Question

Each of seven baseball players—G, H, K, L, M, N, and O—will be placed on the active roster for one of two teams, the Angels and the Reds. The following conditions govern the roster with respect to these players:

- If G is on the roster for the Angels, then H will play for the Reds.
- If K plays for the Angels, then L and M will play for the Reds.
- N plays on a different team than O.
- M plays on a different team than G.
- If O plays for the Angels, then H will also play for the Angels.
- If G and L are both on the roster for the Angels, then all of the following are true, EXCEPT?

**Possible Answers:**
1. N is on the roster for the Angels.
2. Only three of the players are on the roster for the Angels.
3. M is on the roster for the Reds.
4. Only two of the players are on the roster for the Angels.
5. K is on the roster for the Reds.

Answer 1

If G and L are both on the roster for the Angels, only two of the players are on the roster for the Angels. The correct answer is option 4

Step-by-step explanation:

Let's systematically evaluate each option based on the given conditions:

N is on the Angels' roster: This option is feasible as N has the flexibility to belong to a different team than O.

Only three players are on the Angels' roster: This scenario is possible if G, L, and O constitute the Angels' roster, meeting the specified conditions.

M is on the Reds' roster: This option is valid as M has the option to play for a team different from G.

Only two players are on the Angels' roster: This is the correct choice, as it aligns with all conditions outlined in the question when G, L, and O are part of the Angels' roster.

K is on the Reds' roster: This possibility is acceptable as K can be part of the Reds, provided L and M are also on the Reds.

Hence, the accurate selection is option 4, where only two players are on the roster for the Angels.