Question

Sangeeta remembers that her father’s birthday was certainly after eighth but before thirteenth of December. Her sister Natasha remembers that their father’s birthday was definitely after ninth but before fourteenth of December. On which date of December was their father’s birthday ?

• A. 10th
• B. 11th
• C. 12th
• D. Data inadequate

Answer 1

The Correct Option is D

The given problem involves finding the common range of dates remembered by two people for their father's birthday. Let's analyze the situation based on their statements:

• Sangeeta's memory: Her father's birthday was after the 8th but before the 13th of December. This means possible dates are 9th, 10th, 11th, and 12th.
• Natasha's memory: Her father's birthday was after the 9th but before the 14th of December. This means possible dates are 10th, 11th, 12th, and 13th.

To determine the exact date, find the intersection of these two ranges:

• Sangeeta's range: 9, 10, 11, 12
• Natasha's range: 10, 11, 12, 13
• Common dates: 10, 11, 12

Since there are multiple common dates (10th, 11th, and 12th), there is no single, definite date for their father's birthday. Therefore, the answer is "Data inadequate." Further information would be required to pinpoint the exact date.