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  • Question
  • Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?


  • Options
  • A. 991/16 %
  • B. 900/19 %
  • C. 874/13 %
  • D. 719/17 %

  • Correct Answer
  • 900/19 % 

    Explanation

    First ten odd numbers form an arithmetic progression of the form
    1,3,5,7,9......
    here a = first term = 1
    d = common difference = 2
    Average of first n numbers = (2a + (n - 1)d)/2
    n th term of the AP = a + (n - 1)d
    Substituting a = 1, d = 2 and n = 10 in the above formulas
    average of first 10 numbers = 10
    10 th term of the AP = 19
    Therefore average of first 10 terms is 19 - 10 = 9 greater than
    the last term. Hence the average is greater than the sum by
    9/19 X 100 = 900/19 %

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO

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