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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
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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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New post Updated on: 21 Jan 2018, 09:46
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A
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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 \(\sqrt{(-xy)}\)?

\(A. 3\)
\(B. 4\)
\(C. 5\)
\(D. 6\)
\(E. 7\)

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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.
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Re: If -8<x<-6 and 2<y<3, which of the following could be the value  [#permalink]

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New post 19 Jan 2018, 01:38
IMO the answer has to be B.

How is it C? can someone explain?
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Re: If -8<x<-6 and 2<y<3, which of the following could be the value  [#permalink]

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New post 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?
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Re: If -8<x<-6 and 2<y<3, which of the following could be the value  [#permalink]

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New post 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)
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Re: If -8<x<-6 and 2<y<3, which of the following could be the value  [#permalink]

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New post 20 Jan 2018, 00:26
The IMO should be B. Could someone please explain how it is C?
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Re: If -8<x<-6 and 2<y<3, which of the following could be the value  [#permalink]

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New post 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.

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Re: If -8<x<-6 and 2<y<3, which of the following could be the value  [#permalink]

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New post 20 Jan 2018, 10:11
-8*3 = -24*-1=24

How is the answer 25? Any one explan?
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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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New post 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
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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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New post 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 &nbs [#permalink] 16 Apr 2018, 05:33
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