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If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin

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Bunuel
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If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink] New post   07 Jan 2017, 03:48
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If \(5 ≥ a ≥ −1\), \(−2 ≥ b ≥ −5\), and \(0 ≥ c ≥ −4\), then which of the following expresses the greatest possible value of abc?

A. 0
B. 4
C. 24
D. 48
E. 100
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E
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adityamakwana_rocks_you@yahoo.com
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Re: If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink] New post   07 Jan 2017, 05:32
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a=5
b=-5
c=-4
a*b*C=100
E
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Re: If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink] New post   29 Mar 2017, 03:43
Bunuel wrote:
If \(5 ≥ a ≥ −1\), \(−2 ≥ b ≥ −5\), and \(0 ≥ c ≥ −4\), then which of the following expresses the greatest possible value of abc?

A. 0
B. 4
C. 24
D. 48
E. 100



Hi Bunuel,

I couldn't seem to get the right answer for this question? I was hoping maybe you could give me a detailed and a quick approach to solving such questions?
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Bunuel
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Re: If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink] New post   29 Mar 2017, 03:57
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AbhishekGopal wrote:
Bunuel wrote:
If \(5 ≥ a ≥ −1\), \(−2 ≥ b ≥ −5\), and \(0 ≥ c ≥ −4\), then which of the following expresses the greatest possible value of abc?

A. 0
B. 4
C. 24
D. 48
E. 100



Hi Bunuel,

I couldn't seem to get the right answer for this question? I was hoping maybe you could give me a detailed and a quick approach to solving such questions?


b and c cannot be positive, thus bc ≥ 0. So, to maximise bc, choose maximum absolute value for each. b = -5 and c = -4. Now, choose maximum positive value of a to get positive product: a = 5.

abc = 5*(-5)*(-4) = 100.

Answer: E.
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Re: If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink] New post   31 Mar 2017, 12:44
Expert Reply
Bunuel wrote:
If \(5 ≥ a ≥ −1\), \(−2 ≥ b ≥ −5\), and \(0 ≥ c ≥ −4\), then which of the following expresses the greatest possible value of abc?

A. 0
B. 4
C. 24
D. 48
E. 100


We are given that 5 ≥ a ≥ -1, -2 ≥ b ≥ -5, and that 0 ≥ c ≥ -4.

To determine the largest value of abc, we need to find the largest possible positive product, which could be obtained by either multiplying together two negative numbers and one positive or multiplying together 3 positive numbers. However, since b cannot be positive, we will multiply together two negatives and one positive.

Thus, the largest value of abc is 5 x -4 x -5 = 100.

Answer: E
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Re: If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink] New post   14 Apr 2021, 05:17
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Re: If 5 ≥ a ≥ −1, −2 ≥ b ≥ −5, and 0 ≥ c ≥ −4, then which of the followin [#permalink]
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