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Difficulty: MediumPuzzle 353

BrainBashers 2000 Olympics

At the recent BrainBashers Festival, the 100 metres heats were closely monitored.

Each contestant had to run in two races so that the average place could be determined.

Only one runner finished in the same place in both races.

Alan was never last. Charles always beat Darren. Brian had at least one first place. Alan finished third in at least one of the races. Both Darren and Charles had a second place.

What were the two results?

[Ref: ZMKA] © Kevin Stone

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Difficulty: MediumPuzzle 354

Puzzle IconPractical Peter was asked to cut a 99 foot rope into three smaller, equal length ropes.

However, as usual, Pete couldn't find his measuring tape so he guessed!

When he finally did find his tape (it was under his hat), he discovered that:

A) the second piece of rope was twice as long as the first piece, minus 35 feet (i.e. 2 x first, - 35).
B) the third piece of rope was half the length of the first, plus 15 feet (i.e. 0.5 x first, + 15)

How long were each of the pieces of rope?

[Ref: ZGCD] © Kevin Stone

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Difficulty: MediumPuzzle 355

Puzzle Icon10 prisoners are locked up in individual cells, unable to see, speak or communicate in any way with each other. There is a exercise room with a single light, that is initially off and the prisoners cannot see the light from their own cell.

Every day, the warden picks a prisoner at random, and that prisoner goes to the exercise room.

While there, the prisoner can choose to switch the light on or off, and are not allowed to leave a message.

At any point, any prisoner can claim that all 10 prisoners have been to the exercise room. If they are wrong then all 10 prisoners will be locked up forever! However, if they are correct all of the prisoners are set free.

Before the random picking begins, the prisoners are allowed to discuss a plan. What is their best plan to determine when all 10 prisoners have visited the exercise room?

[Ref: ZAWX]

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Difficulty: MediumPuzzle 356

Puzzle IconCan you find the anagrams of the following words?

COAGULATE
CAVITATES
BACTERIAL
BALANCERS
HEADLAMPS
MILESTONE
TELEPHONY
DIGNIFIES
UNNOTICED

[Ref: ZKRV] © Kevin Stone

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