How many times in a day do the hour hand and minute hand of a clock coincide?

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Accepted Answer

#### Step 1: Concept
The hour and minute hands of a clock coincide **11 times in 12 hours**. This is because they overlap once every **65 minutes**, not every hour.
#### Step 2: Calculate for 24 Hours
In a day (24 hours), the hands will coincide:  
$$
11 \, (	ext{coincidences in 12 hours}) 	imes 2 = 22 \, 	ext{coincidences}.
$$  
#### Step 3: Verify
The hands coincide at specific times such as **12:00, 1:05, 2:11, ..., 10:55**, repeating every 12 hours. This pattern confirms the total of **22 coincidences** in a day.

Thus, the correct answer is **(b) 22 times**.

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Answer

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