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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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> Just Math> Science> Algorithms
Start with an integer n. Multiply its smallest and largest digits together and add their product to n, forming the second term in the sequence. Repeat this process until n stops changing.

Example: 231, 234, 242, 250, 250. This is a 4-term sequence.

What is the longest sequence for starting values less than 30,000?
(No Solution Yet, 0 Comments) Submitted on 2015-01-29 by Danish Ahmed Khan   
Difficulty: 3 of 5 Bonus: Packing 'em In (in Geometry) Rating: 4.20

ABC is an acute-angled triangle with area 1. A rectangle F(PQRS) has its vertices on the sides of the triangle, with P and Q on BC, R on AC, and S on AB. Another rectangle, G(WXYZ), has its vertices on the sides of triangle ASR, with W and X on RS, Y on AS, and Z on AR.

What is the maximum total area of F and G?

(Solution Posted, 13 Comments) Submitted on 2004-03-02 by DJ   
Difficulty: 3 of 5Date Count Conclusion (in General)
Posted on 2015-01-29 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Phrase Anagram Ponder (in Word Problems)
Posted on 2015-01-28 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 2 of 5ProSum Numbers (in Numbers)
Posted on 2015-01-28 by Danish Ahmed Khan (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Hat #10 (in Word Problems)
Posted on 2015-01-27 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Antonym Assessment (in Word Problems)
Posted on 2015-01-27 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Integral Proof (in Numbers)
Posted on 2015-01-26 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 2 of 5 Observe and prove (in Just Math)
Posted on 2015-01-26 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Trigo - 24 (in Just Math)
Posted on 2015-01-25 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Final Minus Two (in Just Math)
Posted on 2015-01-24 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Deux Difference Deduction (in Sequences)
Posted on 2015-01-23 by K Sengupta (No Solution Yet, 8 Comments)
Difficulty: 2 of 5Eliot Ness meets Paul Erdős (in Numbers)
Posted on 2015-01-23 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Power Expression, Prime? (in Just Math) Rating: 3.00
Posted on 2015-01-22 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 2 of 5What price glory? (in Games)
Posted on 2015-01-22 by Ady TZIDON (No Solution Yet, 5 Comments)
Difficulty: 3 of 5Deux Digit Deduction (in Just Math)
Posted on 2015-01-21 by K Sengupta (No Solution Yet, 2 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Deux Digit Determination (in Just Math)
Submitted By K Sengupta. Solution posted on 2015-01-20 06:59:00
Difficulty: 3 of 5Chinese New Year (in General)
Submitted By broll. Solution posted on 2015-01-19 03:21:41
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Submitted By Ady TZIDON. Solution posted on 2015-01-13 19:41:56
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