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Welcome to perplexus.info, flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems!
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> Numbers (2)> Games> Paradoxes> Riddles
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Difficulty: 3 of 5 Latest: What base? (in Just Math)
What base will make the bold text true:

Equation: 3x2-25x+66=0
It’s solutions x1=4 and x2=9 ?

Provide your reasoning.

(No Solution Yet, 2 Comments) Submitted on 2022-05-28 by Ady TZIDON   
Difficulty: 4 of 5 Bonus: It's unsolvable! (in Liars and Knights) Rating: 4.11
My friend told me this complex story. Everyone in it is either a knight, knave, or liar (more than one person can have the same status). Knights always tell truths, liars always lie, and knaves always alternate every statement.

Everyone knew the status of everyone else except for my friend (he knew nothing at first). If anyone lied about what someone said, they didnít lie about who, when, or whether they said it; they only lied about what the person said. The story goes as follows.

Aaron and Bill were talking to me.
Aaron told me what he was.
At this point, I could tell what Aaron was.
Bill told me one thing that he wasnít.
Aaron told me that Cassie was a knight.
I then could figure out what Cassie was.
Bill told me that Cassie was a knave.
I thought about this for a minute.
I soon found that the previous thing Bill said allowed me to know for sure what the last of the three people were.

What type is everyone? The puzzle is solvable.

(Solution Posted, 23 Comments) Submitted on 2004-02-02 by Tristan   
Difficulty: 4 of 5Parametric Quadratic Diophantine Dilemma (in Numbers)
Posted on 2022-05-27 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5An Integer Product (in Numbers) Rating: 5.00
Posted on 2022-05-26 by Brian Smith (Solution Posted, 7 Comments)
Difficulty: 3 of 5Wise Guy's sons (in Just Math) Rating: 4.00
Posted on 2022-05-25 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Consecutive Conclusion II (in Sequences) Rating: 5.00
Posted on 2022-05-25 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5 Queen and Bishop Query (in Games) Rating: 4.00
Posted on 2022-05-24 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Tricky Vowel Arrangement (in Shapes) Rating: 4.00
Posted on 2022-05-23 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Equally divided (in Numbers) Rating: 3.00
Posted on 2022-05-22 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5A permutation puzzle 2 (in Numbers)
Posted on 2022-05-21 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5 Card Shuffle Conclusion (in Probability) Rating: 5.00
Posted on 2022-05-20 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Only integer answers (in Just Math) Rating: 5.00
Posted on 2022-05-19 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 2 of 5Termite Termination Travail (in Science) Rating: 5.00
Posted on 2022-05-18 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Fifth Thursdays and Sundays (in Algorithms) Rating: 5.00
Posted on 2022-05-17 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Checkerboard Chance Conclusion II (in Probability) Rating: 4.00
Posted on 2022-05-16 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 4 of 5Roman Square Root Resolution (in Algorithms) Rating: 5.00
Posted on 2022-05-15 by K Sengupta (No Solution Yet, 4 Comments)

Recently Posted Solutions:
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