Riddle Your Mind With Some QR....

[Sublimation]

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A king has "a" number of diamonds. He buys these diamonds for his 7 daughters. so one night he sneaks into their room. (yes they are all in the same room). and as he is sneaking the diamonds in his first duaghters drawer she wakes up and ask, "wat that?" and he says " diamonds and they are for you", and he gives her all of them. Then his second daughter wakes up. asks the same thing her sister asked, and her dad takes all the diamonds back from the first daughter and splits them between the two awake daughters equally and has one left. he does the same with the third, fourth fifth and sixth, and at every on he had one left. and when the seventh woke up and he split the diamonds evenly amongst them and had none left. Now how many diamonds did he have?

-When i got asked this question i had just gotten out of an orgo II exam and my friend made me do it in my head so no writing or calculators......U MUST USE ALL BRAIN POWER. its good practice. I kno someone is gonna ask this but yes there is more then one answer. GLUCK and HAVE FUN 😀😀😀😀

 

[Streetwolf]

A king has "a" number of diamonds. He buys these diamonds for his 7 daughters. so one night he sneaks into their room. (yes they are all in the same room). and as he is sneaking the diamonds in his first duaghters drawer she wakes up and ask, "wat that?" and he says " diamonds and they are for you", and he gives her all of them. Then his second daughter wakes up. asks the same thing her sister asked, and her dad takes all the diamonds back from the first daughter and splits them between the two awake daughters equally and has one left. he does the same with the third, fourth fifth and sixth, and at every on he had one left. and when the seventh woke up and he split the diamonds evenly amongst them and had none left. Now how many diamonds did he have?

-When i got asked this question i had just gotten out of an orgo II exam and my friend made me do it in my head so no writing or calculators......U MUST USE ALL BRAIN POWER. its good practice. I kno someone is gonna ask this but yes there is more then one answer. GLUCK and HAVE FUN 😀😀😀😀

You need the LCD of #1 through #6 because each of those (except #1) had 1 left. So the LCD for 1-6 would be 60. That means we need to consider the # 61. If he had 61 diamonds then the 2nd through 6th daughters would get an even split with 1 left.

But we need it to be divisible by 7. Thus we need a multiple of 60 which is divisible evenly by 7 when you add 1 to it. The first instance of this is at 301.

So 301 diamonds. If you keep doing the multiple of 60 thing you'll get other answers but I believe 301 is the lowest answer.

 

[yuppers]

301. (no I did not look at streetwolfs answer....maybe 😉)

 

[Sublimation]

yup its 301, you can keep goin up. i did it alot like your method streetwolf but i did it like this, i knew the number had to be XX1 and be a multiple of 7. there is a gap of 70 between the multiples of 7 in that form. 91-21=70 so i just kept adding like that and the only number i found that was divisible by 1-6 was 300 so 301 is the answer. i went around asking ppl and honestly its truly amazing wat methods some ppl will use to figure this out. its truly amazing how diversely we think.