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Difficulty: 3 of 5 Latest: 3 cubes (in Numbers)
x^3 + y^3 + z^3 = w^3.

The smallest set of positive integers x,y,z,w qualifying as a solution of the bolded equation above is: 3,4,5,6

a.Find some other sets of distinct integers, not necessarily positive.
b. Provide some comments on "The sum of 3 cubes is a cube" equation.

(No Solution Yet, 0 Comments) Submitted on 2018-06-21 by Ady TZIDON   
Difficulty: 2 of 5 Bonus: What's the time, Mr Caesar? (in Numbers) Rating: 2.33
I own a very unique clock. It is digital, but it displays the time in Roman numerals. It does this in the same way as a normal digital clock (hours : minutes). The clock does not display seconds. For example, at 7:34 the clock displays "VII:XXXIV". Whenever a zero is required it is represented by a dash (-). That is, 1:00 is represented by "I:-".

Sometimes I place this clock on a flat, horizontal mirror which reflects what is displayed on the clock.

For what proportion of the day does the reflection of the time on the clock look the same as the time displayed by the clock itself?

Please provide an answer for both 12hr timing (the clock does not indicate the difference between AM and PM) and 24hr timing.

(Solution Posted, 5 Comments) Submitted on 2004-05-16 by Popstar Dave   
Difficulty: 3 of 5Non-zero integers (in Just Math)
Posted on 2018-06-20 by Ady TZIDON (No Solution Yet, 3 Comments)
Difficulty: 4 of 5Space guys (in Just Math)
Posted on 2018-06-19 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 2 of 5Counting ones (in Just Math)
Posted on 2018-06-18 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Square Divisiblity (in Numbers) Rating: 3.00
Posted on 2018-06-17 by Daniel (No Solution Yet, 4 Comments)
Difficulty: 2 of 5Zero is the last digit of S (in Numbers) Rating: 5.00
Posted on 2018-06-16 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 4 of 5Play until you win (in Probability)
Posted on 2018-06-15 by Jer (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Looking for a square result (in Just Math)
Posted on 2018-06-14 by Ady TZIDON (No Solution Yet, 18 Comments)
Difficulty: 2 of 5Cypher Phrase (in Cryptography) Rating: 3.00
Posted on 2018-06-13 by Charlie (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Cubes of couples (in Numbers)
Posted on 2018-06-12 by Ady TZIDON (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Evaluate probability (in Probability)
Posted on 2018-06-11 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 2 of 5How fast can you solve it? (in Just Math)
Posted on 2018-06-10 by Ady TZIDON (No Solution Yet, 1 Comments)
Difficulty: 3 of 5Cyclic Quadrilateral Tessellation (in Geometry)
Posted on 2018-06-09 by Jer (No Solution Yet, 0 Comments)
Difficulty: 3 of 5Define number n in n letters (in General)
Posted on 2018-06-08 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 4 of 5a NEWS puzzle (in Just Math)
Posted on 2018-06-07 by Ady TZIDON (No Solution Yet, 1 Comments)

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