NEW HERE? LEARN MORE
closeclose
Last visit was: 27 Apr 2024, 13:57 It is currently 27 Apr 2024, 13:57
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

gamma+delta

User avatar
LalaB
Current Student
Joined: 23 Oct 2010
Posts: 235
Own Kudos [?]: 1111 [0]
Given Kudos: 73
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Send PM
GMAT ToolKit User
gamma+delta [#permalink] New post   20 Sep 2011, 05:04
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (03:16) correct 50% (01:08) wrong based on 4 sessions
Hide Show timer Statistics
Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of a gamma raised to the seventh power and a delta raised to the seventh power?

(A)alpha
(B)beta
(C)gamma
(D)delta
(E)epsilon



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
A
User avatar
B
gmatcracker24
Manager
Manager
Joined: 29 Jun 2010
Status::)
Posts: 84
Own Kudos [?]: 92 [1]
Given Kudos: 54
WE:Information Technology (Consulting)
Send PM
Reviews Badge
Re: gamma+delta [#permalink] New post   20 Sep 2011, 09:51
1
Kudos
Looking at the units digit is the key here

First find the units digit, There is a pattern :

If the result ends with a 0 or a 5, it is an alpha (our answer)
If the result ends with a 1 or 6, it is a beta
If the result ends with a 2 or 7, it is a gamma
so on...

Hope this helps
User avatar
jamifahad
Senior Manager
Senior Manager
Joined: 03 Mar 2010
Posts: 259
Own Kudos [?]: 1372 [0]
Given Kudos: 22
Schools: Simon '16 (M$)
Send PM
Re: gamma+delta [#permalink] New post   20 Sep 2011, 10:24
alpha--beta--gamma--delta--epsilon
0--1--2--3--4
5--6--7--8--9

Now (gamma)^7+(delta)^7
=2^7+3^7
=last digit of 2^7 + last digit of 3^7
= 8+7=5(last digit of sum)--alpha

One more case
= 7^7 + 8^7
=last digit of 7^7 + last digit of 8^7
= 3+2=5(last digit of sum)--alpha.

OA A.
User avatar
Spidy001
Senior Manager
Senior Manager
Joined: 01 Feb 2011
Posts: 309
Own Kudos [?]: 324 [0]
Given Kudos: 42
Send PM
Re: gamma+delta [#permalink] New post   20 Sep 2011, 17:29
A-B-G-D-E
0-1-2-3-4 ----->second row
5-6-7-8-9

In the above sequence we can see that every number can be expressed as a multiple of 5 and some remainder.

eg 0 = 0*5
6= 5*1+1

so if we can figure out whats the remainder when the number is divided by 5, we can figure out what label it belongs to by looking at the second row.


remainder of (G^7+D^7)/5 = ?

lets pick G=2, D=3

=remainder of (2^7+3^7)/5

last digit of 2^7 is 8 and last digit of 3^7 = 7

=> remainder will be 0

i.e label A or Alpha.

Answer is A.
User avatar
GMATmission
Manager
Manager
Joined: 16 Aug 2011
Status:Bell the GMAT!!!
Affiliations: Aidha
Posts: 109
Own Kudos [?]: 190 [0]
Given Kudos: 43
Location: Singapore
Concentration: Finance, General Management
Schools: INSEAD Jan '13 Said LBS '14
GMAT 1: 680 Q46 V37
GMAT 2: 620 Q49 V27
GMAT 3: 700 Q49 V36
WE:Other (Other)
Send PM
Re: gamma+delta [#permalink] New post   21 Sep 2011, 01:57
gmatcracker24 wrote:
Looking at the units digit is the key here

First find the units digit, There is a pattern :

If the result ends with a 0 or a 5, it is an alpha (our answer)
If the result ends with a 1 or 6, it is a beta
If the result ends with a 2 or 7, it is a gamma
so on...

Hope this helps


Good explanation. Kudos to you.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: gamma+delta [#permalink]
21 Sep 2011, 01:57
Moderators:
Bunuel
Math Expert
92959 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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