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Shape Puzzles

19 posts

Puzzle | Ways to Reach Bottom Right in 6x6 Grid

Last Updated: 19 September 2025

You begin in the top left corner of a 6x6 grid, and your objective is to move to the bottom right corner. There are just two directions you can move: right or down. Both d...read more

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Puzzle | Splitting a Cake with a Missing Piece in two equal portion

Last Updated: 19 September 2025

Three friends ordered a rectangular cake. One of them was in a hurry, so he cut a rectangular piece from the cake. The piece could be of any arbitrary size(less than the s...read more

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Aptitude-Puzzles

Puzzle | Three Squares

Last Updated: 14 April 2023

Given four sticks of length 'a' and four more sticks of length 'b'. The length of 'b' is exactly half of the length of 'a'. The task is to make three equal squares using t...read more

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Puzzle | Greek Cross And Square

Last Updated: 18 January 2023

Given a symmetrical Greek cross, the task is to cut the symmetrical Greek cross into five pieces, so that one piece shall be a smaller symmetrical Greek cross and the rema...read more

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Puzzle | Circle Division by Six Straight Lines

Last Updated: 09 October 2025

Given a Circle and Six Straight Lines. What is the maximum number of pieces that one can cut the circle using these six straight lines? Check if you were right - full answ...read more

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Puzzle | Connect 9 circles each arranged at center of a Matrix using 3 straight lines

Last Updated: 18 January 2023

Consider 9 circles each arranged at the center of cells of a 2-D matrix of shape 3*3. Draw 3 straight lines without removing pen from paper such that each of the 9 circles...read more

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Puzzle | Dividing a Square into N smaller squares

Last Updated: 06 February 2023

Puzzle: Find all values of N for which one can dissect a square into N smaller squares, and outline an algorithm for doing such a dissection. Solution: The basic point to ...read more

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Dividing the rectangle into n right-angled triangles

Last Updated: 12 July 2025

Puzzle: Find all values of n 1 for which one can divide a rectangle into n right-angled triangles.Answer:We can divide any rectangle into n right-angled triangles, for an...read more

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Puzzle | Divide a Square into 5 parts such that 4 parts among them are equal

Last Updated: 12 July 2025

Puzzle: We have to divide a square into 5 parts such that 4 parts among them are equal. The condition is that even once the pen does not get up.Solution: We can solve the ...read more

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Puzzle | Cut Blue Painted Cube

Last Updated: 01 October 2025

A solid, n-inch cube of wood is coated with blue paint on all six sides. Then the cube is cut into smaller one-inch cubes. These new one-inch cubes will have either three ...read more

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Number of Pentagons and Hexagons on a Football

Last Updated: 18 January 2023

Given a standard football, regular hexagons and pentagons are drawn on it as shown in the picture. Find out the number of hexagons and pentagons.We can apply Euler Charact...read more

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Engineering Mathematics Questions

Puzzle | Divide crescent moon into 6 parts in just two straight lines

Last Updated: 18 January 2023

Puzzle: We have to divide crescent moon in 6 parts, parts size does not matter. Only we have to cut the crescent moon in a way that it should divided into 6 parts but by u...read more

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Puzzle | 3 cuts to cut round cake into 8 equal pieces

Last Updated: 15 October 2025

A birthday cake arrives at a hotel party with eight guests eager to eat, but there’s time for only three quick straight cuts. Can the cake be divided into eight equal piec...read more

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Puzzle | Draw 4 straight line in 3*3 matrix (9 dots)

Last Updated: 18 January 2023

You have given 9 dots in the form of 2d matrix 3 * 3. Your task is to draw four straight lines without lifting the pen and no dot should be left untouched.How will you sol...read more

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Puzzle | (Square and Right angles, Up the Ladder)

Last Updated: 18 January 2023

Puzzle 1 : Square and Right angles Can you make 2 squares and 4 right angled triangles using only 8 straight lines ?Solution: This is the simple solution for the above pro...read more

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