Direction: The following question is accompanied by two statements, (I) and…

Concept: In a Data Sufficiency question, a statement is sufficient on its own only if the information it gives pins the asked quantity to exactly one value with no other information needed. For calendar problems, knowing the weekday of any one date in a month fixes the weekday of every other date in the SAME month by counting in 7-day cycles — provided that anchor date is not itself tied to an unknown quantity such as the month's total length (28, 29, 30, or 31 days).

Application

1. Statement I gives only the last day's weekday (Wednesday), but the month could have 28, 29, 30, or 31 days — an unknown. Since the fourteenth's distance from the last day changes with the month's length, its weekday cannot be pinned to a single value from Statement I alone.

2. Statement II gives a fixed calendar date — the seventeenth — as a Saturday. The seventeenth falls within every month regardless of its total length, so this anchor carries no month-length ambiguity.

3. Counting back from Saturday the seventeenth: the sixteenth is Friday, the fifteenth is Thursday, and the fourteenth is Wednesday — a single, fixed answer using Statement II alone.

Cross-check

Testing Statement I across each possible month length confirms the ambiguity: with a 28-day month the fourteenth also falls on a Wednesday; with 29 days it falls on a Tuesday; with 30 days, a Monday; and with 31 days, a Sunday — four different results, so Statement I alone cannot answer the question. Statement II's result stays the same regardless of month length, confirming it alone is sufficient.

Hence, Statement II alone is sufficient to determine the day, while Statement I alone is not — the correct option is the one stating that the data in statement II alone are sufficient to answer the question.