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# If y = −1/2, is 2x/y > 1?

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If y = −1/2, is 2x/y > 1?  [#permalink]

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08 Feb 2017, 01:48
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45% (medium)

Question Stats:

63% (01:18) correct 37% (01:13) wrong based on 85 sessions

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If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

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Re: If y = −1/2, is 2x/y > 1?  [#permalink]

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08 Feb 2017, 03:18
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

2x/y = 2x/(-1/2) = -4x => is -4x >1 ?

St I
x < 0
if x = -1; -4x = 4 >1
if x = -1/8; -4x = 1/2 <1 -----------Insufficient

St II
x is an Integer
if x = -1; -4x = 4 >1
if x = 1; -4x = -4 <1 -----------Insufficient

St I and II
x < 0 and x is an Integer
if x=-1; -4x=4 >1
if x=-2; -4x=8 >1
if x=-100; -4x=400 >1

Hence Option C is correct.
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If y = −1/2, is 2x/y > 1?  [#permalink]

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08 Feb 2017, 10:50
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

Using y, question is is -4x>1?

1) x<0. x could be -0.1, in which case -4x<1. Or, x could be -1, in which case -4x>1. Not suff.
2) Clearly insuff.

1)&2) Greatest value x can be is -1, in which case -4x>1. Suff. C
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Re: If y = −1/2, is 2x/y > 1?  [#permalink]

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09 Feb 2017, 00:17
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

2x/y = -4x

-4x > 1 (we need to prove).

1. x <0 ..
a. -4 * -1/8 = 0.5(No)
b.-4 * -1 = 4(yes)
Not suff.

2. x is an integer , so may be -ve or +ve ..not suff

combining 1 and 2 ..
the smallest number that we can get is -4 * -1 =4 ...so suff...
Hence C.
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Re: If y = −1/2, is 2x/y > 1?  [#permalink]

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09 Feb 2017, 04:41
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

By Testing the values

(1) x<0

If x=-1/2

than 2x/y > 1==>2--Yes

If x=-1/10

than 2x/y > 1==>0.4--No

1) is not suff

2)x is an integer

If x=10 than 2x/y > 1--gives -ve so ans is no

If x=-10 than 2x/y > 1--gives +ve so ans is yes

2)is not suff

Using 1 and 2

We get 2x/y > 1--yes

Hence C
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Re: If y = −1/2, is 2x/y > 1?  [#permalink]

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13 Feb 2017, 08:43
1
Bunuel wrote:
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

We are given that y = -1/2 and we need to determine whether 2x/y > 1.

Substituting -1/2 for y, we have:

Is 2x/(-1/2) > 1 ?

Is -4x > 1 ?

Is x < -1/4 ?

Statement One Alone:

x < 0

Although we know that x is less than zero, we still cannot determine whether it’s less than -1/4. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

x is an integer.

Since there are positive and negative integers and zero, statement two alone is not sufficient to determine whether x is less than -1/4.

Statements One and Two Together:

Using the information from statements one and two, we know that x is less than zero and that x is an integer. Thus, x ≤ -1, and must be less than -1/4.

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Re: If y = −1/2, is 2x/y > 1?  [#permalink]

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08 Apr 2018, 07:39
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Re: If y = −1/2, is 2x/y > 1?   [#permalink] 08 Apr 2018, 07:39
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