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

 It is currently 13 Dec 2019, 13:31

### 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
Your Progress

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

# Given that X and Y are non–negative, what is the value of X? (1) 2X +

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

### Hide Tags

VP
Joined: 23 Feb 2015
Posts: 1351
Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

### Show Tags

30 Nov 2019, 11:08
1
00:00

Difficulty:

(N/A)

Question Stats:

64% (01:14) correct 36% (01:04) wrong based on 14 sessions

### HideShow timer Statistics

Given that $$X$$ and $$Y$$ are non–negative, what is the value of X?
(1) $$2X + 2Y ≤ 40$$
(2) $$X – 2Y ≤ 20$$

_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow

SEARCH FOR ALL TAGS
Manager
Status: wake up with a purpose
Joined: 24 Feb 2017
Posts: 158
Concentration: Accounting, Entrepreneurship
Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

### Show Tags

30 Nov 2019, 11:34
That should be (E).

X and y are nonnegative means they can be 0 or positive.

Statement (1):
2x+2y is less than or equal to 40
= x+y is less than or equal to 20.
So many possibilities for x. INSUFFICIENT.
For example:
x is 10, y is 1
x is 11, y is 1

Statement (2):
x-2y is less than or equal to 20
again, too many possibilities for x. INSUFFICIENT.
For example:
X=10, y=1
X=11, y=1

Together, still INSUFFICIENT!
Look I have used the same numbers.

Picking smart numbers will always help you at the end. Here even if we add those two inequalities, we will get something like
"x is less than 20" that means x can have all the values 0,1,....20!
But we don't need to do this far!
Saving 3/4 seconds or even 10 seconds is huge important.

If it's helpful, Leave a KUDOS!
Happy Thanksgiving BelalHossain046

Posted from my mobile device
_________________
If people are NOT laughing at your GOALS, your goals are SMALL.
Manager
Joined: 11 Feb 2013
Posts: 230
Location: United States (TX)
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

### Show Tags

30 Nov 2019, 13:18
1
RashedVai wrote:
That should be (E).

X and y are nonnegative means they can be 0 or positive.

Statement (1):
2x+2y is less than or equal to 40
= x+y is less than or equal to 20.
So many possibilities for x. INSUFFICIENT.
For example:
x is 10, y is 1
x is 11, y is 1

Statement (2):
x-2y is less than or equal to 20
again, too many possibilities for x. INSUFFICIENT.
For example:
X=10, y=1
X=11, y=1

Together, still INSUFFICIENT!
Look I have used the same numbers.

Picking smart numbers will always help you at the end. Here even if we add those two inequalities, we will get something like
"x is less than 20" that means x can have all the values 0,1,....20!
But we don't need to do this far!
Saving 3/4 seconds or even 10 seconds is huge important.

If it's helpful, Leave a KUDOS!
Happy Thanksgiving BelalHossain046

Posted from my mobile device

Happy Thanksgiving RashedVai.

Some crazy things in this question are-
1. Nonnegative (that means ZERO can be a value of x or y)
2. EQUAL or LESS [If you comply one of them (i.e. if you comply LESS without complying EQUAL), the statement is still valid. No need to comply both LESS and EQUAL.
normally it is easier to comply LESS than to comply EQUAL rules.]
Manager
Joined: 11 Feb 2013
Posts: 230
Location: United States (TX)
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

### Show Tags

30 Nov 2019, 13:30
Asad wrote:
Given that $$X$$ and $$Y$$ are non–negative, what is the value of X?
(1) $$2X + 2Y ≤ 40$$
(2) $$X – 2Y ≤ 20$$

Statement 1: x+y < 20 (even without complying EQUAL rules, this statement is valid)
Case 1: X=0; y=0
Case 2: x=1; y =0
Different values of x satisfy statement 1. Insufficient

Statement 2: x-2Y <20(even without complying EQUAL rules, this statement is valid)
Case 1: X=0; y=0
Case 2: x=1; y =0
Different values of x satisfy statement 2. Insufficient

Since SAME SET OF DIFFERENT VALUES OF X satisfies the both statements, no need to go for COMBINING.
X CAN HAVE DIFFERENT VALUES (no unique Value)
ANSWER E.
Manager
Joined: 11 Feb 2013
Posts: 230
Location: United States (TX)
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

### Show Tags

30 Nov 2019, 13:32
I believe this question would be of sub 600 level.
Manager
Status: wake up with a purpose
Joined: 24 Feb 2017
Posts: 158
Concentration: Accounting, Entrepreneurship
Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

### Show Tags

30 Nov 2019, 13:37
I haven't thought about plugging zeros!
Easy picking.

Posted from my mobile device
_________________
If people are NOT laughing at your GOALS, your goals are SMALL.
Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +   [#permalink] 30 Nov 2019, 13:37
Display posts from previous: Sort by

# Given that X and Y are non–negative, what is the value of X? (1) 2X +

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne