Question:
Gopal remembers that Rajesh’s birthday is after the 4th of December but before the 7th of December. Rajesh’s sister says his birthday is two days before or after hers (8th December). When is Rajesh’s birthday?
Gopal remembers that Rajesh’s birthday is after the 4th of December but before the 7th of December. Rajesh’s sister says his birthday is two days before or after hers (8th December). When is Rajesh’s birthday?
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Always cross-check constraints given by both people to eliminate possibilities.
Updated On: Dec 19, 2025
- 5th December
- 4th December
- 7th December
- 6th December
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The Correct Option is D
Solution and Explanation
Step 1: From Gopal’s information.
Birthday is between 5th and 6th December (after 4th, before 7th).
Step 2: From sister’s information.
Her birthday is on 8th December.
Two days before 8th → 6th December
Two days after 8th → 10th December
But 10th December is not between 5th and 6th.
Thus, 6th December matches.
Step 3: Conclusion.
Rajesh's birthday is on 6th December.
Birthday is between 5th and 6th December (after 4th, before 7th).
Step 2: From sister’s information.
Her birthday is on 8th December.
Two days before 8th → 6th December
Two days after 8th → 10th December
But 10th December is not between 5th and 6th.
Thus, 6th December matches.
Step 3: Conclusion.
Rajesh's birthday is on 6th December.
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