Microsoft Placement Paper Candidate Experiences Mumbai-27 Nov 2005

Posted by FreshersWorld

7 Jan, 2012

MICROSOFT PAPER AND PATTERN

The following are actual questions from actual interviews conducted by Microsoft employees on the main campus. Microsoft Consultants are sometimes allowed to have a life, so questions asked of them during interviews don't really count and aren't listed.

The questions tend to follow some basic themes: Riddles Algorithms Applications Thinkers

Riddles Why is a manhole cover round? How many cars are there in the USA? (A popular variant is "How many gas stations are there in the USA?") How many manhole covers are there in the USA? 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? 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? 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? 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? 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? 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.' 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. Suppose you had 8 billiard balls, and one of them was slightly heavier, but the only way to tell was by putting it on a scale against another. What's the fewest number of times you'd have to use the scale to find the heavier ball? Imagine you are standing in front of a mirror, facing it. Raise your left hand. Raise your right hand. Look at your reflection. When you raise your left hand your reflection raises what appears to be his right hand. But when you tilt your head up, your reflection does too, and does not appear to tilt his/her head down. Why is it that the mirror appears to reverse left and right, but not up and down? You have 4 jars of pills. Each pill is a certain weight, except for contaminated pills contained in one jar, where each pill is weight + 1. How could you tell which jar had the contaminated pills in just one measurement? 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? Develop an algorithm to solve the word. There are 4 women who want to cross a bridge. They all begin on the same side. You have 17 minutes to get all of them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either 1 or 2 people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc. Each woman walks at a different speed. A pair must walk together at the rate of the slower woman's pace.

Woman 1: 1 minute to cross Woman 2: 2 minutes to cross Woman 3: 5 minutes to cross Woman 4: 10 minutes to cross

For example if Woman 1 and Woman 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Woman 4 then returns with the flashlight, a total of 20 minutes have passed and you have failed the mission. What is the order required to get all women across in 17 minutes? Now, what's the other way? If you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts? You have a bucket of jelly beans. Some are red, some are blue, and some green. With your eyes closed, pick out 2 of a like color. How many do you have to grab to be sure you have 2 of the same? If you have two buckets, one with red paint and the other with blue paint, and you take one cup from the blue bucket and poor it into the red bucket. Then you take one cup from the red bucket and poor it into the blue bucket. Which bucket has the highest ratio between red and blue? Prove it mathematically. Algorithms What's the difference between a linked list and an array? Implement a linked list. Why did you pick the method you did? Implement an algorithm to sort a linked list. Why did you pick the method you did? Now do it in O(n) time. Describe advantages and disadvantages of the various stock sorting algorithms. Implement an algorithm to reverse a linked list. Now do it without recursion. Implement an algorithm to insert a node into a circular linked list without traversing it. Implement an algorithm to sort an array. Why did you pick the method you did? Implement an algorithm to do wild card string matching. Implement strstr() (or some other string library function). Reverse a string. Optimize for speed. Optimize for space. Reverse the words in a sentence, i.e. "My name is Chris" becomes "Chris is name My." Optimize for speed. Optimize for space. Find a substring. Optimize for speed. Optimize for space. Compare two strings using O(n) time with constant space. Suppose you have an array of 1001 integers. The integers are in random order, but you know each of the integers is between 1 and 1000 (inclusive). In addition, each number appears only once in the array, except for one number, which occurs twice. Assume that you can access each element of the array only once. Describe an algorithm to find the repeated number. If you used auxiliary storage in your algorithm, can you find an algorithm that does not require it? Count the number of set bits in a number. Now optimize for speed. Now optimize for size. Multiple by 8 without using multiplication or addition. Now do the same with 7. Add numbers in base n (not any of the popular ones like 10, 16, 8 or 2 -- I hear that Charles Simonyi, the inventor of Hungarian Notation, favors -2 when asking this question). Write routines to read and write a bounded buffer. Write routines to manage a heap using an existing array. Implement an algorithm to take an array and return one with only unique elements in it. Implement an algorithm that takes two strings as input, and returns the intersection of the two, with each letter represented at most once. Now speed it up. Now test it. Implement an algorithm to print out all files below a given root node. Given that you are receiving samples from an instrument at a constant rate, and you have constant storage space, how would you design a storage algorithm that would allow me to get a representative readout of data, no matter when I looked at it? In other words, representative of the behavior of the system to date. How would you find a cycle in a linked list? Give me an algorithm to shuffle a deck of cards, given that the cards are stored in an array of ints. The following asm block performs a common math function, what is it?

