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What is the least possible product of 4 different integers, each of
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16 Mar 2011, 11:29
16 Mar 2011, 11:29
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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
(A) –5040
(B) –3600
(C) –720
(D) –600
(E) –120
Re: What is the least possible product of 4 different integers, each of
[#permalink]
16 Mar 2011, 11:44
16 Mar 2011, 11:44
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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"
10*9*8*-5 = -3600
Ans: "B"
General Discussion
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Joined: 16 Nov 2010
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Location: United States (IN)
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Re: What is the least possible product of 4 different integers, each of
[#permalink]
17 Mar 2011, 02:16
17 Mar 2011, 02:16
1
Kudos
Maximize the total product with a -ve sign
so -5 * 10 * 9 * 8 = 720 * -5 = -3600
Answer is B.
_________________
so -5 * 10 * 9 * 8 = 720 * -5 = -3600
Answer is B.
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Re: What is the least possible product of 4 different integers, each of
[#permalink]
17 Mar 2011, 02:22
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
Re: What is the least possible product of 4 different integers, each of
[#permalink]
17 Mar 2011, 03:17
17 Mar 2011, 03:17
Can someone please explain as to why we did not choose -5040?
Re: What is the least possible product of 4 different integers, each of
[#permalink]
17 Mar 2011, 21:10
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
Joined: 14 Jul 2010
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Posts: 969
Re: What is the least possible product of 4 different integers, each of
[#permalink]
18 Mar 2011, 10:27
18 Mar 2011, 10:27
10*9*8*-5
= 90*-40
=-3600
Ans. B
= 90*-40
=-3600
Ans. B
Re: What is the least possible product of 4 different integers, each of
[#permalink]
18 Mar 2011, 17:44
18 Mar 2011, 17:44
2
Kudos
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.
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?
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Re: What is the least possible product of 4 different integers, each of
[#permalink]
07 Apr 2012, 22:21
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.
_________________
(-5)*10*9*8=-3600
P.S. I am sorry, but I doubt that ur questions are 700 level.
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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
I am still on all gmat forums. msg me if you want to ask me smth
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Re: What is the least possible product of 4 different integers, each of
[#permalink]
07 Apr 2012, 22:21
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.
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.
Re: What is the least possible product of 4 different integers, each of
[#permalink]
10 Nov 2015, 03:38
10 Nov 2015, 03:38
1
Kudos
Expert Reply
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
(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
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Posts: 782
Location: India
Re: What is the least possible product of 4 different integers, each of
[#permalink]
11 Feb 2019, 00:04
11 Feb 2019, 00:04
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
(A) –5040
(B) –3600
(C) –720
(D) –600
(E) –120
Lets start from the biggest least value, A
Only B satisfies, -5*5*8*9
the condition least possible product of 4 different integers
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Re: What is the least possible product of 4 different integers, each of
[#permalink]
19 Jan 2024, 12:14
19 Jan 2024, 12:14
None native-speaker here. When it says: each of which has a value between –5 and 10, inclusive?
Is it not possible to have 10*10*10*(-5)?
Is it not possible to have 10*10*10*(-5)?
Re: What is the least possible product of 4 different integers, each of
[#permalink]
19 Jan 2024, 12:30
19 Jan 2024, 12:30
1
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Expert Reply
Champer21 wrote:
None native-speaker here. When it says: each of which has a value between –5 and 10, inclusive?
Is it not possible to have 10*10*10*(-5)?
Is it not possible to have 10*10*10*(-5)?
Pay attention to the highlighted word:
What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?
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Re: What is the least possible product of 4 different integers, each of
[#permalink]
20 Jan 2024, 06:26
20 Jan 2024, 06:26
Bunuel wrote:
Champer21 wrote:
None native-speaker here. When it says: each of which has a value between –5 and 10, inclusive?
Is it not possible to have 10*10*10*(-5)?
Is it not possible to have 10*10*10*(-5)?
Pay attention to the highlighted word:
What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?
Thank you very much, I missed it.
gmatclubot
Re: What is the least possible product of 4 different integers, each of [#permalink]
20 Jan 2024, 06:26
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