UPSC Prelims 2002·GS1·science-and-technology·science and technology

The time in the wall clock is 3.25 the acute angle between the hours hand and the minutes hand is

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Last updated 8 Jul 2026, 4:39 pm IST
  1. A60°
  2. B52 ½°
  3. C47 ½°Correct
  4. D42°

Explanation

To find the angle between the hour hand and the minute hand, we use the standard formula: Angle equals the absolute value of 30H minus 5.5M, where H is hours and M is minutes.

At 3.25, H is 3 and M is 25.

First, multiply 30 by 3, which equals 90. Second, multiply 5.5 by 25, which equals 137.5.

Now, subtract 90 from 137.5 to find the difference. 137.5 minus 90 equals 47.5.

Therefore, the acute angle is 47.5 degrees, which is the same as 47 and a half degrees. This corresponds to option C.

science-and-technology: The time in the wall clock is 3.25 the acute angle between the hours hand and the minutes hand is
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