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.
