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x>2
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15 Apr 2022, 10:15
15 Apr 2022, 10:15
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Question Stats:
27% (00:36) correct
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\(x>2\)
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 |
3x+9 |
8x-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 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
Re: x>2
[#permalink]
15 Apr 2022, 11:26
15 Apr 2022, 11:26
1
Good question, I felled into trap and selected wrong option B
Given x > 2, so it can either be integer or a decimal no.
Lets check x = 14/5 ----> Option A = 3x+9 --> (3 * 14 + 9 * 5) / 5 ---> (42 + 45) / 5 ---> 87/5
Option B = 8x-5 -----> ( 8 * 14 - 5 * 5) / 5 ----> (112 - 25) / 5 ---> 87/5, hence Option A = Option B
Lets check for x = 3 ---- Option A = 18 and Option B = 19, hence Option A < Option B,
Since we have multiple right answers, Option D is correct ans choice
Given x > 2, so it can either be integer or a decimal no.
Lets check x = 14/5 ----> Option A = 3x+9 --> (3 * 14 + 9 * 5) / 5 ---> (42 + 45) / 5 ---> 87/5
Option B = 8x-5 -----> ( 8 * 14 - 5 * 5) / 5 ----> (112 - 25) / 5 ---> 87/5, hence Option A = Option B
Lets check for x = 3 ---- Option A = 18 and Option B = 19, hence Option A < Option B,
Since we have multiple right answers, Option D is correct ans choice
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Re: x>2
[#permalink]
15 Apr 2022, 11:27
15 Apr 2022, 11:27
1
Carcass wrote:
\(x>2\)
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 |
3x+9 |
8x-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 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
We can solve this question using matching operations (see the video lesson below )
Given:
Quantity A: 3x + 9
Quantity B: 8x - 5
Subtract 3x from both quantities:
Quantity A: 9
Quantity B: 5x - 5
Add 5 to both quantities:
Quantity A: 14
Quantity B: 5x
Divide both quantities by 5:
Quantity A: 2.8
Quantity B: x
Since we're told x > 2, it COULD be the case that x = 2.8, in which case the two quantities are equal.
Or it COULD be the case that x = 2.1, in which case quantity A is greater.
Or it COULD be the case that x = 3, in which case the quantity B is greater.
Answer: D
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