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3 < a < b < 4
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08 Jun 2022, 01:00
08 Jun 2022, 01:00
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Question Stats:
70% (01:31) correct
30% (01:12) wrong based on 80 sessions
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\(3 < a < b < 4\)
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 |
33 1/3 % of a |
25% of b |
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 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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3 < a < b < 4
[#permalink]
08 Jun 2022, 06:02
08 Jun 2022, 06:02
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Carcass wrote:
\(3 < a < b < 4\)
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 |
33 1/3 % of a |
25% of b |
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
Great question!!
Given:
QUANTITY A: 33 1/3% of a
QUANTITY B: 25% of b
Since 33 1/3% = 1/3 and 25% = 1/4, we can rewrite the quantities as follows:
QUANTITY A: (1/3)a
QUANTITY B: (1/4)b
To eliminate the fractions, let's multiply both quantities by 12 to get:
QUANTITY A: 4a
QUANTITY B: 3b
Divide both quantities by 3 to get:
QUANTITY A: 4a/3
QUANTITY B: b
Since a is positive, we can safely divide both quantities by a to get:
QUANTITY A: 4/3
QUANTITY B: b/a
Since a > 3 and since b < 4, we know that b/a < 4/3
Answer: A
Re: 3 < a < b < 4
[#permalink]
06 Sep 2023, 14:45
06 Sep 2023, 14:45
1
You can test the extremes. Test 1/3 of 3.1 v. 1/4 of 3.2 --> A is larger. Test 1/3 of 3.8 v. 1/4 of 3.9 --> A is still larger. Therefore, A is the correct answer.
