GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 15 Jan 2019, 19:54

### 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

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.

# If y ≠ 0, what is the value of (5x/y)^2?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52108
If y ≠ 0, what is the value of (5x/y)^2?  [#permalink]

### Show Tags

21 Sep 2018, 00:38
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:32) correct 20% (00:39) wrong based on 49 sessions

### HideShow timer Statistics

If y ≠ 0, what is the value of $$(\frac{5x}{y})^2$$?

(1) x = 3
(2) 5x − 2y = 0

_________________
Director
Joined: 31 Oct 2013
Posts: 951
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If y ≠ 0, what is the value of (5x/y)^2?  [#permalink]

### Show Tags

21 Sep 2018, 00:52
Bunuel wrote:
If y ≠ 0, what is the value of $$(\frac{5x}{y})^2$$?

(1) x = 3
(2) 5x − 2y = 0

Statement 1: x =3. No information about y. NOT sufficient.

Statement 2:

5x - 2y = 0

5x = 2y

x / y = 2/5.

Question :$$(5x /y)^2 = (5*x/y)^2 = (5*2/5)^2 = 4.$$

Sufficient .

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2432
Re: If y ≠ 0, what is the value of (5x/y)^2?  [#permalink]

### Show Tags

22 Sep 2018, 02:33

Solution

Given:
• The value of y ≠ 0

To find:
• Value of the expression $$(\frac{5x}{y})^2$$

Analysing Statement 1
From the information given in statement 1, x = 3.
• From this statement, we don’t have any information about the value of y.

Hence, statement 1 is not sufficient.

Analysing Statement 2
From the information given in statement 2, 5x – 2y = 0
• Or, 5x = 2y
• Or, $$\frac{5x}{y}$$ = 2

Therefore, we can find the value of $$(\frac{5x}{y})^2$$.

Hence, statement 2 is sufficient.

The correct answer is option B.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

CEO
Joined: 11 Sep 2015
Posts: 3318
Re: If y ≠ 0, what is the value of (5x/y)^2?  [#permalink]

### Show Tags

22 Sep 2018, 09:04
Top Contributor
Bunuel wrote:
If y ≠ 0, what is the value of $$(\frac{5x}{y})^2$$?

(1) x = 3
(2) 5x − 2y = 0

Target question: What is the value of (5x/y)²

Statement 1: x = 3
Since we have no information about the value of y, statement 1 is not sufficient.

If we're not convinced, we can some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 3 and y = 1. In this case, the answer to the target question is (5x/y)² = (15/1)² = 225
Case b: x = 3 and y = 5. In this case, the answer to the target question is (5x/y)² = (15/5)² = 9
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 5x − 2y = 0
Add 2y to both sides to get: 5x = 2y
Divide both sides by y to get: 5x/y = 2
Square both sides to get: (5x/y)² = 2² = 4
So, the answer to the target question is (5x/y)² = 4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
_________________

Test confidently with gmatprepnow.com

Re: If y ≠ 0, what is the value of (5x/y)^2? &nbs [#permalink] 22 Sep 2018, 09:04
Display posts from previous: Sort by