|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
alphonsa
Joined: 22 Jul 2014
Last visit: 25 Oct 2020
Posts: 106
Given Kudos: 196
Concentration: General Management, Finance
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
WE:Engineering (Energy)
Products:
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
Posts: 106
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
42% (02:00) correct
58%
(02:04)
wrong
based on 169
sessions
History
Date
Time
Result
Not Attempted Yet
Integers a and b are such that a - b > 0. Is |a| > |b| ?
(1) ab > 0
(2) a + b = 12
Source : 4Gmat
(1) ab > 0
(2) a + b = 12
Source : 4Gmat
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
10 Aug 2014, 08:23
Kudos
Bookmarks
alphonsa
Start with the question. Do some algebra, move the b to the other side of the inequality and you can quickly figure out that a > b.
Next, we look at statement 1:
ab > 0
This means that a and b are positive or both are negative.
The question is asking about absolute values. Therefore we have to consider that in the negative values, the smaller the number, the greater its absolute value. Therefore, since we don't know whether a and be are positive or negative, we have to say statement 1 is insufficient.
Examples:
a= 2
b = 1
TRUE
a=-2
b=-3
FALSE
INSUFFICIENT
Eliminate A, D.
Next, we do statement 2:
The question tells us that b < a.
a+b = 12.
If b < a, then a can't be a negative number, otherwise statement 2 would not hold true. Therefore a is positive, and |b| must also be less than a.
SUFFICIENT
Correct answer is B.
01 Jun 2017, 01:02
Kudos
Bookmarks
Integers a and b are such that a - b > 0. Is |a| > |b| ?
(1) ab > 0
(2) a + b = 12
Integers a and b are such that a - b > 0
means a > b
(1) ab > 0 Not sufficient
while selecting values keep in mind a > b
take a= 5 and b =3 ( Is |a| > |b| = yes )
take a= -5 and b = -10 ( Is |a| > |b| = no )
(2) a + b = 12
while selecting values keep in mind a > b
here a can be positive and b positive
or
a can be positive and b negative .
therefore
( Is |a| > |b| = yes )
B ans .
Regards,
Press Kudos if you like the post .
(1) ab > 0
(2) a + b = 12
Integers a and b are such that a - b > 0
means a > b
(1) ab > 0 Not sufficient
while selecting values keep in mind a > b
take a= 5 and b =3 ( Is |a| > |b| = yes )
take a= -5 and b = -10 ( Is |a| > |b| = no )
(2) a + b = 12
while selecting values keep in mind a > b
here a can be positive and b positive
or
a can be positive and b negative .
therefore
( Is |a| > |b| = yes )
B ans .
Regards,
Press Kudos if you like the post .
