Data Sufficiency

Hello,

I was wondering if anyone could help me with this question. I read the explanation at the back but I don't really understand it.

The question is:

What is the tens digit of the positive integer x?

1. X divided by 100 has a remainder of 30
2. X divided by 110 has a remainder of 30

What is the fastest way to find the what # gives you a remainder of 30 for statement 2? Or do I have to find it through trial and error?

Also can anyone give me some tips on how to do these remainder questions I always mess up on them.

Hi Nuku

What is the solution ? I think that the answer is A

I prefer trial and error for the second option.

Yups the answer is A

nuku888 wrote:Hello,

I was wondering if anyone could help me with this question. I read the explanation at the back but I don't really understand it.

The question is:

What is the tens digit of the positive integer x?

1. X divided by 100 has a remainder of 30
2. X divided by 110 has a remainder of 30

What is the fastest way to find the what # gives you a remainder of 30 for statement 2? Or do I have to find it through trial and error?

Also can anyone give me some tips on how to do these remainder questions I always mess up on them.

1 - Sufficient. X = 100n + 30. So tens digit has to be 3.

2 - Insufficient. X = 110n + 30 = 100n + 10n + 30. So, tens digit
depends on n, which we don't know

Hence A