varun289 wrote:The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance form A to C?
I 11
II 1
III 7
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, or III.
Case 1: In triangle ABC, AB=5 and BC = 6
Here, the length of AC must be LESS THAN THE SUM of other two sides and GREATER THAN THE DIFFERENCE of the other two sides:
6-5 < AC < 6+5
1 < AC < 11.
Thus, it's possible that AC = 7.
Eliminate any answer choice that does not include III (A, B and C).
Case 2: A <--5 miles--> B <--6 miles--> C
Here, AC = 5+6 = 11 miles.
Eliminate D, which does not include I.
The correct answer is
E.
In the following case, AC=1:
C <--1 mile--> A <--5 miles--> B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
