quick quiz
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 jacfan
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quick quiz
Just for fun... just post your answer.
In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.
How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?
In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.
How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?
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Re: quick quiz
I'd say 10 people guessed all four correct.jacfan wrote:Just for fun... just post your answer.
In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.
How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?
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Not sure if you'd call it a trick but there is a catch in the question. I must admit I tried to find some sort of math sequence at first but then I realized that there is a simple logic behind it. If there are 4 fruits and 4 boxes, put 1 into each, it is not possible for someone to guess only three correct. If three are correct that means the fourth one has to be correct as well. Therefore there'll be only people left guessing all four correct.<TK> wrote:Its not possible to tell
Unless of course this is a trick question, and there is no actual correct answer, just one that makes you feel silly
Right, jacfan? Anyone?
In the beginning the Universe was created. This has made a lot of people very angry and been widely regarded as a bad move.  Douglas Adams (19522001)
Interesting approach. I have one question though... According to your deduction the ones that have four correct guesses would have to be included into the twocorrect category as double, cuz they will have guessed any two pairs correctly. Similar logic dictates that they will have to be included into the onecorrect group four times... Makes it quite complicatedEd wrote:10 each
If you read the question, it doesn't say only three correctly, it says three correctly, hence 10 people guessed three correctly and the same 10 guessed the four correctly.
But like you gkaytaz I started by thinking it is some sort of pattern but it couldn't be.
Lets see what jacfan says!
Jac?
In the beginning the Universe was created. This has made a lot of people very angry and been widely regarded as a bad move.  Douglas Adams (19522001)
 jacfan
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 Location: I come from the land down under!!
Absoutely correct Gkay. If you have guessed three correctly then it is impossible for the fourth one to be wrong. Gkay head to the bar for free drinks.gkaytaz wrote:Not sure if you'd call it a trick but there is a catch in the question. I must admit I tried to find some sort of math sequence at first but then I realized that there is a simple logic behind it. If there are 4 fruits and 4 boxes, put 1 into each, it is not possible for someone to guess only three correct. If three are correct that means the fourth one has to be correct as well. Therefore there'll be only people left guessing all four correct.<TK> wrote:Its not possible to tell
Unless of course this is a trick question, and there is no actual correct answer, just one that makes you feel silly
Right, jacfan? Anyone?
Holy crap on a cracker!
Number one idiot for 2007!!!!!
2008 Round of France winner!!! Wooooooohoooo!!!!!!
2010 Round of Britian winner!!!!!!
Number one idiot for 2007!!!!!
2008 Round of France winner!!! Wooooooohoooo!!!!!!
2010 Round of Britian winner!!!!!!
jacfan wrote:Absoutely correct Gkay. If you have guessed three correctly then it is impossible for the fourth one to be wrong. Gkay head to the bar for free drinks.gkaytaz wrote:Not sure if you'd call it a trick but there is a catch in the question. I must admit I tried to find some sort of math sequence at first but then I realized that there is a simple logic behind it. If there are 4 fruits and 4 boxes, put 1 into each, it is not possible for someone to guess only three correct. If three are correct that means the fourth one has to be correct as well. Therefore there'll be only people left guessing all four correct.<TK> wrote:Its not possible to tell
Unless of course this is a trick question, and there is no actual correct answer, just one that makes you feel silly
Right, jacfan? Anyone?
In the beginning the Universe was created. This has made a lot of people very angry and been widely regarded as a bad move.  Douglas Adams (19522001)
 jacfan
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 Joined: Sun Apr 02, 2006 11:24 pm
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No. I think you are over complicating it.gkaytaz wrote:Interesting approach. I have one question though... According to your deduction the ones that have four correct guesses would have to be included into the twocorrect category as double, cuz they will have guessed any two pairs correctly. Similar logic dictates that they will have to be included into the onecorrect group four times... Makes it quite complicatedEd wrote:10 each
If you read the question, it doesn't say only three correctly, it says three correctly, hence 10 people guessed three correctly and the same 10 guessed the four correctly.
But like you gkaytaz I started by thinking it is some sort of pattern but it couldn't be.
Lets see what jacfan says!
Jac?
Holy crap on a cracker!
Number one idiot for 2007!!!!!
2008 Round of France winner!!! Wooooooohoooo!!!!!!
2010 Round of Britian winner!!!!!!
Number one idiot for 2007!!!!!
2008 Round of France winner!!! Wooooooohoooo!!!!!!
2010 Round of Britian winner!!!!!!
 jacfan
 Forum Legend
 Posts: 5546
 Joined: Sun Apr 02, 2006 11:24 pm
 Location: I come from the land down under!!
No one can guess only three correctly. If you have three out of four right then the fourth has to be right also.Ed wrote:10 each
If you read the question, it doesn't say only three correctly, it says three correctly, hence 10 people guessed three correctly and the same 10 guessed the four correctly.
But like you gkaytaz I started by thinking it is some sort of pattern but it couldn't be.
Lets see what jacfan says!
Holy crap on a cracker!
Number one idiot for 2007!!!!!
2008 Round of France winner!!! Wooooooohoooo!!!!!!
2010 Round of Britian winner!!!!!!
Number one idiot for 2007!!!!!
2008 Round of France winner!!! Wooooooohoooo!!!!!!
2010 Round of Britian winner!!!!!!
I wish that'd work for 8 n Pole the same wayjacfan wrote:No one can guess only three correctly. If you have three out of four right then the fourth has to be right also.Ed wrote:10 each
If you read the question, it doesn't say only three correctly, it says three correctly, hence 10 people guessed three correctly and the same 10 guessed the four correctly.
But like you gkaytaz I started by thinking it is some sort of pattern but it couldn't be.
Lets see what jacfan says!
In the beginning the Universe was created. This has made a lot of people very angry and been widely regarded as a bad move.  Douglas Adams (19522001)