Both the proposition and its converse (“If n has exactly 3 factors, then it is the square of a prime number”) are true, with factors being 1, p and p². Class 9 Ganita Manjari Part II Propositions and their Converses Solutions
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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 ...
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 ...
Both the proposition and its converse (“If x³ = y³, then x = y”) are true because cubing preserves equality and real numbers have a unique, sign-preserving real cube root. Class 9 Maths Ganita Manjari Part 2 chapter 9 Propositions and ...
The proposition is true since equal numbers have identical squares. However, the converse (“If x² = y², then x = y”) is false; for example, (-3)² = 3² gives 9 = 9, yet -3 ≠ 3. Class 9 Maths Ganita Manjari ...