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Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0

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

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New post 06 Feb 2017, 07:48
1
1
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:07) correct 18% (01:14) wrong based on 187 sessions

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

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New post Updated on: 10 Feb 2017, 09:02
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

Answer: A

Cheers,
Brent
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Originally posted by GMATPrepNow on 06 Feb 2017, 11:06.
Last edited by GMATPrepNow on 10 Feb 2017, 09:02, edited 1 time in total.
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Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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New post 06 Feb 2017, 12:26
1
To me answer A makes the most sense.
I also assumed that GMATPrepNow meant A, not be. Correct me if I am wrong :)
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Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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New post 07 Feb 2017, 03:33
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

Answer: B

Cheers,
Brent


Dear Brent,

There is a typo.

While you proved that statement 1 SUFFICIENT, you marked the answer B. It should be A.
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Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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New post 10 Feb 2017, 08:55
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
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Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0  [#permalink]

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New post 10 Feb 2017, 09:03
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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New post 25 Jan 2019, 06:59
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Re: Is xy > 6 ? (1) 2 ≤ x ≤ 4 , 3 < y < 5 (2) x – y = 0   [#permalink] 25 Jan 2019, 06:59
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