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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

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1. 

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

[A]. 53.33
[B]. 54.68
[C]. 55
[D]. None of these

Answer: Option B

Explanation:

Required average
= 1-sym-oparen-h1 55 x 50 + 60 x 55 + 45 x 60 1-sym-cparen-h1
55 + 60 + 45
 
= 1-sym-oparen-h1 2750 + 3300 + 2700 1-sym-cparen-h1
160
 
= 8750
160
  = 54.68
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