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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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Difficulty: 3 of 5 Latest: Inradii Ratio (in Geometry)

  
Let ABCD be a parallelogram. Let the incircle of ΔABC
touch diagonal AC at point P. Let r1 and r2 be the inradii
of triangles APD and PCD respectively.

            r1     |AP| 
Prove that ---- = ------
            r2     |PC|

  
(No Solution Yet, 0 Comments) Submitted on 2014-03-08 by Bractals   
Difficulty: 2 of 5 Bonus: Integer Rep (in Numbers) Rating: 3.00
Show that for any integer n there exists integers i, j, and k such that

n = i2 + j2 - 5k2

L.E. Dickson
(Solution Posted, 2 Comments) Submitted on 2005-11-24 by Bractals   
Difficulty: 3 of 5Divide in Half (in Geometry)
Posted on 2014-03-07 by Bractals (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Chair Cue (in Logic)
Posted on 2014-03-07 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Capital City Conclusion (in General) Rating: 3.00
Posted on 2014-03-06 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Bet Brood (in Probability)
Posted on 2014-03-06 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Equilateral Crease II (in Shapes)
Posted on 2014-03-05 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5A partial deck (in Numbers)
Posted on 2014-03-05 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Prime+reversal= prime (in Numbers)
Posted on 2014-03-04 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Card game III (in Logic)
Posted on 2014-03-04 by K Sengupta (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Formula Formulation (in Just Math)
Posted on 2014-03-03 by K Sengupta (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Day-knights and night-knights 8 (in Logic)
Posted on 2014-03-03 by K Sengupta (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Minimizing Trigo value (in Numbers) Rating: 4.00
Posted on 2014-03-02 by Danish Ahmed Khan (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Heptatriangle (in Geometry)
Posted on 2014-03-01 by Bractals (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Switching Teams (in Probability) Rating: 4.00
Posted on 2014-02-28 by tomarken (No Solution Yet, 8 Comments)
Difficulty: 3 of 5Minimum Integer (in Just Math)
Posted on 2014-02-28 by K Sengupta (No Solution Yet, 4 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Current Age Conclusion (in Logic)
Submitted By K Sengupta. Solution posted on 2014-03-09 00:35:57
Difficulty: 2 of 5(p+5)/8 and (p+1)/4 = Prime Numbers (in Just Math)
Submitted By K Sengupta. Solution posted on 2014-03-09 00:28:40
Difficulty: 2 of 5Slippery Supplier (in Weights and Scales)
Submitted By K Sengupta. Solution posted on 2014-03-09 00:26:38
Difficulty: 2 of 5Progressive Pattern Poser (in Sequences)
Submitted By K Sengupta. Solution posted on 2014-03-09 00:25:11
Difficulty: 2 of 5Power Pattern Poser (in Sequences)
Submitted By K Sengupta. Solution posted on 2014-03-09 00:23:08
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