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# If y is positive, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 60600
If y is positive, what is the value of x?  [#permalink]

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22 Aug 2017, 01:43
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Difficulty:

55% (hard)

Question Stats:

56% (01:38) correct 44% (01:05) wrong based on 79 sessions

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If y is positive, what is the value of x?

(1) The distance between x and y on the number line is equal to the distance between y and zero
(2) On the number line, x is to the left of y

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Joined: 02 Jul 2017
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If y is positive, what is the value of x?  [#permalink]

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22 Aug 2017, 02:26
1
y =+ve
find x

As y= +ve, y is right to 0 on number line
1) distance between x and y = distance between O and y => x=0 (if x left to y) or x=2y (if x right to y)
Not sufficient

2) x is left to y
Not sufficient

1+ 2
x is left to y and distance between x and y = distance between 0 and y
=> x=0

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Re: If y is positive, what is the value of x?  [#permalink]

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22 Aug 2017, 04:22
Bunuel wrote:
If y is positive, what is the value of x?

(1) The distance between x and y on the number line is equal to the distance between y and zero
(2) On the number line, x is to the left of y

Statement 1:
- If Y = 2, then the distance between Y and 0 is 2. So, X can be 0 or 4.
- If Y = 3, then the distance between Y and 0 is 3. So, X can be 0 or 6.
INSUFFICIENT.

Statement 2.
- Clearly insufficient. Can be any numbers.
INSUFFICIENT.

Statemen 1&2.
- If X must be to the left of Y and we put this constraint to the statement 1, so the answer is only 0.
SUFFICIENT.

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Re: If y is positive, what is the value of x?  [#permalink]

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02 Jan 2018, 03:15
Question says that y is positive.
(1) Sufficient : It suggests that x has to either on right side of y or left side of y (at zero). That means two positions are there for x.
(2) Insufficient: It says that x is left of y, but do not tell anything about the distance.

(1) and (2) Sufficient : This concludes that x has to zero.

Re: If y is positive, what is the value of x?   [#permalink] 02 Jan 2018, 03:15
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