Statements:1.Anjali was born on an even date of the month.2.Anjali'...
From I and II, we conclude that Anjali was born in February 2004 on a date which is an even prime number. Since the only even prime number is 2, so Anjali was born on 2nd February, 2004.
Statements:1.Anjali was born on an even date of the month.2.Anjali'...
Understanding the Statements
The problem requires determining Anjali's birth date in February 2004 using the provided statements. Let’s analyze each statement.
Statement 1: Anjali was born on an even date of the month.
- February typically has 28 days in a non-leap year.
- The even dates in February are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28.
- This statement alone provides multiple possibilities but does not narrow it down to a specific date.
Statement 2: Anjali's birth date was a prime number.
- Prime numbers in February (up to 28) are: 2, 3, 5, 7, 11, 13, 17, 19, 23.
- From this, we see that only one of these (2) is an even prime number.
Combining Both Statements
- From Statement 1, Anjali could have been born on any even date.
- From Statement 2, the only even prime number is 2.
- Therefore, the combination of both statements leads us directly to the conclusion that Anjali was born on February 2, 2004.
Conclusion
- The correct answer is option 'D' because both statements together are necessary to identify the exact date of Anjali's birth.
- Individually, each statement provides limited information, but together they confirm that Anjali was born on the 2nd of February.
In summary, combining the even date requirement with the prime number condition points definitively to February 2nd.
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