Mohit correctly remembers that his fathers birthday is not after eight...
According to Mohit: Apr 18 or earlier ...(i)
According to his sister: April 18 or 19 ...(ii)
From (i) and (ii), we get Apr 18.
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Mohit correctly remembers that his fathers birthday is not after eight...
Understanding the Problem
To determine the definite date of their father's birthday based on Mohit and his sister's memories, we will analyze the statements they made.
Mohit's Statement
- Mohit recalls that their father's birthday is not after the eighteenth of April.
- This means the possible dates are: 17th April, 18th April.
Sister's Statement
- His sister remembers that their father's birthday is before the 20th but after the 17th of April.
- This narrows down the possible dates to: 18th April and 19th April.
Combining Both Statements
- From Mohit's statement, the possible dates are 17th or 18th April.
- From his sister's statement, the possible dates are 18th April and 19th April.
Finding the Overlap
- The only date that satisfies both statements is 18th April.
- 17th April is ruled out by the sister’s memory (as it must be after the 17th), and 19th April is ruled out by Mohit’s statement (as it states not after the 18th).
Conclusion
Based on the combined analysis of both statements, the only date that fits all criteria is the 18th of April. Therefore, their father's birthday is definitely on the 18th.
Final Answer
The correct option is C) Eighteenth.