True
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 111
- Joined: Sat Apr 14, 2012 11:09 am
- Thanked: 1 times
- Followed by:7 members
How I and II is true??
For example x consecutive even numbers are 2,4,6,8 then median is 5 that is y is not even. Y is odd.
Again , X consecutive even number can be 2,4,6,8,10 then median is 6 that is y is not odd. Y is even.
So y can be even and also can be odd. This means Y is neither always even nor always odd.
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
The question stem asks which of the three statements COULD be true.If there are x consecutive even numbers that have a median of y, which of the following could be true?
I: y is even
II: x is even
III: y>x
A) I only
B) II only
C) II and III
D) I and III
E) I, II and III
If we can find even ONE case in which a statement is true, then that statement COULD be true and must be included in the correct answer choice.
If x=2, then there are two consecutive even integers.
Let the two integers be 2 and 4.
y = median = (2+4)/2 = 3.
In this case, x is even and y>x.
Thus, the correct answer choice must include II and III.
Eliminate A, B, and D.
If x=3, then there are three consecutive even integers.
Let the three integers be 2, 4 and 6.
y = median = 4.
In this case, y is even.
Thus, the correct answer choice must include I.
Eliminate C.
The correct answer is E.
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
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