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If a, b, c and d are different integers between -6 and 10 inclusive

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If a, b, c and d are different integers between -6 and 10 inclusive  [#permalink]

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New post 21 Aug 2018, 06:38
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A
B
C
D
E

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  25% (medium)

Question Stats:

77% (00:51) correct 23% (01:26) wrong based on 31 sessions

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If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320

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Re: If a, b, c and d are different integers between -6 and 10 inclusive  [#permalink]

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New post 21 Aug 2018, 06:44
For the product to be least, we'll select the least possible value for any of the integers as -6 and the rest 3 as maximum values such as 8,9,10.
product abcd will be -6*8*9*10 = -4320.

E is the answer.
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Re: If a, b, c and d are different integers between -6 and 10 inclusive  [#permalink]

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New post 21 Aug 2018, 06:48
Bunuel wrote:
If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320


When we multiply four different integers and need to find the least possible value, we will need
four numbers(with the highest magnitude) - 3 positive integers and 1 negative integer(in this case)

Therefore, the least possible value of the product abcd is (-6)(10)(9)(8) = -60*72 = [fraction]-4320(Option E)[/fraction]
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Re: If a, b, c and d are different integers between -6 and 10 inclusive  [#permalink]

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New post 21 Aug 2018, 06:50
all are different then max is 10*9*8*-6= -4320

OA= E
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Re: If a, b, c and d are different integers between -6 and 10 inclusive  [#permalink]

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New post 21 Aug 2018, 06:50
Bunuel wrote:
If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320


3 largest positive * smallest -ve
10*9*8 *-6= -4320
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Re: If a, b, c and d are different integers between -6 and 10 inclusive  [#permalink]

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New post 21 Aug 2018, 07:21
Bunuel wrote:
If a, b, c and d are different integers between -6 and 10 inclusive, what is the least possible value of the product abcd?

A. -480
B. -720
C. -1200
D. -3600
E. -4320


Minimizing the product of abcd = Maximizing the Product of 2 numbers out of 4 numbers....

\(abcd = -6*10*9*8\)

So, The value of \(abcd = -4320\), Answer must be (E)
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Re: If a, b, c and d are different integers between -6 and 10 inclusive &nbs [#permalink] 21 Aug 2018, 07:21
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