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If 28^5/2^x is an integer, what is the greatest possible value of x?
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24 Mar 2022, 10:27
24 Mar 2022, 10:27
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Question Stats:
75% (00:43) correct
25% (01:55) wrong based on 16 sessions
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If x is an integer and \(\frac{28^5}{2^x}\) is an integer, what is the greatest possible value of x?
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10
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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If 28^5/2^x is an integer, what is the greatest possible value of x?
[#permalink]
28 Mar 2022, 00:39
28 Mar 2022, 00:39
2
Carcass wrote:
If x is an integer and \(\frac{28^5}{2^x}\) is an integer, what is the greatest possible value of x?
Show: ::
10
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
\(28^5 = (2^2 . 7)^5 = (2^{10})(7^5)\)
The maximum value of x can be 10
Re: If 28^5/2^x is an integer, what is the greatest possible value of x?
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22 Aug 2023, 08:48
22 Aug 2023, 08:48
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