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Lesson 1 of 6 · Angle between hands / coincide / opposite

Angle formula

Clocks and Calendars · for IPMAT Indore, IPMAT Rohtak and JIPMAT · asked in JIPMAT 2023

The exam method

  1. When at angle θ. solve ∣30H−5.5M∣=θ|30H - 5.5M| = θ: two answers in most hours (minute hand behind, then ahead).
  2. Rotation. hour hand 30° an hour, minute hand 6° a minute.

Worked examples

Example 3EasyJIPMAT 2023

Match: 105°, 45°, 127.5°, 187.5° with 7:15, 9:15, 4:30, 2:30.

Watch out

  • Hour hand drift: at 6:45 the angle is 67.5°, not 90°.
  • Which angle: "reflex" means the larger angle (360° minus the smaller).

Picked from the Angle between hands / coincide / opposite note for this micro-concept automatically. The whole note: Angle between hands / coincide / opposite.