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# If xy is less than 3, is x less than 1 ?

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Director
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If xy is less than 3, is x less than 1 ? [#permalink]

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21 Mar 2008, 23:33
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Difficulty:

5% (low)

Question Stats:

87% (01:47) correct 13% (01:24) wrong based on 103 sessions

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If xy is less than 3, is x less than 1 ?

(1) y is greater than 3
(2) x is less than 3
[Reveal] Spoiler: OA

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SVP
Joined: 04 May 2006
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Re: DS XY<3 [#permalink]

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21 Mar 2008, 23:46
A.

1. y>3, y = 999999
x <1/999999 -->x<1 sufficient

2. x< 3
2.1 x =0, x<1 correct
2.2 x= 2, x>1 not correct

insufficient
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Re: If xy < 3, is x < 1? 1) y > 3 2) x < 3 [#permalink]

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12 Dec 2013, 18:33
prasannar wrote:
If xy < 3, is x < 1?

1) y > 3

2) x < 3

Alright, let me give a shot at this one

Statement 1

y>3
xy<3

y-xy>0
y(x-1)>0

As y>3>0, then x-1>0 and x>1

Suff

Statement 2

Insuff

Hence A

Hope it helps
Cheers!
J
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Re: If xy < 3, is x < 1? 1) y > 3 2) x < 3 [#permalink]

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12 Dec 2013, 23:06
prasannar wrote:
If xy < 3, is x < 1?

1) y > 3

2) x < 3

Statement I is sufficient:

If y is greater than 3 then x has to be less than 1 for the product to be less than 3. x can be a negative number or a positive fraction.

Statement II is insufficient
x = 1.5 y = 1.5 ------ NO
x = 0.5 y = 1.5 ------- YES

Since x can be greater than 1 or less than 1 hence we are not sure.

Answer is A.

Pushpinder Gill
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Re: If xy is less than 3, is x less than 1 ? [#permalink]

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13 Dec 2013, 03:17
prasannar wrote:
If xy is less than 3, is x less than 1 ?

(1) y is greater than 3
(2) x is less than 3

Similar question to practice: if-xy-4-is-x-2-1-y-1-2-y-x-129251.html
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Re: If xy is less than 3, is x less than 1 ?   [#permalink] 13 Dec 2013, 03:17
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# If xy is less than 3, is x less than 1 ?

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