Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
A positive number x is multiplied by 2, and this product is [#permalink]
Show Tags
20 Dec 2012, 06:04
2
8
00:00
A
B
C
D
E
Difficulty:
5% (low)
Question Stats:
78% (01:04) correct 22% (01:19) wrong based on 1075 sessions
HideShow timer Statistics
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Re: A positive number x is multiplied by 2, and this product is [#permalink]
Show Tags
20 Dec 2012, 06:07
2
1
Walkabout wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
(A) 9/4 (B) 3/2 (C) 4/3 (D) 2/3 (E) 1/2
Given that: \(\sqrt{\frac{2x}{3}}=x\) --> \(\frac{2x}{3}=x^2\) --> \(x(3x-2)=0\) --> \(x=0\) (dscard since we are told that x is a positive number) or \(x=\frac{2}{3}\).
Re: A positive number x is multiplied by 2, and this product is [#permalink]
Show Tags
17 Jul 2014, 00:25
1
Walkabout wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
Re: A positive number x is multiplied by 2, and this product is [#permalink]
Show Tags
23 Jun 2016, 09:37
1
1
Walkabout wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
(A) 9/4 (B) 3/2 (C) 4/3 (D) 2/3 (E) 1/2
We need to produce an equation from the information given in the problem stem. We are first given that x is multiplied by 2 and then the product is divided by 3. This gives us:
2x/3
Next we are given that the positive square root of the result (which is 2x/3) is equal to x. This gives us
√(2x/3) = x
2x/3 = x^2
2x = 3x^2
3x^2 – 2x = 0
x(3x – 2) = 0
x = 0 or
3x – 2 = 0
3x = 2
x = 2/3
Because x is positive, x = 2/3. The answer is D.
_________________
Jeffery Miller Head of GMAT Instruction
GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions
Re: A positive number x is multiplied by 2, and this product is [#permalink]
Show Tags
28 Aug 2017, 14:52
Top Contributor
Walkabout wrote:
A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
(A) 9/4 (B) 3/2 (C) 4/3 (D) 2/3 (E) 1/2
A positive number x is multiplied by 2... We get: 2x
...and this product is then divided by 3 We get: 2x/3
If the positive square root of the result of these two operations equals x... We get: √(2x/3) = x
From here, we can EITHER solve this equation for x, OR we can plug in the answer choices until we find a value that satisfies the equation.
Let's SOLVE the equation: √(2x/3) = x Square both sides to get: 2x/3 = x² Multiply both sides by 3 to get: 2x = 3x² Subtract 2x from both sides to get: 0 = 3x² - 2x Factor the right side: 0 = x(3x - 2)
So, EITHER x = 0 OR (3x - 2) = 0 Since we're told that x is a positive number, we can rule out the possibility that x = 0 So, it must be the case that (3x - 2) = 0 Add 2 to both sides to get: 3x = 2 Solve: x = 2/3
close
78% (01:04) correct 
