It is currently 23 Nov 2017, 10:12

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If x, y and z are positive single-digit integers and x^y = z. What is

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 02 Jul 2017
Posts: 269

Kudos [?]: 85 [0], given: 65

GMAT 1: 730 Q50 V38
If x, y and z are positive single-digit integers and x^y = z. What is [#permalink]

### Show Tags

19 Sep 2017, 02:16
00:00

Difficulty:

55% (hard)

Question Stats:

44% (00:55) correct 56% (00:47) wrong based on 25 sessions

### HideShow timer Statistics

If x, y and z are positive single-digit integers and $$x^y = z$$. What is z?

(1) x and y even numbers
(2) x = y
[Reveal] Spoiler: OA

Kudos [?]: 85 [0], given: 65

Manager
Joined: 17 Oct 2016
Posts: 90

Kudos [?]: 21 [0], given: 72

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
Re: If x, y and z are positive single-digit integers and x^y = z. What is [#permalink]

### Show Tags

19 Sep 2017, 02:20
Option D

Based on statement 1 we can deduce x and y are 2.
Based on statement 2 we can conclude x and y are 2

Sent from my iPhone using GMAT Club Forum
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 21 [0], given: 72

Manager
Joined: 27 Dec 2016
Posts: 177

Kudos [?]: 47 [0], given: 206

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
Re: If x, y and z are positive single-digit integers and x^y = z. What is [#permalink]

### Show Tags

19 Sep 2017, 02:52
Nikkb wrote:
If x, y and z are positive single-digit integers and $$x^y = z$$ . What is z?

(1) x and y even numbers
(2) x = y

Nikkb , I chose C because I thought that statement A is not sufficient,

$$Z$$ can be 1 if $$x=4$$ and $$y=0$$
$$Z$$ can be 4 if $$x=2$$ and $$y=2$$.

Wdyt?

This one exploits our knowledge about an even and positive number. Is 0 positive even integer?
_________________

There's an app for that - Steve Jobs.

Kudos [?]: 47 [0], given: 206

Manager
Joined: 17 Oct 2016
Posts: 90

Kudos [?]: 21 [0], given: 72

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
Re: If x, y and z are positive single-digit integers and x^y = z. What is [#permalink]

### Show Tags

19 Sep 2017, 02:56
septwibowo wrote:
Nikkb wrote:
If x, y and z are positive single-digit integers and $$x^y = z$$ . What is z?

(1) x and y even numbers
(2) x = y

Nikkb , I chose C because I thought that statement A is not sufficient,

$$Z$$ can be 1 if $$x=4$$ and $$y=0$$
$$Z$$ can be 4 if $$x=2$$ and $$y=2$$.

Wdyt?

This one exploits our knowledge about an even and positive number. Is 0 positive even integer?

−3 < −2 < −1 < 0 < 1 < 2 < 3 < … An integer is positive if it is greater than zero and negative if it is less than zero. Zero is defined as neither negative nor positive.

Sent from my iPhone using GMAT Club Forum mobile app
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 21 [0], given: 72

Senior Manager
Joined: 02 Jul 2017
Posts: 269

Kudos [?]: 85 [0], given: 65

GMAT 1: 730 Q50 V38
Re: If x, y and z are positive single-digit integers and x^y = z. What is [#permalink]

### Show Tags

19 Sep 2017, 03:58
septwibowo wrote:
Nikkb wrote:
If x, y and z are positive single-digit integers and $$x^y = z$$ . What is z?

(1) x and y even numbers
(2) x = y

Nikkb , I chose C because I thought that statement A is not sufficient,

$$Z$$ can be 1 if $$x=4$$ and $$y=0$$
$$Z$$ can be 4 if $$x=2$$ and $$y=2$$.

Wdyt?

This one exploits our knowledge about an even and positive number. Is 0 positive even integer?

Generally below 4 terms are used in question stem:

Positive number x => $$x>0$$ =>All Numbers more than 0 but not equal to 0
Non-Negative number x => $$x\geq{0}$$ =>All Numbers above 0 or equal to 0.
Negative number x => $$x<0$$ =>All Numbers less than 0 but not equal to 0
Non-Positive number x => $$x\leq{0}$$ =>All Numbers less than 0 or equal to 0.

even integers : ... -4,-2,0,2,4, ......
odd integers : ... -3,-1,1,3,......

So 0 is considered even integer but its neither positive nor negative.

Above question talks about "positive single digit integer" => Integers can be 1,2,3...,9 ... Value of integer cannot be equal to 0 here.

Hope this helps

Kudos [?]: 85 [0], given: 65

Math Expert
Joined: 02 Aug 2009
Posts: 5234

Kudos [?]: 5888 [0], given: 118

Re: If x, y and z are positive single-digit integers and x^y = z. What is [#permalink]

### Show Tags

19 Sep 2017, 04:12
Nikkb wrote:
If x, y and z are positive single-digit integers and $$x^y = z$$. What is z?

(1) x and y even numbers
(2) x = y

Hi...

x,y, and z are +ive single digits..

Let's see the statements
1) X and y are even numbers..
$$x^y=z$$..
So X and y can take values 2,4,6 or 8..
But z will be single digit when X and y are 2 each..
So z=2^2=4
Sufficient

2) x=y
Following possibilities..
$$1^2, 2^1, 2^2, 2^3, 3^1, 3^2,...$$
So z can be anything from 1 to 9
Insufficient

A
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5888 [0], given: 118

Re: If x, y and z are positive single-digit integers and x^y = z. What is   [#permalink] 19 Sep 2017, 04:12
Display posts from previous: Sort by

# If x, y and z are positive single-digit integers and x^y = z. What is

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.