Q. The Angle Formed By The Hour hand And Minute hand of a Clock at 2 : 15 p.m. is:

(A) 27.5°

(B) 22.5°

(C) 45°

(D) 30°

Answer : 22.5°

Why? Do not worry! Everything is written below from Shortcut Trick to Complete Discription of the Concept and Full Discussion here.

Shortcut Formula Trick to find The Angle Formed By The Hour hand And Minute hand of a Clock :

It is very easy. Just Remember the formula given below.

To find the angle made by hour hand and minute hand at h : m, where

h = number of hours with respect to 12:00

(example: 7:12 pm means, h = 7

but, 12 : 30 pm means , h = 0 )

m = directly enter the minute.

Angle = | 11m÷2 – 30h |

Note: If the result is greater than 180° , then substract the result from 360° to get the final result.

Derivation of The Angle Formed By The Hour hand And Minute hand of a Clock Formula :

We know, A Complete revolution of any hand of a clock = 360°

Now,

Angle made by Minute Hand in 1 Minute

= 360°/60 { 1 revolution = 60 minute}

= 6°

So, Angle made by Minute hand in m minute = 6m°

Angle made by Hour Hand in 1 Minute

= 360°/60×12 { 1 revolution of hour hand = 12 × 60 minute}

= 1/2

Now, at h : m , total minutes = 60 × h + m

= 60h + m

(example: 2:15 means , 60×2 + 15 = 135 minutes)

Angle made by hour hand in (60h + m) minute = (60h + m) × 1/2

= 30h + m/2

So,

Angle between the hour hand and minute hand = 6m – (30h + m/2)

= | 11m÷2 – 30h |

Which is the required formula.

Q. Pipes A and B can fill a tank in 8 and 24 hours respectively. Pipe C can empty it in 12 hours. If the three pipes are opened together, then the tank will be fill in

(a) 18 hours

(b) 6 hours

(d) 24 hours

Answer : CLICK HERE (SHORTCUT TRICKS)

This question is already taken in SSC GD, UPSC PSC, RRB SSC CHSL CGL MTS , Police Constable and more exams…

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