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Festive maths puzzles – solutions and explanations

Source link : https://bq3anews.com/festive-maths-puzzles-solutions-and-explanations/

Listed below are the solutions to the festive maths quiz I set on December 23. I’m hoping you loved it.

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Puzzle 1: You might be given 9 gold cash that glance an identical. You might be informed that one in all them is pretend, and that this coin weighs lower than the actual ones. The use of a collection of out of date steadiness scales, what’s the smallest collection of weighings you want to resolve which is the pretend coin?

Answer: You’ll do that in simply two weighings:

(1) Divide the 9 cash into 3 units of 3, and make a selection two of those units to weigh towards one some other. If one set is lighter than the opposite, then the pretend is this sort of 3 cash. If the 2 units weigh the similar, then the pretend is within the 3 unweighed cash.

(2) Now take the set with the pretend coin, and weigh two of its cash towards each and every different. If one is lighter, that’s the pretend. In the event that they weigh the similar, then the pretend is the 3rd coin.

Puzzle 2: You’ve been transported again in time to lend a hand cook dinner Christmas dinner. Your process is to bake the Christmas pie, however all you’ve were given is 2 egg-timers: person who occasions precisely 4 mins, and person who occasions precisely seven mins. How are you able to time ten mins precisely?

Answer: There are a couple of solutions to this puzzle, however supposing the chef desires you cook dinner this pie as briefly as conceivable,…

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Author : bq3anews

Publish date : 2025-12-29 09:24:00

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