GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 30 May 2020, 05:20

### 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 x, y, z are positive integers and x<y<z, which of the following mus

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 9006
GMAT 1: 760 Q51 V42
GPA: 3.82
If x, y, z are positive integers and x<y<z, which of the following mus  [#permalink]

### Show Tags

08 Aug 2018, 01:12
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:27) correct 14% (02:10) wrong based on 59 sessions

### HideShow timer Statistics

[Math Revolution GMAT math practice question]

If $$x, y, z$$ are positive integers and $$x<y<z$$, which of the following must be greater than $$(z^x)(z^y)$$?

$$A. y^{2z}$$
$$B. y^{2y}$$
$$C. x^{2y}$$
$$D. x^{zx}$$
$$E. z^{2y}$$

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only 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 Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" VP Joined: 31 Oct 2013 Posts: 1489 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) If x, y, z are positive integers and x<y<z, which of the following mus [#permalink] ### Show Tags 08 Aug 2018, 01:20 MathRevolution wrote: [Math Revolution GMAT math practice question] If $$x, y, z$$ are positive integers and $$x<y<z$$, which of the following must be greater than $$(z^x)(z^y)$$? $$A. y^{2z}$$ $$B. y^{2y}$$ $$C. x^{2y}$$ $$D. x^{zx}$$ $$E. z^{2y}$$ Note : x, y, z are positive integers. x<y<z. plug value for z, y, z. x = 2 y = 3 z=4. Given $$(z^x)(z^y)$$ =$$z^{(x+y)}$$ = $$4^{(3+2)}$$ = $$4^{5}$$ = $$2^{10}$$ we need to find an option which will provide a value greater than $$2^{10}$$ As we have z its base, we also start with option having base z. Option E) $$z^{2y}$$ = $$4^{(2*3)}$$ =$$2^{12}$$ The best answer is E. Manager Joined: 19 Nov 2017 Posts: 246 Location: India Schools: ISB GMAT 1: 670 Q49 V32 GPA: 4 Re: If x, y, z are positive integers and x<y<z, which of the following mus [#permalink] ### Show Tags 08 Aug 2018, 01:30 2 MathRevolution wrote: [Math Revolution GMAT math practice question] If $$x, y, z$$ are positive integers and $$x<y<z$$, which of the following must be greater than $$(z^x)(z^y)$$? $$A. y^{2z}$$ $$B. y^{2y}$$ $$C. x^{2y}$$ $$D. x^{zx}$$ $$E. z^{2y}$$ $$(z^x)(z^y)$$ can also be written as $$z^{x+y}$$ My first choice would be option E as it is the only one with base as Z. E. $$z^{2y}$$ as x<y<z x+y<y+y x+y<2y Therefore $$z^{x+y}$$ < $$z^{2y}$$ _________________ Vaibhav Sky is the limit. 800 is the limit. ~GMAC Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 9006 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If x, y, z are positive integers and x<y<z, which of the following mus [#permalink] ### Show Tags 10 Aug 2018, 01:34 => Since $$z^x < z^y,$$ we have $$(z^x)(z^y)< (z^y)(z^y) = z^{2y}$$. Therefore, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only 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 Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Non-Human User
Joined: 09 Sep 2013
Posts: 15022
Re: If x, y, z are positive integers and x<y<z, which of the following mus  [#permalink]

### Show Tags

15 Mar 2020, 06:06
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If x, y, z are positive integers and x<y<z, which of the following mus   [#permalink] 15 Mar 2020, 06:06