Riya looked at the clock in the evening, but she got confused and described the positions of the hands incorrectly. She said that the minute hand was on and the hour hand was on , whereas in reality, the positions of the hands were interchanged. What was the actual time?
- A
- B
- C
- D
Solution & Step-by-step Explanation
According to Riya's incorrect observation:
* Minute hand was at .
* Hour hand was at .
Since the actual positions were exactly interchanged:
* The actual hour hand is at (indicating the hour is ).
* The actual minute hand is at (indicating minutes past the hour).
Since it is explicitly stated to be in the evening, the actual time was .
* Minute hand was at .
* Hour hand was at .
Since the actual positions were exactly interchanged:
* The actual hour hand is at (indicating the hour is ).
* The actual minute hand is at (indicating minutes past the hour).
Since it is explicitly stated to be in the evening, the actual time was .