Consider `N=2520`

Options

A. Number of even divisors of N is 36
B. Number of odd divisors of N is 11
C. Number of divisors which are multiple of 10 is 18
D. number of divisors which are multiple of 4 but not of 6 is 16

Answer

A, C

Explanation

`N=2520=2^(3)xx3^(2)5xx7`
(i) No. if even divisors`=(3)xx(3)xx(2)xx(2)=36`
(ii). No. of odd divisors`=(3)xx(2)xx(2)=12`
(iii). No. of divisors multiple of `10=(3)xx(3)xx(1)xx(2)=18`
(iv). No. of divisors multiple of 4 but not `6=(2)xx(2)xx(2)=8`