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On which date of the month was Anjali born in February 2004 ?

Statements:

1. Anjali was born on an even date of the month.

2. Anjali's birth date was a prime number.

  • A.1 alone is sufficient while II alone is not sufficient
  • B.2 alone is sufficient while I alone is not sufficient
  • C.Either 1 or 2 is sufficient
  • D.Both 1 and 2 are sufficient

Answer: D

Correct answer: Both 1 and 2 are sufficient

February 2004 was a leap year, so the dates run 1 to 29. Statement 1 alone leaves fourteen even dates; statement 2 alone leaves ten primes. Taken together, only one number is both even and prime - 2 - so the date is settled, and only by using both.

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