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Is x = y?

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Is x = y?  [#permalink]

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New post 14 Aug 2017, 06:18
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:08) correct 35% (01:07) wrong based on 143 sessions

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Re: Is x = y?  [#permalink]

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New post 14 Aug 2017, 06:37
X = -3 or 7
Y = 7 or -3
Not necessarily equal
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Re: Is x = y?  [#permalink]

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New post 14 Aug 2017, 06:39
A and B are insufficient
A = -3 or 7
Y = 7 or -3
Not necessarily equal still as x can be 7 and y be -3
E
prachi18oct wrote:
X = -3 or 7
Y = 7 or -3
Not necessarily equal
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Re: Is x = y?  [#permalink]

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New post 14 Aug 2017, 06:43
Both together not sufficient.
X=-3 or 7 and Y =-3 or7.
So E.

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Re: Is x = y?  [#permalink]

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New post 14 Aug 2017, 07:38
Bunuel wrote:
Is x = y?

(1) \(|x-2|= 5\).

(2) \(y^2-4y-21=0\).


Is x = y?

(1) \(|x-2|= 5\). Clearly insufficient as no info about \(y\). But from this statement we know that either \(x=7\) or \(x=-3\).

(2) \(y^2-4y-21=0\). Clearly insufficient as no info about \(x\). But from this statement we know that either \(y=7\) or \(y=-3\).

(1)+(2) Now, it's possible that both \(x\) and \(y\) equal to -3 (or 7) and in this case the answer would be YES: \(x=y\) BUT it's also possible \(x\) to be -3 and \(y\) to be 7 (or vise-versa) and in this case answer would be NO: \(x\neq{y}\). Two different answers to the question, hence not sufficient.

Answer: E.
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Re: Is x = y?  [#permalink]

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New post 24 Aug 2017, 13:36
Bunuel wrote:
Is x = y?

(1) \(|x-2|= 5\).

(2) \(y^2-4y-21=0\).


Statement One Alone:

|x - 2| = 5

Let’s test for each case: when (x - 2) is positive and when it is negative:

When (x - 2) is positive:

x - 2 = 5

x = 7

When (x - 2) is negative:

-(x - 2) = 5

-x + 2 = 5

-x = 3

x = -3

Since we know nothing about y, statement one alone is not sufficient to answer the question.

Statement Two Alone:

y^2 - 4y - 21 = 0

y^2 - 4y - 21 = 0

(y - 7)(y + 3) = 0

y = 7 or y = -3

Since we know nothing about x, statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using statements one and two, we know that x = 7 or -3 and y = 7 or -3, but we still cannot conclude whether x = y. If x = 7 and y = 7, then x = y, but if x = -3 and y = 7, then x ≠ y. The two statements together are still not sufficient to answer the question. .

Answer: E
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Re: Is x = y?   [#permalink] 24 Aug 2017, 13:36
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