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

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

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New post 30 Nov 2019, 11:08
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A
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D
E

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

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New post 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

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

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New post 30 Nov 2019, 13:18
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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.]
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Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

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New post 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.
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Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

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New post 30 Nov 2019, 13:32
I believe this question would be of sub 600 level.
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Re: Given that X and Y are non–negative, what is the value of X? (1) 2X +  [#permalink]

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

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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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