GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Feb 2019, 16:08

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Online GMAT boot camp for FREE

February 21, 2019

February 21, 2019

10:00 PM PST

11:00 PM PST

Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT

# a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Aug 2013
Posts: 96
Location: India
Schools: McCombs '17
GMAT 1: 670 Q47 V35
GPA: 3
WE: Manufacturing and Production (Pharmaceuticals and Biotech)
a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

15 Apr 2016, 06:09
10
00:00

Difficulty:

95% (hard)

Question Stats:

48% (02:22) correct 52% (01:53) wrong based on 293 sessions

### HideShow timer Statistics

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
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

15 Apr 2016, 06:31
4
1
anceer wrote:
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
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

##### General Discussion
Intern
Joined: 14 Mar 2016
Posts: 3
Location: United States
Concentration: Technology, Strategy
Schools: Sloan '19
GPA: 3.2
WE: Business Development (Computer Software)
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

15 Apr 2016, 06:27
Is the answer bank correct? Shouldn't option C be 713?

Posted from my mobile device
Manager
Joined: 24 Dec 2016
Posts: 96
Location: India
Concentration: Finance, General Management
WE: Information Technology (Computer Software)
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

06 Aug 2018, 21:26
chetan2u wrote:
anceer wrote:
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 ?
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

06 Aug 2018, 21:36
1
Shruti0805 wrote:
chetan2u wrote:
anceer wrote:
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 ?

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.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Intern
Joined: 20 Aug 2018
Posts: 2
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

04 Sep 2018, 04:52
chetan2u wrote:
anceer wrote:
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
Intern
Joined: 20 Aug 2018
Posts: 2
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

04 Sep 2018, 04:57
Monnie wrote:
chetan2u wrote:
anceer wrote:
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

Ok, I got my problem!
Senior Manager
Joined: 04 Aug 2010
Posts: 351
Schools: Dartmouth College
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

04 Sep 2018, 04:58
1
Monnie wrote:
[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

The prompt indicates that |a| ≠ |b| ≠ |c|, so a=-10 and b=10 is not a viable case.
_________________

GMAT and GRE Tutor
Over 1800 followers
GMATGuruNY@gmail.com
New York, NY
If you find one of my posts helpful, please take a moment to click on the "Kudos" icon.
Available for tutoring in NYC and long-distance.

Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

04 Sep 2018, 04:59
Monnie wrote:
chetan2u wrote:
anceer wrote:
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

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
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Intern
Joined: 16 Jan 2017
Posts: 10
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

11 Sep 2018, 21:29
anceer wrote:
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,..
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

11 Sep 2018, 21:37
1
castiel wrote:
anceer wrote:
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,..

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
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Intern
Joined: 29 Aug 2018
Posts: 22
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil  [#permalink]

### Show Tags

11 Sep 2018, 21:43
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.
Re: a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil   [#permalink] 11 Sep 2018, 21:43
Display posts from previous: Sort by

# a, b, c are integers. |a| ≠ |b| ≠ |c| and -10 ≤ a, b, c ≤ 10. What wil

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.