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Two identical taps fill 2/5 of a tank in 20 minutes 
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#1
Apr510, 10:49 PM

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So a particularly dumb client has decided that before I can work for them I have to pass a high school maths test.
Never having had to do US school tests I looked at some practice questions, including: "Two identical taps fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank ?" Brilliantly ambiguous question If they mean that two taps together have filled 2/5 (40%) of the tank in 20mins, then each fills 20% in 20mins, ie 1%/min and so one will take 60mins to fill the remaining 60%. If they mean that each of the taps alone fill 2/5 (40%) in 20mins, then each fills 2%/min and then one will fill the remaining 20% in 10min. Or if you assume they are connected to the same water supply so that when one stops the other doubles in flow then you have either 30mins or 5mins. The 'correct' answer apparently is 15mins? 


#2
Apr610, 12:09 AM

P: 163

You might be better of not working with said client... I'd hate for them to claim they paid you enough when in fact, they had not :S  and their contract is as ambiguous as the problem. 


#3
Apr610, 03:10 AM

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No wonder why maths is hard!



#4
Apr610, 06:58 AM

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Two identical taps fill 2/5 of a tank in 20 minutes
maybe its the average of all your different answers ;)



#5
Apr610, 08:32 AM

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Apparently this is test (GMAT) used by US schools to decide who does an MBA!
That would certainly explain a lot about the recent events on wall St. 


#6
Apr610, 09:47 AM

P: 215

Is this question anyway related to Bernoulli's principle



#7
Apr610, 10:11 AM

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#8
Apr610, 10:32 AM

P: 215

but I've read that bernoulli's theorem works best with low viscous liquid like water.



#9
Apr610, 04:18 PM

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Since it's a multiple choice question supposedly aimed at testing the mental arithmetic of MBA students I'm guessing that nonlinear computation fluid dynamics effects aren't a major consideration.
However I'm guessing that idiots setting this are basing their selection on "the computer says C so that mist be right  it's a computer". If anyone has read Neal Stephenson's Cryptomnicon there is a brilliant example of this. The hero joins the navy and is set a simple ferryman problem as an IQ test  he assumes it can't be that simple and spends the entire exam developing a totally new theory of calculus of fluid flows. Because he didn't answer any question he is graded F and sent to play in a band, arriving at Pearl Harbor just as his paper appears in the maths journal. 


#10
Apr610, 10:46 PM

P: 215

But for all those who wants to have some exercise of their brain, I've a question for You. Try to solve this question without using any knowledge of Physics. You'll find it very interesting. "Three students are standing in a queue. A person came with a box containing two black hats and three white hats. He randomly put hats on their head and asked the students not to turn back neither to look up for the hat color. Now he started asking from the guy at the back for the color of the hat on his head but he can’t answer, then he asked from the second but he also can’t answer and when he asked from the next student (who was in the front of the queue), he answered correctly with complete explanation. Now think you are that student and I’m expecting the same answer from You." 


#11
Apr610, 11:18 PM

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white



#12
Apr610, 11:19 PM

P: 215

used probability? Tell me how you've made this conclusion.



#13
Apr710, 01:08 AM

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3rd guy doesn't know what he is, so both in front can't have B (black), giving options:
1st W W B 2nd W B W 3rd ? If 1st was B, then 2nd would know he is W... means 1st guy must be W 


#14
Apr710, 01:53 AM

P: 215

lanedance, You really have a very high IQ level. I took about half an hour of constant thinking to solve this problem. How much time you took? According to my estimate you have solved this riddle in less than 5 minutes. Do you have heard this riddle before I've posted?



#15
Apr710, 06:05 AM

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But as future reference, if someone is giving you a riddle to solve, surely they would have heard about it and solved it beforehand. 


#16
Apr810, 04:49 PM

P: 1,403




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