Question

When 12 is divided by a positive
integer n, the remainder is (n - 3).
which of the following is the possible
value of n2​

Answer 1

Answer:

5 is the answer

Step-by-step explanation:

When 12 divided by a positive integer n, the remainder is (n−3).

Thus, 12=nk+(n−3),  where is a k positive integer

            ⇒12=nk+n−3

            ⇒15=n(k+1)

The divisors of 15 are 1,3,5,15.

Thus, the possible values of (n,k+1) are (1,15),(15,1),(3,5),(5,3).

Now, (1,15),(15,1),(3,5) does not satisfy our initial equation 12=nk+(n−3).

Therefore n=5 is the possible value.