NEW HERE? LEARN MORE
closeclose
Last visit was: 06 May 2024, 05:40 It is currently 06 May 2024, 05:40
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

M03-17

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93051
Own Kudos [?]: 621592 [10]
Given Kudos: 81765
Send PM
CAT Tests Forum Quiz Mode
M03-17 [#permalink] New post   16 Sep 2014, 00:20
2
Kudos
8
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

89% (00:23) correct 11% (00:31) wrong based on 814 sessions
Hide Show timer Statistics
What is the value of integer \(k\)?


(1) \(2^k=1\)

(2) \(1^k=1\)
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93051
Own Kudos [?]: 621592 [5]
Given Kudos: 81765
Send PM
CAT Tests Forum Quiz Mode
Re M03-17 [#permalink] New post   16 Sep 2014, 00:20
4
Kudos
1
Bookmarks
Expert Reply
Official Solution:


What is the value of integer \(k\)?

(1) \(2^k=1\).

If a base is neither -1 nor 1, then for exponentiation to yield 1, the exponent must be 0. Consequently, it follows that \(k = 0\). Sufficient.

(2) \(1^k=1\).

This equation holds true for any value of \(k\). Not sufficient.


Answer: A
General Discussion
User avatar
G
msk0657
Retired Moderator
Joined: 26 Nov 2012
Posts: 473
Own Kudos [?]: 493 [0]
Given Kudos: 46
Send PM
Re: M03-17 [#permalink] New post   22 May 2016, 04:59
Bunuel wrote:
Official Solution:


(1) \(2^k=1\). Since any nonzero number to the power of 0 is 1 then \(k=0\). Sufficient.

(2) \(1^k=1\). This equation holds true for any value of \(k\). Not sufficient.


Answer: A



Hi Bunuel,

Can you please explain point number 2. (This equation holds true for any value of \(k\). Not sufficient.)

A. When 2 power K = 2 power 0 = 1...I thought this is fine.. sufficient.

B. When 1 power K = 1 power 0 = 1....thought even this is sufficient. Then I chose D.
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11217
Own Kudos [?]: 32300 [1]
Given Kudos: 301
Send PM
Reviews Badge Forum Quiz Mode
Re: M03-17 [#permalink] New post   22 May 2016, 05:40
1
Kudos
Expert Reply
msk0657 wrote:
Bunuel wrote:
Official Solution:


(1) \(2^k=1\). Since any nonzero number to the power of 0 is 1 then \(k=0\). Sufficient.

(2) \(1^k=1\). This equation holds true for any value of \(k\). Not sufficient.


Answer: A



Hi Bunuel,

Can you please explain point number 2. (This equation holds true for any value of \(k\). Not sufficient.)

A. When 2 power K = 2 power 0 = 1...I thought this is fine.. sufficient.

B. When 1 power K = 1 power 0 = 1....thought even this is sufficient. Then I chose D.


Hi,
the reason mentioned by you is the very reason that statement II is NOT suff...
you take any value of K,

(2) \(1^k=1\).
K=1....\(1^1=1\)....
K=2....\(1^2=1\)....
so k can take any value 1,2,3,4..
so insuff
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93051
Own Kudos [?]: 621592 [0]
Given Kudos: 81765
Send PM
CAT Tests Forum Quiz Mode
Re: M03-17 [#permalink] New post   07 May 2023, 07:24
Expert Reply
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
User avatar
P
BottomJee
DI Forum Moderator
Joined: 05 May 2019
Status:GMAT Club Team member
Affiliations: GMAT Club
Posts: 1030
Own Kudos [?]: 653 [0]
Given Kudos: 1003
Location: India
GMAT Focus 1:
645 Q82 V81 DI82
GMAT 1: 430 Q31 V19
GMAT 2: 570 Q44 V25
GMAT 3: 660 Q48 V33
GPA: 3.26
WE:Engineering (Manufacturing)
Send PM
Reviews Badge CAT Tests Forum Quiz Mode
Re M03-17 [#permalink] New post   12 Aug 2023, 02:04
I think this is a high-quality question and I agree with explanation.
GMAT Club Bot
gmatclubot
Re M03-17 [#permalink]
12 Aug 2023, 02:04
Moderator:
Bunuel
Math Expert
93051 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions