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 ...
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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 ...
The original cube’s surface area is 6 × 4² = 96 cm². Cutting it yields 64 unit cubes with total surface area 64 × 6 = 384 cm². The ratio is 96 : 384, simplifying to 1 : 4. Class 9 ...