Question

Median of the odd divisors of $360$ is

• A. the mean of 3rd and 4th item
• B. the mean of 4th and 5th item
• C. the mean of 5th and 6th item
• D. none of these

Answer 1

Answer: (A)

the mean of 3rd and 4th item

$360=2^3\times 3^2\times 5^1=2^a{3}^b{5}^c$

Number of odd divisors $=(b+1)(c+1)=(2+1)$$(1+1)=6$

These six divisor are the factors of $45$, which are $1,3,5,9,15,45$.
$\therefore$ Median item are 3rd and 4th item and their values are

$5$ and $9$.

$\therefore$ Median is the mean of 3rd and 4th item.