asnaseer
  • asnaseer
Fun logic puzzle for today. There are 111 people in a competition. The competition has 4 boxes and 4 jewels. Each box is identical and is completely opaque (i.e. you cannot see inside the box once it is closed). The jewels are all different: diamond, ruby, emerald and topaz. Everyone in the competition knows this. The host (who is NOT one of the 111 taking part), places one jewel in each box and then seals the boxes and writes a letter on each box: A, B, C and D - all done WITHOUT any of the 111 competitors watching. The competitors are then asked to guess which jewel is in which box.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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asnaseer
  • asnaseer
- 9 people get all 4 of their guess wrong - 15 people guess exactly one jewel correctly - 25 people guess exactly 2 jewels correctly How many people: a) guess exactly 3 jewels correctly b) guess exactly 4 jewels correctly
austinL
  • austinL
Oh dear.
asnaseer
  • asnaseer
:)

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asnaseer
  • asnaseer
this is based purely on logical reasoning - no complicated maths involved. :)
austinL
  • austinL
I am bowing out, I shall no longer strain my brain for this :P
asnaseer
  • asnaseer
fair enough - but I warn you - you WILL kick yourself when you find out the answer. :)
anonymous
  • anonymous
Well there ARE 64 people left.... But how are you supposed to know which is which?
asnaseer
  • asnaseer
64?
austinL
  • austinL
62.....
anonymous
  • anonymous
I meant 62
anonymous
  • anonymous
Sorry, did it in my head, mental math is not so good :p
asnaseer
  • asnaseer
:)
anonymous
  • anonymous
o.o.... I don't know how your supposed to know, unless there is some pattern.
asnaseer
  • asnaseer
no patterns involved - just pure reasoning :)
anonymous
  • anonymous
So, just to make sure I understand, there is no mathematical way to do this, it's just reasoning.
asnaseer
  • asnaseer
you don't need to use any particular mathematical method - just pure reasoning should get you to the answer.
asnaseer
  • asnaseer
pay close attention to the question and to what is being asked for...
anonymous
  • anonymous
Wow. I really don't know. I'll probably be upset for not thinking of it once you tell us, but I give up for now. When will you tell us??
asnaseer
  • asnaseer
I'll give it another hour - if no one solves by then I'll post the solution.
asnaseer
  • asnaseer
HINT: Pay close attention to the word EXACTLY
anonymous
  • anonymous
a)0 b)62
thomaster
  • thomaster
a 42 b 20 just guessing? xD
asnaseer
  • asnaseer
@ig0p0g0 wins! :)
thomaster
  • thomaster
wat
1 Attachment
asnaseer
  • asnaseer
it is impossible to guess EXACTLY 3 correct - the remaining 4th jewel MUST also be correct. :)
anonymous
  • anonymous
Please explain??
thomaster
  • thomaster
*facepalm*
thomaster
  • thomaster
Ok now I feel stupid :(
asnaseer
  • asnaseer
@UsaChan<3 I explained above - hopefully you understood the reasoning.
asnaseer
  • asnaseer
@thomaster YOU are anything BUT stupid my friend! :)
austinL
  • austinL
Oh for the love of god....
asnaseer
  • asnaseer
:D
austinL
  • austinL
*begins to kick himself*
asnaseer
  • asnaseer
I /believe/ this may be a question that Microsoft use in their interviews (or at least some variation of it)
anonymous
  • anonymous
OMG......I didn't even think of that
anonymous
  • anonymous
Oh, yes I did understand the reasoning, I just didn't see that post when ever I posted mine.
anonymous
  • anonymous
And yes, that is very clever. Haha, I can't believe I didn't see that.
asnaseer
  • asnaseer
It's a nie little teaser - catches out a lot of people. Surprisingly (or maybe not) - most youngsters get this fairly quickly (under 16 years of age)!
asnaseer
  • asnaseer
*nice
anonymous
  • anonymous
dont tell me young kids get this quick.....it makes me feel stupid...lol
austinL
  • austinL
I feel slightly dunce-ish after that. I feel as though we all should have gotten that. Yay for over-complicating things.... -"if I take the integral of this then...."
asnaseer
  • asnaseer
he he - not "seeing" something immediately is something we ALL suffer from in life - it doesn't mean that we are stupid - just means that we are human. :D
anonymous
  • anonymous
I tried several things...charts, equations, venn diagrams....AHHHHHHHHHH
asnaseer
  • asnaseer
maybe that is why most youngsters get it quickly - because they haven't been "corrupted" by equations, charts, etc. :D
anonymous
  • anonymous
so true...lol....I am giving you a medal for this
asnaseer
  • asnaseer
thx :)
asnaseer
  • asnaseer
first time I have been medalled for making people feel stupid! :D
thomaster
  • thomaster
These trick questions are awesome :P How about this one: On my way to St. Ives I saw a man with 7 wives. Each wife had 7 sacks. Each sack had 7 cats. Each cat had 7 kittens. Kitten, cats, sacks, wives. How many were going to St. Ives?
asnaseer
  • asnaseer
\[7+7^4\]?
KingGeorge
  • KingGeorge
Depends on if he was walking to or from St. Ives.
thomaster
  • thomaster
to
asnaseer
  • asnaseer
plus 1
asnaseer
  • asnaseer
\(8+7^4\)
asnaseer
  • asnaseer
plus 1 again!
asnaseer
  • asnaseer
\(9+7^4\)
KingGeorge
  • KingGeorge
Also depends on whether or not his wives were with him.
thomaster
  • thomaster
on his way he saw those 7 wives and stuff the question doesn't say that those 7 wives were also heading to st ives. So the answer is 1. only himself xD
asnaseer
  • asnaseer
grumble grumble grumble... :D
KingGeorge
  • KingGeorge
No where does it say they weren't heading to St. Ives either. And technically speaking, if that's your reasoning, the answer would be 0 since you specified "Kitten, cats, sacks, wives" and not "men"
asnaseer
  • asnaseer
true :)
thomaster
  • thomaster
Hmm it's from a microsoft interview, and it is true they should have used humans instead of wives :P
asnaseer
  • asnaseer
are you saying that wives are NOT humans! :D
thomaster
  • thomaster
I'm saying wives are also humans, just as the man
KingGeorge
  • KingGeorge
One of my professors this past year accidentally implied that in person. It was funny in an unfortunate sort of way,
asnaseer
  • asnaseer
I know @thomaster - I was trying to make a joke from your statement - English is a language that can easily be mis interpreted!

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