Correct option is A
Given:
Let's check all the options:
A. 6 and 35:
The factors of 6 are 1, 2, 3, 6.
The factors of 35 are 1, 5, 7, 35.
(6, 35) = 1 (They are co-prime).
B. 9 and 12:
The factors of 9 are 1, 3, 9.
The factors of 12 are 1, 2, 3, 4, 6, 12.
(9, 12) = 3 (They are not co-prime).
C. 39 and 65:
The factors of 39 are 1, 3, 13, 39.
The factors of 65 are 1, 5, 13, 65.
(39, 65) = 13 (They are not co-prime).
D. 14 and 21:
The factors of 14 are 1, 2, 7, 14.
The factors of 21 are 1, 3, 7, 21.
(14, 21) = 7 (They are not co-prime).
The pair that is co-prime is A) 6 and 35.
Thus, the correct option is (a) 6 and 35.
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