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If xy = z, what is the value of x ? (1) y = 2z (2) z < -1

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Kudos [?]: 133141 [0], given: 12415

If xy = z, what is the value of x ? (1) y = 2z (2) z < -1 [#permalink]

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New post 10 Oct 2017, 00:52
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A
B
C
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E

Difficulty:

  35% (medium)

Question Stats:

47% (00:44) correct 53% (00:20) wrong based on 33 sessions

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Kudos [?]: 133141 [0], given: 12415

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Re: If xy = z, what is the value of x ? (1) y = 2z (2) z < -1 [#permalink]

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New post 10 Oct 2017, 03:28
Bunuel wrote:
If xy = z, what is the value of x ?

(1) y = 2z
(2) z < -1


xy = z, x = ?

Statement 1:
y = 2z
Substituting, x*2z = z
If z is not equal to 0, we can cancel it and x would be equal to 1/2. But, if z is equal to 0, x could be anything (still satisfying the given information xy = z). Since we do not know if z is equal to 0 or not, this statement is insufficient.

Statement 2:
z < -1
So, xy < -1
This statement does not give any information about x and is therefore insufficient.

Combining statements 1 and 2,
z < -1
So z is not equal to 0. z can be divided on both sides of x*2z = z
Therefore, x = 1/2

Answer is C.

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Re: If xy = z, what is the value of x ? (1) y = 2z (2) z < -1 [#permalink]

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New post 10 Oct 2017, 10:31
If xy = z, what is the value of x ?

(1) y = 2z
x(2z) = z
=> 2x (z) = z
But we can't cancel z here as z might be equal to zero .
Not sufficient

(2) z < -1
Not sufficient

Combining 1 and 2 , we get
x = 1/2

Answer C
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Re: If xy = z, what is the value of x ? (1) y = 2z (2) z < -1 [#permalink]

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New post 11 Oct 2017, 09:43
Given xy = z, what is x?

Question can be rewritten as x = z/y

1) y = 2z --> z/y = 1/2 --> Sufficient
2) z < - 1 --> xy < -1 --> Not Sufficient since we have no information about y.

Answer: A

Kudos [?]: 4 [0], given: 44

Re: If xy = z, what is the value of x ? (1) y = 2z (2) z < -1   [#permalink] 11 Oct 2017, 09:43
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