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

It is currently 18 Oct 2019, 19:14

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Is x = 1?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
Is x = 1?  [#permalink]

Show Tags

New post 06 Feb 2015, 07:21
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (00:54) correct 26% (01:04) wrong based on 219 sessions

HideShow timer Statistics

Manager
Manager
User avatar
Joined: 14 Sep 2014
Posts: 106
Concentration: Technology, Finance
WE: Analyst (Other)
Re: Is x = 1?  [#permalink]

Show Tags

New post 06 Feb 2015, 07:29
1
(1) \(x = x^{3^0}\) Insufficient as \(3^0 = 1\) so \(x = x^1\)and x can be any value

(2) x^2 - 2x + 1 = 0 Sufficient as this factors into \((x-1)(x-1)=0\) so x must equal 1.

The answer is B.
Manager
Manager
User avatar
Joined: 04 Oct 2013
Posts: 160
Concentration: Finance, Leadership
GMAT 1: 590 Q40 V30
GMAT 2: 730 Q49 V40
WE: Project Management (Entertainment and Sports)
Re: Is x = 1?  [#permalink]

Show Tags

New post 06 Feb 2015, 08:08
Bunuel wrote:
Is x = 1?

(1) \(x = x^{3^0}\)

(2) x^2 - 2x + 1 = 0

Kudos for a correct solution.


statement 1 yields x=x which is an identity. The equation holds for any value.

statement 2: \((x-1)^2\)=0 and x=1

Answer B.
_________________
learn the rules of the game, then play better than anyone else.
Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 402
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: Is x = 1?  [#permalink]

Show Tags

New post 09 Feb 2015, 02:18
1
Yep I also agree.

[1] gives x=x, which can be anything. NS
[2] gives (x-1)(x-1)=0 --> x=1 or x=1. S
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
Re: Is x = 1?  [#permalink]

Show Tags

New post 09 Feb 2015, 05:55
Bunuel wrote:
Is x = 1?

(1) \(x = x^{3^0}\)

(2) x^2 - 2x + 1 = 0

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Be careful with statement (1): when the parentheses are around the first exponent, you must treat the first exponent as a base and raise it to the power of the second exponent. Thus x=x^3^0 can be simplified as x^1, so statement (1) says x = x; NOT SUFFICIENT. Statement (2) gives a quadratic in which b^2=4ac, so there is only one solution; SUFFICIENT, as whatever solution we get will definitively answer the question. (In case you’re curious, the quadratic solved does say that x = 1). (B)
_________________
Senior Manager
Senior Manager
User avatar
S
Joined: 08 Dec 2015
Posts: 285
GMAT 1: 600 Q44 V27
Reviews Badge
Is x = 1?  [#permalink]

Show Tags

New post 20 Dec 2016, 07:10
The way the question is right now, so no parenthesis, what operation do we do first? x^3^0 PEMDAS do we start with 3^0 ?

What if we had :

1) (x^3)^0

would we get X^(3*0) so X^0=1 ?

The official solution talks about parenthesis, but there aren't any in the statements. What if there are no parenthesis? What is the order?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13262
Re: Is x = 1?  [#permalink]

Show Tags

New post 21 Oct 2018, 02:37
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.
_________________
GMAT Club Bot
Re: Is x = 1?   [#permalink] 21 Oct 2018, 02:37
Display posts from previous: Sort by

Is x = 1?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne