Question 19 of 25intermediate🔍 AnalyzeMCQ2 marks

Which algebraic expression(s) capture all numbers that leave a remainder of 3 when divided by 5? (i) 3k + 5 (ii) 3k - 5 (iii) 3k/5 (iv) 5k + 3 (v) 5k - 2 (vi) 5k - 3

Exercise: What Remains? | Q: 2 | (Page Page 10)
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Explanation

The chapter explains that numbers leaving remainder 3 when divided by 5 are of the form 5k + 3 (expression iv). Expression (v) 5k - 2 also works because when k ≥\geq 1, values are: 5(1)-2=3, 5(2)-2=8, 5(3)-2=13, etc., which are the same numbers. Expression (i) 3k + 5 gives values like 8, 11, 14, 17... which includes numbers not leaving remainder 3 (like 11 ÷ 5 = 2 R1). Expressions (ii), (iii), and (vi) do not generate the required sequence.