Saturday, November 06, 2004

Logic Puzzle

Three men named Lewis, Miller, and Nelson work as accountant, cashier and clerk in the same department store.

If Nelson is the cashier, Miller is the clerk.
If Nelson is the clerk, Miller is the accountant.
If miller is not the cashier, Lewis is the clerk.
If Lewis is the accountant, Nelson is the clerk.

What is each man's job?

5 Comments:

Anonymous Anonymous said...

Nelson - accountant
Miller - cashier
Lewis - clerk

November 6, 2004 at 12:20 PM  
Blogger vtbonehead said...

Each man does all three jobs

November 9, 2004 at 9:03 AM  
Blogger steven said...

Anonymous has the classically correct answer, though vtbonehead could be right too!

(This puzzle from CR Wylie Jr's '101 Puzzles in Thought and Logic', 1957).

November 13, 2004 at 3:35 AM  
Blogger online2u said...

Free Online Mortage Quote!

November 22, 2005 at 8:25 AM  
Anonymous Anonymous said...

This can be solved by discrete mathematics.

Three men named Lewis (L), Miller (M), and Nelson (N) work as accountant (A), cashier (S) and clerk (C)
in the same department store.

If Nelson is the cashier, Miller is the clerk.
If Nelson is the clerk, Miller is the accountant.
If miller is not the cashier, Lewis is the clerk.
If Lewis is the accountant, Nelson is the clerk.

Statement 1 : N v S -> M v C
Statement 2 : N v C -> M v A
Statement 3 : M v ~S -> L v C
Statement 4 : L v A -> N v C

Statement 2 and statement 4 contridicts each other.
Hence only Statement 1 and Statement 3 is true

If Nelson is the cashier, Miller is the clerk.
If miller is not the cashier, Lewis is the clerk.

Only the following fulfils statement 1 and 3
Lewis is the clerk
Miller is the cashier
Nelson is the accountant

March 11, 2010 at 12:58 AM  

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