A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question.

Shakuntala was born in the year 2016. What is her exact date of birth?

Statements:

(I) Shakuntala’s birth date is a prime number greater than 23.

(II) Shakuntala was born in a month having the least number of days. 

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  1. (I) alone is sufficient while (II) alone is not sufficient. 
  2. Both (I) and (II) together are needed. 
  3. (II) alone is sufficient while (I) alone is not sufficient. 
  4. Either (I) alone or (II) alone is sufficient. 

Answer (Detailed Solution Below)

Option 2 : Both (I) and (II) together are needed. 
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Detailed Solution

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Statement (I): Shakuntala’s birth date is a prime number greater than 23- A month of a year has 30 or 31 days. So, a number being prime greater than 23 and less than or equal to 31, will be either 29 or 31.

Statement (II) Shakuntala was born in a month having the least number of days- The month with the least number of days is February, having only 28 days or 29 days (in a leap year).

Based on the above statements, Shakuntala's date of birth will be 29th February 2016.

Therefore, both statements are required for this.

Hence, the correct answer is "option 2".

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