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

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Senior Manager
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
If x, y and z are positive single-digit integers and x^y = z. What is  [#permalink]

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19 Sep 2017, 02:16
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55% (hard)

Question Stats:

48% (00:59) correct 52% (00:49) wrong based on 29 sessions

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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
Senior Manager
Joined: 17 Oct 2016
Posts: 325
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: If x, y and z are positive single-digit integers and x^y = z. What is  [#permalink]

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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

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Manager
Joined: 27 Dec 2016
Posts: 231
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
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Re: If x, y and z are positive single-digit integers and x^y = z. What is  [#permalink]

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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?
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Senior Manager
Joined: 17 Oct 2016
Posts: 325
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: If x, y and z are positive single-digit integers and x^y = z. What is  [#permalink]

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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.

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Senior Manager
Joined: 02 Jul 2017
Posts: 294
GMAT 1: 730 Q50 V38
Re: If x, y and z are positive single-digit integers and x^y = z. What is  [#permalink]

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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
Math Expert
Joined: 02 Aug 2009
Posts: 6274
Re: If x, y and z are positive single-digit integers and x^y = z. What is  [#permalink]

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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
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If x, y and z are positive single-digit integers and x^y = z. What is &nbs [#permalink] 19 Sep 2017, 04:12
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