What will be the angle between the hands of clock when time is 40 minutes past 10?
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What will be the angle between the hands of clock when time is 40 minutes past 10?
80°
54°
72°
96°
None of these
At 10:40, the hour hand is at 10 + 40/60 = 10.666 hours. The angle from 12 o'clock is 10.666 * 30 = 320 degrees. The minute hand is at 40 minutes, which is 40 * 6 = 240 degrees. The difference is 320 - 240 = 80 degrees.
Using the standard clock angle formula, the angle is calculated as 30 times the hours minus 11 divided by 2 times the minutes. Substituting the values gives 30 multiplied by 10 minus 5.5 multiplied by 40, resulting in 300 minus 220, which equals 80 degrees.