cwd xor ax, dx sub ax, dx Imagine this scenario: I/O completion ports are communictaions ports which take handles to files, sockets, or any other I/O. When a Read or Write is submitted to them, they cache the data (if necessary), and attempt to take the request to completion. Upon error or completion, they call a user-supplied function to let the users application know that that particular request has completed. They work asynchronously, and can process an unlimited number of simultaneous requests. Design the implementation and thread models for I/O completion ports. Remember to take into account multi-processor machines. Write a function that takes in a string parameter and checks to see whether or not it is an integer, and if it is then return the integer value. Write a function to print all of the permutations of a string. Implement malloc. Write a function to print the Fibonacci numbers. Write a function to copy two strings, A and B. The last few bytes of string A overlap the first few bytes of string B. How would you write qsort? How would you print out the data in a binary tree, level by level, starting at the top? Applications How can computer technology be integrated in an elevator system for a hundred story office building? How do you optimize for availability? How would variation of traffic over a typical work week or floor or time of day affect this? How would you implement copy-protection on a control which can be embedded in a document and duplicated readily via the Internet? Define a user interface for indenting selected text in a Word document. Consider selections ranging from a single sentence up through selections of several pages. Consider selections not currently visible or only partially visible. What are the states of the new UI controls? How will the user know what the controls are for and when to use them? How would you redesign an ATM? Suppose we wanted to run a microwave oven from the computer. What kind of software would you write to do this? What is the difference between an Ethernet Address and an IP address? How would you design a coffee-machine for an automobile. If you could add any feature to Microsoft Word, what would it be? How would you go about building a keyboard for 1-handed users? How would you build an alarm clock for deaf people? Thinkers How are M&Ms made? If you had a clock with lots of moving mechanical parts, you took it apart piece by piece without keeping track of the method of how it was disassembled, then you put it back together and discovered that 3 important parts were not included; how would you go about reassembling the clock? If you had to learn a new computer language, how would you go about doing it? You have been assigned to design Bill Gates bathroom. Naturally, cost is not a consideration. You may not speak to Bill. What was the hardest question asked of you so far today? If MS told you we were willing to invest $5 million in a start up of your choice, what business would you start? Why? If you could gather all of the computer manufacturers in the world together into one room and then tell them one thing that they would be compelled to do, what would it be? Explain a scenario for testing a salt shaker. If you are going to receive an award in 5 years, what is it for and who is the audience? How would you explain how to use Microsoft Excel to your grandma? Why is it that when you turn on the hot water in any hotel, for example, the hot water comes pouring out almost instantaneously? Why do you want to work at Microsoft? Suppose you go home, enter your house/apartment, hit the light switch, and nothing happens - no light floods the room. What exactly, in order, are the steps you would take in determining what the problem was? Interviewer hands you a black pen and says nothing but "This pen is red."

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MICROSOFT PAPER AND PATTERN

Microsoft employees on the main campus. Microsoft Consultants are

sometimes allowed to have a life, so questions asked of them during

interviews don't really count and aren't listed.

The questions tend to follow some basic themes:

Riddles

Algorithms

Applications

Thinkers

Riddles

Why is a manhole cover round?

How many cars are there in the USA? (A popular variant is "How many gas

stations are there in the USA?")

How many manhole covers are there in the USA?

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?

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?

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?

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?

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?

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.'

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.

Suppose you had 8 billiard balls, and one of them was slightly heavier,

but the only way to tell was by putting it on a scale against another.

What's the fewest number of times you'd have to use the scale to find

the heavier ball?

Imagine you are standing in front of a mirror, facing it. Raise your

left hand. Raise your right hand. Look at your reflection. When you

raise

your left hand your reflection raises what appears to be his right

hand. But when you tilt your head up, your reflection does too, and

does

not appear to tilt his/her head down. Why is it that the mirror appears

to reverse left and right, but not up and down?

You have 4 jars of pills. Each pill is a certain weight, except for

contaminated pills contained in one jar, where each pill is weight + 1.

How could you tell which jar had the contaminated pills in just one

measurement?

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?

Develop an algorithm to solve the word.

There are 4 women who want to cross a bridge. They all begin on the

same side. You have 17 minutes to get all of them across to the other

side. It is night. There is one flashlight. A maximum of two people can

cross at one time. Any party who crosses, either 1 or 2 people, must

have

the flashlight with them. The flashlight must be walked back and forth,

it cannot be thrown, etc. Each woman walks at a different speed. A pair

must walk together at the rate of the slower woman's pace.

Woman 1: 1 minute to cross

Woman 2: 2 minutes to cross

Woman 3: 5 minutes to cross

Woman 4: 10 minutes to cross

For example if Woman 1 and Woman 4 walk across first, 10 minutes have

elapsed when they get to the other side of the bridge. If Woman 4 then

returns with the flashlight, a total of 20 minutes have passed and you

have failed the mission. What is the order required to get all women

across in 17 minutes? Now, what's the other way?

If you had an infinite supply of water and a 5 quart and 3 quart pail,

how would you measure exactly 4 quarts?

You have a bucket of jelly beans. Some are red, some are blue, and some

green. With your eyes closed, pick out 2 of a like color. How many do

you have to grab to be sure you have 2 of the same?

If you have two buckets, one with red paint and the other with blue

paint, and you take one cup from the blue bucket and poor it into the

red

bucket. Then you take one cup from the red bucket and poor it into the

blue bucket. Which bucket has the highest ratio between red and blue?

Prove it mathematically.

Algorithms

What's the difference between a linked list and an array?

Implement a linked list. Why did you pick the method you did?

Implement an algorithm to sort a linked list. Why did you pick the

method you did? Now do it in O(n) time.

