UPSC Prelims 2021·CSAT·Logical Reasoning·Clocks and Calendars

Consider two Statements and a Question: Statement- 1: The last day of the month is a Wednesday. Statement- 2: The third Saturday of the month was the seventeenth day. Question: What day is the fourteenth of the given month? Which one of the following is correct in respect of the Statements and the Question?

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  1. AStatement-1 alone is sufficient to answer the Question
  2. Bstatement-2 alone is sufficient to answer the QuestionCorrect
  3. CBoth Statement-1 and Statement-2 are required to answer the Question
  4. DNeither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question

Explanation

Statement-1: "The last day of the month is a Wednesday." This statement tells us the day of the last day of the month. However, a month can have 28, 29, 30, or 31 days. Without knowing the total number of days in the month, we cannot pinpoint the exact date of the last day, and thus cannot definitively determine the day of the 14th. For example, if it's a 30-day month, the 30th is Wednesday, making the 14th a Monday. If it's a 31-day month, the 31st is Wednesday, making the 14th a Sunday. Since the day of the 14th varies, Statement-1 alone is not sufficient. Statement-2: "The third Saturday of the month was the seventeenth day." This statement directly provides a specific date (17th) and its corresponding day (Saturday). If the 17th is a Saturday, we can easily deduce the day of the 14th: 17th = Saturday 16th = Friday 15th = Thursday 14th = Wednesday This uniquely determines that the 14th of the month is a Wednesday. Therefore, Statement-2 alone is sufficient to answer the question. Conclusion: Statement-2 alone is sufficient. The final answer is B
Logical Reasoning: Consider two Statements and a Question: Statement- 1: The last day of the month is a Wednesday. Statement- 2: The third

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