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

 It is currently 17 Jan 2019, 20:21

### 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.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If x and y are positive, is √x+y>10?

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52231
If x and y are positive, is √x+y>10?  [#permalink]

### Show Tags

11 May 2017, 02:08
00:00

Difficulty:

65% (hard)

Question Stats:

65% (01:44) correct 35% (01:37) wrong based on 200 sessions

### HideShow timer Statistics

If x and y are positive, is $$\sqrt{x+y}>10$$?

(1) $$\frac{\sqrt{x}}{2} +\frac{\sqrt{y}}{2}>5$$

(2) $$\sqrt{4x}>20$$

_________________
Senior Manager
Joined: 02 Mar 2017
Posts: 263
Location: India
Concentration: Finance, Marketing
Re: If x and y are positive, is √x+y>10?  [#permalink]

### Show Tags

11 May 2017, 02:28
In Statement one 2 can be taken to the other side.After squaring LHS and RHS it can be seen that the information alone will not provide us with solution.
On squaring statement 2, we get x>100
Since x and y are positive, this statement alone is sufficient
Hence B
_________________

Kudos-----> If my post was Helpful

Intern
Joined: 14 Dec 2016
Posts: 7
Location: India
GMAT 1: 680 Q48 V35
GPA: 4
Re: If x and y are positive, is √x+y>10?  [#permalink]

### Show Tags

11 May 2017, 05:13
Bunuel wrote:
If x and y are positive, is $$\sqrt{x+y}>10$$?

(1) $$\frac{\sqrt{x}}{2} +\frac{\sqrt{y}}{2}>5$$

(2) $$\sqrt{4x}>20$$

IMO B.

$$\sqrt{x+y}>10$$
square both sides..
so the question becomes : Is |x+y|>100?
Since x & y are both positive x+y will be positive.

statement 1. says : $$\frac{\sqrt{x}}{2} +\frac{\sqrt{y}}{2}>5$$ => $$\sqrt{x}+\sqrt{y}>10$$
This doesn't give any information on values of x and y.

Statement 2 says: $$\sqrt{4x}>20$$ => $$\sqrt{x}>10$$ squaring both sides: x>100 .

Hence this statement itself is sufficient since y is positive x+y has to be greater than 100.

Re: If x and y are positive, is √x+y>10? &nbs [#permalink] 11 May 2017, 05:13
Display posts from previous: Sort by

# If x and y are positive, is √x+y>10?

 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®.