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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: Winner moves (in Probability)
You are one of ten friends who are going to play a few rounds of a simple two-player game of chance. Each player has a 50% chance of winning the game each round.

There are 5 playing squares on the floor, arranged in a circle.

In the beginning, two people go to each square. Each round the people at a square play the game and determine the winner. A round ends when the winner walks clockwise to the next square. The loser stays where they are.

After 10 rounds, what is the probability you are on the square you started on?

(No Solution Yet, 2 Comments) Submitted on 2018-08-20 by Jer   
Difficulty: 3 of 5 Bonus: An interesting equation (in Just Math) Rating: 3.67
If d(x) is the number of positive divisors of x, and n(x) is the number of distinct prime factors of x, show that d(A)=Σ(2^n(A/i)) for all positive i such that A/i is an integer.
(Solution Posted, 2 Comments) Submitted on 2007-08-05 by Praneeth   
Difficulty: 1 of 5What's next? (3) (in Sequences)
Posted on 2018-08-19 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 4 of 5Just a search (in Numbers)
Posted on 2018-08-18 by Ady TZIDON (No Solution Yet, 5 Comments)
Difficulty: 4 of 5Ant highway (in Shapes)
Posted on 2018-08-17 by Jer (No Solution Yet, 3 Comments)
Difficulty: 3 of 5In Memoriam (in Numbers) Rating: 5.00
Posted on 2018-08-16 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Roll away (in Calculus)
Posted on 2018-08-15 by Jer (No Solution Yet, 4 Comments)
Difficulty: 2 of 5Tippy table (in Shapes)
Posted on 2018-08-14 by Jer (No Solution Yet, 2 Comments)
Difficulty: 2 of 531 created by 4 successive integers (in Numbers)
Posted on 2018-08-13 by Ady TZIDON (No Solution Yet, 6 Comments)
Difficulty: 2 of 5Jeopardy-style A&Q (in Numbers) Rating: 5.00
Posted on 2018-08-12 by Ady TZIDON (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Quintuplet of consecutive primes (in Numbers)
Posted on 2018-08-11 by Ady TZIDON (Solution Posted, 1 Comments)
Difficulty: 3 of 5Attendance Records (in Numbers)
Posted on 2018-08-10 by Charlie (Solution Posted, 3 Comments)
Difficulty: 2 of 5Six or less? (in Just Math)
Posted on 2018-08-09 by Ady TZIDON (No Solution Yet, 6 Comments)
Difficulty: 3 of 5Art is marching on.. (in Word Problems)
Posted on 2018-08-08 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Shirtless ? Even nude! (in Numbers)
Posted on 2018-08-07 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5When P. meets F. (in Just Math)
Posted on 2018-08-06 by Ady TZIDON (No Solution Yet, 1 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Quintuplet of consecutive primes (in Numbers)
Submitted By Ady TZIDON. Solution posted on 2018-08-18 04:23:21
Difficulty: 4 of 5Call 911 (in Just Math)
Submitted By Ady TZIDON. Solution posted on 2018-08-17 08:57:37
Difficulty: 3 of 5Attendance Records (in Numbers)
Submitted By Charlie. Solution posted on 2018-08-13 14:29:44
Difficulty: 3 of 5Special feature (in Numbers)
Submitted By Ady TZIDON. Solution posted on 2018-08-06 20:58:39
Difficulty: 2 of 5Happy New Year (in Numbers)
Submitted By Ady TZIDON. Solution posted on 2018-08-05 15:18:55
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