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x and y are consecutive integers such that x > y. What is the absolute

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x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post 07 Mar 2016, 11:08
1
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (01:17) correct 44% (01:08) wrong based on 189 sessions

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x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post Updated on: 08 Mar 2016, 17:36
1
Editing my solution:

St1: xy = 20 --> We get only one consecutive pair 4 and 5. Since x > y, x = 5 and y = 4 or x = -4 and y =-5. We have two values for the absolute value of y. --> Not Sufficient

St2: x is prime --> x = 2, y = 1 or x = 3, y = 2 --> Not sufficient

Combining St1 and St2,
x is prime. So, x = 5 and y = 4.

Answer: C

Originally posted by Vyshak on 07 Mar 2016, 13:04.
Last edited by Vyshak on 08 Mar 2016, 17:36, edited 1 time in total.
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Re: x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post 08 Mar 2016, 13:07
1
Vyshak wrote:
St1: xy = 20 --> We get only one consecutive pair 4 and 5. Since x > y, x = 5 and y = 4 --> Sufficient

St2: x is prime --> x = 2, y = 1 or x = 3, y = 2 --> Not sufficient

Answer: A


I think x and y can be -4 and -5 and x can be -4 which is greater than -5 ---> not sufficient
When you combine both scenarios, absolute value of y will be 4.

Answer: C
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Re: x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post 08 Mar 2016, 17:38
mosurok wrote:
Vyshak wrote:
St1: xy = 20 --> We get only one consecutive pair 4 and 5. Since x > y, x = 5 and y = 4 --> Sufficient

St2: x is prime --> x = 2, y = 1 or x = 3, y = 2 --> Not sufficient

Answer: A


I think x and y can be -4 and -5 and x can be -4 which is greater than -5 ---> not sufficient
When you combine both scenarios, absolute value of y will be 4.

Answer: C


Kudos for pointing the error. I have edited my solution.
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Re: x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post 09 Mar 2016, 02:41
Bunuel wrote:
x and y are consecutive integers such that x > y. What is the absolute value of y?

(1) The product xy is 20.

(2) x is a prime number.


NOTE: Negative numbers are not prime since they would have more than 2 factors.
Eg: - 3 will have 4 factors: -3, -1, 1, 3

Absolute value of y means |y| or simply the positive value of the number


Statement 1: xy = 20
Case 1: x = 5 and y = 4
Case 2: x = -4 and y = -5

INSUFFICIENT

Statement 2: x is a prime number
Clearly insufficient as nothing is known about y

INSUFFICIENT

Combining Statement 1 and Statement 2:
xy = 20 and x is prime
Hence y has to 4

SUFFICIENT

Option C
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Re: x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post 26 Jun 2018, 06:19
We need to find the absolute value of y.
St 1 - NS (What if the numbers are negative !)
St 2 - NS (x could be 3 or 2 !)

Both -> Sufficient

Option C it is !
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Re: x and y are consecutive integers such that x > y. What is the absolute  [#permalink]

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New post 26 Jun 2018, 10:21
TeamGMATIFY wrote:
Bunuel wrote:
x and y are consecutive integers such that x > y. What is the absolute value of y?

(1) The product xy is 20.

(2) x is a prime number.


NOTE: Negative numbers are not prime since they would have more than 2 factors.
Eg: - 3 will have 4 factors: -3, -1, 1, 3

Absolute value of y means |y| or simply the positive value of the number


Statement 1: xy = 20
Case 1: x = 5 and y = 4
Case 2: x = -4 and y = -5

INSUFFICIENT

Statement 2: x is a prime number
Clearly insufficient as nothing is known about y

INSUFFICIENT

Combining Statement 1 and Statement 2:
xy = 20 and x is prime
Hence y has to 4

SUFFICIENT

Option C

I got this wrong because for some reason I assumed consecutive numbers have to follow the number line direction originating from 0. So > 0 then 1, 2, 3 and so and and < 0 -1, -2, -3 and so on.
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Re: x and y are consecutive integers such that x > y. What is the absolute &nbs [#permalink] 26 Jun 2018, 10:21
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