• Placement Questions

Placement Papers with Solutions

(#M40038407) INTERVIEW QUESTION Cubes Keep an EYE

A rectangular room measures 7.5 meters in length and 3 meters in width. The room has a height of 3 meters. A spider sits 25 centimeters down from the ceiling at the middle of one of the short walls. A sleeping fly sits 25 centimeters up from the floor at the middle of the opposite wall. The spider wants to walk (i.e., move along the walls, floor, and ceiling only) to the fly to catch it. How can the spider reach the fly, walking just 10 meters? Is it even possible?

Asked In Interview Dikesh Kumar Gumansingh (11 years ago)

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(#M40038406) INTERVIEW QUESTION Cubes Keep an EYE

I have a box of one hour fuses. If I set one end of a fuse on fire, I know that the fuse will burn all the way to the other end in EXACTLY one hour. However, the fuses may burn unevenly [ie - it may take 59 minutes to burn the first half of a fuse, but only 1 minute to burn the other half]. Furthermore, all of the fuses may burn unevenly at a different rate. The only thing we know for sure is that each one takes 1 HOUR to burn completely. The Question: Given 2 of these fuses and a lighter, how can I time out 45 minutes precisely?

Asked In Interview Dikesh Kumar Gumansingh (11 years ago)

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(#M40038405) INTERVIEW QUESTION Cubes Keep an EYE

There is a building of 100 floors If an egg drops from the Nth floor or above it will break If it’s dropped from any floor below, it will not break You’re given 2 eggs Find N, while minimizing the number of drops for the worst case.

Asked In Interview Dikesh Kumar Gumansingh (11 years ago)

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(#M40038404) INTERVIEW QUESTION Cubes Keep an EYE

Two MIT math grads bump into each other while shopping. They haven't seen each other in over 20 years. First grad to the second: "How have you been?"
Second: "Great! I got married and I have three daughters now."
First: "Really? How old are they?"
Second: "Well, the product of their ages is 72, and the sum of their ages is the same as the number on that building over there..."
First: "Right, ok... Oh wait... Hmm, I still don't know."
Second: "Oh sorry, the oldest one just started to play the piano."
First: "Wonderful! My oldest is the same age!"
How old was the first grad’s daughter?

Asked In Interview Dikesh Kumar Gumansingh (11 years ago)

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(#M40038400) INTERVIEW QUESTION Cubes Keep an EYE

A man has two cubes at his desk. Every day he arranges both cubes so that the front faces show the current day of the month. What numbers are on the faces of the cubes to allow this?

Asked In Interview Dikesh Kumar Gumansingh (11 years ago)

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(#M40038399) INTERVIEW QUESTION Horse rase Keep an EYE

There are 25 horses in a racing competition. You can have race among 5 horses in a particular race. What would be the minimum number of races that will be required to determine the 1st, 2nd and 3rd fastest horses?

Asked In Interview Dikesh Kumar Gumansingh (11 years ago)

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