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If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the

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If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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New post 04 Mar 2019, 23:54
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A
B
C
D
E

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  25% (medium)

Question Stats:

68% (00:50) correct 32% (00:46) wrong based on 53 sessions

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Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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New post 05 Mar 2019, 00:00
Bunuel wrote:
If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the possible values of ab ?

A. −60 ≤ ab ≤ 120
B. −60 ≤ ab ≤ −18
C. −18 ≤ ab ≤ 36
D. −18 ≤ ab ≤ 120
E. 36 ≤ ab ≤ 120



Given,

−6 ≤ a ≤ 12
3 ≤ b ≤ 10

Multiply the extreme values:

-6 * 3 = -18

3 * 12 = 36

-6 * 10 = -60

12*10 = 120.

-60≤ab≤120.

A is the correct answer.
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Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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New post 05 Mar 2019, 08:54
Bunuel wrote:
If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the possible values of ab ?

A. −60 ≤ ab ≤ 120
B. −60 ≤ ab ≤ −18
C. −18 ≤ ab ≤ 36
D. −18 ≤ ab ≤ 120
E. 36 ≤ ab ≤ 120


ab values we get
-18, -60,36 & 120

max range of ab
−60 ≤ ab ≤ 120
IMO A
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Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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New post 07 Mar 2019, 07:58
Bunuel wrote:
If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the possible values of ab ?

A. −60 ≤ ab ≤ 120
B. −60 ≤ ab ≤ −18
C. −18 ≤ ab ≤ 36
D. −18 ≤ ab ≤ 120
E. 36 ≤ ab ≤ 120


The largest value of ab is obtained by multiplying the greatest possible positive value of a by the greatest possible positive value of b: 12 x 10 = 120

The smallest value of ab is obtained by multiplying the most negative value of a by the greatest positive value of b: -6 x 10 = -60.

Thus, −60 ≤ ab ≤ 120.

Answer: A
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Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the   [#permalink] 07 Mar 2019, 07:58
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