Three companies have been brought together for an airport master planning project. They would all like to know what the total budget of the project is, but without revealing what they individually contributed or who contributed the least.
Unfortunately, there is no third party (or trustworthy consultancy!) available to act as a middle man. The companies can exchange information secretly between one another (so that the third company is not privy to the conversation) and they always tell the truth. How can the total budget for the project be known by all 3 of them? And what is the minimum number of 2-way conversations necessary before one of them can announce the total value to the two others?
The answer will be published in the next edition of ON AIR!. Please send your solutions to [email protected]. All entries must be received by 10th January 2018. The first correct answer drawn at random after this date will win a pair of Helios noise-cancelling headphones. Good luck!
And the winner is...
Congratulations to Walter Keating of Austro Control, who sent the correct answer and came first in the draw.
Find the answer to 'The Cube Conundrum' below:
To ensure the pilot can arrange his two cubes to show the current day of the month each day he must have the numbers 0, 1 and 2 on both cubes and the remaining numbers (apart from '9') need to be distributed between the remaining faces. The key to this conundrum is to recognise that the number '9' can be represented by an upside down '6'.
Cube 1: 0, 1, 2, 3, 4, 5
Cube 2: 0, 1, 2, 6, 7, 8