Correct option is A
Given:
We need to determine which pair of numbers are co-prime. Co-prime numbers have no common factor other than 1.
Concept Used:
Two numbers are co-prime if their (HCF) is 1.
Solution:
(a) (81, 16)
Factors of 81: 1, 3, 9, 27, 81
Factors of 16: 1, 2, 4, 8, 16
Common factor: Only 1 → Co-prime
(b) (363, 77)
HCF(363, 77) = 11 → Not Co-prime
(c) (455, 49):
HCF(455, 49) = 7 → Not Co-prime
(d) (52, 24):
HCF(52, 24) = 4 → Not Co-prime
Thus Option (a) Is correct