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Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:
1) Both p and q may be prime numbers.
2) Both p and q may be composite numbers
3) one of p and q may be prime and the other composite.
Which of the above statements are correct?
1) Both p and q may be prime numbers.
2) Both p and q may be composite numbers
3) one of p and q may be prime and the other composite.
Which of the above statements are correct?
- a)1 and 2 only
- b)2 and 3 only
- c)1 and 3 only
- d)1, 2 and 3
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Consider the following statements in respect of two integers p and q (...
All the given statements are true. The following are the examples for all the statements
Statement 1: Both p and q may be prime numbers. E.g. 3 and 5
Statement 2 : Both p and q may be composite numbers. E.g. 4 and 9
Statement 3 : One of p and q may be prime and the other composite. E.g. 7 and 12
Statement 1: Both p and q may be prime numbers. E.g. 3 and 5
Statement 2 : Both p and q may be composite numbers. E.g. 4 and 9
Statement 3 : One of p and q may be prime and the other composite. E.g. 7 and 12
Most Upvoted Answer
Consider the following statements in respect of two integers p and q (...
Positive):
1. If p is a factor of q, then q is a multiple of p.
2. If p and q are both prime numbers, then their product pq is also a prime number.
Statement 1 is true. If p is a factor of q, then q can be written as p multiplied by some other integer. Therefore, q is a multiple of p.
Statement 2 is false. A counterexample would be p = 2 and q = 3. Both p and q are prime numbers, but their product pq = 6 is not a prime number.
1. If p is a factor of q, then q is a multiple of p.
2. If p and q are both prime numbers, then their product pq is also a prime number.
Statement 1 is true. If p is a factor of q, then q can be written as p multiplied by some other integer. Therefore, q is a multiple of p.
Statement 2 is false. A counterexample would be p = 2 and q = 3. Both p and q are prime numbers, but their product pq = 6 is not a prime number.
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Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer?.
Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:1) Both p and q may be prime numbers.2) Both p and q may be composite numbers3) one of p and q may be prime and the other composite.Which of the above statements are correct?a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1, 2 and 3Correct answer is option 'D'. Can you explain this answer?.
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