Question

Given below are two statements
Statement I: Let G a finite group and H a subgroup of G. Then, the order of H is a divisor of the order of G. That is, |H| divides |G|
Statement II: Let a be an element in a finite group G. Then, O(a) divides |G|
In the light of the above statements, choose the most appropriate answer from the options given below

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but statement II is false
• D. Statement I is false but statement II is true

Answer 1

Answer: (A)

Both Statement I and Statement II are true

Answer 2

The correct option is(A):Both Statement I and Statement II are true