Puzzles

1)Three geniuses stand in a file (one behind the other).
Each can see only to the front, so the rear person can see
the middle and the front, the middle person can see the
front, and the genius in the front cannot see anyone. You
have five hats. Two are white, and three are red. You
blindfold the three geniuses, who are utterly truthful, and
put a hat--at random-on the head of each. Then you hide the
other two hats and remove the blindfolds. You then ask each
genius to name the color of his hat (which he cannot see).
The rear on says "I don't know." The middle on says, " I
don't know." Then the front onw says, "I know." WHAT COLOR
IS THE FRONT GENIUS' HAT?

2) one reasoning puzzle.
3) A monkey falls into a 30 ft well. Every day it climbs 3
ft up and falls 2 feet up. How many days will it take for it
to jump out of the well.

Answer Posted / reshma

1) You start by considering the ways in which the front and
middle geniuses could be wearing hats. There are four
possibilities:-
1) Front: white, Middle: white.
2) Front: white, middle: red.
3) Front: red, Middle: white.
4) Front: red, Middle: red.
Now consider each statement in turn. If the rear genius
could see two white hats then he would know that his hat was
red. Therefore you can exclude possibilty 1. The middle
genius now knows this as well, so if he can see a white hat
he would know that his hat was red. Therefore you can
exclude possibilty 2. The front genius now knows this as
well and as both the remaining options have him wearing a
red hat he now knows the colour of his own hat.

3) monkey will be out on the 28th day. bcox when it jumps
out from the 27th ft.. its out of the well.

Is This Answer Correct ?    32 Yes 6 No



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