Consider the following statements.
I. There exists a proper subgroup G of (ℚ, +) such that ℚ/G is a finite group.
II. There exists a subgroup G of (ℚ, +) such that ℚ/G is isomorphic to (ℤ, +).
Which one of the following is correct?
1
Both I and II are TRUE
2
I is TRUE and II is FALSE
3
I is FALSE and II is TRUE
4
Both I and II are FALSE