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inequalities

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by beater » Mon Mar 23, 2009 9:00 am
If x and y are positive, is 4x > 3y?
(1) x > y - x
(2) x/y < 1
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Source: — Data Sufficiency |
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by goelmohit2002 » Mon Mar 23, 2009 11:08 am
is it "E" ?
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by parichit » Mon Mar 23, 2009 9:40 pm
The answer will be D

As all we have to see is whether X/Y>3/4( we can do this because both x and y are postive

A) 2x>y sufficient
B)x/y<1 sufficent

Pls give the OA B-)
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by sumitkhurana » Mon Mar 23, 2009 9:56 pm
IMO E.

We need to find if x > .75y

1) x > .5y -- But we don't know if it is greater than .75 y, insufficient.

2) x < y. But we don't know how less -- insufficient.

1 + 2.

.5y < x < y -- insufficient.

Answer E.
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Re: inequalities

by sanjay_dce » Tue Mar 24, 2009 9:30 am
beater wrote:If x and y are positive, is 4x > 3y?
(1) x > y - x
(2) x/y < 1
from stmt1 2x>y or 4x>2y ( we dont know whether 4x>3y)
from stmt2 since x and y ar +ve its safe to multiply y on both sides of inequality hence we know x<y or -x>-y

using both 1 and 2
we know that 3x>y ( still we dont know if 4x > 3y)

hence no doubt the ans is E
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by sacx » Tue Mar 24, 2009 11:40 am
is 4x-3y>0?

I. x>y-x
= 2x>y
= 4x>2y

2y-3y>0
-y >0
or
y < 0

but in the question stem it is given y is postive

Insufficient

II. x/y < 1

x<y

if x = 1, y = 3, then 4x-3y is negative
if x = 1/4, y = 1/3, then 4x-3y = 0

Insufficient

I and II taken together are insufficient

Hence E
SACX
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