Concept & Tricks To Solve Clock Questions

Published on Wednesday, May 10, 2017

Types of Questions

1. Position of hands of the clock or angle between them
2. Faulty clock

Concept and Formula:


Minute hand traces in 60 minutes = hour hand traces in 12 hours = 360⁰
Angle of Hour space = 30⁰ Angle of minute space = 6⁰ 
Angle between minute hand and hour hand

Example:  angle between minute and hour hand at 10:27am

Minute hand and hour hand overlap/coincide/0⁰ angle : when M 
=
In 12 hours = 11 times hands overlap
⇒ 180⁰angle between hands or in a straight line:
 M =

[Add if hour hand is at from 1 to 5; subtract if from 6 to 12]
In 12 hours = 11 times hands are in straight line

⇒ Both hands are perpendicular/ at 90⁰angle : 
M =
In 12 hours = 22 times hands are perpendicular to each other means in an hour, hands are perpendicular at two times so to find out exact time


Now, if value of (H ± 3) < 0 then adds 12 to find the exact value of minute
If value of (H ± 3) ≥ 12 then subtract 12 to find the exact value of minute

Example: To find the time between 9 to 10 o’clock when an hour and minute hands are perpendicular to each other.


Between 9 to 10 o’clock at 9 o’clock and 9:32 o’clock both hands with be at a right angle.

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