A Question from a child

pwine

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My daughter needs to know the answer to this riddle by tommorow if anyone can help???

If you were downstairs and there were 3 lighbulbs upstairs and 3 light switches downstairs and you can only go upstairs ONCE how do you find out which switch goes with each lightbulb???


Thanks for any help
 

MadJack

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go upstairs during the day time :D
 

marine

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simple. Think outside the box.

turn on one switch. wait 5 minutes.
turn that switch off.
turn on another switch.
walk upstairs

the light that it on is the switch you just turned on.
the light bulb that is warm is the switch you left on for 5 minutes and shut off
the light bulb that is cold is the 3rd untouched switch.

or

you can flip a switch once, go up and look
then flip another switch and ask someone else to go check for you.
 

MadJack

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Easily enough, just turn two of the light switches on. Wait a while, and then turn one of them off, then quickly enter the room. One light will be on, one off, and one off but still hot.
 

MadJack

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MadJack said:
Easily enough, just turn two of the light switches on. Wait a while, and then turn one of them off, then quickly enter the room. One light will be on, one off, and one off but still hot.
this IS the correct answer.
 

MadJack

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now i see marine had it too. a little different but still works.
 

neverteaseit

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OK turn middle switch on and leave for 60seconds or so.
Turn it off.
Turn right hand switch on, go upstairs, if the light bulb is on, its the right switch, if the light bulb is warm, its the middle switch, if its cold its the left hand switch

I THINK THIS IS RIGHT. I am pretty sure that is how u solve it.
 

pwine

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Thank you all for your help. As soon as we couldnt figure it out I knew this great site would, and thanks MJ for all the work you do on here.
 

marine

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what do you do jack, wait for me to post the answer and then echo me? make sure you are quoting me and giving me my royalties on it.

as an aside, there are many variations of correct answers here. This question is designed to test your ability to be creative and take what you are given and come up with something. You are not given any boundaries at all with this. Surprised your kid came home with it - The Boston Consulting Group, a pretty high end firm, tosses a question like this in during its interview process to see how well you think creatively.
 

marine

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2 other case samples they throw at you:

Q: How many pay phones are there on the island of Manhattan?

A: A logical place to begin your analysis might be to ballpark the number of pay phones on Manhattan street corners. If you think of New York City as a grid of streets, you might guess it is about 300 streets long (north to south) by ten streets wide (east to west), so it has approximately 3,000 intersections. You might then assume there is one pay phone for every two intersections, for a total of about 1,500 pay phones.

If you?re feeling really creative, you might subtract the number of intersections that are ?invalidated? because they fall in the area of Central Park. Say Central Park is ten blocks long by two blocks wide, or 20 intersections. Using your one-pay-phone-for-every-two-intersections assumption, you would want to subtract ten pay phones from the original 1,500.

You might then add to the 1,490 the number of pay phones that might be found in restaurants, hotels, schools, hospitals, and office-building lobbies.

Q: How many hotel-sized bottles of shampoo and conditioner are produced each year around the world?

A: You might begin by assuming that hotel-sized bottles are produced for two purposes only:

1. To supply hotels and upscale motels
2. To provide samples for gift packs, salons, and so on

You would then want to start by estimating the number of hotels and motels around the world that offer the products to their guests. One way of estimating the number of hotels is to assume that hotels are found predominantly in major cities and resorts. Figure that there are 2,000 major cities and resorts around the world, an average of ten for each of the world?s approximately 200 countries. Assume that each city averages 20 hotels that offer bottled hair products to their guests. Multiplying 20 by 2,000 gives you 40,000 hotels around the world that require shampoo and/or conditioner for their guests.

To understand how many bottles of shampoo and conditioner the 40,000 hotels require, you now need to estimate the total number of uses each hotel on average represents. You can arrive at that number through the following calculation: assume that there are 100 rooms in each hotel, and that those rooms are occupied 50 percent of the time. Multiplying 40,000 by 100 by 0.5 by 365 (don?t forget the number of days in the year!) gives you approximately 750 million.

However, it is probably reasonable to assume that a guest staying for longer than a day will not use a whole shampoo bottle every day. If you assume that an average of one shampoo bottle is used for every two occupied days in a given room, you can now divide your 750 million estimate in half to 375 million. To get to the number of bottles of conditioner, estimate a ratio between the use of shampoo and the use of conditioner. Since many of us do not condition every time we shampoo, you might assume that the ratio is 2:1. Dividing 375 million in half gives you approximately 190 million. Your conclusion would then be that 375 million bottles of shampoo and 190 million bottles of conditioner are required for hotel use every year.

To estimate the total market size, you can probably make things easy on yourself by assuming that the number produced for sample purposes is a small percentage of the total, say ten percent. Combining your two markets would give you approximately 400 million bottles of shampoo and 210 million bottles of conditioner.

Finally, you might want to ?reality check? your total figure. Assuming 610 million bottles are produced and sold each year at an average price of 25 cents each, the worldwide market for miniature bottles of shampoo and conditioner is about $150 million. Does that sound reasonable?
 
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