Latest CSC Aptitude Question SOLUTION: Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term. A)900/19 % B)800/66 % C)Cannot be determined

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

A)900/19 %


B)800/66 %


C)Cannot be determined

Asked In CSC (12 years ago)

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Priya  (11 years ago)

Answer:
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 %

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