A prime number is defined as a number that has no factor other than 1 and itself.
and
The co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.
So let's solve the question option wise
Option A: ( 11, 27) Factor that divides both of them is 1
Option B: (14, 63) Factors that divides both oh them are 1,7.
Option C: (18, 27) Factors that divide both of them are 1,3
Option C: (21, 84) Factors that divide both oh them are 1,21
So (11, 27) are co-prime numbers.