If a positive integer n, divided by 5 has a remainder 2, Which of the following must be true? I. n is odd II. n + 1 cannot be a prime number III. (n + 2) divide

If a positive integer n, divided by 5 has a remainder 2, Which of the following must be true? I. n is odd II. n + 1 cannot be a prime number III. (n + 2) divided by 7 has remainder 2

If a positive integer n, divided by 5 has a remainder 2, Which of the following must be true? I. n is odd II. n + 1 cannot be a prime number III. (n + 2) divided by 7 has remainder 2 ?

Created: 1 week ago | Updated: 1 week ago | Created By:

Imran Ahmed

II and III only

I only

I and II only

none

0 1

Best Answer Explained in Below-:

By adding 2 to all multiples of 5, you can identify the integers that have a remainder of 2 when multiplied by 5. Thus, n = 7, 12, 17, 22, etc. This series demonstrates that n does not necessarily have to be odd. Because, for instance, 12 + 1 = 13, n + 1 can also be a prime. Additionally, (n + 2)/7 occasionally yields a remainder of 2, but not always. It's important to keep in mind that the question asks us to consider what MUST be true, and we can see that none of the statements are true in every situation. However, any number of n will always result in a multiple of 5 when 3 is added

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If a positive integer n, divided by 5 has a remainder 2, Which of the following must be true? I. n is odd II. n + 1 cannot be a prime number III. (n + 2) divided by 7 has remainder 2 ?

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