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

 It is currently 20 Jan 2019, 21:35

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• ### GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

# If -8＜x＜-6 and 2＜y＜3, which of the following could be the value

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6821
GMAT 1: 760 Q51 V42
GPA: 3.82
If -8＜x＜-6 and 2＜y＜3, which of the following could be the value  [#permalink]

### Show Tags

Updated on: 21 Jan 2018, 08:46
00:00

Difficulty:

55% (hard)

Question Stats:

82% (01:50) correct 18% (01:45) wrong based on 106 sessions

### HideShow timer Statistics

[GMAT math practice question]

If $$-8＜x＜-6$$ and $$2＜y＜3$$, which of the following could be the value of $$\sqrt{(-xy)}$$?

$$A. 3$$
$$B. 4$$
$$C. 5$$
$$D. 6$$
$$E. 7$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 19 Jan 2018, 00:22. Last edited by MathRevolution on 21 Jan 2018, 08:46, edited 2 times in total. Senior Manager Joined: 17 Oct 2016 Posts: 318 Location: India Concentration: Operations, Strategy GPA: 3.73 WE: Design (Real Estate) Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 19 Jan 2018, 00:38 IMO the answer has to be B. How is it C? can someone explain? _________________ Help with kudos if u found the post useful. Thanks Intern Joined: 19 Jan 2018 Posts: 4 Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 19 Jan 2018, 01:17 MathRevolution wrote: [GMAT math practice question] If $$-8＜x＜-6$$ and $$2＜y＜3$$, which of the following could be the value of $$\sqrt{(-xy)}]$$? $$A. 3$$ $$B. 4$$ $$C. 5$$ $$D. 6$$ $$E. 7$$ It’s B, is the answer wrong? Intern Joined: 06 Aug 2017 Posts: 22 Location: India GMAT 1: 660 Q47 V34 Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 19 Jan 2018, 07:14 How is it C? Considering maximum values of the ranges.. 8 and 3 8*3 = 24 how could the product be 25. 12 <(-xy) <24 Possible square could be 16, so the answer would be 4. (Option B) Intern Joined: 20 Aug 2017 Posts: 26 Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 19 Jan 2018, 23:26 The IMO should be B. Could someone please explain how it is C? Intern Joined: 05 Sep 2016 Posts: 29 Location: India Concentration: General Management, Operations WE: Engineering (Energy and Utilities) Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 19 Jan 2018, 23:43 Ans IMHO is B. X can assume values from -7.99 to -6.01 approx. Y can assume 2.01 to 2.99 approx. So, for simplicity lets take the ranges.. let X=-6,Y=2, so -XY=12. SQRT Greater than 3. Let X=-8,Y=3, so -XY=24. Sqrt less than 5. So, clearly 4 can be the only solution. Sent from my Moto G (4) using GMAT Club Forum mobile app Manager Status: Target 760 Joined: 20 Aug 2014 Posts: 50 Location: India Concentration: Strategy, Economics GMAT 1: 730 Q49 V40 GPA: 3.6 WE: Corporate Finance (Consulting) Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 20 Jan 2018, 09:11 -8*3 = -24*-1=24 How is the answer 25? Any one explan? Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6821 GMAT 1: 760 Q51 V42 GPA: 3.82 If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 21 Jan 2018, 17:41 => Multiplying -8 < x < -6 by -1 yields 6 < -x < 8. Since 2 < y < 3, it follows (by multiplication) that 12 < (-x)y < 24. Taking square roots (since all numbers are positive) yields √12 < √(-xy) < √24. Since 3 < √12 and 5 > √24, 4 is one possible value of √(-xy). Therefore, the answer is B. Answer : B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Director
Joined: 31 Oct 2013
Posts: 955
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If -8＜x＜-6 and 2＜y＜3, which of the following could be the value  [#permalink]

### Show Tags

16 Apr 2018, 04:33
MathRevolution wrote:
[GMAT math practice question]

If $$-8＜x＜-6$$ and $$2＜y＜3$$, which of the following could be the value of $$\sqrt{(-xy)}$$?

$$A. 3$$
$$B. 4$$
$$C. 5$$
$$D. 6$$
$$E. 7$$

First, we need to to find out the probable value of xy of which value we will put in the final equation.
for each inequality 4 values are possible.
1. -8*3=-24
2.-6*2=-12
3.-8*2=-16
4.-6*3=-18

note that in the all the answer choices are integer. Only 16 will provide us an integer value. Thus answer B is correct answer.
If -8＜x＜-6 and 2＜y＜3, which of the following could be the value &nbs [#permalink] 16 Apr 2018, 04:33
Display posts from previous: Sort by

# If -8＜x＜-6 and 2＜y＜3, which of the following could be the value

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.