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Four Men

Puzzle:

Four men - Abraham, Bobby, Clinton and Denial - are standing in a straight line.

  • One man is fair, handsome and unscarred.
  • Two men who are not fair, are each standing next to Abraham.
  • Bobby is the only man standing next to exactly one handsome man.
  • Clinton is the only man not standing next to exactly one scarred man.
Who is fair, handsome and unscarred?

For Solution SCROLL DOWN...

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Solution:

Clinton is fair, handsome and unscarred.

From (2), both the men standing next to Abraham are not fair. Also, exactly one man is fair, handsom and unscarred. Hence, there are two cases:

Case 1 :: ? (N, ?, ?) : Abraham (Y, Y, N) : ? (N, ?, ?) : ? (?, ?, ?)
Case 2 :: ? (N, ?, ?) : Abraham (?, ?, ?) : ? (N, ?, ?) : ? (Y, Y, N)

Note the representation - Name (Fair, Handsome, Scarred). "Y" stands for Yes and "N" stabds for No. Abraham (Y, Y, N) means Abraham is Fair, Handsome and Unscarred.

It is clear that either Abraham or the man at the extreme right is fair, handsome and unscarred.

From (4), it is deduced that Clinton is standing next to unscarred man and each of the other men standing next to exactly one scarred man.

Case 1 :: Clinton (N, ?, N) : Abraham (Y, Y, N) : ? (N, ?, Y) : ? (?, ?, Y)
Case 2 :: ? (N, ?, Y) : Abraham (?, ?, Y) : ? (N, ?, N) : Clinton (Y, Y, N)

From (3), Bobby is the only man standing next to exactly one handsome man. But in Case 1, Clinton is standing next to exactly one handsome man. Hence, Case 1 is not possible and Case 2 is the correct one.

Case 2 :: ? (N, ?, Y) : Abraham (?, ?, Y) : ? (N, ?, N) : Clinton (Y, Y, N)

Again from (3) and (4), there are 2 possibilities as shown below.

Case 2a :: Denial (N, N, Y) : Abraham (?, N, Y) : Bobby (N, N, N) : Clinton (Y, Y, N)
Case 2b :: Bobby (N, N, Y) : Abraham (?, Y, Y) : Denial (N, N, N) : Clinton (Y, Y, N)

Thus, Clinton is fair, handsome and unscarred. Also, Abraham may be either fair or not fair.


5 comments:

visu said...

clinton i suppose

Anonymous said...

Clinton...
-D-A-B-C-

C is fair, handsome and unscarred.
D,B are 2 men who are not fair, are each standing next to Abraham.

B is only Man standing next to C one handsome man.


Clinton C is the only man not standing next to exactly one scarred man.

ankit_blacki said...

yess clinton...
i m damn sure...

anee said...

- d-b-a-c
d is handsome...
bobby is d only man standing next 2 exactly 1 handsome...
b,c are unfair and a is in b/n them...
b is scarred and c is not standing next 2 him.....

David Jackman said...

This was one of the tougher logic puzzles I've done on this blog so far, but I got Clinton was the fair, handsome and unscarred man.

I think there are two possible configurations they're standing in:

C-B-A-D or C-D-A-B (I guess they could also be reversed and stand like D-A-B-C or B-A-D-C)

In any case, C is the only person who is Fair, Handsome, and Unscarred. A is definitely scarred, but it cannot be deduced whether he is fair or not.

Good puzzle!