11. TBQ - Choose the correct answer

For each statement below, determine whether it is always true, sometimes true, or never true. Explain your answer. Mention examples and non-examples as appropriate. Justify your claim using algebra.

(i) Adding two even numbers can result in a number that is a multiple of \(3\). Never trueAlways trueSometimes true

(ii) If a number is not divisible by \(18\), then it is also not divisible by \(9\). Never trueAlways trueSometimes true

(iii) If two numbers are not divisible by \(6\), then their addition is not divisible by \(6\). Never trueAlways trueSometimes true

(iv) The sum of a multiple of \(6\) and a multiple of \(9\) is a multiple of \(3\). Always trueSometimes trueNever true

(v) The total of a multiple of \(6\) and a multiple of \(3\) is a multiple of \(9\). Never trueAlways trueSometimes true