Both the proposition and its converse (“If n is divisible by both 5 and 12, then it is divisible by 60”) are true, because 5 and 12 are coprime factors whose LCM equals 60.
Class 9 Maths Ganita Manjari Part 2 chapter 9 question answer
Class 9 Maths Ganita Manjari Part 2 chapter 9 Propositions and their Converses solutions
Both the proposition and its converse (“If n is divisible by both 5 and 12, then it is divisible by 60”) are true. Divisibility by 60 guarantees divisibility by its factors 5 and 12. Conversely, because 5 and 12 are coprime (gcd(5, 12) = 1), their least common multiple is 5 × 12 = 60, so any number divisible by both must be divisible by 60.
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