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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8025
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]

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Updated on: 21 Jan 2018, 09:46
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Difficulty:

55% (hard)

Question Stats:

82% (01:50) correct 18% (01:44) wrong based on 111 sessions

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[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 $79 for 1 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, 01:22. Last edited by MathRevolution on 21 Jan 2018, 09:46, edited 2 times in total. Senior Manager Joined: 17 Oct 2016 Posts: 313 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, 01:38 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: 3 Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 19 Jan 2018, 02:17 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, 08:14 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: 27 Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 20 Jan 2018, 00:26 The IMO should be B. Could someone please explain how it is C? Intern Joined: 05 Sep 2016 Posts: 28 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 20 Jan 2018, 00:43 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 Intern Status: Target 760 Joined: 20 Aug 2014 Posts: 49 Location: India Concentration: Strategy, Economics GMAT 1: 730 Q49 V40 GPA: 3.6 WE: Corporate Finance (Commercial Banking) Re: If -8＜x＜-6 and 2＜y＜3, which of the following could be the value [#permalink] ### Show Tags 20 Jan 2018, 10:11 -8*3 = -24*-1=24 How is the answer 25? Any one explan? Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8025 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, 18:41 => 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$79 for 1 month Online Course"
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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
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If -8＜x＜-6 and 2＜y＜3, which of the following could be the value  [#permalink]

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16 Apr 2018, 05:33
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   [#permalink] 16 Apr 2018, 05:33
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