Find all School-related info fast with the new School-Specific MBA Forum

It is currently 22 Oct 2014, 06:48

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

gamma+delta

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Current Student
User avatar
Joined: 23 Oct 2010
Posts: 384
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Followers: 13

Kudos [?]: 146 [0], given: 73

GMAT ToolKit User
gamma+delta [#permalink] New post 20 Sep 2011, 04:04
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

56% (02:18) correct 44% (00:34) wrong based on 9 sessions
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
[Reveal] Spoiler: OA

_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

1 KUDOS received
Manager
Manager
User avatar
Status: Trying hard to give another shot!
Joined: 29 Jun 2010
Posts: 108
GMAT 1: 610 Q45 V29
WE: Information Technology (Computer Software)
Followers: 1

Kudos [?]: 44 [1] , given: 34

Reviews Badge
Re: gamma+delta [#permalink] New post 20 Sep 2011, 08:51
1
This post received
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
_________________

Thanks,
GC24


Please click Kudos ,if my post helped you ;)

Senior Manager
Senior Manager
User avatar
Joined: 03 Mar 2010
Posts: 445
Schools: Kelley,Tepper,Carlson,Kenan Flager,Broad
Followers: 4

Kudos [?]: 119 [0], given: 22

Re: gamma+delta [#permalink] New post 20 Sep 2011, 09:24
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.
_________________

My dad once said to me: Son, nothing succeeds like success.

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 768
Followers: 14

Kudos [?]: 58 [0], given: 42

CAT Tests
Re: gamma+delta [#permalink] New post 20 Sep 2011, 16:29
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.
Manager
Manager
avatar
Status: Bell the GMAT!!!
Affiliations: Aidha
Joined: 16 Aug 2011
Posts: 186
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 680 Q46 V37
GMAT 2: 620 Q49 V27
GMAT 3: 700 Q49 V36
WE: Other (Other)
Followers: 5

Kudos [?]: 39 [0], given: 43

Re: gamma+delta [#permalink] New post 21 Sep 2011, 00:57
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.
_________________

If my post did a dance in your mind, send me the steps through kudos :)

My MBA journey at http://mbadilemma.wordpress.com/

Re: gamma+delta   [#permalink] 21 Sep 2011, 00:57
Display posts from previous: Sort by

gamma+delta

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.