BTGmoderatorDC wrote:What is the units digit of positive integer p?
(1) When p is divided by 10, the remainder is 8
(2) When p is divided by 11, the remainder is 8
We have to get the units digit of positive integer p.
Let's take each statement one by one.
(1) When p is divided by 10, the remainder is 8.
Say the quotient is q, then we have p = 10q + 8, where q = a non-negative integer
For q = 0, 1, 2, 3,..., we have p = 8, 18, 28, 38, ... We see that the units digit of positive integer p is 8. Sufficient.
(2) When p is divided by 11, the remainder is 8.
Say the quotient is m, then we have p = 11m + 8, where m = a non-negative integer
For m = 0, 1, 2, 3,..., we have p = 8, 19, 30, 41, ... We see that the units digit of positive integer p is not the same. Insufficient.
The correct answer:
A
Hope this helps!
-Jay
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