Each of the questions given below consists of a statement and/or a question…
2025
Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.
Read both the statements and give your answer.
What day is the 14th of a month?
Statement I – the 3rd Saturday of the month is the seventeenth.
Statement II – the 2nd-last day of the month is a Tuesday.
- A.
if the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
- B.
if the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
- C.
if the data in each Statement I and Statement II alone is sufficient to answer the question.
- D.
if the data even in both Statements I and II together are not sufficient to answer the question.
Show answer & explanation
Correct answer: A
Concept: In Data Sufficiency, evaluate each statement on its own first: a statement is sufficient only if it alone lets you compute one unique, unambiguous answer to the question asked; if any needed quantity stays unknown, that statement alone is insufficient.
Application:
Statement I: the 3rd Saturday of the month is the 17th, so Saturdays fall on the 3rd, 10th, 17th and 24th. Counting back 3 days from Saturday the 17th gives Friday the 16th, Thursday the 15th, and Wednesday the 14th — a complete answer using Statement I alone.
Statement II: the 2nd-last day of the month is a Tuesday. This anchors the weekday sequence only near the end of the month; linking it to the 14th needs the month's total day-count (28, 29, 30, or 31), which Statement II never states — so the 14th's weekday cannot be fixed from Statement II alone.
Cross-check:
Testing Statement II against two different month lengths (say 30 days and 31 days) with the same “second-last day is Tuesday” fact gives two different weekdays for the 14th, confirming it alone cannot be sufficient. Re-deriving Statement I independently — 17 minus 14 is 3 days, and Saturday minus 3 days is Wednesday — matches the count above, confirming Statement I alone is genuinely sufficient.
Result:
The data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient.