Data Sufficiency — Birthday date: On which day in April is Gautam's birthday? Statement I: Gautam was born exactly 28 years after his mother was born. Statement II: His mother will be 55 years, 4 months, and 5 days on August 18 of this year. Decide which statement(s) are sufficient to determine the April date. Choose the correct sufficiency option.
Verbal Reasoning
Data Sufficiency
Difficulty: Medium
Choose an option
Answer
Correct Answer: Both statements I and II together are sufficient, but neither alone is sufficient.
Explanation
From Statement IIMother's birthday = Aug 18 − 4 months − 5 days = April 13 (same calendar year).II alone gives only the mother’s April date, not Gautam’s.
From Statement IGautam is born exactly 28 years after his mother ⇒ same date of the month, 28 years later.I alone gives a relative offset but no concrete April date.
Combine I + IIMother's birthday is April 13 ⇒ Gautam's birthday is also April 13 (28 years later).Final AnswerBoth statements together are sufficient.