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Which of the following pairs are co-prime?

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8, 12

9, 10

6, 8

15, 18

answer is A.

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Detailed Solution

Co-primes are those two numbers whose HCF is 1.
From option (1), we have,
The factors of 8 and 12 are:

8 = 1 × 23 12 = 1 × 22 × 3

The HCF is

22 .

So, 8 and 12 are not coprime.
From option (2), we have,
The factors of 9 and 10 are:

9 = 1 × 32 10 = 1 × 2 × 5

The HCF is 1.
So, 9 and 10 are co-prime.
From option (3), we have,
The factors of 6 and 8 are:

6 = 1 × 2 × 3 8 = 1 × 23

The HCF is 2.
So, 6 and 8 are not coprime.
From option (4), we have,
The factors of 15 and 18 are:

15 = 1 × 3 × 5 18 = 1 × 2 × 32

The HCF is 3.
So, 15 and 18 are not coprime.
As 9 and 10 are co-prime, thus option (2) is correct.

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