All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    


Click to listen to the single ▶

Support album on Kickstarter
perplexus dot info
Home > Logic
Logic problems. The solution to these problems does not usually require a lot of math, but will take some thinking until you find the right approach.
Sub-Categories (All Problem Categories)
> Liars and Knights> Weights and Scales
Difficulty: 3 of 5 Latest: Occam's Razor
Consider the following features of a positive integer N:

a. 3 divides N.
b. 7 divides N.
c. 21 divides N.
d. N ‘s decimal presentation needs exactly 2 distinct digits.
e. N ‘s decimal presentation needs exactly 3 distinct digits.
f. It is less than 30.
g. It is less than 260.
h. It is less than 1000.
i. It is a square number.
j. It is a triangular number.
k. It is a palindrome number.
l. It is a 6-digit number.
m. It is a cube number.
n. The sum of its digits is 9.
o. It is a perfect number.
p. It is a prime number.

Clearly no N fulfills all the above conditions.
Still different numbers may be uniquely defined by some subsets.
Consider subset SB1= (a,b,c,d,f,g,h,j) and SB2= (c,f) .
Although both define uniquely the number 21, only SB2 is void
of redundant statements.

Let's call subsets like SB2 CORE-subsets.

List all numbers that can be uniquely defined
by CORE-subsets of the above list.
Provide a short comment on the puzzle's title.

Rem. Analytical solution preferred.

(No Solution Yet, 0 Comments) Submitted on 2015-01-19 by Ady TZIDON   
Page 1 of 37   next >>    
Difficulty: 2 of 5R.I.P., J.C. |
Posted on 2015-01-02 by Ady TZIDON (Solution Posted, 4 Comments)
Difficulty: 1 of 5Tic-tac-toe related | Rating: 2.00
Posted on 2014-12-12 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Sibling Birthday Baffle |
Posted on 2014-12-03 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Seven Age Settlement |
Posted on 2014-11-24 by K Sengupta (No Solution Yet, 4 Comments)
Difficulty: 3 of 5Survival Surmise |
Posted on 2014-11-12 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Philately Ponder | Rating: 2.50
Posted on 2014-11-07 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 3 of 5Win some, lose some | Rating: 1.00
Posted on 2014-11-03 by Ady TZIDON (Solution Posted, 1 Comments)
Difficulty: 2 of 5Performance Probe |
Posted on 2014-10-24 by K Sengupta (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Switch Settlement |
Posted on 2014-10-20 by K Sengupta (No Solution Yet, 3 Comments)
Difficulty: 4 of 5Once a Liar, always a Liar 3 | Rating: 4.00
Posted on 2014-09-21 by Dustin (No Solution Yet, 11 Comments)
Difficulty: 2 of 53x3 Grid Logic II |
Posted on 2014-09-19 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Pick a letter |
Posted on 2014-09-18 by Ady TZIDON (Solution Posted, 4 Comments)
Difficulty: 3 of 5Beach Baffle |
Posted on 2014-09-09 by K Sengupta (No Solution Yet, 1 Comments)
Difficulty: 1 of 5Fibo's quickie | Rating: 4.00
Posted on 2014-09-03 by Ady TZIDON (Solution Posted, 4 Comments)
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 (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2015 by Animus Pactum Consulting. All rights reserved. Privacy Information