Cheryl's Birthday Logic Puzzle

Cheryl's Birthday Logic Puzzle

Assessment

Interactive Video

Created by

Olivia Brooks

Mathematics

7th - 12th Grade

Hard

The video discusses a viral math problem known as the 'Cheryl problem,' originating from Singapore. It involves a logic puzzle where Cheryl gives Albert and Bernard partial information about her birthday, leading them to deduce the exact date through logical reasoning. The video breaks down the problem, analyzes the logical steps, and provides a solution, highlighting the importance of logical deduction in solving such puzzles. The problem's ambiguity due to language is also discussed, suggesting that symbolic logic could offer a clearer solution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the origin of the 'Cheryl problem'?

It is a puzzle from a popular book.

It is a famous riddle from a movie.

It is a competition math problem from Singapore.

It is a viral internet meme.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who are the three characters involved in the problem?

Alice, Bernard, and Charlie

Cheryl, Albert, and Bernard

Alice, Bob, and Charlie

Cheryl, Bob, and Albert

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What information does Cheryl give to Albert and Bernard?

Albert gets the day, Bernard gets the month.

Albert gets the month, Bernard gets the day.

Both get the month.

Both get the day.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does Albert say he knows Bernard doesn't know Cheryl's birthday?

Because Albert knows the exact date.

Because the month Albert knows doesn't have a unique date.

Because Bernard told him.

Because Cheryl told him both the month and the day.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which months are eliminated based on Albert's statement?

May and August

June and July

May and June

July and August

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does Bernard deduce after Albert's statement?

He knows the exact date.

He knows the month is either July or August.

He knows the month is May.

He knows the month is June.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which date does Bernard realize must be Cheryl's birthday?

July 16

August 15

July 15

August 17

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does Albert finally know Cheryl's birthday?

Because Bernard told him.

Because he guessed correctly.

Because there is only one possible date left in July.

Because Cheryl told him the day.

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final conclusion of the problem?

Cheryl's birthday is July 16.

Cheryl's birthday is August 15.

Cheryl's birthday is July 15.

Cheryl's birthday is August 17.

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What makes this problem open to interpretation?

The lack of a clear answer.

The involvement of too many characters.

The use of ambiguous language.

The use of symbolic logic.

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