Data Sufficiency

If a and b are the digits of the two-digit number X, what is the remainder when X is divided by 9?

(1) a + b = 11

(2) X + 7 is divisible by 9


IN statement two,Cant x be 02 (two digit integer) + 7, which is divisible by 9?

for this reason, I disregarded the statement


qa is d

Use divisibility test for 9: sum of the digits should be divisible by 9
Thus, if a+b = 11 this is not divisible by 9 and would give the remainder as 2.

Similarly, if X+7 is divisible by 9 then X is obviously not divisible by nine.
As 7 is needed to be added to X to make it divisible by 9, thus the remainder would be 2 (same as in 1).
e.g: 2+7/9 so 2/9 remainder is 2
11+7/9 is integer so 11/9 gives remainder 2 and so on..

yes my question is not the actual answer or the approach. My specific question is cant x be 02. If so, statement two is insuffucient.

i have a problem with the answer choice D.

Can't X be negative? If X=-16, then X+7=-9, which i believe is divisible by 9.

A negative two-digit number is still a two-digit number right?

I posted this on MGMAT forum earlier but haven't gotten a response yet.

thanks a bunch