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Mae four pairs of co-prime numbers from ...

Mae four pairs of co-prime numbers from the following numbers: 9, 15, 20, 24, 16, 50

A

15 and 16 are co-prime since they have 1 as the only

B

15 and 20 are co-prime since they have 1 as the only

C

15 and 50 are co-prime since they have 1 as the only

D

9 and 16 are co-prime since they have 1 as the only

Text Solution

AI Generated Solution

The correct Answer is:
To find four pairs of co-prime numbers from the given numbers (9, 15, 20, 24, 16, 50), we will follow these steps: ### Step 1: List the factors of each number - **Factors of 9**: 1, 3, 9 - **Factors of 15**: 1, 3, 5, 15 - **Factors of 20**: 1, 2, 4, 5, 10, 20 - **Factors of 24**: 1, 2, 3, 4, 6, 8, 12, 24 - **Factors of 16**: 1, 2, 4, 8, 16 - **Factors of 50**: 1, 2, 5, 10, 25, 50 ### Step 2: Identify pairs of numbers that are co-prime Co-prime numbers are those that have only one common factor, which is 1. 1. **Pair 1: 9 and 20** - Common factors: 1 - HCF(9, 20) = 1 (Co-prime) 2. **Pair 2: 9 and 16** - Common factors: 1 - HCF(9, 16) = 1 (Co-prime) 3. **Pair 3: 9 and 50** - Common factors: 1 - HCF(9, 50) = 1 (Co-prime) 4. **Pair 4: 15 and 16** - Common factors: 1 - HCF(15, 16) = 1 (Co-prime) ### Summary of Co-prime Pairs The four pairs of co-prime numbers are: 1. (9, 20) 2. (9, 16) 3. (9, 50) 4. (15, 16)
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