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# gamma+delta

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Current Student
Joined: 23 Oct 2010
Posts: 386
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
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Kudos [?]: 186 [0], given: 73

gamma+delta [#permalink]  20 Sep 2011, 04:04
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(N/A)

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

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Manager
Status: Trying hard to give another shot!
Joined: 29 Jun 2010
Posts: 108
GMAT 1: 610 Q45 V29
WE: Information Technology (Computer Software)
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Kudos [?]: 21 [1] , given: 34

Re: gamma+delta [#permalink]  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
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GC24

Please click Kudos ,if my post helped you

Senior Manager
Joined: 03 Mar 2010
Posts: 446
Schools: Simon '16 (M)
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Kudos [?]: 149 [0], given: 22

Re: gamma+delta [#permalink]  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.
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Director
Joined: 01 Feb 2011
Posts: 763
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Kudos [?]: 68 [0], given: 42

Re: gamma+delta [#permalink]  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
Status: Bell the GMAT!!!
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Joined: 16 Aug 2011
Posts: 186
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 680 Q46 V37
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GMAT 3: 700 Q49 V36
WE: Other (Other)
Followers: 5

Kudos [?]: 44 [0], given: 43

Re: gamma+delta [#permalink]  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.
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My MBA journey at http://mbadilemma.wordpress.com/

Re: gamma+delta   [#permalink] 21 Sep 2011, 00:57
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# gamma+delta

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