TED-Ed: Can you solve the passcode riddle? - Ganesh Pai

In a fictional scenario, a group is captured and must solve a logic puzzle to escape. Zara, known for her logical reasoning, is chosen to solve the puzzle. She receives three clues: the product of three numbers is 36, their sum matches the hallway number, and the largest number is unique. By process of elimination, the correct combination is determined to be 2, 2, 9, allowing Zara to escape. The group uses this information to escape as well, highlighting the power of logic and math.

What is the main reason Zara is chosen to attempt the escape?

• She is the strongest member of the group.

• She has perfect logical reasoning skills.

• She volunteered to go first.

• She knows the layout of the colosseum.

What is the product of the three numbers in the code Zara must find?

• 12

• 24

• 36

• 48

Why does Zara ask for the third clue?

• She was unsure about the product of the numbers.

• She wanted to ensure the numbers were in ascending order.

• She needed confirmation of the largest number.

• She forgot the hallway number.

What is the significance of the third clue?

• It confirms the sum of the numbers.

• It indicates the largest number appears only once.

• It reveals the hallway number.

• It provides the product of the numbers.

Which combination of numbers allows Zara to escape?

• 1, 6, 6

• 2, 2, 9

• 2, 3, 6

• 3, 3, 4