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Can You Solve This 12-Ball Puzzle Interview Challenge?

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Chapter 1: The Challenge

Have you ever encountered a tricky question during an interview? This is one such example that tests your problem-solving abilities.

A visual representation of the 12-ball puzzle

The yellow ball signifies that one ball is heavier than the others. While I believe our work should primarily support our lives and those we cherish, it’s essential to prepare ourselves for career advancements. Engaging with brain teasers like this can be both enjoyable and beneficial for sharpening your mind.

I encourage you to pause here, grab some paper and a pen, and try to solve the puzzle before reading on for the solution!

Solution Steps

Step 1: Initial Weighing

Our objective is to determine the heavier ball using the scale just three times. To start, we will weigh 4 balls against another set of 4.

Weighing two groups of four balls

Case 1:

If both groups balance, the heavier ball must be among the remaining 4 balls.

Case 2:

If one side is heavier, the odd ball is in that group. Thus, we have reduced our possibilities to just 4 balls.

Step 2: Narrowing Down

Next, we can apply a similar strategy with these 4 balls. We weigh 2 from this group against the other 2.

Weighing two pairs from the remaining balls

One of these pairs will outweigh the other, indicating the heavier ball is in that group.

Step 3: Final Weighing

Lastly, we weigh the final two balls against each other.

Final comparison of the last two balls

This final weigh-in will reveal the heavier ball, marking our answer!

A Bonus Challenge

Can you tackle the same puzzle with the twist that the odd ball might be lighter or heavier, while still using the scale only three times?

Challenge image for the modified puzzle

How intriguing!

What strategies did you use this time? Feel free to share your thoughts below; I'm eager to hear them!

Chapter 2: Explore More Puzzles

For those interested in expanding their puzzle-solving skills, check out the following videos:

12 Ball Puzzle: Complete Analysis - This video provides a detailed breakdown of the 12-ball puzzle-solving process, offering insights on strategies and logical reasoning.

12 Balls Puzzle - Another engaging perspective on the classic puzzle, showcasing various methods to identify the odd ball.

If you enjoyed this puzzle, consider sharing this list of intriguing math puzzles on Medium with your friends!

Bella’s Weekly Math Games

Participate in a 48-hour math competition every week and challenge yourself to tackle engaging problems.

Thank you for taking the time to read this! If you found it helpful, don't hesitate to show your appreciation.

A thank you image for readers

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