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> Logic (1)> Probability> Shapes> General
> Numbers> Games> Paradoxes> Riddles
> Just Math (3)> Science> Algorithms
Three university students, A, B and C, applied for a job in the computer laboratory. All were straight-A students in both math and computer science. Since there was more than a month before the school year started, I devised a test to choose the best candidate.

On Day 1 I met with the 3 students and carefully explained the procedure. I had chosen a certain Pythagorean right triangle with integer sides. The hypotenuse was between 300 and 2300, inclusive. I would secretly tell A the length of the shorter leg, B the length of the longer leg, and C the length of the hypotenuse. Then I would ask them, in turn, if they could tell me the lengths of all 3 sides, giving them a full day each time to consider their answers. They would all hear the other students' answers.

On Day 2 I assembled the 3 students and asked A what are the lengths of the 3 sides. A did not know.
On Day 3 I assembled them and asked B for the lengths of the 3 sides. B did not know.
On Day 4 I asked C for the lengths of the 3 sides. C did not know.
On Day 5 I asked A again for the lengths of the 3 sides. A did not know.
I continued asking them in turn for lengths of the 3 sides. Finally, on Day 17, after I had asked A for the sixth time, and A did not know, both B and C shouted out "I know!"

What is the length of the shortest side?
(No Solution Yet, 0 Comments) Submitted on 2019-05-26 by Danish Ahmed Khan   
Difficulty: 3 of 5 Bonus: Simple distances (in General) Rating: 1.86
For this you will need four pennies. Arrange the pennies so that the centers of all four are equidistant from each other.

Example:

(1) (2) (3) (4)

This will not work because penny 1 and penny 4 are farther apart than penny 1 and penny 2.
(Solution Posted, 8 Comments) Submitted on 2006-05-01 by Stephen   
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