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Is x greater than 2? (You may assume y is not equal to zero.)

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Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 22 Oct 2017, 06:50
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

54% (01:22) correct 46% (00:58) wrong based on 54 sessions

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Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 22 Oct 2017, 09:00
(1) x/y >2 => x>2y, Since we don’t know whether y is integer & >0 , So cannot come to a conclusion. INSUFFICIENT

(2) 1/y<1 => y>1, We don’t know the value of x. Irrelevant . INSUFFICIENT.

Adding (1) + (2) , we get x>2 . SUFFICIENT.

Answer C.
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Re: Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 22 Oct 2017, 09:35
Bunuel wrote:
Is x greater than 2? (You may assume y is not equal to zero.)

(1) x/y is greater than 2.
(2) 1/y is less than 1.


Statement 1: \(\frac{x}{y}>2\), this implies if \(y<0\), then \(x<0\) and if \(0<y<1\) then \(x<2\) so we have a No for our question stem

but if \(y>1\), then \(x>2\), so we will have a Yes for our question stem. Hence insufficient

Statement 2: this implies that either \(y<0\) or \(y>1\) but nothing mentioned about \(x\). Insufficient

Combining 1 & 2 we don't know whether \(y\) is positive or negative. if \(y\) is positive then \(x>2\) but if \(y\) is negative then \(x<2\). Hence insufficient

Option E
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Re: Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 23 Oct 2017, 15:45
Bunuel wrote:
Is x greater than 2? (You may assume y is not equal to zero.)

(1) x/y is greater than 2.
(2) 1/y is less than 1.



(1) x/y >2 => It can be possible by number of values for x and y. so statement 1 does not give sufficient answer. So cannot come to a conclusion. INSUFFICIENT.

(2) 1/y<1 => It does not give any information about value of X. Irrelevant . INSUFFICIENT.

Adding (1) + (2) , now Y is greater than 1, so X should be greater than 2 if X/Y >2 we get x>2 . SUFFICIENT.

Answer C
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Re: Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 23 Oct 2017, 21:52
Adityagmatclub wrote:
Bunuel wrote:
Is x greater than 2? (You may assume y is not equal to zero.)

(1) x/y is greater than 2.
(2) 1/y is less than 1.



(1) x/y >2 => It can be possible by number of values for x and y. so statement 1 does not give sufficient answer. So cannot come to a conclusion. INSUFFICIENT.

(2) 1/y<1 => It does not give any information about value of X. Irrelevant . INSUFFICIENT.

Adding (1) + (2) , now Y is greater than 1, so X should be greater than 2 if X/Y >2 we get x>2 . SUFFICIENT.

Answer C


Hi Adityagmatclub & merajul

in your solution, you have assumed that \(y>0\) but the question doesn't mention that neither any of the statements

so if \(y=-1\), then \(\frac{1}{y}=-1<1\) and \(\frac{x}{y}>2\) will imply that \(x<-2\). Hence we have a NO for our question stem

but if \(y=2\), then \(\frac{1}{y}=0.5<1\) and \(\frac{x}{y}>2\) will imply \(x>4\). so we have a YES for our question stem.

Hence IMO answer should be E
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Re: Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 23 Oct 2017, 22:15
niks18 wrote:
Adityagmatclub wrote:
Bunuel wrote:
Is x greater than 2? (You may assume y is not equal to zero.)

(1) x/y is greater than 2.
(2) 1/y is less than 1.



(1) x/y >2 => It can be possible by number of values for x and y. so statement 1 does not give sufficient answer. So cannot come to a conclusion. INSUFFICIENT.

(2) 1/y<1 => It does not give any information about value of X. Irrelevant . INSUFFICIENT.

Adding (1) + (2) , now Y is greater than 1, so X should be greater than 2 if X/Y >2 we get x>2 . SUFFICIENT.

Answer C


Hi Adityagmatclub & merajul

in your solution, you have assumed that \(y>0\) but the question doesn't mention that neither any of the statements

so if \(y=-1\), then \(\frac{1}{y}=-1<1\) and \(\frac{x}{y}>2\) will imply that \(x<-2\). Hence we have a NO for our question stem

but if \(y=2\), then \(\frac{1}{y}=0.5<1\) and \(\frac{x}{y}>2\) will imply \(x>4\). so we have a YES for our question stem.

Hence IMO answer should be E


niks18

You are right. Should be E. Silly Mistake. :cry: :cry: :cry:
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Re: Is x greater than 2? (You may assume y is not equal to zero.)  [#permalink]

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New post 25 Oct 2017, 10:37
Bunuel wrote:
Is x greater than 2? (You may assume y is not equal to zero.)

(1) x/y is greater than 2.
(2) 1/y is less than 1.



From statement 1 we can deduce that x>2Y ; But we are no sure about value of Y so insufficient.

From Statement 2 we can deduce that y>1;But we are not sure about the value of x

so using both statement we can find the answer for the values of X

So answer is C
Re: Is x greater than 2? (You may assume y is not equal to zero.) &nbs [#permalink] 25 Oct 2017, 10:37
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