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

 It is currently 20 Apr 2019, 21:24

### 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 xy is not equal to 0, then which of the following is the equivalent

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 54376
If xy is not equal to 0, then which of the following is the equivalent  [#permalink]

### Show Tags

05 Sep 2017, 00:46
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:06) correct 31% (02:17) wrong based on 134 sessions

### HideShow timer Statistics

If xy is not equal to 0, then which of the following, is the equivalent of $$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$?

A. $$x^6y^2(x + 1)$$

B. $$x^4y^4(x + 1)$$

C. $$2x^4y^4$$

D. $$2x^5y^3$$

E. $$2x^6y^2$$

_________________
Intern
Joined: 09 Feb 2013
Posts: 24
Re: If xy is not equal to 0, then which of the following is the equivalent  [#permalink]

### Show Tags

05 Sep 2017, 01:46
Bunuel wrote:
If xy is not equal to 0, then which of the following, is the equivalent of $$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$?

A. $$x^6y^2(x + 1)$$

B. $$x^4y^4(x + 1)$$

C. $$2x^4y^4$$

D. $$2x^5y^3$$

E. $$2x^6y^2$$

X^5y^3 + x^5y^3 / (y/x)

= x^5y^2(x+1) *x/y
= x^6y^2(x+1)

A should be correct.

Regards
Kshitij
Director
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: If xy is not equal to 0, then which of the following is the equivalent  [#permalink]

### Show Tags

05 Sep 2017, 08:05
Bunuel wrote:
If xy is not equal to 0, then which of the following, is the equivalent of $$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$?

A. $$x^6y^2(x + 1)$$

B. $$x^4y^4(x + 1)$$

C. $$2x^4y^4$$

D. $$2x^5y^3$$

E. $$2x^6y^2$$

$$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$

$$\frac{x^6y^3+x^5y^3}{(\frac{y}{x})}$$

$$\frac{x^5y^3(x +1)}{(\frac{y}{x})}$$

$$(x*y^{-1})x^5y^3(x +1)$$

$$x^6y^2(x +1)$$

Senior SC Moderator
Joined: 22 May 2016
Posts: 2643
If xy is not equal to 0, then which of the following is the equivalent  [#permalink]

### Show Tags

06 Sep 2017, 13:42
Bunuel wrote:
If xy is not equal to 0, then which of the following, is the equivalent of $$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$?

A. $$x^6y^2(x + 1)$$

B. $$x^4y^4(x + 1)$$

C. $$2x^4y^4$$

D. $$2x^5y^3$$

E. $$2x^6y^2$$

It took me a long time to figure out that the denominator is $$(\frac{x}{y})^{-1}$$, not $$(\frac{x}{y}) - 1$$

$$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$ =

$$\frac{x^6y^3+x^5y^3}{(\frac{y}{x})}$$ =

$$(\frac{x}{y}) * (x^5y^3)(x + 1)$$ =

$$(x^1y^{-1}) * (x^5y^3)(x + 1)$$=

$$x^{(1+5)}y^{(-1+3)} * (x + 1)$$

$$x^6y^2(x + 1)$$

_________________
Listen, are you breathing just a little, and calling it a life?
-- Mary Oliver

For practice SC questions with official explanations that were posted and moderated by the SC Team,
go to SC Butler here: https://gmatclub.com/forum/project-sc-butler-get-2-sc-questions-everyday-281043.html
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5807
Location: United States (CA)
Re: If xy is not equal to 0, then which of the following is the equivalent  [#permalink]

### Show Tags

07 Sep 2017, 16:41
Bunuel wrote:
If xy is not equal to 0, then which of the following, is the equivalent of $$\frac{(x^2y)^3+x^5y^3}{(\frac{x}{y})^{-1}}$$?

A. $$x^6y^2(x + 1)$$

B. $$x^4y^4(x + 1)$$

C. $$2x^4y^4$$

D. $$2x^5y^3$$

E. $$2x^6y^2$$

Let’s first simplify the numerator of the given expression:

(x^6)(y^3) + (x^5)(y^3)

(x^5)(y^3)(x + 1)

Simplifying the denominator, we have: (x/y)^-1 = y/x

Now we have:

(x^5)(y^3)(x + 1)/(y/x) = (x^5)(y^3)(x + 1)*(x/y) = (x^6)(y^2)(x + 1)

_________________

# 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

Re: If xy is not equal to 0, then which of the following is the equivalent   [#permalink] 07 Sep 2017, 16:41
Display posts from previous: Sort by