What is the angle between the hour hand and the minute hand of a clock at 7:00?

Answer and explanation

Correct answer: D. 150°

  1. Step 1: Apply the angular separation formula between the hour and minute hands: .
  2. Step 2: Substitute and : .
  3. Step 3: Since internal clock angles are taken as the smaller angle (), the angle between the hands is .
Answer
150°.
Why not the others: The remaining options (120°, 165°, 210°) violate logical deduction rules, confuse necessary and sufficient conditions, or stem from calculation slips.

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