Last visit was: 24 Apr 2026, 09:06 It is currently 24 Apr 2026, 09:06
Home
Messages
Tests
Schools
Events
Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
anceer
User avatar
Joined: 04 Aug 2013
Last visit: 18 Sep 2023
Posts: 76
Own Kudos:
1,251
 [19]
Given Kudos: 56
Location: India
Schools: McCombs '17
GMAT 1: 670 Q47 V35
GPA: 3
WE:Manufacturing and Production (Pharmaceuticals and Biotech)
Schools: McCombs '17
GMAT 1: 670 Q47 V35
Posts: 76
Kudos: 1,251
 [19]
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 15 Apr 2016, 07:09
Kudos
Add Kudos
19
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

85% (hard)

Question Stats:

52% (02:17) correct 48% (01:59) wrong based on 473 sessions

History

Date
Time
Result
Not Attempted Yet
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,008
 [9]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,008
 [9]
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 15 Apr 2016, 07:31
5
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above
Show more


Hi,
since we are looking for the maximum possible value, we will take two smallest negative integer, -10 and -9, and the largest possible positive integer thereafter..

few points--


1) we are taking two -ive and one +, so that the PRODUCT can be +..
2) we are taking biggest NUMERIC value in -, as a+b+c will become largest possible - integer, which will become + after being multiplied by another - sign

so \([abc – (a+b+c)] = (-10)(-9)(8) - (-10-9+8) = 720-(-11) = 731\)
C
General Discussion
avatar
marcelonac
avatar
Joined: 14 Mar 2016
Last visit: 24 Aug 2016
Posts: 3
Own Kudos:
31
Given Kudos: 6
Location: United States
Concentration: Technology, Strategy
Schools: Sloan '19
GPA: 3.2
WE:Business Development (Computer Software)
Schools: Sloan '19
Posts: 3
Kudos: 31
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 15 Apr 2016, 07:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is the answer bank correct? Shouldn't option C be 713?

Posted from my mobile device
User avatar
Shruti0805
User avatar
Joined: 24 Dec 2016
Last visit: 02 Sep 2021
Posts: 91
Own Kudos:
49
Given Kudos: 145
Location: India
Concentration: Finance, General Management
Schools: Simon '21 (A$) Carlson '21 (A$) McDonough '21 (A)
WE:Information Technology (Computer Software)
Schools: Simon '21 (A$) Carlson '21 (A$) McDonough '21 (A)
Posts: 91
Kudos: 49
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 06 Aug 2018, 22:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above


Hi,
since we are looking for the maximum possible value, we will take two smallest negative integer, -10 and -9, and the largest possible positive integer thereafter..

few points--


1) we are taking two -ive and one +, so that the PRODUCT can be +..
2) we are taking biggest NUMERIC value in -, as a+b+c will become largest possible - integer, which will become + after being multiplied by another - sign

so \([abc – (a+b+c)] = (-10)(-9)(8) - (-10-9+8) = 720-(-11) = 731\)
C
Show more


Hi chetan2u,

This might be a really stupid question but why could you please help understand why we didn't we take the value of abc as 987 which would make \([abc – (a+b+c)]\) = \(987 - (9+8+7)\) = 963 ?
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,008
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,008
 [1]
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 06 Aug 2018, 22:36
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Shruti0805
chetan2u
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above


Hi,
since we are looking for the maximum possible value, we will take two smallest negative integer, -10 and -9, and the largest possible positive integer thereafter..

few points--


1) we are taking two -ive and one +, so that the PRODUCT can be +..
2) we are taking biggest NUMERIC value in -, as a+b+c will become largest possible - integer, which will become + after being multiplied by another - sign

so \([abc – (a+b+c)] = (-10)(-9)(8) - (-10-9+8) = 720-(-11) = 731\)
C


Hi chetan2u,

This might be a really stupid question but why could you please help understand why we didn't we take the value of abc as 987 which would make \([abc – (a+b+c)]\) = \(987 - (9+8+7)\) = 963 ?
Show more

Shruti,
Reason is abc is a*b*c so 9*8*7=504
But you are taking it as 987 a 3-digit number.
If a and B are negative, ABC cannot be a integer.
avatar
Monnie
avatar
Joined: 20 Aug 2018
Last visit: 13 Dec 2018
Posts: 2
Given Kudos: 11
Posts: 2
Kudos: 0
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 04 Sep 2018, 05:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above


Hi,
since we are looking for the maximum possible value, we will take two smallest negative integer, -10 and -9, and the largest possible positive integer thereafter..

