Welcome to Gamerstactics new series Daily Brain Teasers , where we bring you fun and challenges every day with our “Daily Brain Teasers.” This would be perfect if you’re trying to sharpen your mind, Take a break from your busy routine, or just enjoy a mental break. Our daily nods are designed to stimulate your cognitive skills and keep you entertained. Every day, we’ll bring you a new block breaker that tests logic, creativity and problem-solving abilities. challenge your brain and see how quickly you can solve today’s teaser. Let’s get those neurons firing!
Before that let’s find out some introduction to today’s brain teaser!
Welcome to today’s brain teaser! This puzzle challenges you to think critically and use your reasoning skills to solve a problem involving wine bottles, poison, and testers. Imagine you are a king with 1,000 bottles of wine, and one of them is poisoned. You have 10 testers at your disposal, but they can only test a small amount of wine, and the poison works within 24 hours.
Your task is to figure out how to identify the poisoned bottle, using as few testers as possible. Are you ready to put your deduction skills to the test? Let’s see if you can solve the Poisoned Wine Puzzle!
Are you ready to put your problem-solving abilities to the test? Let’s get started!
The Poisoned Wine Puzzle
The Poisoned Wine Puzzle
You are a king with 1,000 bottles of wine, and one bottle is poisoned. You have 10 testers available to help you determine which bottle is poisoned. The poison is so deadly that it will kill within 24 hours, but only a single drop is needed to kill someone.
Question: How can you identify the poisoned bottle using the fewest testers and within 24 hours?
Solution:
This is a classic puzzle involving binary logic. The solution involves representing the bottles and testers using binary digits.
- Number the bottles from 0 to 999 (which is 1000 bottles in total).
- Each tester can represent a binary digit (0 or 1).
- For each bottle, represent the number in binary. For example, bottle #1 would be 0000000001, bottle #2 would be 0000000010, and so on.
- Each tester is assigned to a binary digit position. Tester 1 will test for the first digit (least significant), tester 2 will test for the second digit, and so on.
- If the digit for that bottle is 1, the corresponding tester drinks from the bottle; if it’s 0, they do not.
- After 24 hours, the testers who die correspond to the 1s in the binary number, and you can deduce which bottle is poisoned by looking at the binary number formed by the dead testers.
Thus, you only need **10 testers** because **2^10 = 1024**, which covers all 1000 bottles. The binary representation allows you to determine the exact poisoned bottle.
