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Two coprime numbers: both prime, both composite, or one of each (which statements are correct)

The same question, asked 2 times: CDS 2 2016, CDS 2 2019. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    24
    There are two numbers pp and qq such that their HCF is 1. Which of the following statements are correct ? 1. Both pp and qq may be prime. 2. One number may be prime and the other composite. 3. Both the numbers may be composite. Select the correct answer using the code given below :

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  2. Question 2

    CDS 2 2019

    24
    Consider the following statements in respect of two integers p and q (both >1> 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 ?

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