Difficulty: Easy
Correct Answer: 22 times
Explanation:
Problem restatement
Count the number of overlaps of the hour and minute hands in 24 hours.
Concept/Approach
In 12 hours, the hands coincide 11 times (not 12), due to the hour hand's continuous motion. Therefore, in 24 hours they coincide twice that.
Step-by-Step reasoning
Coincidences in 12 hours = 11Hence in 24 hours = 2 × 11 = 22
Common pitfalls
Assuming one overlap per hour (would give 24) instead of 11 per 12 hours.
Discussion & Comments