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Question

While trying to express 73 as the sum of consecutive odd numbers, what is the number, 73 should be divided by to find the middle number?


  1. 47, 49

  2. 47, 51

  3. 7

  4. 49


Solution

The correct option is C

7


To find the middle number in the series of consecutive odd numbers whose sum gives n3, we divide n3 by 'n'.
The sum of 7 consecutive odd numbers gives 73.
To find the odd numbers whose sum is 73, we first divide 73 by 7.
737=72=49
Since, 49 is an odd number it is the middle number of the series.

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