Clock And Calendar

Step 1: The minute hand moves 360° in 60 minutes, i.e., 6° per minute. The hour hand moves 360° in 12 hours, i.e., 0.5° per minute. Step 2: At 5 o'clock, the hour hand is at the 25th minute (5 × 5 = 25°). Step 3: For the hands to be coincident, the minute hand should cover a distance of more than the hour hand. Step 4: The relative speed between the minute hand and hour hand is: Step 5: The time taken by the minute hand to cover the 25° is: Thus, the time when the hands coincide is 27 minutes past 5.

Step 1: We know that April 1, 2012, was a Sunday. From this, we can directly list the Sundays in April: Step 2: The Sundays in April 2012 are: - April 1 - April 8 - April 15 - April 22 - April 29 Thus, Sundays in April 2012 are: 1, 8, 15, 22, 29.