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Is x greater than 2? (1) x/y > 2 (2) 1/y < 1

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Is x greater than 2? (1) x/y > 2 (2) 1/y < 1  [#permalink]

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New post 04 Nov 2019, 03:10
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E

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Question Stats:

53% (01:21) correct 48% (01:07) wrong based on 80 sessions

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Re: Is x greater than 2? (1) x/y > 2 (2) 1/y < 1  [#permalink]

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New post 04 Nov 2019, 05:25
Is x greater than 2?


(1) \(\frac{x}{y} > 2\)
x=3, y=1..Yes
x=-3, y=-1...No

(2) \(\frac{1}{y} < 1\)
y<0 or y>1

Individually both statements are clearly insufficient..

Combined..
x=3, y=1..Yes
x=-3, y=-1...No
Insuff

E
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Is x greater than 2? (1) x/y > 2 (2) 1/y < 1  [#permalink]

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New post 05 Nov 2019, 16:55
Bunuel wrote:
Is x greater than 2?


(1) \(\frac{x}{y} > 2\)

(2) \(\frac{1}{y} < 1\)


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Statement 1:\(\frac{x}{y} > 2\), x and y can be +ve or -ve, i.e:\(\frac{6}{2}\) or \(\frac{-6}{-2}\).so Not Sufficient.

Statement 2: \(\frac{1}{y} < 1\), y can be +ve or -ve, i.e: \(\frac{1}{2}\)or\(\frac{1}{-2}\). Not sufficient.

Taken together the result still can vary depending on +ve or -ve signs of x and y. Not sufficient.

Answer is E.
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Is x greater than 2? (1) x/y > 2 (2) 1/y < 1  [#permalink]

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New post 30 Dec 2019, 07:50
1
is x>2?

(1) \(\frac{x}{y}>2,\)

Depending on the value of y, x would be either > 2 or < 2.
If y=1, x>2 YES
If y=2, x>4 YES
If \(y=\frac{1}{2}, x>1\) NO

(2)\( \frac{1}{y} < 1\)
There is no relationship between x and y given. As the question stem just asks a question. Insufficient.

(1) + (2)
\(\frac{x}{y}>2\) and \(\frac{1}{y}<1\)

\(\frac{1}{y}<1\) means \(y<0\) or \(y>1\)
Case 1, if y<0, say y=-1, then\( \frac{x}{y}>2, -x>2, x<2.\) NO
Case 2, if y>1, say y=2, then \(\frac{x}{y}>2; x>4, \) YES

Two different possibilities, hence insufficient.
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Is x greater than 2? (1) x/y > 2 (2) 1/y < 1   [#permalink] 30 Dec 2019, 07:50
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