Average of Integers Divisible by 11 Between 100 and 250

What is the average of all integers between 100 and 250 that are exactly divisible by 11?

Published 14 Jun 2026 • Updated 12 Aug 2026 • 2 min read • Vitorr Classes Editorial Team

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What is the average of all integers between 100 and 250 that are exactly divisible by 11?

100 और 250 के बीच 11 से पूर्णतः विभाज्य सभी पूर्णांकों का औसत क्या है?

A. 176 ✅

B. 186

C. 196

D. 146

✅ 176

The numbers divisible by 11 form an Arithmetic Progression (AP).
11 से विभाज्य संख्याएँ एक समांतर श्रेणी (AP) बनाती हैं।

For an AP:

\text{Average}=\frac{\text{First Term}+\text{Last Term}}{2}

AP का औसत = (प्रथम पद + अंतिम पद) ÷ 2

First multiple of 11 after 100 / 100 के बाद 11 का पहला गुणज

11 \times 10 = 110

Last multiple of 11 before 250 / 250 से पहले 11 का अंतिम गुणज

11 \times 22 = 242

Now,

\text{Average}=\frac{110+242}{2}

=\frac{352}{2}

=176

\boxed{176}

✅ Correct Answer / सही उत्तर: 176

What is the average of all integers between 100 and 250 that are exactly divisible by 11?