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If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the
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chetan2u
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If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the [#permalink] New post  26 Jan 2021, 03:20
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If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the max possible value for ab?

A. -32
B. -16
C. -12
D. 0
E. 8
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GMATinsight
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Re: If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the [#permalink] New post  26 Jan 2021, 03:24
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chetan2u wrote:
If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the max possible value for ab?

A. -32
B. -16
C. -12
D. 0
E. 8



-5 ≤ a ≤ 1 and 5 ≤ b ≤ 8

i.e. a may be one of {-4, -2, 0} and
i.e. b may be one of {6, 8}

for Maximum possible value of ab
1) We must try to make it positive if possible
But in this case since a is negative and b is positive therefore a*b bcan NOT be positive

2) Absolute values must be kept as big as possible

Here since a*b can NOT be positive therefore the maximum value of a*b will be when a is chosen as 0 for any chosen value of b such that

\((a*b)_{max} = 0*b = 0\)

Answer: Option D
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Re: If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the [#permalink] New post  26 Jan 2021, 05:32
Answer E
a=1 b=8
ab=1*8=8
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Re: If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the [#permalink] New post  26 Jan 2021, 05:50
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bond001 wrote:
Answer E
a=1 b=8
ab=1*8=8


bond001

Question clearly states that a and b are even so you can not take a=1
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Re: If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the [#permalink] New post  26 Jan 2021, 12:35
If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the max possible value for ab?

As a and b both are even, so (ab)max= 0*8 = 0

So, I think D. :)
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Re: If -5 ≤ a ≤ 1 and 5 ≤ b ≤ 8, where a and b are even, then what is the [#permalink] New post  26 Jan 2021, 21:58
GMATinsight wrote:
bond001 wrote:
Answer E
a=1 b=8
ab=1*8=8


bond001

Question clearly states that a and b are even so you can not take a=1

i missed that part :thumbsup:
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