What is the least possible product of 4 different integers, each of

Question

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

fluke · Accepted Answer

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"

subhashghosh · Answer

Maximize the total product with a -ve sign

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

Answer is B.

vivesomnium · Answer

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

Acer86 · Answer

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

bostonrb · Answer

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.

MHIKER · Answer

10*9*8*-5
= 90*-40
=-3600
Ans. B

Spidy001 · Answer

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.

LalaB · Answer

the OE is -

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

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

amit2k9 · Answer

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.

TeamGMATIFY · Answer

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

KanishkM · Answer

Lets start from the biggest least value, A

Only B satisfies, -5*5*8*9

the condition least possible product of 4 different integers

Champer21 · Answer

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)?

Bunuel · Answer

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?

Champer21 · Answer

Thank you very much, I missed it.

bumpbot · Answer

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What is the least possible product of 4 different integers, each of

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