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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Given that X and Y are non–negative, what is the value of X? (1) 2X +

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

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

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

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Manager  P
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]

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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
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Manager  G
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]

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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  G
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]

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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)
Manager  G
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]

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I believe this question would be of sub 600 level.
Manager  P
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]

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I haven't thought about plugging zeros!
Easy picking.

Posted from my mobile device
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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
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