(i) Sometimes true, the sum of two even numbers is a multiple of 3. Examples: 2 + 4 = 6, 8 + 10 = 18, 14 + 16 = 30 are multiples of 3. 2 + 6 = 8, 4 + 10 = 14 are not multiples of 3. (ii) Sometimes true, if a number is not divisible by 18, then it is also not divisible by 9. Examples: 27 is not divisible by 18, but 27 is divisible by 9. True 40 is not divisible by 18, also it is not divisible by 9. False (iii) Never true, if two numbers are not divisible by 6, then their sum is not divisible by 6. Examples: 8 and 10 are not divisible by 6. The sum of two numbers = 8 + 10 = 18, is divisible by 6. 10 and 13 are not divisible by 6. The sum of 10 and 13 = 10 + 13 = 23, which is not divisible by 6. (iv) Always true Multiple of 6; 6m Multiple of 9; 9n 6m + 9n = 3(2m + 3n) Hence multiple of 3. (v) Sometimes true, the sum of a multiple of 6 and a multiple of 3 is a multiple of 9. Multiples of 6 are: 6, 12, 18, 24, 30,… 6 + 12 = 18 is a multiple of 9. 12 + 18 = 30 is not a multiple of 9. 18 + 24 = 42 is not a multiple of 9. Sometimes true. Multiples of 3 are: 3, 6, 9, 12, 15, 18,… 3 + 6 = 9 is a multiple of 9. 6 + 9 = 15 is not a multiple of 9. Sometimes true.