Last visit was: 20 Jun 2024, 02:43 It is currently 20 Jun 2024, 02:43
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If x is a positive integer and w is a negative integer, what is the va

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93832
Own Kudos [?]: 633255 [42]
Given Kudos: 82387
Intern
Joined: 23 Apr 2018
Posts: 1
Own Kudos [?]: 6 [6]
Given Kudos: 17
GMAT 1: 760 Q50 V44
General Discussion
Manager
Joined: 11 Jun 2017
Status:In last prep stage
Posts: 116
Own Kudos [?]: 227 [0]
Given Kudos: 211
GMAT 1: 630 Q44 V33
GMAT 2: 680 Q47 V37
GPA: 3.2
Intern
Joined: 03 Sep 2018
Posts: 13
Own Kudos [?]: 12 [2]
Given Kudos: 32
WE:Analyst (Consulting)
Re: If x is a positive integer and w is a negative integer, what is the va [#permalink]
1
Kudos
1
Bookmarks
Bunuel wrote:
If x is a positive integer and w is a negative integer, what is the value of xw?

(1) x^w = 1/2
(2) w = -1

1) Let's assume w to be the smallest negative integer i.e -1, so for this condition to be true, x must be equal to 2, hence xw =-2.
This condition is SUFFICIENT as other than the above values of x and w, no other integer values satisfy the condition.

2) This gives no information about x, so NOT SUFFICIENT.

Posted from my mobile device
Manager
Joined: 19 Apr 2017
Posts: 81
Own Kudos [?]: 133 [4]
Given Kudos: 40
Concentration: General Management, Sustainability
Schools: ESSEC '22
GPA: 3.9
WE:Operations (Hospitality and Tourism)
Re: If x is a positive integer and w is a negative integer, what is the va [#permalink]
2
Kudos
2
Bookmarks
If x is a positive integer and w is a negative integer, what is the value of xw?

1) $$x^w = 1/2$$

x is a positive integer means x is a whole number (not a fractional number) that is positive.
W is a negative integer means x is a whole number (not a fractional number) that is negative

so
x has to be 2
w has to be -1

so xw=2*-1 = -2 hence sufficient

2) $$w = -1$$

Does not talk about x, so not sufficient
Current Student
Joined: 26 Oct 2018
Posts: 17
Own Kudos [?]: 87 [3]
Given Kudos: 114
Location: United States (VA)
Concentration: Strategy, Technology
GMAT 1: 730 Q48 V42
GMAT 2: 780 Q49 V51 (Online)
GPA: 3.26
WE:Consulting (Consulting)
If x is a positive integer and w is a negative integer, what is the va [#permalink]
2
Kudos
1
Bookmarks
(1) $$x^w = \frac{1}{2}= 2^-1, 4^\frac{-1}{2}, 8^\frac{-1}{3}...$$

However, w must be an integer. Therefore, w must be -1. Sufficient.

(2) $$w = -1$$

Tells us nothing about x. Insufficient.

Manager
Joined: 21 Aug 2021
Posts: 75
Own Kudos [?]: 33 [1]
Given Kudos: 51
Re: If x is a positive integer and w is a negative integer, what is the va [#permalink]
1
Kudos
TanayLohia wrote:
My OA= A
Statement 2= clearly Insufficient.

Statement one means there is only one value each of x and that satisfy the equation, vis-
x=2
And W=-1

Posted from my mobile device

NO
we can put X=1/4 and W=-1/2 as well .........no unique value
Intern
Joined: 30 Nov 2017
Posts: 3
Own Kudos [?]: 1 [0]
Given Kudos: 401
Re: If x is a positive integer and w is a negative integer, what is the va [#permalink]
NarayanaGupta007 wrote:
TanayLohia wrote:
My OA= A
Statement 2= clearly Insufficient.

Statement one means there is only one value each of x and that satisfy the equation, vis-
x=2
And W=-1

Posted from my mobile device

NO
we can put X=1/4 and W=-1/2 as well .........no unique value

EXACTLY. IF WE TAKE X=4 AND W = -2 ; WE GET 1/2; AND XY= -8; THEREFORE NOT UNIQUE SOLUTION. ONLY IF WE CONSIDER THE STATEMENT 2 TOGETHER WILL WE GET A UNIQUE SOLUTION.
Intern
Joined: 11 Jun 2022
Posts: 49
Own Kudos [?]: 13 [0]
Given Kudos: 31
GMAT 1: 660 Q48 V32
Re: If x is a positive integer and w is a negative integer, what is the va [#permalink]
NarayanaGupta007 wrote:
TanayLohia wrote:
My OA= A
Statement 2= clearly Insufficient.

Statement one means there is only one value each of x and that satisfy the equation, vis-
x=2
And W=-1

Posted from my mobile device

NO
we can put X=1/4 and W=-1/2 as well .........no unique value

EXACTLY. IF WE TAKE X=4 AND W = -2 ; WE GET 1/2; AND XY= -8; THEREFORE NOT UNIQUE SOLUTION. ONLY IF WE CONSIDER THE STATEMENT 2 TOGETHER WILL WE GET A UNIQUE SOLUTION.