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The number n is an integer, 7^n < 3000, and 5^n > 600.
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04 Aug 2022, 02:57
04 Aug 2022, 02:57
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The number n is an integer, \(7^n < 3000\), and \(5^n > 600\).
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
Quantity A |
Quantity B |
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
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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Re: The number n is an integer, 7^n < 3000, and 5^n > 600.
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04 Aug 2022, 08:38
04 Aug 2022, 08:38
2
Carcass wrote:
The number n is an integer, \(7^n < 3000\), and \(5^n > 600\).
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
Quantity A |
Quantity B |
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
I believe the fastest/easiest solution for this question is to simply call up the on-screen calculator (since there's no exponent button, you'll have to keep multiplying).
Given: \(7^n < 3000\)
\(7^4 < 2401\) and \(7^5 < 16,807\)
This tells us that \(n ≤ 4\)
Given: \(5^n > 600\)
\(5^3 = 125\) and \(5^4 = 625\)
This tells us \(n ≥ 4\)
Combine the results to get: \( 4 ≤ n ≤ 4\), which means \(n = 4\), which means Quantity B is greater than Quantity A
Answer: B
Re: The number n is an integer, 7^n < 3000, and 5^n > 600.
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22 Feb 2026, 05:55
22 Feb 2026, 05:55
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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