It is currently 22 Jul 2019, 08:22

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# x < y - 2

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 7418
Followers: 125

Kudos [?]: 1454 [0], given: 6625

x < y - 2 [#permalink]  11 Dec 2017, 10:00
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 [1] , given: 20

Re: x < y - 2 [#permalink]  11 Dec 2017, 12:49
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 [0], given: 4

Re: x < y - 2 [#permalink]  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.

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 [0], given: 20

Re: x < y - 2 [#permalink]  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!

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: x < y - 2   [#permalink] 11 Dec 2017, 21:28
Display posts from previous: Sort by