• Placement Questions

Placement Papers with Solutions

(#M40009542) SELF QUESTION Opaque Cube Puzzle Keep an EYE

Opaque Cube
You are making an opaque cube (ie you cannot see through its sides).

It can be any size that you want it to be.

Where do you place the cube so that you can see as many sides as possible?

Nikhil Patel (13 years ago)

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(#M40009541) SELF QUESTION Two Boys Cross a River Keep an EYE

Two Boys Cross a River
Two boys wish to cross a river. The only way to get to the other side is by boat, but that boat can only take one boy at a time. The boat cannot return on its own, there are no ropes or similar tricks, yet both boys manage to cross using the boat.

How?

Nikhil Patel (13 years ago)

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(#M40009540) SELF QUESTION Bomb Goes Off Keep an EYE

A bomb goes off.
Carnage.
One person, only a few feet away, survives! How can this be?

Nikhil Patel (13 years ago)

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(#M40009539) SELF QUESTION Black and White Hats Keep an EYE

Cannibals ambush a safari in the jungle and capture three men. The cannibals give the men a single chance to escape uneaten.

The captives are lined up in order of height, and are tied to stakes. The man in the rear can see the backs of his two friends, the man in the middle can see the back the man in front, and the man in front cannot see anyone. The cannibals show the men five hats. Three of the hats are black and two of the hats are white.

Blindfolds are then placed over each man's eyes and a hat is placed on each man's head. The two hats left over are hidden. The blindfolds are then removed and it is said to the men that if one of them can guess what color hat he is wearing they can all leave unharmed.

The man in the rear who can see both of his friends' hats but not his own says, "I don't know". The middle man who can see the hat of the man in front, but not his own says, "I don't know". The front man who cannot see ANYBODY'S hat says "I know!"

How did he know the color of his hat and what color was it?

Nikhil Patel (13 years ago)

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(#M40009538) SELF QUESTION 5 Pirate Keep an EYE

5 Pirates
5 pirates of different ages have a treasure of 100 gold coins.

On their ship, they decide to split the coins using this scheme:

The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it.

If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.

As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.

Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

Nikhil Patel (13 years ago)

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(#M40009537) INFOSYS QUESTION Pyramid Keep an EYE

My Dad has a miniature Pyramid of Egypt. It is 3 inches in height. Dad was invited to display it at an exhibition. Dad felt it was too small and decided to build a scaled-up model of the Pyramid out of material whose density is (1 / 10) times the density of the material used for the miniature. He did a "back-of-the-envelope" calculation to check whether the model would be big enough.

If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will be the scaled-up Pyramid? Give your answer to two places of decimal.

Asked In Infosys Nikhil Patel (13 years ago)

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