Clock Problems appear in SSC, bank, and MBA exams. The two main types are: finding the angle between clock hands and solving gaining/losing time problems. Both follow simple formulas.

Angle Between Hands

  • Formula: |30H - (11/2)M| where H = hour, M = minute
  • Shortcut: At H o'clock, minute hand is at 0, hour hand at 30H degrees

Gaining/Losing Time

  • Clock gains 1 min in 65 min: It actually shows 66 min for 65 real min
  • Clock loses 1 min in 59 min: It shows 58 min for 59 real min

Solved Examples

Q 1: Angle between hands at 3:30?

Solution: |30(3) - (11/2)(30)| = |90 - 165| = 75°

Q 2: A clock gains 2 min in 60 min. How much time does it gain in 24 hours?

Solution: In 60 real min, gains 2 min. In 24 hrs (1440 min), gains = (2/60) × 1440 = 48 minutes.

Mirror Image of Clock

The angle seen in mirror + actual angle = 360°. Or: mirror time = 12:00 - actual time.

Published on September 12, 2026.