Class 6 Exam > Class 6 Questions > Which pair of numbers is co-prime?a)4 and 9b)...
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Which pair of numbers is co-prime?
- a)4 and 9
- b)12 and 15
- c)18 and 24
- d)20 and 30
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 ...
Understanding Co-prime Numbers
Co-prime numbers, also known as relatively prime numbers, are pairs of numbers that have no common factors other than 1. This means their greatest common divisor (GCD) is 1.
Analyzing the Options
Let’s evaluate each pair of numbers to determine if they are co-prime:
Option A: 4 and 9
- Factors of 4: 1, 2, 4
- Factors of 9: 1, 3, 9
- Common factors: 1
Since the only common factor is 1, 4 and 9 are co-prime.
Option B: 12 and 15
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 15: 1, 3, 5, 15
- Common factors: 1, 3
Since they share a common factor (3), they are not co-prime.
Option C: 18 and 24
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Common factors: 1, 2, 3, 6
Since they share multiple common factors, they are not co-prime.
Option D: 20 and 30
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Common factors: 1, 2, 5, 10
Again, since they share multiple common factors, they are not co-prime.
Conclusion
Hence, the only pair that qualifies as co-prime is Option A: 4 and 9. They have no common factors other than 1, making them relatively prime to each other.
Co-prime numbers, also known as relatively prime numbers, are pairs of numbers that have no common factors other than 1. This means their greatest common divisor (GCD) is 1.
Analyzing the Options
Let’s evaluate each pair of numbers to determine if they are co-prime:
Option A: 4 and 9
- Factors of 4: 1, 2, 4
- Factors of 9: 1, 3, 9
- Common factors: 1
Since the only common factor is 1, 4 and 9 are co-prime.
Option B: 12 and 15
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 15: 1, 3, 5, 15
- Common factors: 1, 3
Since they share a common factor (3), they are not co-prime.
Option C: 18 and 24
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Common factors: 1, 2, 3, 6
Since they share multiple common factors, they are not co-prime.
Option D: 20 and 30
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Common factors: 1, 2, 5, 10
Again, since they share multiple common factors, they are not co-prime.
Conclusion
Hence, the only pair that qualifies as co-prime is Option A: 4 and 9. They have no common factors other than 1, making them relatively prime to each other.
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Community Answer
Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 ...
Co-prime numbers have no common factor except 1. 4 and 9 share no common factors other than 1.
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Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 and 30Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 and 30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 and 30Correct answer is option 'A'. Can you explain this answer?.
Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 and 30Correct answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 and 30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which pair of numbers is co-prime?a)4 and 9b)12 and 15c)18 and 24d)20 and 30Correct answer is option 'A'. Can you explain this answer?.
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