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Where are the mathematicians? Here is a brain teaser: Quantitative Reasoning.
A house wife forgot her bank account PIN CODE which is five digits number, but luckily she remembered some hints on how to recall this PIN.
Here are some of the clue
1) The first digit is a square of the 2nd
2) The sum of the 2nd and 3rd is 10
3) The 4th is equal to the 2nd plus 1
4) The 3rd and the 5th makes 14
5) The sum of all the digits is 30
What is the PIN CODE?
93747
Represent digits as a b c d e
a =b^2
B+c =10
D = b+1
C + e =14
A+b+c+d+e=30
Viz
B^2 + b + (10-b) + (b+1) + e =30
If b^2 has to be an integer, the highest number b can be is 3 with options 0-3.
Only 3 as substitute for B fulfils all the criteria above giving final answer as *93747*
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