Question

# Express 113 as the sum of consecutive odd numbers.

A
66+77+88+99+110+121+132+143+154+165+176
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B
111+113+115+117+119+121+123+125+127+129+131
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C
121+123+125+127, 129+131+133+135+137+139+141
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D
101+103+105+107, 109+111+113+115+117+119+121
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Solution

## The correct option is B 111+113+115+117+119+121+123+125+127+129+131Here, the sum of 11 consecutive odd numbers should be equal to 113. To find the odd numbers whose sum is 113, we first divide 113 by 11. 11311=112=121 Since 121 is an odd number, it would be the middle number of the series. The other odd numbers would be 5 odd numbers before and after 121. Thus, 113 can be expressed as: 111+113+115+117+119+121+123+125+127+129+131 So, the option (b) is correct.

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