gmatblood wrote:What is the tens digt of positive integer x
(1) x divided by 100 has a remainder of 30
(2) x divided by 110 has a remander of 30

IMO: A

As rijul007 showed, listing possible values of x is a great approach here.

To answer questions involving remainders, it's useful to be able to list possible values. So, here's the rule for this:

If N/D has remainder R, then the possible values of N = R, R+D, R+2D, R+3D, . . .
Note: N,D and R are non-negative integers.

Example: If N divided by 7 has remainder 3, then the possible values of N are as follows: 3, 10, 17, 24, 31, 38, etc

Cheers,
Brent

Hi All,

We're told that X is a positive integer. We're asked for the TENS DIGIT of X. This question can be solved by TESTing VALUES.

1) X divided by 100 has a remainder of 30

IF....
X = 30, then 30/100 = 0 r 30 and the answer to the question is 3
X = 130, then 130/100 = 1 r 30 and the answer to the question is 3
X = 230, then 230/100 = 2 r 30 and the answer to the question is 3
Etc.
Based on the information in Fact 1, the answer to the question is ALWAYS 3.
Fact 1 is SUFFICIENT

2) X divided by 110 has a remander of 30

IF....
X = 30, then 30/110 = 0 r 30 and the answer to the question is 3
X = 140, then 140/110 = 1 r 30 and the answer to the question is 4
Fact 2 is INSUFFICIENT

Final Answer: A

GMAT assassins aren't born, they're made,
Rich