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Which of the following is a pair of co-prime numbers?
Question

Which of the following is a pair of co-prime numbers?

A.

81, 16

B.

363, 77

C.

455, 49

D.

52, 24

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

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