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    Question

    Each question contains a statement followed by Quantity I and II. Read the information clearly and answer your questions accordingly. 

      Quantity I:  The average weight of 30 people is increased by 1.5 kg when one man weight 48 kg is replaced by another man. Find the weight of new man?

    Quantity II: T he average weight of 60 students in a class is 70 kg. The weights of two students were wrongly entered as 72 kg and 64 kg instead of 64 kg and 52 kg respectively. Find the corrected average weight of the class?  

    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity I < Quantity II Correct Answer Incorrect Answer
    C Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    D Quantity II ≥ Quantity I Correct Answer Incorrect Answer
    E Quantity I = Quantity II or Relation cannot be established Correct Answer Incorrect Answer

    Solution

    Quantity I:  Increased Average = 1.5, Number of people (n) = 30 Average = Total sum/n Total weight increased = 1.5 `xx` 30 = 45 kg Weight of new man = 45 + 48 = 93 kg Quantity II:  Total weight of 60 students = 60 `xx` 70 New weight = (60 `xx` 70) – 72 – 64 + 64 + 52 = (60 `xx` 70) – 20 New average = (4200 – 20)/60 = 69.66 kg 

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