BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

DS - Consecutive negative integers

Expert replies
by karthikpandian19 » Wed Jun 20, 2012 11:47 pm
If x and y are consecutive negative integers, is x greater than y?

x + 1 and y - 1 are consecutive negative integers.
x is an even integer
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Join the discussion
Source: — Data Sufficiency |

by Anurag@Gurome » Thu Jun 21, 2012 12:25 am
karthikpandian19 wrote:If x and y are consecutive negative integers, is x greater than y?

x + 1 and y - 1 are consecutive negative integers.
x is an even integer
Statement 1: Note that the following pairs are consecutive negative integers,
  • x and y
    x and (x + 1)
    y and (y - 1)
    (x + 1) and (y - 1)
This is only possible when x = (y - 1)
Therefore, x < y

Sufficient

Statement 2: This is not enough to draw any relevant conclusion. For example,
  • 1. x = -2 and y -1 --> x < y
    2. x = -2 and y = -2 --> x = y
    3. x = -2 and y = -3 --> x > y
Not sufficient

The correct answer is A.
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/
Join the discussion

by karthikpandian19 » Fri Jun 22, 2012 1:46 pm
OA is A
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Join the discussion

by GMATGuruNY » Sat Jun 23, 2012 4:32 am
karthikpandian19 wrote:If x and y are consecutive negative integers, is x greater than y?

x + 1 and y - 1 are consecutive negative integers.
x is an even integer
The different between consecutive integers is 1.

Statement 1: x+1 and y-1 are consecutive negative integers.
Case 1:
(x+1) - (y-1) = 1.
1 = y-x.
This works: the difference between y and x is 1, satisfying the condition that x and y are consecutive integers.
In this case, y>x.

Case 2:
(y-1) - (x+1) = 1
y-x = 3.
Doesn't work: x and y are not consecutive integers.

Since only Case 1 is possible, y>x.
SUFFICIENT.

Statement 2: x is even.

No information about y.
INSUFFICIENT.

The correct answer is A.
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
Join the discussion

by karthikpandian19 » Sat Jun 23, 2012 1:14 pm
I am pretty confused with ur explanation on Statement 1 - Case 2.........

Suppose, if -9 & -10 are two consec. intg;

(-9) - (-10) = 1 true
(-10) - (-9) = -1 false but the magnitude / value should be same

But how come it comes to 3, in your explanation???
GMATGuruNY wrote:
karthikpandian19 wrote:If x and y are consecutive negative integers, is x greater than y?

x + 1 and y - 1 are consecutive negative integers.
x is an even integer
The different between consecutive integers is 1.

Statement 1: x+1 and y-1 are consecutive negative integers.
Case 1:
(x+1) - (y-1) = 1.
1 = y-x.
This works: the difference between y and x is 1, satisfying the condition that x and y are consecutive integers.
In this case, y>x.

Case 2:
(y-1) - (x+1) = 1
y-x = 3.
Doesn't work: x and y are not consecutive integers.

Since only Case 1 is possible, y>x.
SUFFICIENT.

Statement 2: x is even.

No information about y.
INSUFFICIENT.

The correct answer is A.
Regards,
Karthik
The source of the questions that i post from JUNE 2013 is from KNEWTON

---If you find my post useful, click "Thank" :) :)---
---Never stop until cracking GMAT---
Join the discussion

by GMATGuruNY » Sat Jun 23, 2012 1:35 pm
karthikpandian19 wrote:I am pretty confused with ur explanation on Statement 1 - Case 2.........

Suppose, if -9 & -10 are two consec. intg;

(-9) - (-10) = 1 true
(-10) - (-9) = -1 false but the magnitude / value should be same

But how come it comes to 3, in your explanation???
Statement 1 tells us that (x+1) and (y-1) are consecutive integers.
Thus, there are two possibilities:
Case 1: (x+1) is one more than (y-1).
Case 2: (y-1) is one more than (x+1).

Case 2 implies the following:
(y-1) - (x+1) = 1.
y-x = 3.
Here, x and y are not consecutive integers.
Since the question stem REQUIRES that x and y be consecutive integers, Case 2 is not viable.
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
Join the discussion