Directions: The question is followed by two statements. Decide whether the data in the statements are sufficient to answer it.Question: On which day of the week was 15 March of a certain year?I.15 February of that year was a Monday.II.8 March of that year was a Monday.
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Answer: Option B — Statement II alone is sufficient, but statement I alone is not sufficient
Detailed Solution
From 15 Feb to 15 Mar there are 28 days in an ordinary year but 29 in a leap year. The year is not known, so I gives Monday or Tuesday. Not sufficient.
15 March is exactly 7 days after 8 March, so it is also a Monday. II is sufficient.
✓ Check
7 days later the weekday always repeats, whatever the year.⚠ Common trap
(D) Each statement alone is sufficient — ignores the leap-year day in February.Quick tip
Any span that crosses February depends on whether the year is a leap year
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Data Sufficiency — Preparation
This question tests your understanding of Data Sufficiency, a key topic in the Logical Reasoning section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
Data sufficiency questions give a question and two (sometimes three) statements of information. Rather than finding the answer, you must decide whether the statements give enough information to answer it: statement I alone, statement II alone, either one alone, both together, or neither even together. The questions can be based on reasoning topics such as blood relations, ranking and coding, or on quantitative topics. Check each statement on its own first, then together only if neither works alone. You don't need to calculate the final answer. You only need to know whether a unique answer can be found. A common mistake is to carry information from one statement into the other when checking them separately. Another is to assume that "more information" always means "sufficient". If the statements leave two possible answers, the data is not sufficient. Practise the data sufficiency questions below. Each solution checks every statement individually and together.