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Which is greater?

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Which is greater? [#permalink] New post 01 Oct 2017, 04:39
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Question Stats:

100% (00:21) correct 0% (00:00) wrong based on 18 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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Director
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Re: Which is greater? [#permalink] New post 01 Oct 2017, 06:52
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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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Senior Manager
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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.
Director
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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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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
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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] New post 02 Mar 2018, 12:44
Quantity A and Quantity B need to be simplified first, so we will able to decide about the answer without plugin.

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

If we subtract any value from the two Quantities, the resultant will not change the greater quantity to less. So we can subtract by same value.

So let's subtract by (2x +2) from both Quantity A and Quantity B, we'll get:

Quantity A: 8x
Quantity B: 8

Finally, we can decide easily that x can be positive, negative or zero. Thus, Choice D is correct.
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Re: Which is greater? [#permalink] New post 11 Mar 2018, 07:08
if the x is negative than the right answer is A. If it is positive then the answer is B. Hence the right answer is D
Re: Which is greater?   [#permalink] 11 Mar 2018, 07:08
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Which is greater?

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