GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 06 Aug 2020, 19:22 ### 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If a and b are integers and |a - b| = 16, what is the minimum possible

Author Message
TAGS:

### Hide Tags

Manager  S
Joined: 31 Oct 2018
Posts: 76
Location: India
If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

3
12 00:00

Difficulty:   35% (medium)

Question Stats: 65% (01:27) correct 35% (01:49) wrong based on 284 sessions

### HideShow timer Statistics

If a and b are integers and |a - b| = 16, what is the minimum possible value of ab?

A . -16
B . -32
C . -48
D . -64
E . -80
NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1143
Location: India
Concentration: Operations, General Management
GMAT 1: 590 Q46 V25 GMAT 2: 690 Q49 V34 WE: Engineering (Energy and Utilities)
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

2
2
Given |a-b| = 16
Possible values are (-15,1) (-14,2)......(-8,8)
Here the min value is obtained when the value of a and b are same, but with opposite signs.
a = -8 and b = 8
ab = -64
Manager  B
Joined: 19 Feb 2019
Posts: 119
Location: India
Concentration: Marketing, Statistics
GMAT 1: 650 Q46 V34
GPA: 3
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

1
Hi just want to understand why cant it be -20,4??
once the value is in mod can't it be written as |20-4|=16??
This would give the answer as -80
Am I missing something over hear??
DS Forum Moderator V
Joined: 19 Oct 2018
Posts: 2062
Location: India
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

1
if you consider a=20 and b=-4 then |a-b|=24
or if you consider a=-4 and b=-20, even then |a-b|=24
Hence ab can never be equal to -80
devavrat wrote:
Hi just want to understand why cant it be -20,4??
once the value is in mod can't it be written as |20-4|=16??
This would give the answer as -80
Am I missing something over hear??
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 11415
Location: United States (CA)
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

btrg wrote:
If a and b are integers and |a - b| = 16, what is the minimum possible value of ab?

A . -16
B . -32
C . -48
D . -64
E . -80

If a = 8 and b = -8 (or, a = -8 and b = 8), we see that |a - b| = 16 and the product ab = -64. Had we choose any other pairs of numbers for a and b, the product would be greater than -64. For example, if a = 7 and b = -9 (or, a = -9 and b = 7), ab = -63. If a = 6 and b = -10 (or a = -10 and b = 6), ab = -60. We see that both -63 and -60 are greater than -64. So -64 is the smallest product for ab.

_________________

# Scott Woodbury-Stewart | Founder and CEO | Scott@TargetTestPrep.com

250 REVIEWS

5-STAR RATED ONLINE GMAT QUANT SELF STUDY COURSE

NOW WITH GMAT VERBAL (BETA)

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Intern  B
Joined: 16 Jul 2017
Posts: 1
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

nick1816 wrote:
if you consider a=20 and b=-4 then |a-b|=24
or if you consider a=-4 and b=-20, even then |a-b|=24
Hence ab can never be equal to -80
devavrat wrote:
Hi just want to understand why cant it be -20,4??
once the value is in mod can't it be written as |20-4|=16??
This would give the answer as -80
Am I missing something over hear??

But when a=-4 and b=-20, dont we get |a-b|=16 since the negative sign of the equation would cancel the negative sign of b and make it -4+20?
DS Forum Moderator V
Joined: 19 Oct 2018
Posts: 2062
Location: India
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

If a=-4 and b=-20, value of |a-b| will be equal to 16. But product of ab will be equal to 80, not -80.

But when a=-4 and b=-20, dont we get |a-b|=16 since the negative sign of the equation would cancel the negative sign of b and make it -4+20?
Intern  B
Joined: 20 Mar 2017
Posts: 14
Re: If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

Why not C ?can any one explain as -48 I less than -64

Posted from my mobile device
Intern  B
Joined: 20 Jun 2019
Posts: 2
If a and b are integers and |a - b| = 16, what is the minimum possible  [#permalink]

### Show Tags

Deepender wrote:
Why not C ?can any one explain as -48 I less than -64

Posted from my mobile device

Because in a number line the more you move towards left side the smaller the number is.
-64 is on left side of -48. hence -64 is smaller than -48.
So D will be the answer
(how we got D is already explained by others in above comments) If a and b are integers and |a - b| = 16, what is the minimum possible   [#permalink] 12 Jul 2020, 21:02

# If a and b are integers and |a - b| = 16, what is the minimum possible  