Multiple choice

Directions: Read the following information carefully to answer the questions that follow. ‘A+B’ means ‘A is the father of B. ‘A ̶ B’ means ‘A is the wife of B. ‘A × B’ means ‘A is the brother of B. ‘A ÷ B’ means ‘A is the daughter of B. What will be the angle between the hands of clock at 9:30?

  1. 75º

  2. 90º

  3. 105º

  4. 120º
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The question contains irrelevant blood relation definitions. At 9:30, the hour hand is between 9 and 10 (at 9.5), and the minute hand is at 6. The angle is |30*H - 5.5*M| = |30*9 - 5.5*30| = |270 - 165| = 105 degrees.

AI explanation

Using the clock angle formula, the hour hand moves 30 degrees per hour plus 0.5 degrees per minute, while the minute hand moves 6 degrees per minute. At 9:30, the hour hand is at 270 degrees plus 15 degrees, totaling 285 degrees, and the minute hand is at 180 degrees. The absolute difference between 285 degrees and 180 degrees is 105 degrees.

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