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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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19 Jan 2018, 00:22
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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 $$\sqrt{(-xy)}$$?

$$A. 3$$
$$B. 4$$
$$C. 5$$
$$D. 6$$
$$E. 7$$
[Reveal] Spoiler: OA

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Last edited by MathRevolution on 21 Jan 2018, 08:46, 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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19 Jan 2018, 00:38
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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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?
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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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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)
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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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19 Jan 2018, 23:26
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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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.

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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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20 Jan 2018, 09:11
-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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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).

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If -8＜x＜-6 and 2＜y＜3, which of the following could be the value   [#permalink] 21 Jan 2018, 17:41
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