (center vs. corner) and understand how symmetry affects the number of resulting cuts when the paper is unfolded.

Question 11

A square piece of paper is folded along its diagonal, creating a triangle. The triangle is then folded in half along the line from the right angle to the midpoint of the hypotenuse. After this second fold, a straight cut is made from the folded corner (the original right angle) to a point on the opposite edge. When the paper is completely unfolded, the cut appears as how many separate line segments?

Accepted Answer

This question tests the ability to visualize how a single cut through a multi-folded paper creates multiple line segments that may or may not be connected when unfolded, depending on the fold geometry.

Question 12

A square sheet of paper is folded diagonally from top-left to bottom-right corner, creating a triangular shape. The folded triangle is then folded again along its altitude from the right angle to the hypotenuse. After these two folds, a small equilateral triangle is cut from the folded paper such that one vertex touches the folded edge and the cut removes a portion from all visible layers. When the paper is completely unfolded, how many equilateral triangular holes appear on the original square sheet?

Accepted Answer

This question tests the ability to mentally track paper layers through sequential folds and predict the symmetrical pattern of cuts across all unfolded layers. Students must visualize: (1) the first diagonal fold creates 2 layers with specific orientation, (2) the second fold along the altitude creates 4 layers, (3) a single cut on 4 layers produces 4 corresponding holes, (4) unfolding reverses the symmetry to reveal the final pattern. The answer is 8 holes due to the combined symmetry of both folds.

IBPS RRB PO Paper Folding & Cutting

Paper Folding & Cutting— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Paper Folding & Cutting — Practice Questions

60-Second Revision — Paper Folding & Cutting