Question:
If it is false that 'There is at least one octogenarian in the room', then which one of the following is probable?
If it is false that 'There is at least one octogenarian in the room', then which one of the following is probable?
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Be cautious with negations. A false statement about a condition can change the entire possible scenario.
Updated On: Aug 18, 2025
- No one in the room is an octogenarian.
- All those who are in the room are octogenarians.
- One person in the room is not an octogenarian.
- Some people in the room are not octogenarians.
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The Correct Option is A
Solution and Explanation
The statement says it is false that at least one person in the room is an octogenarian. Hence, the only possibility is that no one in the room is an octogenarian.
Option (B) All those who are in the room are octogenarians: This contradicts the given false statement.
Option (C) One person in the room is not an octogenarian: This would still imply that at least one person is an octogenarian.
Option (D) Some people in the room are not octogenarians: This is also incorrect based on the false statement.
Option (B) All those who are in the room are octogenarians: This contradicts the given false statement.
Option (C) One person in the room is not an octogenarian: This would still imply that at least one person is an octogenarian.
Option (D) Some people in the room are not octogenarians: This is also incorrect based on the false statement.
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