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Microsoft Placement Papers with Solution Page 6

(#M40000208) MICROSOFT QUESTION Keep an EYE

If you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts?

Asked In Microsoft Naveen (14 years ago)

Unsolved Read Solution (9)

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(#M40000219) MICROSOFT QUESTION Keep an EYE

You've got someone working for you for seven days and a gold bar to pay them. The gold bar is segmented into seven connected pieces. You must give them a piece of gold at the end of every day. If you are only allowed to make two breaks in the gold bar, how do you pay your worker?

Asked In Microsoft Naveen (15 years ago)

Solved Vadivelan M Read Solution (4)

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(#M40000095) MICROSOFT QUESTION Keep an EYE

You have two jars, 50 red marbles and 50 blue marbles. A jar will be picked at random, and then a marble will be picked from the jar. Placing all of the marbles in the jars, how can you maximize the chances of a red marble being picked? What are the exact odds of getting a red marble using your scheme?

Asked In Microsoft (15 years ago)

Solved Vadivelan M Read Solution (4)

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(#M40000212) MICROSOFT QUESTION Keep an EYE

The SF Chronicle has a word game where all the letters are scrambled up and you have to figure out what the word is. Imagine that a scrambled word is 5 characters long: How many possible solutions are there? What if we know which 5 letters are being used?

Asked In Microsoft Naveen (15 years ago)

Solved Tijo Jose Read Solution (3)

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(#M40000217) MICROSOFT QUESTION Keep an EYE

Imagine a disk spinning like a record player turn table. Half of the disk is black and the other is white. Assume you have an unlimited number of color sensors. How many sensors would you have to place around the disk to determine the direction the disk is spinning? Where would they be placed?

Asked In Microsoft Naveen (15 years ago)

Solved B.Rajashekar Read Solution (3)

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(#M40000216) MICROSOFT QUESTION Keep an EYE

Imagine an analog clock set to 12 o'clock. Note that the hour and minute hands overlap. How many times each day do both the hour and minute hands overlap? How would you determine the exact times of the day that this occurs?

Asked In Microsoft Naveen (15 years ago)

Solved C.T.Narayanan Read Solution (6)

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(#M40000215) MICROSOFT QUESTION Keep an EYE

Pairs of primes separated by a single number are called prime pairs.
Examples are 17 and 19.
Prove that the number between a prime pair is always divisible by 6 (assuming both numbers in the pair are greater than 6). Now prove that there are no prime triples.

Asked In Microsoft Naveen (15 years ago)

Solved Tijo Jose Read Solution (3)

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(#M40000214) MICROSOFT QUESTION Keep an EYE

There is a room with a door (closed) and three light bulbs. Outside the room there are three switches, connected to the bulbs. You may manipulate the switches as you wish, but once you open the door you can't change them. Identify each switch with its bulb.

Asked In Microsoft Naveen (15 years ago)

Solved Tijo Jose Read Solution (2)

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(#M40000094) MICROSOFT QUESTION Keep an EYE

One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?

Solution

This is an infinite round problem means the bird will complete infinite rounds in this manner now for finding the total distance traveled by the bird let us consider the total distance between the two given stations as L. Here since the distance between these two stations is not given so answer will be in terms of L.
speed of the two trains moving in opposite directions are 15 mph and 20 mph.
so time taken for the collision between the trains will be L/(15+20) = L/35
In this much time the bird will move 25*L/35 miles = 5L/7 miles

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Asked In Microsoft (15 years ago)

Solved Read Solution (2)

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(#M40000093) MICROSOFT QUESTION Keep an EYE

You have 8 balls. One of them is defective and weighs less than others. You have a balance to measure balls against each other. In 2 weighings how do you find the defective one?

Asked In Microsoft (15 years ago)

Solved Sanal Jose Read Solution (4)

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