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Which is greater?

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Manager
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Joined: 20 May 2014
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Which is greater? [#permalink] New post 01 Oct 2017, 04:39
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Quantity A
Quantity B
10x+2
2x+10


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.
[Reveal] Spoiler: OA
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Manager
Manager
Joined: 20 Apr 2016
Posts: 209
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Kudos [?]: 121 [1] , given: 52

Re: Which is greater? [#permalink] New post 01 Oct 2017, 06:52
1
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Bunuel wrote:
Quantity A
Quantity B
10x+2
2x+10


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.



No information is given for x and it can be fraction or real number, so option D
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Manager
Manager
Joined: 20 May 2014
Posts: 123
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Kudos [?]: 25 [0], given: 89

Re: Which is greater? [#permalink] New post 01 Oct 2017, 06:56
pranab01 wrote:
Bunuel wrote:
Quantity A
Quantity B
10x+2
2x+10


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.



No information is given for x and it can be fraction or real number, so option D


Real numbers include fractions, irrational numbers and integers. I think you meant "integer" instead. But even if we were given that x is a non-integer (a fraction or an irrational number) or integer, the answer still would be D.
Manager
Manager
Joined: 20 Apr 2016
Posts: 209
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Kudos [?]: 121 [0], given: 52

Re: Which is greater? [#permalink] New post 01 Oct 2017, 07:39
Bunuel wrote:
pranab01 wrote:
Bunuel wrote:
Quantity A
Quantity B
10x+2
2x+10


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.



No information is given for x and it can be fraction or real number, so option D


Real numbers include fractions, irrational numbers and integers. I think you meant "integer" instead. But even if we were given that x is a non-integer (a fraction or an irrational number) or integer, the answer still would be D.


yes. you are right. Apology for the typo mistake.
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Senior Manager
Senior Manager
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Posts: 401
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Kudos [?]: 110 [0], given: 64

Re: Which is greater? [#permalink] New post 01 Oct 2017, 07:41
Bunuel wrote:
pranab01 wrote:
Bunuel wrote:
Quantity A
Quantity B
10x+2
2x+10


A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Kudos for correct solution.



No information is given for x and it can be fraction or real number, so option D


Real numbers include fractions, irrational numbers and integers. I think you meant "integer" instead. But even if we were given that x is a non-integer (a fraction or an irrational number) or integer, the answer still would be D.


If we rearrange we are left with quantity A being 8x and quantity B being 8. Then, since there are no restrictions about x, it can be whatever.
E.g. if x = 1, then the two quantities are equal
if x = -2, then quantity B is greater
if x = 2, then quantity A is greater.

Thus the answer is D
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Re: Which is greater? [#permalink] New post 05 Oct 2017, 10:44
1
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Expert's post
Bunuel wrote:
Quantity A
Quantity B
10x+2
2x+10



We can solve this question using matching operations

Given:
Quantity A: 10x + 2
Quantity B: 2x + 10


Subtract 2x from both quantities to get:
Quantity A: 8x + 2
Quantity B: 10

Subtract 2 from both quantities to get:
Quantity A: 8x
Quantity B: 8

Divide both quantities by 8 to get:
Quantity A: x
Quantity B: 1

Since we have no information about x, quantity A COULD be greater than, less than or equal to quantity B
Answer:
[Reveal] Spoiler:
D


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Re: Which is greater?   [#permalink] 05 Oct 2017, 10:44
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