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Starting with 0, a mathematician labels every non-negative i

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Starting with 0, a mathematician labels every non-negative i

by BTGmoderatorDC » Wed Feb 06, 2019 5:58 am

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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 A

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by [email protected] » Wed Feb 06, 2019 7:39 pm
Hi All,

We're told that 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. We're asked for 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. This question can be solved by TESTing VALUES.

Based on the given sequence, we can 'translate' the first set of labels as:
0 = alpha
1 = beta
2 = gamma
3 = delta
4 = epsilon

Thus, the sum of "a gamma raised to the 7th power" and a "delta raised to 7th power" could be written as...

(2)^7 + (3)^7

(2)^7 = 128
(3)^7 = 2187
Sum = 2315

Since the total ends in a '5', and the above sequence repeats, we know that the appropriate label would be 'alpha.'

Final Answer: A

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