Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

Explanation:-

Remainder,
(1421*1423*1425)/12 ==R==>(5*7*9)/12

[Here, we have taken individual remainder such as 1421 divided by 12 gives remainder 5, 1423 and 1425 gives the remainder as 7 and 9 on dividing by 12.]

Now, the sum is reduced to,
(5*7*9)/12 = (35*9)/12
(35*9)/12 = Remainder ==> -1 * -3 = 3 [Here, we have taken negative reminder.] So, required remainder will be 3.

Note: When, 9/12 it gives positive remainder as 9 and it also give a negative reminder -3. As per our convenience,we can take any time positive or negative reminder.