When 200 is divided by a positive integer x, the remainder is 8. How many values of x are there

When 200 is divided by a positive integer x, the remainder is 8. How many values of x are there?

 (a) 7

(b) 5

(c) 8

(d) 6

Sol:

When 200 is divided by x remainder is 8. So, the number exactly divisible by x is 192.

Multiples of 192 = 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

The remainder is always less than the divisor, so 😡 > 8

Desired values are 12, 16, 24, 32, 48, 64, 96, 192.