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Here i will randomly choose question from Previous year papers and provide solutions to it that will be helpful for Exam preparation.

Answer:   D

Any system with base "Z" consist of elements equal to Z (e.g suppose Z=2 i.e. binary it will consist of 2 elements as 0 and 1) and magnitude of element in collection must be maximum upto Z-1

(e.g. suppose Z=2 as consider above then maximum amplitude that an element possesses in this base is "1" [Z-1=2-1=1]).

Consider above problem, number given is 132 so max. amplitude element is "3" so base should be 

Z-1=3

Z=4

so base should be at least 4 to represent 132.so base 2 is invalid since it is less than 4.