All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
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!
> Logic> Probability (1)> Shapes> General (1)
> Numbers (1)> Games> Paradoxes> Riddles
> Just Math (1)> Science> Algorithms
S denotes the set of rational numbers that are expressible as repeating duodecimal fractions of the form:

0.TUVWXTUVWX......., where T, U, V, W and X are distinct base 12 digits.

Determine the sum of the elements of S.

(No Solution Yet, 3 Comments) Submitted on 2016-05-25 by K Sengupta   
Difficulty: 3 of 5 Bonus: To the moons, Alice !! (in Tricks) Rating: 3.75
A woman named Alice, a distingushed astronomer, along with a group of her students, discovered a planet with a number of moons orbiting it. Alice decided to ignore the planet and concentrate on analyzing these moons.

She found that she could divide the moons equally among herself and her students, so that each person would have the same number of moons to study.

But her most brilliant student, Phil, suddenly suggested that the moons be broken up by families rather than individuals, so that people of the same family would work on a group of moons together. The only family relationships among these people were 3 distinct pairs of sisters. When the moons were divided along family lines, it was again possible to divide them so that each family group (each family group consisting of at least one person) got the same number of moons.

Before any study could commence, however, Pierre, another of Alice's students, decided not to study these moons, but to concentrate on the planet itself. With Pierre's decision, Alice at once dropped the division by family scheme, and divided the moons evenly among all the remaining people, including herself.

Two questions: What is the fewest number of students Alice could have had, and the fewest number of moons, to satisfy the requirements of this story ?

(Solution Posted, 15 Comments) Submitted on 2004-03-30 by Dan   
Difficulty: 3 of 5Colored Candy Choice (in Probability)
Posted on 2016-05-25 by Jer (No Solution Yet, 7 Comments)
Difficulty: 3 of 5Wanted: gifted numbers (in Numbers)
Posted on 2016-05-24 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Laugh, USA (in General)
Posted on 2016-05-24 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Projection Ponder (in Shapes)
Posted on 2016-05-23 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 2 of 53 integers (in Just Math)
Posted on 2016-05-23 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Angle Ratio Ascertainment 3 (in Shapes)
Posted on 2016-05-22 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Quadratic and Perfect Square Query II (in Just Math)
Posted on 2016-05-21 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 4 of 5Gambler's policy (in Probability)
Posted on 2016-05-20 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Differing Schools (in Riddles)
Posted on 2016-05-20 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5A comprehensive list (in Word Problems)
Posted on 2016-05-19 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5A direct count (in Famous Riddles)
Posted on 2016-05-19 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Four Digit Combination Conclusion (in Sequences)
Posted on 2016-05-18 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Grid exercise (in Just Math) Rating: 5.00
Posted on 2016-05-18 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Rocking moves (in Logic) Rating: 5.00
Posted on 2016-05-17 by Ady TZIDON (Solution Posted, 3 Comments)

Recently Posted Solutions:
Difficulty: 3 of 5Rocking moves (in Logic)
Submitted By Ady TZIDON. Solution posted on 2016-05-19 04:59:45
Difficulty: 3 of 5No Equal Weighings (in Weights and Scales)
Submitted By Brian Smith. Solution posted on 2016-05-14 14:27:36
Difficulty: 4 of 5From challenge to change (in Word Problems)
Submitted By Ady TZIDON. Solution posted on 2016-05-13 13:13:02
Difficulty: 2 of 5Cryptajoke XIV (in Cryptography)
Submitted By Ady TZIDON. Solution posted on 2016-05-11 01:00:44
Difficulty: 3 of 5Make it true (in Numbers)
Submitted By Ady TZIDON. Solution posted on 2016-05-10 22:31:51
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 (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2016 by Animus Pactum Consulting. All rights reserved. Privacy Information