Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 27 Aug 2016, 02:02

### 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 June
Open Detailed Calendar

# What is the least possible product of 4 different integers

Author Message
TAGS:

### Hide Tags

Intern
Joined: 03 Dec 2010
Posts: 43
Followers: 1

Kudos [?]: 26 [0], given: 7

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

### Show Tags

16 Mar 2011, 11:29
2
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

72% (01:46) correct 28% (02:21) wrong based on 161 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
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 157

Kudos [?]: 1559 [0], given: 376

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

### Show Tags

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"
_________________
SVP
Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 470 [0], given: 36

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

### Show Tags

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

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

_________________

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

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Joined: 09 Feb 2011
Posts: 285
Concentration: General Management, Social Entrepreneurship
Schools: HBS '14 (A)
GMAT 1: 770 Q50 V47
Followers: 13

Kudos [?]: 175 [0], given: 13

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

### Show Tags

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
Intern
Joined: 03 Dec 2010
Posts: 43
Followers: 1

Kudos [?]: 26 [0], given: 7

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

### Show Tags

17 Mar 2011, 03:17
Can someone please explain as to why we did not choose -5040?
Intern
Joined: 17 Mar 2011
Posts: 17
Followers: 0

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

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

### Show Tags

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.
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 649
Followers: 39

Kudos [?]: 725 [0], given: 39

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

### Show Tags

18 Mar 2011, 10:27
Director
Joined: 01 Feb 2011
Posts: 757
Followers: 14

Kudos [?]: 100 [0], given: 42

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

### Show Tags

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 .

Acer86 wrote:
Can someone please explain as to why we did not choose -5040?
Senior Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 289
Location: India
Concentration: General Management, Entrepreneurship
Followers: 2

Kudos [?]: 215 [1] , given: 16

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

### Show Tags

07 Apr 2012, 20:45
1
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'.

Current Student
Joined: 23 Oct 2010
Posts: 386
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Followers: 21

Kudos [?]: 284 [0], given: 73

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

### Show Tags

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

VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 17

Kudos [?]: 217 [0], given: 10

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

### Show Tags

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 !!

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11092
Followers: 511

Kudos [?]: 134 [0], given: 0

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

### Show Tags

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 Club Legend
Joined: 09 Sep 2013
Posts: 11092
Followers: 511

Kudos [?]: 134 [0], given: 0

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

### Show Tags

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.
_________________
Senior Manager
Joined: 20 Aug 2015
Posts: 398
Location: India
GMAT 1: 760 Q50 V44
Followers: 20

Kudos [?]: 165 [0], given: 10

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

### Show Tags

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

Re: What is the least possible product of 4 different integers   [#permalink] 10 Nov 2015, 03:38
Similar topics Replies Last post
Similar
Topics:
1 If n is an integer, then the least possible value of l31 - 4nl is 2 05 Jul 2016, 11:55
3 What is the least possible number of 0s(zeroes) at the end of integer 2 14 Jan 2016, 21:01
if a and b are the greatest and the least product of 4 distinct intege 2 11 Apr 2015, 14:35
2 If k^3 is divisible by 240 what is the least possible value of integer 6 26 Jun 2011, 05:07
6 If n is an integer, and 5^n > 4,000,000. What is the least possible 4 11 Jan 2010, 05:24
Display posts from previous: Sort by