question of advanced ds principle

[hemant.rao110]

is the integer n odd ?
1) n(n-2) is not a multiple of 4.
2)n is a multiple of 3

hey the answer given is A , but what if n=2, then the n(n-2) is not a multiple of 4 and n is even ......
so how could A be the answer

[mithunsam]

0 is a multiple of every number. Therefore, n cannot be 2.

[hemant.rao110]

0 is the multiple of every no. can u explain

[mithunsam]

For two numbers a and b, we say that b is a multiple of a if b = n * a, for some integer n.

For example, 27 is a multiple of 3 because 27 = 9 * 3. Here, a = 3, b = 26, and n = 9.

For 0, this condition satisfies for any number of a, when n=0.
0 = 0 * a, where a can be any integer.

[jnelson0612]

For two numbers a and b, we say that b is a multiple of a if b = n * a, for some integer n.

For example, 27 is a multiple of 3 because 27 = 9 * 3. Here, a = 3, b = 26, and n = 9.

For 0, this condition satisfies for any number of a, when n=0.
0 = 0 * a, where a can be any integer.

Correct. 0 is considered a multiple of every positive integer.

[hemant.rao110]

thank you jnelson and mithunsam

[jnelson0612]

You are most welcome! :-)