Which of the following is a pair of co-primes?Options :A] (16, 62)B] (18, 24)C] (20, 27)D] (23, 92)
Question
Which of the following is a pair of co-primes?
Options :
A] (16, 62)
B] (18, 24)
C] (20, 27)
D] (23, 92)
Solution
The pair of co-primes is (20, 27).
Co-prime numbers are those pairs of numbers which have only 1 as their common factor.
Let's check each option:
A] (16, 62): The factors of 16 are 1, 2, 4, 8, 16 and the factors of 62 are 1, 2, 31, 62. The common factors are 1 and 2, so they are not co-primes.
B] (18, 24): The factors of 18 are 1, 2, 3, 6, 9, 18 and the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The common factors are 1, 2, 3, 6, so they are not co-primes.
C] (20, 27): The factors of 20 are 1, 2, 4, 5, 10, 20 and the factors of 27 are 1, 3, 9, 27. The only common factor is 1, so they are co-primes.
D] (23, 92): The factors of 23 are 1, 23 and the factors of 92 are 1, 2, 4, 23, 46, 92. The common factors are 1 and 23, so they are not co-primes.
So, the pair of co-primes is (20, 27).
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