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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: 2 of 5 Latest: Always multiple (in Just Math)
Prove that for all integer values of x,

x9 - 6x7 + 9x5 - 4x3

is an exact multiple of 8,640.

(No Solution Yet, 1 Comments) Submitted on 2008-09-07 by pcbouhid   
Difficulty: 3 of 5 Bonus: Cutting Contrives Conical Cup (in Shapes) Rating: 4.00
Out of a circular piece of paper, you wish to form a cone cup, so you cut out a circle wedge (with its extreme at the circle center) and join the resulting straight sides, forming a conical cup.

What size should the wedge be, to maximize the capacity of the cone?

(Solution Posted, 17 Comments) Submitted on 2005-04-01 by Old Original Oskar!   
Difficulty: 2 of 5Getting Floored With 28 (in Just Math)
Posted on 2008-09-06 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5Students in a tournament (in Just Math) Rating: 2.33
Posted on 2008-09-05 by pcbouhid (No Solution Yet, 6 Comments)
Difficulty: 4 of 5Checker Masks (in Word Problems)
Posted on 2008-09-04 by brianjn (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Sum SOD And Integer, Get Reversal (in Just Math)
Posted on 2008-09-03 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Doubles on reverse (in Just Math)
Posted on 2008-09-02 by pcbouhid (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Some Reals Sum Two (in Just Math)
Posted on 2008-09-01 by K Sengupta (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Prime suspect (in Calculus)
Posted on 2008-08-31 by pcbouhid (No Solution Yet, 3 Comments)
Difficulty: 4 of 5Pieces of Pi (in Cryptography)
Posted on 2008-08-30 by brianjn (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Suspects and Investigations (in Just Math) Rating: 1.00
Posted on 2008-08-29 by Praneeth (No Solution Yet, 8 Comments)
Difficulty: 4 of 5MultiSquares (in Just Math)
Posted on 2008-08-28 by brianjn (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Going Cyclic With Geometric (in Just Math) Rating: 3.50
Posted on 2008-08-27 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Square = Square + Square (in Numbers) Rating: 1.50
Posted on 2008-08-26 by brianjn (Solution Posted, 6 Comments)
Difficulty: 2 of 5Catching your enemy (in Logic) Rating: 2.00
Posted on 2008-08-25 by pcbouhid (Solution Posted, 17 Comments)
Difficulty: 2 of 5Trisecting an angle (in Geometry) Rating: 2.00
Posted on 2008-08-24 by pcbouhid (Solution Posted, 6 Comments)

Recently Posted Solutions:
Difficulty: 2 of 5Men, Art And Nation (in Numbers)
Submitted By K Sengupta. Solution posted on 2008-09-08 05:25:07
Difficulty: 2 of 5Catching your enemy (in Logic)
Submitted By pcbouhid. Solution posted on 2008-08-29 09:54:13
Difficulty: 2 of 5No repeated numbers (in Logic)
Submitted By pcbouhid. Solution posted on 2008-08-28 13:09:08
Difficulty: 2 of 5Trisecting an angle (in Geometry)
Submitted By pcbouhid. Solution posted on 2008-08-28 13:03:28
Difficulty: 3 of 5The missing letter (in Sequences)
Submitted By pcbouhid. Solution posted on 2008-08-28 12:59:44
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