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Series calculation

by rnaah » Thu Sep 29, 2011 6:05 am
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
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by Bigred2008 » Thu Sep 29, 2011 6:12 am
is it E? Can you post OA
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by kmittal82 » Thu Sep 29, 2011 6:14 am
Let the digits be represented like so

0 1 2 3 4 5 6 7 8 9 10 ...
a b c d e a b c d e a ....

So, to take the simplest case, we need 2^7 + 3^7

2^7 will end in an 8, 3^7 ends in a 7

So, we have some number ending in 8 + some number ending in 7, adding is some number ending in 5, hence Alpha

so, (A)

OA please?
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by Bigred2008 » Thu Sep 29, 2011 6:26 am
kmittal82 wrote:Let the digits be represented like so

0 1 2 3 4 5 6 7 8 9 10 ...
a b c d e a b c d e a ....

So, to take the simplest case, we need 2^7 + 3^7

2^7 will end in an 8, 3^7 ends in a 7

So, we have some number ending in 8 + some number ending in 7, adding is some number ending in 5, hence Alpha

so, (A)

OA please?
You're right, I made a mistake with the 3^7, I had it down as 1 instead of 7.
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by rohit_gmat » Thu Sep 29, 2011 8:15 am
rnaah wrote: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
OA with explanation can be found over here :
https://www.beatthegmat.com/mba/2011/09/ ... -sept-2011
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by GMATGuruNY » Thu Sep 29, 2011 1:37 pm
I posted a solution here:

https://www.beatthegmat.com/nice-problem-t91343.html
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