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Math Expert V
Joined: 02 Sep 2009
Posts: 62286
Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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Difficulty:   5% (low)

Question Stats: 82% (01:07) correct 18% (01:12) wrong based on 196 sessions

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Is xy > 6 ?

(1) 2 ≤ x ≤ 4 , 3 < y < 5
(2) x – y = 0

_________________
Intern  B
Joined: 02 Dec 2015
Posts: 9
Location: Denmark
GMAT 1: 690 Q49 V35
GPA: 3
Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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1
To me answer A makes the most sense.
I also assumed that GMATPrepNow meant A, not be. Correct me if I am wrong SVP  V
Joined: 26 Mar 2013
Posts: 2361
Concentration: Operations, Strategy
Schools: Erasmus RSM "22
Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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1
GMATPrepNow wrote:
Bunuel wrote:
Is xy > 6 ?

(1) 2 ≤ x ≤ 4 , 3 < y < 5
(2) x – y = 0

Target question: Is xy > 6 ?

Statement 1: 2 ≤ x ≤ 4 , 3 < y < 5
The LEAST possible value of x is 2.
If it were possible for y to equal 3, then xy = (2)(3) = 6
However, it is NOT possible for y to equal 3, since the statement tells us that y is GREATER THAN 3.
So, the least possible value of xy must be greater than 6.
So, we can be certain that xy > 6
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x – y = 0
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 3 and y = 3, in which case xy = (3)(3) = 9. In this case, xy IS greater than 6
Case b: x = 1 and y = 1, in which case xy = (1)(1) = 1. In this case, xy is NOT greater than 6
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent

Dear Brent,

There is a typo.

While you proved that statement 1 SUFFICIENT, you marked the answer B. It should be A.
GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4540
GMAT 1: 770 Q49 V46
Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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Top Contributor
Bunuel wrote:
Is xy > 6 ?

(1) 2 ≤ x ≤ 4 , 3 < y < 5
(2) x – y = 0

Target question: Is xy > 6 ?

Statement 1: 2 ≤ x ≤ 4 , 3 < y < 5
The LEAST possible value of x is 2.
If it were possible for y to equal 3, then xy = (2)(3) = 6
However, it is NOT possible for y to equal 3, since the statement tells us that y is GREATER THAN 3.
So, the least possible value of xy must be greater than 6.
So, we can be certain that xy > 6
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x – y = 0
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 3 and y = 3, in which case xy = (3)(3) = 9. In this case, xy IS greater than 6
Case b: x = 1 and y = 1, in which case xy = (1)(1) = 1. In this case, xy is NOT greater than 6
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Cheers,
Brent
_________________

Originally posted by GMATPrepNow on 06 Feb 2017, 10:06.
Last edited by GMATPrepNow on 10 Feb 2017, 08:02, edited 1 time in total.
Manager  G
Joined: 29 Oct 2016
Posts: 199
Concentration: Finance, Economics
GMAT 1: 620 Q50 V24
GRE 1: Q167 V147
Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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Bunuel wrote:
Is xy > 6 ?

(1) 2 ≤ x ≤ 4 , 3 < y < 5
(2) x – y = 0

Should be A

(1) the least value of x is 2.We know that y is greater than 3;hence xy is for sure greater than 6 : SUFFICIENT
(2) x=y;xy could be from x=y=2 or x=y=3 : INSUFFICIENT
GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4540
GMAT 1: 770 Q49 V46
Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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Top Contributor
Xavipersonal wrote:
To me answer A makes the most sense.
I also assumed that GMATPrepNow meant A, not be. Correct me if I am wrong Thanks for pointing that out. I have changed B to A

Cheers,
Brent
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Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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_________________ Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0   [#permalink] 25 Jan 2019, 05:59
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