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Founder  Joined: 18 Apr 2015
Posts: 7418
Followers: 125

Kudos [?]: 1454 , given: 6625

x < y - 2 [#permalink]
Expert's post 00:00

Question Stats: 62% (00:37) correct 37% (02:15) wrong based on 16 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

_________________ GRE Instructor Joined: 10 Apr 2015
Posts: 2175
Followers: 65

Kudos [?]: 1992  , given: 20

Re: x < y - 2 [#permalink]
1
KUDOS
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.

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com Manager Joined: 27 Sep 2017
Posts: 112
Followers: 1

Kudos [?]: 30 , given: 4

Re: x < y - 2 [#permalink]
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.

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 Joined: 10 Apr 2015
Posts: 2175
Followers: 65

Kudos [?]: 1992 , given: 20

Re: x < y - 2 [#permalink]
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!

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  Re: x < y - 2   [#permalink] 11 Dec 2017, 21:28
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