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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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Correct Option (B)

Statement-2 alone is sufficient to answer the Question.

Statement-2 provides that the third Saturday of the month was the seventeenth day. If the 17th of the month is a Saturday, then to determine the day of the 14th, one must count back three days (17 - 3 = 14). Counting backward from Saturday:

16th: Friday
15th: Thursday
14th: Wednesday

Thus, the 14th of the given month is a Wednesday. This information directly answers the question.

Incorrect Options:

Statement-1 alone is not sufficient to answer the Question.

Statement-1 indicates that the last day of the month is a Wednesday. However, the length of a month can vary (28, 29, 30, or 31 days). The day of the 14th would therefore depend on the total number of days in that specific month. For instance:

If a 28-day month ends on a Wednesday, the 14th would be a Wednesday.
If a 29-day month ends on a Wednesday, the 14th would be a Tuesday.
If a 30-day month ends on a Wednesday, the 14th would be a Monday.
If a 31-day month ends on a Wednesday, the 14th would be a Sunday.

Since Statement-1 does not specify the length of the month, it is not possible to definitively determine the day of the 14th. Therefore, Statement-1 alone is insufficient.

As Statement-2 alone is sufficient, options suggesting that both statements are required or that neither is sufficient are incorrect.

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UPSC CSE Prelims 2021

EXPLANATION

Correct Option (B)

Incorrect Options: