bonanova Posted May 15, 2008 Report Share Posted May 15, 2008 Mr. Butler, Mr, Carter, Mr. Driver and Mr. Hunter are employed as a butler, carter, driver and hunter. None of them has a name that identifies his profession. They make the following statements. [1] Mr. Carter is the hunter. [2] Mr. Driver is the carter. [3] Mr. Butler is not the hunter. [4] Mr. Hunter is not the butler. If these statements are all true, Mr. Butler must be the butler. Since this is impossible, at least one statement is false. How many statements are false? [OK three of the statements are false.] But who is the driver? Quote Link to comment Share on other sites More sharing options...
0 Guest jdmensa Posted May 15, 2008 Report Share Posted May 15, 2008 (edited) [1] Mr. Carter is the hunter. false [2] Mr. Driver is the carter. false [3] Mr. Butler is not the hunter. true [4] Mr. Hunter is not the butler. false Mr. Carter is the driver. Carter=Driver Driver=Hunter Butler=Carter Hunter=Butler Edited May 15, 2008 by jdmensa Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2008 Report Share Posted May 15, 2008 (edited) that means Mr. Carter is the driver, Mr. Driver is the carter, Mr. Butler is the hunter, and Mr. Hunter is the butler...making the answer to your question Mr. Carter Edited May 15, 2008 by GIJeff Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2008 Report Share Posted May 15, 2008 I agree that Mr. Carter is the driver, but it's impossible to classify the others, correct? There are three different organization patterns that would work, the only constant being Carter as the driver... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2008 Report Share Posted May 15, 2008 (edited) Three statements are false, so one must be true. If Statement #1 is true, and statement #3 is false, then we have a contradiction. If statement #2 is true, then statements #3 and #4 are false, and Mr. B is the hunter and Mr. H is the butler. Since Mr. C cannot be the carter, he must be the driver. If statement #3 is true, then statement #4 is false and Mr. H is the butler. Statement #1 is false, so Mr. C is not the hunter, nor the butler (and can't be the carter), so he's the driver. If statement #4 is true, then statement #3 is false, and Mr. B is the hunter. Statement #2 is false, so Mr. D is not the carter, nor the hunter, and can't be the driver, so he's the butler. Since Mr. C cannot be the hunter or butler, and can't be the carter, he's the driver. Any way you cook it, Mr. Carter is the driver! Edited May 15, 2008 by rhapsodize Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2008 Report Share Posted May 15, 2008 Using that 3 facts are false, I attempted to check the outcome of having each of the 4 statements be true one at a time. The first cannot be the true one ([1] makes Mr. Carter the Hunter, and [3] being false would mean Mr. Butler is also the Hunter) The other three options can all be satisfied, however. So how do you know which to pick? The only question was 'which one is the driver?'. In all three cases ([2], [3], or [4] being the true statement), Mr. Carter is the driver. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 15, 2008 Report Share Posted May 15, 2008 Carter: Driver Driver: Hunter Butler: Carter Hunter: Butler The third is the true statement Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 16, 2008 Report Share Posted May 16, 2008 (edited) Ahh after a long break...I came back again A. If Statement#1 is true, then both Mr. Carter and Mr. Butler becomes hunter. So it cannot be true B. If Statement#2 is true, then Mr. Carter is NOT hunter, Mr. driver IS carter, Mr. Butler IS hunter and Mr. Hunter IS butler. So, Mr. Carter shold be the driver. It also fulfills the initial condition of no name -profession resembles. Edited May 16, 2008 by storm Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 16, 2008 Report Share Posted May 16, 2008 Who's on first! Was he chinese or a docter? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted May 16, 2008 Report Share Posted May 16, 2008 Mr. Carter Quote Link to comment Share on other sites More sharing options...
Question
bonanova
Mr. Butler, Mr, Carter, Mr. Driver and Mr. Hunter are
employed as a butler, carter, driver and hunter.
None of them has a name that identifies his profession.
They make the following statements.
[1] Mr. Carter is the hunter.
[2] Mr. Driver is the carter.
[3] Mr. Butler is not the hunter.
[4] Mr. Hunter is not the butler.
If these statements are all true, Mr. Butler must be the butler.
Since this is impossible, at least one statement is false.
How many statements are false? [OK three of the statements are false.]
But who is the driver?
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