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: Clocks

Clock Questions

Video Lesson: Clock Questions

Clock Problems

The different types of clock questions that can be asked in the CAT 2019 exam are:

  • Angle related clock problems
  • Faulty Clock questions
  • Time gain or Time Loss clock questions

Clock Problem Concepts:

  • The dial of the clock is circular in shape and was divided into 60 equal minute spaces
  • 60-minute spaces trace an angle of 360°. Therefore, 1minute space traverses an angle of 6°
  • In 1 hour, Minute hand traverses 60-minute space or 360° , Hour hand traverses 5-minute space or 30°
  • The hands of the clock are perpendicular in 15-minute spaces apart
  • The hands of the clock are in straight line and opposite to each other in 30-minute spaces apart.
  • The hands of the clock are in straight line when they coincide or opposite to each other.
  • The hands of the clock are perpendicular to each other for 22 times in 12 hours and for 44 times in a day.
  • The hands of the clock are opposite to each other for 11 times in 12 hours and 22 times in a day.
  • The minute hand gain 55 minutes over hour hand per hour.

The angle Φ between the hour hand and minute hand of the clock at any given point of time can be calculated using the given formula

Clock Formula

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