The Locker Riddle

The video presents a puzzle involving 100 lockers and relatives, where the goal is to determine which lockers remain open after a sequence of opening and closing actions based on factorization. The key to solving the puzzle lies in understanding that lockers with odd numbers of factors, specifically perfect squares, remain open. The final challenge involves deciphering a clue related to prime numbers to unlock a vault.

What is the main task assigned to each relative in the locker puzzle?

• To open only prime-numbered lockers

• To open all lockers

• To close all lockers

• To open or close lockers based on their assigned number

What is factorization in mathematics?

• The process of adding numbers

• The process of breaking down numbers into their factors

• The process of dividing numbers

• The process of multiplying numbers

Which type of numbers have an odd number of factors?

• Composite numbers

• Perfect squares

• Even numbers

• Prime numbers

How many perfect square numbers are there between 1 and 100?

• 10

• 20

• 5

• 15

What is the significance of lockers being touched only twice?

• They are closed by the last relative

• They are never opened

• They are opened by the first relative

• They represent prime numbers

Which of the following is a prime number?

• 11

• 9

• 6

• 4

What is the key to solving the locker puzzle?

• Mastery of geometry

• Mastery of addition

• Mastery of subtraction

• Mastery of factorization