Author 
Message 
TAGS:

Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8159
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, 09:46
Question Stats:
82% (01:50) correct 18% (01:44) wrong based on 111 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 \(\sqrt{(xy)}\)? \(A. 3\) \(B. 4\) \(C. 5\) \(D. 6\) \(E. 7\)
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly 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 Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



Senior Manager
Joined: 17 Oct 2016
Posts: 305
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

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: 48
Location: India
Concentration: Strategy, Economics
Schools: Kellogg '21 (D), Kellogg 1YR '19, Booth '21 (D), Ross '21 (D), Stern '21 (S), Yale '21 (S), Darden '21 (S), Johnson '21 (S), LBS '21 (S), INSEAD Jan '19, Oxford"19, Cambridge"19, IMD '20 (S), IESE '21 (D)
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: 8159
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 spareThe oneandonly 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 Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"



VP
Joined: 31 Oct 2013
Posts: 1473
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, 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






