GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 22 Jan 2020, 20:17

### 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 0 < x < 7 and y < 9, then the lowest possible value for xy is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60605
If 0 < x < 7 and y < 9, then the lowest possible value for xy is  [#permalink]

### Show Tags

29 Mar 2016, 02:55
00:00

Difficulty:

15% (low)

Question Stats:

75% (01:02) correct 25% (01:04) wrong based on 153 sessions

### HideShow timer Statistics

If 0 < x < 7 and y < 9, then the lowest possible value for xy is

A. between 60 and 70
B. between 0 and 60
C. 0
D. between 0 and -70
E. less than -70

_________________
Manager
Joined: 18 Sep 2014
Posts: 223
Re: If 0 < x < 7 and y < 9, then the lowest possible value for xy is  [#permalink]

### Show Tags

29 Mar 2016, 04:23
1
If 0 < x < 7 and y < 9, then the lowest possible value for xy is

A. between 60 and 70
B. between 0 and 60
C. 0
D. between 0 and -70
E. less than -70

Say y = -100 (y<9)
x = 6
So xy =-600 which is less than -70. Answer is E.
Director
Joined: 05 Mar 2015
Posts: 966
Re: If 0 < x < 7 and y < 9, then the lowest possible value for xy is  [#permalink]

### Show Tags

29 Mar 2016, 11:07
1
Bunuel wrote:
If 0 < x < 7 and y < 9, then the lowest possible value for xy is

A. between 60 and 70
B. between 0 and 60
C. 0
D. between 0 and -70
E. less than -70

minimum possible value comes when one varible is +ve and another is -ve
Here a range for x is defined and minimum value for x could be 0.0000...1
and no range is defined for Y ..so Y could be any -ve value.say Y=-1000000......0
Making the best ans choice which is the most -ve.
Ans E.
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4862
Location: India
GPA: 3.5
Re: If 0 < x < 7 and y < 9, then the lowest possible value for xy is  [#permalink]

### Show Tags

28 May 2017, 00:26
Bunuel wrote:
If 0 < x < 7 and y < 9, then the lowest possible value for xy is

A. between 60 and 70
B. between 0 and 60
C. 0
D. between 0 and -70
E. less than -70

0 < x < 7 , here the minimum value of x will be 1

y < 9 , minimum value will be any extreme number to the left (In the number line ) of 9 , which includes 0 and -ve numbers...

$$+ve * -ve = -ve number$$

So, the minimum value of xy will be a -ve integer...

Thus, the correct answer will be (E) less than -70
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15958
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If 0 < x < 7 and y < 9, then the lowest possible value for xy is  [#permalink]

### Show Tags

10 Dec 2019, 13:34
Hi All,

We're told that 0 < X < 9 and Y < 9. We're asked for the SMALLEST possible value of (X)(Y). This question is ultimately about Number Properties, so we can answer it in a number of different ways - including by TESTing VALUES or logic.

We know that X must be POSITIVE and Y can be positive (but less than 9), 0 or ANY negative. To make the product (X)(Y) as SMALL as possible, Y would have to be AS NEGATIVE AS POSSIBLE. Multiplying that type of extreme negative value by any positive value would lead to another extreme negative value (re: negative infinity).

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Re: If 0 < x < 7 and y < 9, then the lowest possible value for xy is   [#permalink] 10 Dec 2019, 13:34
Display posts from previous: Sort by