Thiago's weblog
Friday, July 22, 2005
  Riddles for job interviews
Meu, tava estudando para algumas entrevistas de emprego que eu fiz aqui e descobri algo interessante. Várias empresas aqui (principalmente a Micro$oft pelo que li na internet) usam charadinhas para testar o candidato. Sabe aquelas charadinhas que aparecem no final da super interessante? Entao.. Ainda não me perguntaram nenhuma dessas mas achei algumas na internet e resolvi postar aqui.. ai vai (está em inglês). T+



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

My answer: Fill out the 5 quart pail, use this water to fill out the 3 quert pail. Empty the 3 quart pail, fill out the 5 quart and use it to fill out the 3 quart. There will be exactly 4 quarts in the 5 quart pail.

# If you are on a boat and you throw out a suitcase, will the level of water increase?

My answer: No, because it's as if the suitcase was already on the sea (but inside the boat). The boat will raise a little tought.

# On an average, how many times would you have to open the Seattle phone book to find a specific name?

My answer: ???

# There are 3 ants at 3 corners of a triangle, they randomly start moving towards another corner. What is the probability that they don't collide?

My answer: 0.5 * 0.5 * 0.5 = 0.125 = 12.5 %

# If you look at a clock and the time is 3:15, what is the angle between the hour and the minute hands? ( The answer to this is not zero!)

My answer: ???

# What new feature would you add to MSWORD if you were hired?

My answer: auto-destruction button

# Why did you pick the school you graduated from?

My answer: It was cheap (for free actually) and also a really good school.

# Why do you want to work for Microsoft?

My answer: I don't

# How many Gas stations are there in the US?

My answer: 280 million people, the biggest number of cars in the world. Let's say that 50% of the population has cars and that there is at least 1 gas station for each 100 cars. 1 400 000 gas stations.

# How would you weigh a plane without using scales?

# How would you move Mt. Everest?

# Two MIT math graduates bump into each other at Fairway on the upper west side. They hadn't seen each other in over 20 years.
The first grad says 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.. hmmmm.., 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!"

Problem: How old are the daughters?

# Why are beer cans tapered at the top and bottom?

# Why is it that hot water in a hotel comes out instantly but at home it takes time?

# How many times a day a clock's hands overlap?

# Mike has $20 more than Todd. How much does each have given that combined they have $21 between them. You can't use fractions in the answer.(Hint: This is a trick question, pay close attention to the condition)

# There are four dogs, each at the counter of a large square. Each of the dogs begins chasing the dog clockwise from it. All of the dogs run at the same speed. All continously adjust their direction so that they are always heading straight towards their clockwise neighbor. How long does it take for the dogs to catch each other? Where does this happen? (Hint: Dog's are moving in a symmetrical fashion, not along the edges of the square).

You have a sheet cake. There is a rectangular piece missing from the inside of the sheet cake. The location of the missing piece is arbitrary. I was told I could assume I had the means to make the cuts. How do you divide the sheet cake into 2 even proportions with 2 cuts?

* 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:
1. How many possible solutions are there?
2. What if we know which 5 letters are being used?
3. 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.
 
Comments:
# On an average, how many times would you have to open the Seattle phone book to find a specific name?

My answer: I guess just one, supposing you can find the name and the names are alphabetically sorted, why would you open it twice?


# If you look at a clock and the time is 3:15, what is the angle between the hour and the minute hands? ( The answer to this is not zero!)

My Answer: The trick here is that the clock move its hour hand during an hour, it isnt digital, it doesn´t jumps from 3 to 4 when the minute changes from 59 to 00. So you must divide the angle from one hour through 4 because 15 minutes are 1/4 from an hour and you will have the angle between the both.

Uma beijoca seu Thiago, só respondi as duas porque sao as que voce ainda tinha dado algum comentário, apesar de que eu nao tenho certeza absoluta de que estejam corretas... Só a do relógio, essa sim...
 
muito massa esse post no seu blog :)

Tva pensando aqui num:

# There are 3 ants at 3 corners of a triangle, they randomly start
moving towards another corner. What is the probability that they don't
collide?

My answer: 0.5 * 0.5 * 0.5 = 0.125 = 12.5 %

nao era 25%? pq tem dois sentidos.. 0.125 para cada um :)

# If you look at a clock and the time is 3:15, what is the angle
between the hour and the minute hands? ( The answer to this is not
zero!)

My answer: ???

1 hora são 360/12 graus = 30 graus.. quando o ponteiro está em 15
minutos, por causa disso o da hora anda 1/4 do percurso até a proxima
hora, logo 1/4 de 30 = 7,5 graus
-> essa eu lembrei dos tempos de colégio!!!!

#How would you weigh a plane without using scales?

I would make this really really huge platform, put this platform
over a big stone (right in the middle).. put the place on one side and
drive cars ( 1.2T cars) to the other side of the platform until it
remain level :) (tipo gangorra.. nao sei em ingles :P)

* 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?

e essa eu ia olhar pro entrevistador, puzzled face, e dizer: do you
take visa? :P serio.. nao faço a menor idéia :P

algumas eu fiquei pensando.. acho que nao tem uma resposta boa né..
ou 100%.. vale tanto raciocionio como criatividade para resovler
problemas insoluveis, talvez.. sei lá!
 
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