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> Logic> Probability> Shapes> General (1)
> Numbers (3)> Games> Paradoxes> Riddles
> Just Math (2)> Science> Algorithms
Let f(x) be a polynomial. It is known that for all x,

f(x)f(2x2) = f(2x3+x)

If f(0)=1 and f(1)+f(2)=f(3), find f(5).
(No Solution Yet, 0 Comments) Submitted on 2019-04-19 by Danish Ahmed Khan   
Alex, Bert, and Carl are each a knight, knave or a liar. Three people asked them what their types were.

The first person got the following responses:
Alex:Carl is a liar.
Bert:Alex is a knight.
Carl:Bert is a knave.

The second person got the following responses but forgot who made which ones:
Exactly one of us is a knight.
Exactly one of us is a knave.
Exactly one of us is a liar.
(Alex, Bert, and Carl each made one of the statements.)

The third person got the following responses:
Alex:Bert is a knave.
Bert:Carl is a liar.
Carl:Alex is a knight.

What types are Alex, Bert, and Carl?
(Solution Posted, 6 Comments) Submitted on 2007-09-29 by Brian Smith   
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