Question

What is the minimum value of abs(286m – 351n – 617) as m, n take all integer values?

Here abs is the absolute value function (that is, if x > 0, then abs(x) = x and if x < 0, then

abs(x) = – x).

a) 6

b) 3

c) 2

d) 4

Answer 1

Answer: 6

Step-by-step explanation:

286m - 351n - 617

This expression can be written as

13(22m - 27n) - 617

Let's take (22m - 27n) as x

That means, the expression can be

13x - 617

Now, consider the factors for 13 nearest to 617

The nearest factor is 611

So, 611 - 617 = - 6

abs(-6) =6.