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

It is currently 02 Jun 2020, 07:53

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

If 2^199 + 2^199 = 2^x, what is the value of x?

  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: 64173
If 2^199 + 2^199 = 2^x, what is the value of x?  [#permalink]

Show Tags

New post 31 Jul 2019, 02:02
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:28) correct 3% (01:50) wrong based on 73 sessions

HideShow timer Statistics

Director
Director
avatar
D
Joined: 25 Jul 2018
Posts: 717
If 2^199 + 2^199 = 2^x, what is the value of x?  [#permalink]

Show Tags

New post Updated on: 31 Jul 2019, 02:11
\(2^{199}\)+\(2^{199}\)=\(2^x\)
\(2*2^{199}\)=\(2^{200}\)=\(2^x\)
--> x=200

The answer choice is B

Originally posted by lacktutor on 31 Jul 2019, 02:06.
Last edited by lacktutor on 31 Jul 2019, 02:11, edited 2 times in total.
CEO
CEO
User avatar
V
Joined: 03 Jun 2019
Posts: 2923
Location: India
GMAT 1: 690 Q50 V34
WE: Engineering (Transportation)
Premium Member Reviews Badge CAT Tests
If 2^199 + 2^199 = 2^x, what is the value of x?  [#permalink]

Show Tags

New post 31 Jul 2019, 02:09
Bunuel wrote:
If \(2^{199} + 2^{199} = 2^x\), what is the value of x?

A. 199
B. 200
C. 201
D. 202
E. 203


\(2^{199} + 2^{199} = 2^x\)
\(2*2^{199} = 2^{200} = 2^x\)
x= 200

IMO B
_________________
Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
Manager
Manager
avatar
S
Joined: 23 Apr 2018
Posts: 160
Reviews Badge
Re: If 2^199 + 2^199 = 2^x, what is the value of x?  [#permalink]

Show Tags

New post 31 Jul 2019, 02:18
We have to take common as we can't do anything to exponents separated via addition sign

Therefore,
2^199(1+1) = 2^199*2

Now we can add them, as 2= 2^1

So, 2^(199+1)
2^200=2^x
X= 200 (B)

Posted from my mobile device
CR Forum Moderator
avatar
D
Joined: 18 May 2019
Posts: 811
GMAT ToolKit User Premium Member
Re: If 2^199 + 2^199 = 2^x, what is the value of x?  [#permalink]

Show Tags

New post 01 Aug 2019, 12:42
2^199+2^199=2^x
Let y=2^199
y+y=2^x
2y=2^x
2*2^199=2^x
2^200=2^x
Therefore x=200
Hence B.

Posted from my mobile device
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 10640
Location: United States (CA)
Re: If 2^199 + 2^199 = 2^x, what is the value of x?  [#permalink]

Show Tags

New post 06 Aug 2019, 16:39
Bunuel wrote:
If \(2^{199} + 2^{199} = 2^x\), what is the value of x?

A. 199
B. 200
C. 201
D. 202
E. 203


2^199 is a common factor of both terms on the left side of the equation. Simplifying, we have:

2^199(1 + 1) = 2^x

2^199 * 2^1 = 2^x

2^200 = 2^x

200 = x

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
202 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If 2^199 + 2^199 = 2^x, what is the value of x?   [#permalink] 06 Aug 2019, 16:39

If 2^199 + 2^199 = 2^x, what is the value of x?

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





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