Statement I: Incorrect. Ektala is a 12-beat tala but it has 6 divisions (Vibhags) — not 4. Its pattern is 2+2+2+2+2+2.
Statement II: Correct. Teentala is the most common tala for tabla solo and accompaniment in Hindustani music.
It has 16 beats with 4 divisions and is a standard tala for Khayal, instrumental, and dance.
So only Statement II is true.