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3^15+3^13+3^14
[#permalink]
25 Jul 2022, 00:56
25 Jul 2022, 00:56
1
Expert Reply
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Question Stats:
66% (00:54) correct
33% (01:03) wrong based on 27 sessions
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Quantity A |
Quantity B |
\(3^{15}+3^{13}+3^{14} \) |
\(3^{16} \) |
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 for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: 3^15+3^13+3^14
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27 Jul 2022, 15:31
27 Jul 2022, 15:31
Expert Reply
3^15+3^13+3^14
[#permalink]
28 Jul 2022, 04:15
28 Jul 2022, 04:15
1
Quantity A can be rearranged to be 3^13+3^14+3^15
then 3^13(1+3+3^2)
then 3^13(13)
Quantity B is already given as 3^16
So now when we compare Quantity A and Quantity B,
You will see that quantity B is 3^13*3^2 which is obviously larger than 3^13*3
The answer is B.
then 3^13(1+3+3^2)
then 3^13(13)
Quantity B is already given as 3^16
So now when we compare Quantity A and Quantity B,
You will see that quantity B is 3^13*3^2 which is obviously larger than 3^13*3
The answer is B.
