The correct answer is option 2, Assam. Assam is a state in northeastern India and it shares its borders with Bhutan and Bangladesh, but not with Myanmar.

Option 1, Mizoram, is a neighboring state of Myanmar. It shares a 510-kilometer long international border with Myanmar.

Option 3, Nagaland, also shares its border with Myanmar. The border between Nagaland and Myanmar is approximately 215 kilometers long.

Option 4, Manipur, is another state that shares its border with Myanmar. The Indo-Burma barrier between the two is about 398 kilometers long.

So, out of the given options, Assam is the state that does not border on Myanmar.