In the below given question, a few statements have been given. Analyze the given statements and answer whether the data given in the statements are sufficient to answer the question or not.
I. The last day of the month is a Wednesday.
II. The third Saturday of the month was seventeenth.
What day is the fourteenth of a given month?

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  1. if the data in statement I alone are sufficient to answer the question
  2. if the data in statement II alone are sufficient to answer the question
  3. if the data even in both the statement together are not suffecient to answer the question
  4. if the data in both the statements together are needed

Answer (Detailed Solution Below)

Option 2 : if the data in statement II alone are sufficient to answer the question
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Detailed Solution

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According to the given question, we need to find the day of the 14th of the given month.

Statement 1: The last day of the month is a Wednesday.

If the last day is Wednesday we are not able to find a day on the 14th of that month because we don't know whether the month is of 28 days or 29 days or 30 days or 31 days.

Therefore, Statement-1 alone is not sufficient to answer the question.

Statement 2: The third Saturday of the month was seventeenth.

If the 17th day of the given month is Saturday then we can easily find the 14th day by subtracting 3 odd days from Saturday i.e., (6 - 3) = 3. means Wednesday.

Therefore, Statement-2 alone is sufficient to answer the question.

Hence, "Option 2" is the correct answer.

Additional InformationHere we use odd days as: Sunday = 0 , Monday = 1, Tuesday = 2, Wednesday = 3, Thursday = 4, Friday = 5, and Saturday = 6.  

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