At what angle the hands of a clock are inclined at 50 minutes past 4 ?

This question was previously asked in
Kerala PSC Common Preliminary Exam (GRADUATE LEVEL) PYP - 47/24
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  1. 125
  2. 150
  3. 155
  4. 160

Answer (Detailed Solution Below)

Option 3 : 155
Free
Indian Polity
20 Qs. 20 Marks 18 Mins

Detailed Solution

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Given time: 50 minutes past 4 → 4 : 50

Angle traced = 11/2 × Number of Minutes - 30 × Number of Hours

Angle traced = 11/2 × 50 - 30 × 4

Angle traced = 155°

Hence, "Option 3" is the correct answer.

Additional Information
 
Movement of Hour head

12 hr = 360º

1 hr = 30º

60 min = 30º

1 min = 0.5º

Movement of Minute head       

1 hr =  360º

60 min = 360º

1 min = 6º   

5 min = 30º     

Movement of Seconds head       

1 min =  360º

60 sec = 360º

1 sec = 6º   

5 sec = 30º

Gapping between hour head and minute head

​55 min = 60 min       

1 min = 60/55 

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