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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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Updated on: 21 Jan 2018, 09:46
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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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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, 01:38
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, 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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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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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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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



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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, 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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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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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
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