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Consider the statements:S1: Let G be an abelian group of order n if for every divisior m of n there exist a subgroup of G of order m, thenG is cyclic.S2,: Let G be a group. If every proper sub group of G is cyclic then G is abelian.Which of the following is true.a)S1, is true but S2is not tureb)S2is ture butS1is not truec)Both are trued)Both are falseCorrect answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Consider the statements:S1: Let G be an abelian group of order n if for every divisior m of n there exist a subgroup of G of order m, thenG is cyclic.S2,: Let G be a group. If every proper sub group of G is cyclic then G is abelian.Which of the following is true.a)S1, is true but S2is not tureb)S2is ture butS1is not truec)Both are trued)Both are falseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the statements:S1: Let G be an abelian group of order n if for every divisior m of n there exist a subgroup of G of order m, thenG is cyclic.S2,: Let G be a group. If every proper sub group of G is cyclic then G is abelian.Which of the following is true.a)S1, is true but S2is not tureb)S2is ture butS1is not truec)Both are trued)Both are falseCorrect answer is option 'D'. Can you explain this answer?.

Solutions for Consider the statements:S1: Let G be an abelian group of order n if for every divisior m of n there exist a subgroup of G of order m, thenG is cyclic.S2,: Let G be a group. If every proper sub group of G is cyclic then G is abelian.Which of the following is true.a)S1, is true but S2is not tureb)S2is ture butS1is not truec)Both are trued)Both are falseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.

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