You can use POE to find the right answer:
If each of the following fractions were written as a repeating decimal, which would have the longest sequence of different digits?
My question isn't what the correct answer is, but instead what's the best approach to reach the correct answer? Is there no fast method than performing the division for each of the answer choice in order to reach the answer within 2minutes?
Could anyone help regarding the short cut or fast method?
consider (B) --> 1/3=.333 , So, this can not be answer
consider (D) --> 2/3=.666 , so, this can not be answer
Now remaining, (A), (C), (E)
Now, A = 2/11 = .181 (Simple calculation that can be done in head). So , this can not be answer
Remaining (C) and (E) , and the answer is no obvious. If you want to be sure, calculate. If you running out of time, take a 50% shot.
I hope this helps.