Light Bulb Switching Puzzle Quiz

The video tutorial explores a problem involving 100 light bulbs, initially all off, that are switched on and off in a series of 100 passes. Each pass toggles bulbs at positions that are multiples of the pass number. The challenge is to determine how many bulbs remain on after all passes. The solution reveals that bulbs with an odd number of factors, specifically perfect squares, remain on. The tutorial provides a detailed explanation of the switching process, factors, and the significance of perfect squares in solving the problem.

What is the initial state of all the light bulbs before any passes?

• All are on

• All are off

• Randomly on and off

• Half are on, half are off

During the second pass, which bulbs are switched?

• Every bulb

• Only the first bulb

• Every third bulb

• Every second bulb

What is the main question posed about the light bulbs after 100 passes?

• How many bulbs are replaced?

• How many bulbs are off?

• How many bulbs are on?

• How many bulbs are broken?

What determines if a bulb will be switched during a pass?

• If its number is odd

• If its number is a prime

• If its number is even

• If its number is a multiple of the pass number

What is unique about the bulbs that remain on after all passes?

• They have an odd number of factors

• They are even numbers

• They have an even number of factors

• They are prime numbers

Which type of numbers have an odd number of factors?

• Odd numbers

• Perfect squares

• Even numbers

• Prime numbers

What is the pattern observed in the sequence of numbers that remain on?

• They are all odd

• They are all even

• They are perfect squares

• They are multiples of 10

How many perfect squares are there between 1 and 100?

• 5

• 20

• 10

• 15

Which of the following is a perfect square?

• 30

• 20

• 15

• 25

What is the largest perfect square less than or equal to 100?

• 99

• 100

• 90

• 81