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# If x/y > 2, is 3x + 2y < 18 ? (1) x-y is less than 2

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1259

Kudos [?]: 336 [0], given: 0

If x/y > 2, is 3x + 2y < 18 ? (1) x-y is less than 2 [#permalink]

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20 Apr 2007, 07:54
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Question Stats:

100% (02:33) correct 0% (00:00) wrong based on 1 sessions

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If x/y > 2, is 3x + 2y < 18 ?

(1) x-y is less than 2

(2) y-x is is less than 2

Kudos [?]: 336 [0], given: 0

Manager
Joined: 20 Nov 2006
Posts: 213

Kudos [?]: 18 [0], given: 0

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20 Apr 2007, 10:47

If x = 10, y = 11 :: x=1, y = 2

then
1. x-y=-1<2 - not sufficient
2. y-x=1<2 - not sufficient

Taking together not sufficient to answer the question

Kudos [?]: 18 [0], given: 0

Director
Joined: 14 Jan 2007
Posts: 775

Kudos [?]: 175 [1], given: 0

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21 Apr 2007, 05:54
1
KUDOS
Stem says x/y > 2, that means x and y both +ve or both -ve

Statement1:
x-y < 2
let x and y both be +ve =====> x > 2y . put it in x - y < 2
2y-y < 2 ====> y < 2
3x+2y = 3(x-y) + 5y
x-y < 2 so 3(x-y) will be < 6
y< 2 so 5y will be < 10
hence 3x+2y will be < 18

let x and y both be -ve
3x+2y will be -ve
hence 3x+2y will be < 18

So statement1 is SUFF

Statement2:
y-x <2

3x+2y = 2(y-x) + 5y

let x and y both be +ve. x=14, y =6 ===> 3x+2y = 54
x = 3, y =1.4 ===> 3x+2y = 11.8
Hence INSUFF

Kudos [?]: 175 [1], given: 0

21 Apr 2007, 05:54
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