few points--


1) we are taking two -ive and one +, so that the PRODUCT can be +..
2) we are taking biggest NUMERIC value in -, as a+b+c will become largest possible - integer, which will become + after being multiplied by another - sign

so \([abc – (a+b+c)] = (-10)(-9)(8) - (-10-9+8) = 720-(-11) = 731\)
C
Show more

to get the maximum value,
we should have the maximum value of abc = (-10)(10)(-9) = 900
plus the maximum value of (a+b+c) = - (-10 - 9 - 8) = -(-27) = +27
so, the maxmium value should be 900+27 = 927

please kindly help advise if there's any problem with my concept here? Thanks
avatar
Monnie
avatar
Joined: 20 Aug 2018
Last visit: 13 Dec 2018
Posts: 2
Given Kudos: 11
Posts: 2
Kudos: 0
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 04 Sep 2018, 05:57
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Monnie
chetan2u
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above


Hi,
since we are looking for the maximum possible value, we will take two smallest negative integer, -10 and -9, and the largest possible positive integer thereafter..

few points--


1) we are taking two -ive and one +, so that the PRODUCT can be +..
2) we are taking biggest NUMERIC value in -, as a+b+c will become largest possible - integer, which will become + after being multiplied by another - sign

so \([abc – (a+b+c)] = (-10)(-9)(8) - (-10-9+8) = 720-(-11) = 731\)
C

to get the maximum value,
we should have the maximum value of abc = (-10)(10)(-9) = 900
plus the maximum value of (a+b+c) = - (-10 - 9 - 8) = -(-27) = +27
so, the maxmium value should be 900+27 = 927

please kindly help advise if there's any problem with my concept here? Thanks
Show more

Ok, I got my problem!
User avatar
GMATGuruNY
User avatar
Joined: 04 Aug 2010
Last visit: 02 Apr 2026
Posts: 1,347
Own Kudos:
3,905
 [1]
Given Kudos: 9
Schools:Dartmouth College
Expert
Expert reply
Posts: 1,347
Kudos: 3,905
 [1]
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 04 Sep 2018, 05:58
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Monnie
[to get the maximum value,
we should have the maximum value of abc = (-10)(10)(-9) = 900
plus the maximum value of (a+b+c) = - (-10 - 9 - 8) = -(-27) = +27
so, the maxmium value should be 900+27 = 927

please kindly help advise if there's any problem with my concept here? Thanks
Show more

The prompt indicates that |a| ≠ |b| ≠ |c|, so a=-10 and b=10 is not a viable case.
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,008
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,008
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 04 Sep 2018, 05:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Monnie
chetan2u
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above


Hi,
since we are looking for the maximum possible value, we will take two smallest negative integer, -10 and -9, and the largest possible positive integer thereafter..

few points--


1) we are taking two -ive and one +, so that the PRODUCT can be +..
2) we are taking biggest NUMERIC value in -, as a+b+c will become largest possible - integer, which will become + after being multiplied by another - sign

so \([abc – (a+b+c)] = (-10)(-9)(8) - (-10-9+8) = 720-(-11) = 731\)
C

to get the maximum value,
we should have the maximum value of abc = (-10)(10)(-9) = 900
plus the maximum value of (a+b+c) = - (-10 - 9 - 8) = -(-27) = +27
so, the maxmium value should be 900+27 = 927

please kindly help advise if there's any problem with my concept here? Thanks
Show more


abc and a+b+c are part of same equation so you have take same value of a,B and c in both abc and a+b+c.. but here you have taken -10,10,-9 and -10,-9,-8
Secondly when you have taken abc you have taken a as -10 and b as 10 but it is given |a| is not equal to |b| but you have taken both |-10|=|10| hence wrong
User avatar
castiel
User avatar
Joined: 16 Jan 2017
Last visit: 01 Aug 2019
Posts: 10
Own Kudos:
6
Given Kudos: 51
Posts: 10
Kudos: 6
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 11 Sep 2018, 22:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above
Show more



Can't we take the value of 'a' greater than 10?
e.g., a=20, 100,..
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,008
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,008
 [1]
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 11 Sep 2018, 22:37
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
castiel
anceer
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a+b+c)]?


A. 524
B. 693
C. 731
D. 970
E. None of the above



Can't we take the value of 'a' greater than 10?
e.g., a=20, 100,..
Show more

no because it is given that -10 ≤ a, b, c ≤ 10, so a has to be within -10 and 10, that is any of -10,-9,-8,-7,-6,-5.....0,1,2,3....8,9,10
User avatar
abhinav5
User avatar
Joined: 29 Aug 2018
Last visit: 19 Jun 2019
Posts: 21
Own Kudos:
3
Given Kudos: 1
Posts: 21
Kudos: 3
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 11 Sep 2018, 22:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We can take 10,9 and 8 to make the quantity max.
Also abc>0 and (a+b+c)<0
a=-10,b=-9 and c=8
C) will be the answer.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,974
Own Kudos:
1,117
Posts: 38,974
Kudos: 1,117
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil 25 Aug 2024, 09:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109814 posts
Krunaal
Tuck School Moderator
853 posts