Another remainder question

[umgrad76]

What is the remainder when the positive integer X is divided by 3?

1) When X is divided by 6, the remainder is 2
2) When X is divided by 15, the remainder is 2

SPOILER:
D

I need to work on this question type. Any suggestions?

[Ankost]

In both cases the remainder is 2
1. 6a+2=x remainder is always 2
2. 15b+2=x remainder is also 2

[abhi426]

Because the integer for which 6 and 15 are divisor, 3 MUST be a divisor as well... Therefore because 2 is less than 3, the reminder will be 2 as well in both case, Now it has it been 5 in option 1 or say 7 in case B

ans would have been 2 and 1 respectively... Hope you got that...

[umgrad76]

I'm sorry, I'm still having a little difficulty understanding. Could anyone please exand on this?

[DWarrior]

Statement 1:
6a+2=x
3*(2a)+2=x
So now we know x is some multiple of 3 with remainder 2.
Sufficient

Statement 2:
15b+2=x
3*(5b)+2=x
So we know x is some multiple of 3 with remainder 2.
Sufficient

D

Does that make it clearer?

[jcmsolis]

My advise is that you try to pick a few numbers. For example, pick 8, 14, and 20 that satisfy statement A. Then, if you knew this, you could answer the question?
Do the same with the second statement, pick 17, 32, 47 and you will find that you can also answer the question with that information. As a result, both statements are sufficient by themselves.

[umgrad76]

I understand now. I don't know why I was having trouble getting my head around this one. Thanks for taking the time to explain.

I went with the plugging in approach to work it out.