Quiz for programmer

9.9.04

Last week I took a little quiz somewhere to prove my programming ability. Most questions were tricky and puzzling, and maths related. May be the organizer thinks a skillful/ proficient developer must be good at maths and speculation. Hmm... I should be marked as the incapable and unqualified one.
Here are some I met in the quiz:

Q1. People takes 8 hours to fill up a bucket.
But now people need 10 hours to fill up the bucket due to the leak at the bottom.
So How many hours is needed for the bucket to leak out all water?

Q2. 1/1018 - 1/1020 = ?

Q3. What is the next number of 4, 16, 36, 64, ... ?


Comments:
Q1
8x = V ----- (1)
10(x-y) = V ----- (2)
ky = V
what is k?
take x = 6, V = 24
then 10(6-y) = 24, y =0.6
k(0.6) = 24
k =40

Q2
1020 - 1018 / 1020*1018
= 1/(510*1018)

Q3
4, 16, 36, 64
=2*2, 4*4, 6*6, 8*8, 10*10
=100

Add oil, your good colleague!

posted by Anonymous Anonymous : 9/12/2004 12:50 AM
Thanks your solution, my *good* colleague!!
I could only answer Q1 and Q3 correctly :(
For Q3, I solved in this way:
4,  16,  36,  64,  ...
   \/    \/    \/    \/
  12    20    28    X <-- the difference between 2 numbers
      \/    \/     \/
      8      8      Y <-- the difference between 2 numbers

So I guessed Y=8, X=36, and the number is 64+36 = 100
At least I thought in a very systematic way, right?

posted by Blogger Gloria : 9/12/2004 1:32 AM
Thanks your solution, my *good* colleague!!
I could only answer Q1 and Q3 correctly :(
For Q3, I solved in this way:
4,  16,  36,  64,  ...
   \/    \/    \/    \/
  12   20   28    X <-- the difference between 2 numbers
      \/    \/    \/
      8     8     Y <-- the difference between 2 numbers
So I guessed Y=8, X=36, and the number is 64+36 = 100
At least I thought in a very systematic way, right?

posted by Blogger Gloria : 9/12/2004 1:40 AM
Yup. your thinking is clear~
You have potential to be a good programmer. Especially your hard working, don't give up.

haha

posted by Anonymous Anonymous : 9/12/2004 8:45 PM
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