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What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1

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Math Expert
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Joined: 02 Sep 2009
Posts: 51218
What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1  [#permalink]

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New post 23 Sep 2018, 20:30
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:19) correct 33% (00:53) wrong based on 89 sessions

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Joined: 11 Apr 2018
Posts: 21
Concentration: Entrepreneurship
Re: What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1  [#permalink]

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New post 24 Sep 2018, 20:05
1) y = x + 1
Not sufficient

(2) y = x^2 + 1
Not Sufficient

combining both 1 and 2
X+1=X^2+1
X(X-1)=0
X=0,X=1
If X=0 then XY=0,but If X=1 then XY=Y clearly not sufficient
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Re: What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1  [#permalink]

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New post 25 Sep 2018, 22:40
Bunuel wrote:
What is the value of xy?


(1) y = x + 1

(2) y = x^2 + 1


Question: What is the value of xy?

Statement 1: \(y = x + 1\)

x and y both are unknown hence
NOT SUFFICIENT

Statement 2: \(y = x^2 + 1\)

x and y both are unknown hence
NOT SUFFICIENT

Combining the two statements

\(y = x+1 = x^2 + 1\)

i.e. \(x = x^2\)
i.e. \(x = 0\) and \(y = 1\) or \(x = 1\) and \(y = 2\)
i.e. \(xy = 0\) or \(xy = 2\)

NOT SUFFICIENT

Answer: Option E
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Re: What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1 &nbs [#permalink] 25 Sep 2018, 22:40
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