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Question

Shishir is trying to express every cube as the sum of consecutive odd numbers. He is struggling to express 73 in this way. Can you find the odd numbers whose sum leads to 73?

A

43, 45, 47, 49, 51, 53, 55

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B

43, 45, 41, 49, 57, 53, 55

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C

39, 45, 47, 49, 51, 53, 59

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D

39, 45, 47, 49, 51, 43, 59

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Solution

The correct option is A 43, 45, 47, 49, 51, 53, 55 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. The other odd numbers are the 3 odd ones before and after 49. So the odd numbers whose sum gives 73 are 43, 45, 47, 49, 51, 53, 55.

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