144 is the square of 12 whereas the rest are cube of certain numbers.

3781 is the odd one out as other numbers contain only odd digits.

Each number except 380 is either one more or one less than the square of a certain number.

315 is the odd one out as the rest all are squares of different numbers.

49 is the only perfect square; rest are just random numbers.

125 is the only perfect cube; rest are random numbers.

27 is the odd one out; rest are prime numbers.

Except (c) in the remaining groups contain only consonants.

Remaining are females.

Liberty is a odd word because liberty means freedom but rest are synonyms of brotherhood.