If w, x and y are integers such that w < x < y, are w, x and y consecutive integers?
(1) y - w = 2
(2) The average (arithmetic mean) of w, x and y is x
Is there another way to evaluate statement 2 using number properties?
Number Property
This topic has expert replies
-
- Senior | Next Rank: 100 Posts
- Posts: 62
- Joined: Mon Mar 28, 2011 9:35 pm
- Thanked: 4 times
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
If w, x, and y are consecutive integers then y = x + 1 = w + 2artstudent wrote:If w, x and y are integers such that w < x < y, are w, x and y consecutive integers?
(1) y - w = 2
(2) The average (arithmetic mean) of w, x and y is x
Statement 1: y = w + 2
As x is an integer and w < x < y, x must be equal to (w + 1) = (y - 1)
Thus, w, x, and y are consecutive integers.
Sufficient
Statement 2: (w + x + y)/3 = x ---> (w + y) = 2x
This means w, x, and y are uniformly distributed integers. They may or may not be consecutive integers.
Not sufficient
The correct answer is A.
Last edited by Anurag@Gurome on Mon Aug 22, 2011 11:06 pm, edited 1 time in total.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
- sl750
- Master | Next Rank: 500 Posts
- Posts: 496
- Joined: Tue Jun 07, 2011 5:34 am
- Thanked: 38 times
- Followed by:1 members
Although we don't know what x is in statement 1, we know that it is between w and y. Can you give an example of where this condition is satisfied and three numbers are not consecutive?
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
Thank you for pointing that out. I've missed the fact that x is an integer and it lies between w and y. Statement 1 is indeed sufficient.sl750 wrote:Although we don't know what x is in statement 1, we know that it is between w and y. Can you give an example of where this condition is satisfied and three numbers are not consecutive?
Editing my reply.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
-
- Legendary Member
- Posts: 608
- Joined: Sun Jun 19, 2011 11:16 am
- Thanked: 37 times
- Followed by:8 members
Since all the numbers are integer -- using condition 1 we will get the answer-- Hence A is sufficient.
For condition B - Lets take 1,2,3 = mean 2.. also for 1,3,5 mean is 3. Hence the condition is not suffiencent.
A should be the right answer.
For condition B - Lets take 1,2,3 = mean 2.. also for 1,3,5 mean is 3. Hence the condition is not suffiencent.
A should be the right answer.
artstudent wrote:If w, x and y are integers such that w < x < y, are w, x and y consecutive integers?
(1) y - w = 2
(2) The average (arithmetic mean) of w, x and y is x
Is there another way to evaluate statement 2 using number properties?
-
- Master | Next Rank: 500 Posts
- Posts: 418
- Joined: Sun Jul 04, 2010 12:48 pm
- Thanked: 6 times
- Followed by:3 members
statement (2) reduces to x = (w+y)/2...as stated by Anurag
we know that average of 2 numbers is also the mid-point
w.......x.........y
w any y can be any number and x is their mid-point.
1,2,3 satisfies (2) and they are consecutive.
Although 1,3,5 also satisfies (2), they are not consecutive.
Insufficient.
we know that average of 2 numbers is also the mid-point
w.......x.........y
w any y can be any number and x is their mid-point.
1,2,3 satisfies (2) and they are consecutive.
Although 1,3,5 also satisfies (2), they are not consecutive.
Insufficient.
- navami
- Legendary Member
- Posts: 540
- Joined: Sat Dec 20, 2008 7:24 pm
- Thanked: 37 times
- Followed by:6 members
statement 1 sufficient .
statement 2 insufficient becaz
-1, 1, 3 will satisfy (2) but they are not consecutive but 1, 2, 3 will also satisfy where as they are consecutive,
statement 2 insufficient becaz
-1, 1, 3 will satisfy (2) but they are not consecutive but 1, 2, 3 will also satisfy where as they are consecutive,
This time no looking back!!!
Navami
Navami