It is currently 18 Nov 2017, 13:04

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the least possible product of 4 different integers

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

Hide Tags

Intern
Intern
avatar
Joined: 03 Dec 2010
Posts: 43

Kudos [?]: 46 [0], given: 7

What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 16 Mar 2011, 11:29
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

71% (00:49) correct 29% (02:08) wrong based on 192 sessions

HideShow timer Statistics

What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?

(A) –5040
(B) –3600
(C) –720
(D) –600
(E) –120
[Reveal] Spoiler: OA

Kudos [?]: 46 [0], given: 7

Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 1965

Kudos [?]: 2089 [0], given: 376

Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 16 Mar 2011, 11:44
Select the maximum possible multiple using three biggest possible numbers and negate it by multiplying with maximum -ve.

10*9*8*-5 = -3600

Ans: "B"
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 2089 [0], given: 376

TOEFL Forum Moderator
avatar
Joined: 16 Nov 2010
Posts: 1602

Kudos [?]: 600 [0], given: 40

Location: United States (IN)
Concentration: Strategy, Technology
Reviews Badge
Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 17 Mar 2011, 02:16
Maximize the total product with a -ve sign

so -5 * 10 * 9 * 8 = 720 * -5 = -3600

Answer is B.
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 600 [0], given: 40

Senior Manager
Senior Manager
avatar
Joined: 09 Feb 2011
Posts: 272

Kudos [?]: 218 [0], given: 13

Concentration: General Management, Social Entrepreneurship
Schools: HBS '14 (A)
GMAT 1: 770 Q50 V47
Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 17 Mar 2011, 02:22
greatest product is 10X9X8X7. In negative greater the abs value lesser the number is. so we remove 7, replace it with max possible abs value from the set (5) and put a negative sign that the 5 brought with it. ans -3600

Kudos [?]: 218 [0], given: 13

Intern
Intern
avatar
Joined: 03 Dec 2010
Posts: 43

Kudos [?]: 46 [0], given: 7

Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 17 Mar 2011, 03:17
Can someone please explain as to why we did not choose -5040?

Kudos [?]: 46 [0], given: 7

Intern
Intern
avatar
Joined: 17 Mar 2011
Posts: 15

Kudos [?]: 13 [0], given: 0

Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 17 Mar 2011, 21:10
Because we have to actually have a negative number in there, not just add a - sign at the end. As others said, we utilize -5 so we can change the sign of our product, and then we can go use our three largest numbers which are positive 10,9,8.

Kudos [?]: 13 [0], given: 0

Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 609

Kudos [?]: 1153 [0], given: 39

Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 18 Mar 2011, 10:27

Kudos [?]: 1153 [0], given: 39

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 725

Kudos [?]: 146 [0], given: 42

Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 18 Mar 2011, 17:44
because -5040 is not possible.

the least we can get for the product here is (-5)*10*9*8 = -3600

if we choose one negative , three positive, least possible combination
if we choose two negative and two positive , product becomes positive. hence wont be least possible.
if we choose three negative and one positive -4*-3*-2*10 , possible combination , but wont give least possible.
if we choose four negative , the product becomes positive . hence wont be least possible

trick is choose a largest possible negative integer .

Hence the answer is B.

Acer86 wrote:
Can someone please explain as to why we did not choose -5040?

Kudos [?]: 146 [0], given: 42

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 271

Kudos [?]: 328 [1], given: 16

Location: India
Concentration: General Management, Entrepreneurship
Reviews Badge
What is the least possible product of 4 different integers [#permalink]

Show Tags

New post 07 Apr 2012, 20:45
1
This post received
KUDOS
2
This post was
BOOKMARKED
What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?

(A) –5040
(B) –3600
(C) –720
(D) –600
(E) –120
_________________

Giving +1 kudos is a better way of saying 'Thank You'.

Kudos [?]: 328 [1], given: 16

Senior Manager
Senior Manager
User avatar
Joined: 23 Oct 2010
Posts: 381

Kudos [?]: 403 [0], given: 73

Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
GMAT ToolKit User
Re: least possible product of 4 different integers [#permalink]

Show Tags

New post 07 Apr 2012, 22:21
the OE is -

(-5)*10*9*8=-3600

P.S. I am sorry, but I doubt that ur questions are 700 level.
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

I am still on all gmat forums. msg me if you want to ask me smth

Kudos [?]: 403 [0], given: 73

VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1283

Kudos [?]: 286 [0], given: 10

Re: least possible product of 4 different integers [#permalink]

Show Tags

New post 07 Apr 2012, 22:21
let 4 different integers be a,b,c,d.

since least integer we have to find meaning a = -5 (least number in negative side)

b*c*d = -5 * y

for b. -5 * 8*9*10 = -5 * 720 = -3600
for a -5 * 1080 = -5040 however max number possible = -5 * 10 * 10 * 10 = -5000 hence POE

thus B it is.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Kudos [?]: 286 [0], given: 10

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15704

Kudos [?]: 281 [0], given: 0

Premium Member
Re: What is the least possible product of 4 different integers [#permalink]

Show Tags

New post 19 Jul 2014, 05:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 281 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15704

Kudos [?]: 281 [0], given: 0

Premium Member
Re: What is the least possible product of 4 different integers, each of [#permalink]

Show Tags

New post 09 Nov 2015, 23:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 281 [0], given: 0

Expert Post
Senior Manager
Senior Manager
User avatar
Joined: 20 Aug 2015
Posts: 396

Kudos [?]: 348 [0], given: 10

Location: India
GMAT 1: 760 Q50 V44
Re: What is the least possible product of 4 different integers [#permalink]

Show Tags

New post 10 Nov 2015, 03:38
Acer86 wrote:
What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?

(A) –5040
(B) –3600
(C) –720
(D) –600
(E) –120


Point to be noted: Even number of negative integers multiplied gives us a positive integer and odd numbers of negative integers multiplied gives us a negative integer.
Any number of positive integers multiplied, the result is always a positive integer


We need to find the least possible negative integer after selecting 4 "different" integers from -5 to 10
We can do it by multiplying the extremes and then putting other numbers in between.

Select -5 and 10. Now we need to maximize this.
Since, we need different numbers, we can take 9 and 8

Hence the product = -5*8*9*10 = -3600
Option B
_________________

Reach out to us at bondwithus@gmatify.com

Image

Kudos [?]: 348 [0], given: 10

Re: What is the least possible product of 4 different integers   [#permalink] 10 Nov 2015, 03:38
Display posts from previous: Sort by

What is the least possible product of 4 different integers

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.