The proposition is true since 4 and 6 divide 24. Its converse (“If n is divisible by both 4 and 6, then it is divisible by 24”) is false; 12 is divisible by both, but not 24.
Cbse Class 9 Maths Ganita Manjari Part 2 Solutions
class 9 maths ganita manjari part 2 chapter 9 question answer
The proposition is true because any multiple of 24 (24k) is divisible by its factors 4 and 6. However, its converse—”If n is divisible by both 4 and 6, then it is divisible by 24″—is false. As a counterexample, n = 12 is divisible by both 4 and 6, but 12 is not divisible by 24, since LCM (4, 6) = 12.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 9 Propositions and their Converses Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-9/