GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 Mar 2019, 23:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53832
If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

### Show Tags

04 Mar 2019, 23:54
00:00

Difficulty:

25% (medium)

Question Stats:

70% (00:56) correct 30% (00:44) wrong based on 27 sessions

### HideShow timer Statistics

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

_________________
VP
Joined: 31 Oct 2013
Posts: 1273
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]

### Show Tags

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.

SVP
Joined: 18 Aug 2017
Posts: 2497
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]

### Show Tags

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
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5443
Location: United States (CA)
Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the  [#permalink]

### Show Tags

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.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Re: If −6 ≤ a ≤ 12 and 3 ≤ b ≤ 10, which of the following represents the   [#permalink] 07 Mar 2019, 07:58
Display posts from previous: Sort by