Thursday, 9 July 2015

logical deduction - Crack the lock code


Can any one know how to crack this? I got this as a challenge.


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Answer



The code is:



042






Explanations:


One number is correct and is also correctly placed:



2



One number is correct but wrongly placed:



4




Two numbers are correct and wrongly placed:



0 & 2 incorrectly placed



Nothing is correct:



None of them are in the code



One number is correct but wrongly placed:




0



Approach/Thought Process Chosen


682 - One number is correct and well placed



Correct Number's array - 6,8,2
Confirm Number's array -



614 - One number is correct but wrong placed




Correct Number's array - 8,2,1,4(6 is removed since this clue contradicts the previous one and hence 6 should not be present even in the code-The position of 6 is same in Clue 1 and 2 which mean's it can be pushed out of scope)
Confirm Number's array -



206 - Two Numbers are correct but wrong placed



Correct Number's array - 8,2,1,4,0
Confirm Number's array - 0_2(Since 6 is out of scope, consider 2 and 0 to be in the confirm array list and clue 1 says 2 is well placed )



738 - Nothing is correct




Correct Number's array - 0,2,1,4(8 is removed from the array)
Confirm Number's array - 0_2



780 - One Number is correct but wrong placed



Correct Number's array - 0,2,4(Clues 3 and 5 confirms the position of 0 to be the first. Clues 1 confirms the position of 2. Clue 2 confirms the position of 4 and hence 1 is removed from the list)
Confirm Number's array - 042



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