Quantitative Aptitude :: Simplification - Discussion
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If ab3133ab is divisible by 12.What is the minimum value of (a+b)?
A4
B6
C7
D2
Show Explanation
The Trick is that we should check ab3133ab for its divisibility by 3
A number is divisible by 3 only when the sum of all the digits of that number is divisible by 3 so,
2a+2b+3+1+3+3 = 2a+2b+10 = 2(a+b)+10
Going by options only 4 and 7 satisfy
Then if we put 4 then also it's not divisible by 12 so the final answer is 7
Asked In ::
The Trick is that we should check ab3133ab for its divisibility by 3
A number is divisible by 3 only when the sum of all the digits of that number is divisible by 3 so,
2a+2b+3+1+3+3 = 2a+2b+10 = 2(a+b)+10
Going by options only 4 and 7 satisfy
Then if we put 4 then also it's not divisible by 12 so the final answer is 7
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