GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2019, 12:46

### GMAT Club Daily Prep

#### 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

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

# If a and b are positive and ab/x = a, then x/b =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58427
If a and b are positive and ab/x = a, then x/b =  [#permalink]

### Show Tags

05 Feb 2019, 03:43
00:00

Difficulty:

35% (medium)

Question Stats:

75% (02:03) correct 25% (01:35) wrong based on 32 sessions

### HideShow timer Statistics

If a and b are positive and $$\frac{ab}{x} = \sqrt{a}$$, then $$\frac{x}{\sqrt{b}} =$$

A. $$\sqrt{a}$$

B. $$\sqrt{ab}$$

C. $$\sqrt{\frac{a}{b}}$$

D. $$\sqrt{\frac{b}{a}}$$

E. a^2

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5032
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If a and b are positive and ab/x = a, then x/b =  [#permalink]

### Show Tags

05 Feb 2019, 04:21
Bunuel wrote:
If a and b are positive and $$\frac{ab}{x} = \sqrt{a}$$, then $$\frac{x}{\sqrt{b}} =$$

A. $$\sqrt{a}$$

B. $$\sqrt{ab}$$

C. $$\sqrt{\frac{a}{b}}$$

D. $$\sqrt{\frac{b}{a}}$$

E. a^2

$$\frac{ab}{x} = \sqrt{a}$$,

sqrt a*b=x

so
$$\frac{x}{\sqrt{b}} =$$
sqrt a * b/ sqrt b = sqrt a*b
IMO B
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5032
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If a and b are positive and ab/x = a, then x/b =  [#permalink]

### Show Tags

07 Feb 2019, 09:58
Bunuel wrote:
If a and b are positive and $$\frac{ab}{x} = \sqrt{a}$$, then $$\frac{x}{\sqrt{b}} =$$

A. $$\sqrt{a}$$

B. $$\sqrt{ab}$$

C. $$\sqrt{\frac{a}{b}}$$

D. $$\sqrt{\frac{b}{a}}$$

E. a^2

Solution attached

Posted from my mobile device
Attachments

File comment: Solution

IMG_20190207_222558534.jpg [ 3.22 MiB | Viewed 418 times ]

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8129
Location: United States (CA)
Re: If a and b are positive and ab/x = a, then x/b =  [#permalink]

### Show Tags

10 Feb 2019, 08:37
Bunuel wrote:
If a and b are positive and $$\frac{ab}{x} = \sqrt{a}$$, then $$\frac{x}{\sqrt{b}} =$$

A. $$\sqrt{a}$$

B. $$\sqrt{ab}$$

C. $$\sqrt{\frac{a}{b}}$$

D. $$\sqrt{\frac{b}{a}}$$

E. a^2

Simplifying we have:

ab = x√a

a/√a = x/b

√a = x/b

Since b = √b * √b, we have:

√a = x/(√b *√b)

√a * √b = x/√b

√(ab) = x/√b

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If a and b are positive and ab/x = a, then x/b =   [#permalink] 10 Feb 2019, 08:37
Display posts from previous: Sort by