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x < y - 2

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x < y - 2 [#permalink] New post 11 Dec 2017, 10:00
Expert's post
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Question Stats:

63% (00:28) correct 36% (02:26) wrong based on 11 sessions
\(x < y - 2\)

Quantity A
Quantity B
The average (arithmetic mean) of x and y
\(y-1\)


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.
[Reveal] Spoiler: OA

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Re: x < y - 2 [#permalink] New post 11 Dec 2017, 12:49
1
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Expert's post
Carcass wrote:
\(x < y - 2\)

Quantity A
Quantity B
The average (arithmetic mean) of x and y
\(y-1\)


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.

[Reveal] Spoiler: OA
OA in 24h


We can solve this question using matching operations

Given:
Quantity A: The average (arithmetic mean) of x and y
Quantity B: y - 1

Apply definition of average to get:
Quantity A: (x + y)/2
Quantity B: y - 1

Multiply both quantities by 2 to get:
Quantity A: x + y
Quantity B: 2y - 2

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

Since it is GIVEN that x < y - 2, we can see that Quantity A is greater.

Answer: B


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Re: x < y - 2 [#permalink] New post 11 Dec 2017, 21:06
GreenlightTestPrep wrote:
Carcass wrote:
\(x < y - 2\)

Quantity A
Quantity B
The average (arithmetic mean) of x and y
\(y-1\)


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.

[Reveal] Spoiler: OA
OA in 24h


We can solve this question using matching operations

Given:
Quantity A: The average (arithmetic mean) of x and y
Quantity B: y - 1

Apply definition of average to get:
Quantity A: (x + y)/2
Quantity B: y - 1

Multiply both quantities by 2 to get:
Quantity A: x + y
Quantity B: 2y - 2

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

Since it is GIVEN that x < y - 2, we can see that Quantity A is greater.

Answer: A


RELATED VIDEO FROM OUR COURSE



"Since it is GIVEN that x < y - 2, we can see that Quantity A is greater."

You are wrong: answer should be B
GRE Instructor
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Joined: 10 Apr 2015
Posts: 1175
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Kudos [?]: 1047 [0], given: 6

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Re: x < y - 2 [#permalink] New post 11 Dec 2017, 21:28
Expert's post
Peter wrote:

"Since it is GIVEN that x < y - 2, we can see that Quantity A is greater."

You are wrong: answer should be B


Good catch!
I have edited my answer.

Cheers,
Brent
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Re: x < y - 2   [#permalink] 11 Dec 2017, 21:28
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