ardz24 wrote:What is the tens digit of positive integer x ?
(1) x divided by 100 has a remainder of 30.
(2) x divided by 110 has a remainder of 30.
Statement 1:
Since dividing x by 100 leaves a remainder of 30, x is 30 MORE THAN A MULTIPLE OF 100.
In math terms:
x = 100a + 30, where a is a nonnegative integer.
Options for x:
30, 130, 230, 330...
In every case, the tens digit of x is 3.
SUFFICIENT.
Statement 2:
Since dividing x by 110 leaves a remainder of 30, x is 30 MORE THAN A MULTIPLE OF 110.
In math terms:
x = 110b + 30, where b is a nonnegative integer.
Options for x:
30, 140, 250, 360...
Since the tens digit of x can be different values, INSUFFICIENT.
The correct answer is
A.
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