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Question

State whether true or false:
121 can be expressed as the sum of 11 odd numbers.

A
True
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B
False
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Solution

The correct option is A True
Sum of first n consecutive odd numbers is n2
Thus, we have
1+3+5+7+9+11+13+15+17+19+21=(11)2=121 (as there are 11 odd numbers n=11)

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