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Math quiz and matchstick puzzle

Spot Fake Diamonds | fun math quiz

Find fake diamonds! This is a quantitative problem that appeared in Columbo Detective and Detective Kim Jeon-il

You are a legendary thief.


You stole 5 bags full of diamonds.



Of these, only one pocket contains fake diamonds.

 There is no time.


This is a scene from Shorts. There is a little more tension when viewed together with music.



Use the weighing scale just once to find pockets of fake diamonds


A real diamond weighs 100 grams, a fake weighs 90 grams.

Since we know that the weight is different, we can know it with just one measurement.

 

It's easy once you know it, but you need to practice finding the answer on your own.

That way, you can solve the problem at the most important moment.




The solution is simple.

Assign a number to each pocket.

It is important to take different numbers out of your pockets.



1 from pocket 1, 2 from pocket 2...



Take 5 items from bag 5 and place them all on the scale.


Since the number of diamonds is 15,


If all the diamonds are normal, it should weigh 1500g.

How much will it weigh?

 


If 10g is lacking, bag 1 is fake.

If it's a 30g hat, the fake one is in pocket 3.

I wish it came out to 1450g! Pocket number 5 is fake.




As I continue to teach students a set type of solution,

I also had a hard time at first.




It's fun, right? One more thing because it’s fun!

What should I do if I have two pockets with fake diamonds?

Of course, you can only measure the weight once.

Have fun thinking. thank you

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