BTGmoderatorDC wrote: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
OA D
Source: Manhattan Prep
To know the remainder when X is divided by 9, divide the sum of digits of X by 9.
Let's take each statement one by one.
(1) a + b = 11
Thus, the sum of digits of X = 11. Dividing 11 by 9, we get 2 as remainder. Sufficient.
(2) X + 7 is divisible by 9.
=> [(X - 2) + 9] is divisible by 9.
=> (X - 2) is divisible by 9.
Thus, X divisible by 9 will leave 2 as remainder. Sufficient.
The correct answer:
D
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
GMAT Classes Berlin |
GMAT Prep Courses Manila |
LSAT Prep Courses NYC |
SAT Prep Classes Orlando | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
