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Q: Given: Statement A: All cyclic groups are abelian group. Statement B: The order of the cyclic group is same as the order of its generator. दिया है: कथन A: सभी चक्रीय समूह ओबेली समूह हैं। कथन B: चक्रीय समूह की कोटि उसके जनक की कोटि के बराबर होता है
  • A. A and B are false / A तथा B असत्य हैं
  • B. A is true, B is false / A सत्य B है, असत्य हैं
  • C. B is true, A is false/ B सत्य है, A असत्य हैं
  • D. A and B both are true / A तथा B दोनों सत्य हैं
Correct Answer: Option D - (i) All cyclic groups are abelian group. (ii) The order of the cyclic group is same as the order of its generator. Both statement is true.
D. (i) All cyclic groups are abelian group. (ii) The order of the cyclic group is same as the order of its generator. Both statement is true.

Explanations:

(i) All cyclic groups are abelian group. (ii) The order of the cyclic group is same as the order of its generator. Both statement is true.