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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the

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Math Expert V
Joined: 02 Sep 2009
Posts: 58339
If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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Difficulty:   25% (medium)

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

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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

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VP  D
Joined: 31 Oct 2013
Posts: 1474
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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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.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4986
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

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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
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)
Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

Show Tags

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.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. 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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If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the

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