If the sum of 11 consecutive natural numbers is 2761, then the middle number is:

A) 249

B) 250

C) 251

D) 252

Correct answer:
C) 251

Description for Correct answer:
Let the first natural number be x

According to the question

x+x+1x+2+x+3+x+4+x+5+x+6+x+7+x+8+x+9+x+10=2761

=> 11x + 55 = 2761

x = \( \Large \frac{2761 - 55}{11} = 246 \)

Middle number = x + 5 = 246 + 5 = 251


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