All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Digest
Recently posted problems (14 days):
Show Digest for last: 2 Days | 3 Days | 5 Days | 1 Week | 2 Weeks
-------------------------------------------------------------
|9  |8  |12 |4  |   |18 |13 |25 |18 |   |17 |19 |4  |18 |3  |
-------------------------------------------------------------
|16 |14 |4  |17 |   |1  |25 |26 |2  |   |2  |18 |1  |9  |18 |
-------------------------------------------------------------
|19 |4  |11 |19 |   |9  |18 |2  |14 |   |18 |3  |1  |4  |26 |
-------------------------------------------------------------
|   |   |   |4  |22 |4  |   |   |   |18 |24 |4  |   |   |   |
-------------------------------------------------------------
|20 |8  |1  |26 |18 |   |4  |26 |18 |9  |   |17 |3  |8  |15 |
-------------------------------------------------------------
|18 |26 |4  |   |3  |16 |26 |18 |20 |9  |4  |   |18 |6  |4  |
-------------------------------------------------------------
|26 |4  |14 |8  |   |20 |18 |3  |4  |   |3  |8  |14 |4  |9  |
-------------------------------------------------------------
|   |   |   |9  |4  |4  |   |   |   |7  |25 |2  |   |   |   |
-------------------------------------------------------------
|21 |18 |2  |14 |17 |   |4  |24 |4  |4  |   |4  |9  |18 |2  |
-------------------------------------------------------------
|18 |15 |4  |   |17 |19 |26 |16 |23 |4  |17 |   |18 |14 |8  |
-------------------------------------------------------------
|14 |8  |19 |4  |   |4  |26 |2  |4  |   |24 |18 |24 |4  |26 |
-------------------------------------------------------------
|   |   |   |26 |18 |2  |   |   |   |10 |18 |24 |   |   |   |
-------------------------------------------------------------
|1  |8  |17 |8  |3  |   |5  |18 |14 |4  |   |24 |8  |4  |19 |
-------------------------------------------------------------
|4  |12 |18 |14 |4  |   |18 |15 |18 |26 |   |9  |16 |3  |4  |
-------------------------------------------------------------
|4  |18 |19 |4  |2  |   |3  |18 |22 |8  |   |4  |9  |17 |4  |
-------------------------------------------------------------
(No Solution Yet, 0 Comments) Submitted on 2020-02-21 by Math Man    

Nonzero real numbers a, b, and c are such that

a2+b+c=1/a
b2+c+a=1/b
c2+a+b=1/c

Find (a-b)(b-c)(c-a)
(No Solution Yet, 2 Comments) Submitted on 2020-02-19 by Danish Ahmed Khan    

Difficulty: 3 of 5 Got a hint? (in Sequences) Rating: 2.50

3 8 7 9 1 6 4 1 5
2 1 6 3 8 7 3 6 6
5 9 4 2 4 5 2 8 7
4 6 7 1 4 9 8 2 3
9 2 1 7 5 2 1 7 8
8 7 3 1 3 9 6 8 3
6 9 4 5 6 7 2 7 1
5 1 8 7 2 3 1 6 3
3 7 2 6 1 2 8 2 5

The above 9*9 matrix was not generated randomly.
There was some principle in its creation - for you to discover.

So what is it??

(No Solution Yet, 4 Comments) Submitted on 2020-02-17 by Ady TZIDON    

Difficulty: 3 of 5 Elections in Graphistan (in General) Rating: 3.00
In this year's presidential election of Graphistan, 20 nominees compete for the position of head of state. It is your job to schedule a series of public debates between them on national television. There are some constraints you must consider:

1. We do not want it too crowdy, so at most 10 contenders may appear in the same TV show.

2. It is an accepted custom, that candidates shall not attack anyone who is absent. Therefore, ensure that every pair of candidates appears in at least one show together.

Questions:
a) How can you schedule the events with the minimum number of shows?

b) What if there are 22 candidates and the limit is raised to 11 candidates per show?

(No Solution Yet, 4 Comments) Submitted on 2020-02-14 by JLo    

There are four parts to this problem, numbered 0 to 3:

#0 You have four pots, each with three balls. All the balls are different. You may think of them as having the numbers 1-12 written on them. You are to remove all 12 balls one at a time. The only rule: you must not remove twice in a row from the same pot. How many different ways are there to remove all 12? (solving w/out computer simulation).

#1 The same as #0, but once, and only once, you must replace a ball, returning it to its pot immediately after the removal. So you draw-out 13 times, each time from a different pot. How many possible ways are there?

#2 This time you must replace two balls, replacing each immediately after its removal and replacing each into its pot of origin. It could happen to be the same ball more than once, but you must always move on to a different pot for the next draw, if not done with all 14 draws. How many ways?

#3 Same as #2 but now 3 mandatory replacements are done at some times in the process, again, never drawing from the same pot twice.
(No Solution Yet, 2 Comments) Submitted on 2020-02-12 by Steven Lord    

PYHIYP means:
Put your hands in your pockets i.e. use no calculators, no pen & paper; just your eyes and your brain.

Insert the missing number:

113 511 375
267 482 250
267 ??? 482

Provide your explanation.

(No Solution Yet, 1 Comments) Submitted on 2020-02-10 by Ady TZIDON    

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information