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What US State is triply landlocked --( a resident must cross three states to reach an ocean, gulf, or bay)?
(No Solution Yet, 2 Comments) Submitted on 2018-02-19 by Ady TZIDON    

Definition: Strictly non-palindromic number or SNP number n is a number not palindromic in any base b with 2 ≤ b ≤ n-2.

Equipped only with the above definition you are asked to perform the following tasks:
1. Show that 47 is a SNP number.
2. Write down the 1st 7 members of an increasing sequence of SNP numbers.
3. Explain the reason for defining b=n-2 as the upper limit.
4. Prove that all SNP numbers above 6 are prime, but not all primes are SNP numbers.
(No Solution Yet, 3 Comments) Submitted on 2018-02-18 by Ady TZIDON    

Difficulty: 3 of 5 Let's make a deal (in Numbers) Rating: 5.00
DEAL * DEAL = ----DEAL
Replace dashes by decimal digits,
using reasoning only.

There is only one solution!
(Solution Posted, 1 Comments) Submitted on 2018-02-17 by Ady TZIDON    

<this word> has one I, two Ls, three Ns, four Es, and five Ss.
Find it and its meaning.

Source: Discovered by Sir Jeremy Morse.

(Solution Posted, 7 Comments) Submitted on 2018-02-16 by Ady TZIDON    

Two concentric circles of radius R and r, with R>r are both intersected by the same secant line. The points of intersection, in order, are A,B,C,D.

Prove AC*CD is constant.

(No Solution Yet, 2 Comments) Submitted on 2018-02-15 by Jer    

Arrange 4 fours into various expressions to generate all integer numbers, from 1 to 112 inclusive like:

1 = 44 ÷ 44
2=sqrt 4 - (4 - 4) x 4
3 = (4 + 4 + 4) ÷ 4
4 = 4 + 4 × (4 - 4)
... ...
7= 44/4-4
... ...
19=4!-4-4/4
... ...
100=4*4!+sqrt(4*4)
etc

Allow use of concatenation, +, -, x, /, sqrt, exponentation, factorial,decimal fractions, overline & brackets.


Source: Inspired by Martin Gardner statement.

(No Solution Yet, 6 Comments) Submitted on 2018-02-14 by Ady TZIDON    

From a set of 2n+1 consecutive integers a certain number, say x, is selected in a way that the remaining n pairs can be arranged as couples having the same sum.

What are all the possible values of x making such task doable?
(Solution Posted, 6 Comments) Submitted on 2018-02-13 by Ady TZIDON    

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