Concept:Check each statement to see whether A's exact month can be fixed, then count the persons born after A.
Explanation:Months in order: January, March, April, May, June, August.
Statement I: Two persons between B and E means their month positions differ by
3.
The possible pairs are (January, May), (March, June), and (April, August).
Since B is born in a 30-day month, B must be April or June.
The (March, June) pair fails because it would make D clash with B.
So B is April and E is August, which gives D as January.
Then A is May and F is June.
Thus persons after A are F and E, i.e.
2.
Statement I alone is sufficient.
Statement II: C is in March, so D is immediately before C in January.
Persons before C is
1, therefore persons after F is
1, placing F in June.
The remaining months April, May, and August are left for A, B, and E.
B and E must have two persons between them, so they take April and August, leaving May for A.
Thus two persons were born after A.
Statement II alone is sufficient.
Statement III: F is after May, so F is in June or August.
With three persons between F and D, either D is January and F is June, or D is March and F is August.
One person between B and D gives two possible positions for B, and A is not fixed.
So Statement III alone is not sufficient.
Answer:The data given in either Statement I or Statement II is sufficient to answer the question.
Option D.