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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?


A

47, 49

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B

47, 51

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C

7

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D

49

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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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