Jokers always lie. Clowns always tell the truth. A group of four, each of whom is a Joker or a Clown, make the following statements about each other: P says, 'Q always lies'; Q says, 'R always lies'; R says, 'P always tells the truth'; S says, 'Exactly two of P, Q and R are Jokers'. How many of P, Q, R and S are Clowns?
Select one option, then click Submit.
0
1
2
3
4
Select an option, then submit.
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Challenge (2024)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Challenge (2024)