BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Is x = y?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Thu May 09, 2019 6:25 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

AbeNeedsAnswers wrote:Is x = y?

(1) 2x/3 - y/3 = 1/3
(2) x/4 - y/4 = 0
Target question: Is x = y?

Statement 1: 2x/3 - y/3 = 1/3
Multiply both sides by 3 to get: 2x - y = 1
There are several values of x and y that satisfy this equation. Here are two:
Case a: x = 1 and y = 1. In this case, the answer to the target question is YES, it is the case that x = y
Case b: x = 2 and y = 3. In this case, the answer to the target question is NO, it is not the case that x = y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: x/4 - y/4 = 0
Multiply both sides by 4 to get: x - y = 0
Add y to both sides to get: x = y
The answer to the target question is YES, it is the case that x = y
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Thu May 09, 2019 3:48 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Hi All,

We're asked if X = Y. This is a YES/NO question can be solved with a mix of Arithmetic and TESTing VALUES.

1) (2X/3) - (Y/3) = 1/3

Since each value in this equation is divided by 3, we can 'simplify' the equation by multiplying each term by 3. This gives us:
2X - Y = 1
2X = Y + 1

IF....
X=1 and Y= 1, then the answer to the question is YES.
X=1.5 and Y= 2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT

2) (X/4) - (Y/4) = 0

Since each value in this equation is divided by 4, we can 'simplify' the equation by multiplying each term by 4. This gives us:
X - Y = 0
X = Y
The information in Fact 2 tells us that X and Y are EQUAL, so the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT

Final Answer: B

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: Is x = y?

by Scott@TargetTestPrep » Fri May 14, 2021 6:01 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

AbeNeedsAnswers wrote: ↑
Wed May 08, 2019 7:48 pm
 Is x = y?

(1) 2x/3 - y/3 = 1/3
(2) x/4 - y/4 = 0

B

Source: Official Guide 2020
Solution:

Question Stem Analysis:


We need to determine whether x = y.

Statement One Alone:

Multiplying the equation by 3, we have:

2x - y = 1

2x = y + 1

This does not allow us to determine whether x = y. For example, if x = 1 and y = 1, then x = y. However, if x = 2 and y = 3, then x ≠ y. Statement one alone is not sufficient.

Statement Two Alone:

Multiplying the equation by 4, we have:

x - y = 0

x = y

We see that x is indeed equal to y. Statement two alone is sufficient.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1