Tough Logical Puzzle: Black or White Dot on Forehead
There are five men, let’s say Tarun, Harish, Lavesh, Manoj and Manish.
All of them have a dot mark on their forehead. (Either black or White)
They can’t see the dot on their own forehead, but can see the ones on others.
The owner of WHITE dot is an honest person and will never lie, while the owner of BLACK dot will always lie.
This is the statement from Tarun, Harish, Lavesh and Manish:
Tarun: ‘I see 3 whites and 1 black’.
Harish: ‘I see 4 black’.
Lavesh: ‘I see 3 black and 1 white’.
Manish: ‘I see 4 white’.
What color is the dot on each Tarun, Harish, Lavesh, Manoj and Manish’s forehead?
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Answer to the Logical Riddle:
Tarun, Harish, Lavesh and Manish all have made a contradictory statement, so only one of them can be true. So there have to be minimum 3 black dots.
We don’t know yet which colour Manoj would have on his forehead as he had not made any statement; so he can have a black or white colored dot.
Thus, the maximum possibility of white dots is 2, that is one from Manoj and 1 from either of the four (Tarun, Harish, Lavesh and Manish)
Tarun and Manish obviously lied, as they said that there are 3 and 4 person has white dot, which leave us with Harish and Lavesh.
Assuming Harish is white, and that he must be telling the truth that he saw 4 black dots, which makes Lavesh a liar. This is an impossible situation, since Lavesh saw 3 black and 1 white (Lavesh has to be a liar, so there must be more than 1 white, meaning it’s impossible Harish saw 4 blacks).
The only possibility is Lavesh told the truth.
So, Tarun, Harish and Manish have black dots, while Lavesh and Manoj have white dots.