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

 It is currently 14 Dec 2018, 03:08

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
• ### Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

10:00 PM PST

11:00 PM PST

Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.

# What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51212
What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?  [#permalink]

### Show Tags

21 Aug 2018, 23:49
00:00

Difficulty:

(N/A)

Question Stats:

77% (00:50) correct 23% (01:26) wrong based on 61 sessions

### HideShow timer Statistics

What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?

A. -2
B. 4
C. 5
D. 8
E. 12

_________________
Senior Manager
Joined: 18 Jul 2018
Posts: 498
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?  [#permalink]

### Show Tags

22 Aug 2018, 00:00
Let's consider X = -3. Then the max value of Y can be 4.

B is the answer.

Posted from my mobile device
_________________

When you want something, the whole universe conspires in helping you achieve it.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2306
What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?  [#permalink]

### Show Tags

22 Aug 2018, 00:02

Solution

Given:
• Two variables x and y
• $$(x+3)^2 + (y+6)^2 = 100$$

To find:
• Largest possible value of y

Approach and Working:
If y is largest, then $$(y+6)^2$$ must be largest, and simultaneously $$(x+3)^2$$ must be smallest.
• Now, the minimum value of any square number is always 0.
o Hence, if y is largest, we can say $$(x+3)^2$$ is 0.
o Therefore, $$(y+6)^2 = 100 = 10^2$$
Or, y + 6 = 10 (ignoring the negative root, as we are maximising y)
Or, y = 4

Hence, 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

Director
Joined: 31 Oct 2013
Posts: 876
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?  [#permalink]

### Show Tags

22 Aug 2018, 00:20
Bunuel wrote:
What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?

A. -2
B. 4
C. 5
D. 8
E. 12

Given

$$(x+3)^2 + (y+6)^2 = 100$$

we are looking for the largest value of y. Therefore we need to minimize $$(x + 3)^2$$. x can be anything as there are no conditions related to x are given. any value other than - 3 is not accepted in this case.

$$(- 3 + 3 )^2 + (y + 6)^2$$ = 100

$$(0)^2 + ( 4 + 6 )^2$$ = 100

So, y = 4.

anyone can plug other values but these values won't work as we have even exponents .

The best answer is B.
What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100? &nbs [#permalink] 22 Aug 2018, 00:20
Display posts from previous: Sort by

# What is the largest possible value of y if (x+3)^2 + (y+6)^2 = 100?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.