What is the acute angle between the minute hand and the hour hand of a standard clock at 8:20?
Answer and explanation
Correct answer: A. 130 degrees
- Step 1: Hour hand position: 30 8 + 0.5 20 = 240 + 10 = 250°.
- Step 2: Minute hand position: 6 * 20 = 120°.
- Step 3: Angle = |250° - 120°| = 130°.
Why not the others: The remaining options (120 degrees, 125 degrees, 135 degrees) violate logical deduction rules, confuse necessary and sufficient conditions, or stem from calculation slips.
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