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  #21  
Old 02-04-2018, 03:04 PM
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PeppermintPatty PeppermintPatty is offline
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Pretty sure 50 pounds is correct. Second problem I don't know the answer but seems clear to me I could solve it if I was interested, and would be somewhat tedious (there's perhaps a clean, non-tedious solution but I don't see it). Third problem I'm curious because I don't see that the number changes when you break it into pieces so I assume I'm missing something.
I think they are looking for the average number of blue sides per little 1-by-1 cubie.

So, number of blue sides is 2*3*2+2*4*2+2*3*4, and the number of white sides is all the interior sides when you break it up, or 6*2*3*+4*2*4+2*3*4, calculate both of those and..

Actually, you just need the first number, because the total faces of the broken up cubies is 6*2*3*4, so the first number divided by that.

(If I did the set up right, those should give the same answer, of course.)
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  #22  
Old 02-04-2018, 03:08 PM
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2. 72.5 degrees.

3. 52/24 = Surface Area / Volume, for all one-colored instances and cubes of size 1.
Each Blue surface area is of size 1, and the number of blue surface areas of size 1 equals the Total Surface Area.
The number of cubes of size 1 is equal to the volume.

But yes, you might be asked how you come up with the answer to the questions.

Lastly, these are not "brain teasers.""Brain teasers," per se, would not require pencil and paper. I did these two with pencil and paper as they are medium-level math problems.
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  #23  
Old 02-04-2018, 03:33 PM
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I don't read any implication that the problems they are hiring you to solve are in any way similar to the problems that they interview. Why do you assume that to be the case? I don't think this "proprietary" trading firm is measuring grape dehydration as part of their trading.
my bad, was thinking of a different interview type i heard of in data science
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  #24  
Old 02-04-2018, 07:15 PM
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sounds like the kind where they ask you questions and you need to use the ol' noggin to think of something before answering. so like any interview? I guess?
Big, if true
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  #25  
Old 02-05-2018, 10:04 AM
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Why is #1 50 pounds?
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  #26  
Old 02-05-2018, 10:40 AM
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1. A pack of grapes weighing 100 pounds has a water content of 96%. It has now been dried to 92% water content. How much does the pack of grapes weigh now?

2. What is the angle made by the hour and the minute hand when the time is 7:25?

3. A 2x3x4 brick is painted blue. It is then broken into cubes of 1x1x1. What is the expected value of the number of blue sides of all the resulting 1x1x1 cubes?
My initial answers to these problems:
  1. Is this percentage based on weight or volume?

  2. Is this on a digital or analog clock?

  3. surface area of the aggregated object / volume of aggregated object
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  #27  
Old 02-05-2018, 10:41 AM
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Why is #1 50 pounds?
Because the answer to anything is 42. But they got hungry so they ate the grapes.

42 + 8 = 50

Q.E.D.
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  #28  
Old 02-05-2018, 10:51 AM
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Why is #1 50 pounds?
At first, there is 96 pounds (96% of 100 pounds) of water and 4 pounds of not-water.
After shrinkage, there is an unknown amount of water (92% of X pounds) and 4 pounds of non water, the sum of which is X pounds.

So, 0.92X + 4 = X.

Solve for X.
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  #29  
Old 02-05-2018, 10:59 AM
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Why is #1 50 pounds?
Because of math.
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  #30  
Old 02-05-2018, 11:21 AM
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There are obviously 4 pounds of solid matter in the grapes.
Let W=pounds of water in the grapes after drying out

W/(4+W) = 92%

W=46

Total weight=4+W=50
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