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n and q are positive integers , and n is a multiple of 5

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n and q are positive integers , and n is a multiple of 5 [#permalink] New post   23 Jan 2024, 03:24
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n and q are positive integers , and n is a multiple of 5

Quantity A
Quantity B
\(q^{n-5}\)
\(q^{\frac{n}{5}}\)




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



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D
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VibhuAnurag
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Re: n and q are positive integers , and n is a multiple of 5 [#permalink] New post   27 Jan 2024, 01:04
1
The answer is D.

If n = 5:
Qty A = q^0 = 1
Qty B = q^1 = q
--> We do not know whether q > 1.

If n = 10:
Qty A = q^5
Qty B = q^2
--> If q = 1, then q^5 = q^2, otherwise q^5 > q^2. Again, we do not know the value of q.

We will keep getting different answers for different values of n. Therefore, we will not get a unique answer.
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gmatclubot
Re: n and q are positive integers , and n is a multiple of 5 [#permalink]
27 Jan 2024, 01:04
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