Question

The average of five consecutive odd numbers is $61$. What is the difference between the highest and lowest numbers?

• A. $2$
• B. $5$
• C. $8$
• D. Cannot be determined
• E. None of these

Answer 1

Answer: (C)

$8$

Let 'a' be any odd number

Given

$61=\frac{a+(a+2)+(a+4)+(a+6)+(a+8)}{5}$

$\Rightarrow 305=5a+20$

$\Rightarrow 5a=285$

$\Rightarrow a=57$

Largest no $=a+8=57+8=65$

Lowest no $=a=57$

Difference $=65-57=8$

Hence, option ${}^{\prime }{E}^{\prime }$ is correct.