Search Results

Le Monde puzzle [#860]

April 4, 2014

A Le Monde mathematical puzzle that connects to my awalé post of last year: For N≤18, N balls are placed in N consecutive holes. Two players, Alice and Bob, consecutively take two balls at a time provided those balls are in contiguous holes. The loser is left with orphaned balls. What is the values of […]

Le Monde puzzle [#857]

March 22, 2014

A rather bland case of Le Monde mathematical puzzle : Two positive integers x and y are turned into s=x+y and p=xy. If Sarah and Primrose are given S and P, respectively, how can the following dialogue happen? I am sure you cannot find my number Now you told me that, I can, it is […]

Le Monde puzzle [#855]

March 7, 2014

A Le Monde mathematical puzzle that reminds me of an earlier one: Given ten tokens with different unknown weights, and a scale that can rank three tokens at a time, starting with ranking three tokens, what is the minimum number of actions necessary to rank the ten of them if (a) one token at a […]

Le Monde puzzle [#854]

February 21, 2014

A Le Monde mathematical puzzle that sounds similar to earlier ones: Find all integers x between 1000 and 9999 and N≥1 such Nx has the reverse sequence of digits compared with i.   For N=1, the appropriate integers x are such that the four digits are symmetrical, as in x=3553. For N≥1, I ran the following […]

Le Monde puzzle [#852]

February 16, 2014

A number theory Le Monde mathematical puzzle: Integers n of type A are such that the set {1,…,3n} can be written as the union of n sets of three integers of the form {a,b,a+b}. Integers n of type B are such that the set {1,…,3n} can be written as the union of n sets of […]

Follow

Get every new post delivered to your Inbox.

Join 551 other followers