Describe advantages and disadvantages of the various stock sorting

algorithms.

Implement an algorithm to reverse a linked list. Now do it without

recursion.

Implement an algorithm to insert a node into a circular linked list

without traversing it.

Implement an algorithm to sort an array. Why did you pick the method

you did?

Implement an algorithm to do wild card string matching.

Implement strstr() (or some other string library function).

Reverse a string. Optimize for speed. Optimize for space.

Reverse the words in a sentence, i.e. "My name is Chris" becomes "Chris

is name My." Optimize for speed. Optimize for space.

Find a substring. Optimize for speed. Optimize for space.

Compare two strings using O(n) time with constant space.

Suppose you have an array of 1001 integers. The integers are in random

order, but you know each of the integers is between 1 and 1000

(inclusive). In addition, each number appears only once in the array,

except

for one number, which occurs twice. Assume that you can access each

element of the array only once. Describe an algorithm to find the

repeated

number. If you used auxiliary storage in your algorithm, can you find

an

algorithm that does not require it?

Count the number of set bits in a number. Now optimize for speed. Now

optimize for size.

Multiple by 8 without using multiplication or addition. Now do the same

with 7.

Add numbers in base n (not any of the popular ones like 10, 16, 8 or 2

-- I hear that Charles Simonyi, the inventor of Hungarian Notation,

favors -2 when asking this question).

Write routines to read and write a bounded buffer.

Write routines to manage a heap using an existing array.

Implement an algorithm to take an array and return one with only unique

elements in it.

Implement an algorithm that takes two strings as input, and returns the

intersection of the two, with each letter represented at most once. Now

speed it up. Now test it.

Implement an algorithm to print out all files below a given root node.

Given that you are receiving samples from an instrument at a constant

rate, and you have constant storage space, how would you design a

storage algorithm that would allow me to get a representative readout

of

data, no matter when I looked at it? In other words, representative of

the

behavior of the system to date.

How would you find a cycle in a linked list?

Give me an algorithm to shuffle a deck of cards, given that the cards

are stored in an array of ints.

The following asm block performs a common math function, what is it?

cwd xor ax, dx

sub ax, dx

Imagine this scenario:

I/O completion ports are communictaions ports which take handles to

files, sockets, or any other I/O. When a Read or Write is submitted to

them, they cache the data (if necessary), and attempt to take the

request

to completion. Upon error or completion, they call a user-supplied

function to let the users application know that that particular request

has

completed. They work asynchronously, and can process an unlimited

number of simultaneous requests.

Design the implementation and thread models for I/O completion ports.

Remember to take into account multi-processor machines.

Write a function that takes in a string parameter and checks to see

whether or not it is an integer, and if it is then return the integer

value.

Write a function to print all of the permutations of a string.

Implement malloc.

Write a function to print the Fibonacci numbers.

Write a function to copy two strings, A and B. The last few bytes of

string A overlap the first few bytes of string B.

How would you write qsort?

How would you print out the data in a binary tree, level by level,

starting at the top?

Applications

How can computer technology be integrated in an elevator system for a

hundred story office building? How do you optimize for availability?

How

would variation of traffic over a typical work week or floor or time of

day affect this?

How would you implement copy-protection on a control which can be

embedded in a document and duplicated readily via the Internet?

Define a user interface for indenting selected text in a Word document.

Consider selections ranging from a single sentence up through

selections of several pages. Consider selections not currently visible

or only

partially visible. What are the states of the new UI controls? How will

the user know what the controls are for and when to use them?

How would you redesign an ATM?

Suppose we wanted to run a microwave oven from the computer. What kind

of software would you write to do this?

What is the difference between an Ethernet Address and an IP address?

How would you design a coffee-machine for an automobile.

If you could add any feature to Microsoft Word, what would it be?

How would you go about building a keyboard for 1-handed users?

How would you build an alarm clock for deaf people?

Thinkers

How are M&Ms made?

If you had a clock with lots of moving mechanical parts, you took it

apart piece by piece without keeping track of the method of how it was

disassembled, then you put it back together and discovered that 3

important parts were not included; how would you go about reassembling

the

clock?

If you had to learn a new computer language, how would you go about

doing it?

You have been assigned to design Bill Gates bathroom. Naturally, cost

is not a consideration. You may not speak to Bill.

What was the hardest question asked of you so far today?

If MS told you we were willing to invest $5 million in a start up of

your choice, what business would you start? Why?

If you could gather all of the computer manufacturers in the world

together into one room and then tell them one thing that they would be

compelled to do, what would it be?

Explain a scenario for testing a salt shaker.

If you are going to receive an award in 5 years, what is it for and who

is the audience?

How would you explain how to use Microsoft Excel to your grandma?

Why is it that when you turn on the hot water in any hotel, for

example, the hot water comes pouring out almost instantaneously?

Why do you want to work at Microsoft?

Suppose you go home, enter your house/apartment, hit the light switch,

and nothing happens - no light floods the room. What exactly, in order,

are the steps you would take in determining what the problem was?

Interviewer hands you a black pen and says nothing but "This pen is

red."