What is the value of mode x+7 ?
(1) mode x+3 = 14
(2) (x + 2)^2 = 169
Ans which is given at end is:- D but i am getting C. Plz confirm which is correct
Absolute value Ques. Need help..plz
This topic has expert replies
-
- Senior | Next Rank: 100 Posts
- Posts: 36
- Joined: Tue Mar 02, 2010 9:38 am
- Location: India
- Followed by:1 members
- GMAT Score:540
- Stuart@KaplanGMAT
- GMAT Instructor
- Posts: 3225
- Joined: Tue Jan 08, 2008 2:40 pm
- Location: Toronto
- Thanked: 1710 times
- Followed by:614 members
- GMAT Score:800
Hi,pardeep_10sharma wrote:What is the value of mode x+7 ?
(1) mode x+3 = 14
(2) (x + 2)^2 = 169
Ans which is given at end is:- D but i am getting C. Plz confirm which is correct
C is definitely correct, since each statement gives two values for x and, accordingly, 2 values for |x+7|.
Please post the source of every question that you ask about - that way we can easier judge whether there's likely to be an error and people know which sources are untrustworthy.
Showing the work:
Q: what's the value of |x+7|?
(1) |x+3| = 14
+(x+3) = 14 or -(x+3) = 14
x = 11 or x = -17
If x=11, then |x+7| = 18
If x = -17, then |x + 7| = 10
(2) (x+2)^2 = 169
x+2 = 13 or x+2 = -13
x = 11 or x = -15
If x=11, then |x+7| = 18
If x = -15, then |x+7|= -8
Combined: only x=11 fits both... sufficient, choose (C).
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
Kaplan Exclusive: The Official Test Day Experience | Ready to Take a Free Practice Test? | Kaplan/Beat the GMAT Member Discount
BTG100 for $100 off a full course