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True or False
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4
Q:
| A) n is odd | B) n + 1 cannot be a prime number |
| C) (n + 2) divided by 7 has remainder 2 | D) n + 3 is divisible by 5 |
Answer: D) n + 3 is divisible by 5
Explanation:
Explanation:
You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.
From this series we can see that n does not have to be odd.
Also n + 1 can be a prime because, for example, 12 + 1 = 13
And (n + 2) / 7 has a remainder 2 in some cases but not all.
Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.
