perplexus.info :: logic puzzles, brainteasers, riddles and math tricks

Home

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!

Categories (All Problem Categories)

> Logic	> Probability	> Shapes (1)	> General
> Numbers	> Games	> Paradoxes	> Riddles
> Just Math (1)	> Science	> Algorithms

Latest: Getting the bases with aabbcc (in Just Math) Rating: 2.00

Determine all possible positive integer base(s) T such that:

(111)_T = (aabbcc)₆, where each of a, b and c denotes a different base 6 digit from 0 to 5 and, a is not zero.

Note: Try to solve this problem analytically, although computer program/ spreadsheet solutions are welcome.

(No Solution Yet, 5 Comments)

Submitted on 2008-10-07 by K Sengupta

Bonus: In and Out The Box (in Shapes) Rating: 3.33

The goal is to trace a line with your pencil across each edge on the box only once without crossing the vertices or picking your pencil up.

Note that this "box" contains 16 unique "edges".

Prove why this is an impossible task regardless of where you first place your pencil.

(Solution Posted, 10 Comments)

Submitted on 2005-04-06 by Michael Cottle

Half Perpendicular Times Two (in Geometry) Rating: 3.00
Posted on 2008-10-06 by Bractals (No Solution Yet, 2 Comments)

Remainder With Square And Cube (in Just Math) Rating: 4.00
Posted on 2008-10-05 by K Sengupta (No Solution Yet, 3 Comments)

Power 2 Sum Power 3 And 5 (in Just Math)
Posted on 2008-10-04 by K Sengupta (No Solution Yet, 11 Comments)

Sum Inverse LCMs (in Just Math) Rating: 3.50
Posted on 2008-10-03 by K Sengupta (No Solution Yet, 7 Comments)

Divisible by 11,111 (in Just Math) Rating: 2.67
Posted on 2008-10-02 by K Sengupta (No Solution Yet, 6 Comments)

Exactly 20 games (in Just Math) Rating: 3.20
Posted on 2008-10-01 by pcbouhid (Solution Posted, 5 Comments)

Primes in arithmetic progression (in Just Math)
Posted on 2008-09-30 by pcbouhid (Solution Posted, 9 Comments)

A long division (in Just Math)
Posted on 2008-09-29 by pcbouhid (Solution Posted, 2 Comments)

It isn't a kajillion zillion! II (in Numbers)
Posted on 2008-09-28 by Dej Mar (Solution Posted, 4 Comments)

Going Maximum With Arithmetic (in Just Math)
Posted on 2008-09-27 by K Sengupta (No Solution Yet, 5 Comments)

Sum of Squares (in Numbers)
Posted on 2008-09-26 by Bractals (Solution Posted, 6 Comments)

25 balls (in Probability)
Posted on 2008-09-25 by pcbouhid (Solution Posted, 7 Comments)

Classroom Dice (in Numbers) Rating: 4.00
Posted on 2008-09-24 by Charlie (Solution Posted, 6 Comments)

Numerical path (in Logic) Rating: 4.00
Posted on 2008-09-23 by pcbouhid (Solution Posted, 11 Comments)

Recently Posted Solutions:

ababbbcc and perfect square(s) (in Just Math)
Submitted By K Sengupta. Solution posted on 2008-10-04 12:56:57

ABC's Of Greatest Divisor (in Just Math)
Submitted By K Sengupta. Solution posted on 2008-10-03 12:27:00

Classroom Dice (in Numbers)
Submitted By Charlie. Solution posted on 2008-10-03 00:53:06

Exactly 20 games (in Just Math)
Submitted By pcbouhid. Solution posted on 2008-10-02 15:01:29

Primes in arithmetic progression (in Just Math)
Submitted By pcbouhid. Solution posted on 2008-10-02 15:01:13

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info