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# X and Y are prime integers. What is |X-Y|? X + Y is a prime

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X and Y are prime integers. What is |X-Y|? X + Y is a prime [#permalink]  14 Jan 2009, 17:54
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X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.
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Joined: 29 Aug 2007
Posts: 2496
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Kudos [?]: 564 [0], given: 19

Re: DS: Prime Integers [#permalink]  14 Jan 2009, 19:35
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

1: x and y could be any prime. so insuff.
2: x could eb 2 or 3 and so does y. insuff.

togather: if x is 2, y is 3 and vice versa. no matter the value of x and y, lx-yl is always 1.

So C.
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Joined: 02 Aug 2007
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Re: DS: Prime Integers [#permalink]  14 Jan 2009, 20:47
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

Good one, I am assuming x and y are different integers.

stat 1:
2 - 5 = |-3| = 3
5 - 2 = 3

2 + 11 = 13
2 - 11 = |-9| = 9

insufficient

stat 2:
2 - 3 = |-1| = 1
3 - 2 = 1
sufficient.

Therefore B.
Senior Manager
Joined: 02 Nov 2008
Posts: 283
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Re: DS: Prime Integers [#permalink]  14 Jan 2009, 21:12
x-ALI-x wrote:
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

Good one, I am assuming x and y are different integers.

stat 1:
2 - 5 = |-3| = 3
5 - 2 = 3

2 + 11 = 13
2 - 11 = |-9| = 9

insufficient

stat 2:
2 - 3 = |-1| = 1
3 - 2 = 1
sufficient.

Therefore B.

I also think it's B.
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Re: DS: Prime Integers [#permalink]  15 Jan 2009, 00:40
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

The original statement says that X & Y are prime integers.

Statement 1 says that X+Y is a prime integer. This statement is not sufficient because 2+3=5 (satisfies the statement) also 5+2=7 (satisfies the statement). There is no definite answer using this statement. So, its insufficient.

Statement 2 says that X & Y are less than 5. The only prime numbers less than 5 are 2 & 3. So, the define answer for |X-Y| = 1. So, its sufficient.

Answer is B
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Re: DS: Prime Integers [#permalink]  15 Jan 2009, 06:13
1
This post received
KUDOS
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

In 2: It is not clear that whether x and y are different or same.
there are 4 possibilities:
x=y = 2
x=y = 3
x = 2 and y = 3
x = 3 and y = 2

so B cannot be it.
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Intern
Joined: 05 Jan 2009
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Re: DS: Prime Integers [#permalink]  15 Jan 2009, 08:04
I agree with Gmat Tiger, nobody said that x and y were different prime integers,
so i choose C
Intern
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Re: DS: Prime Integers [#permalink]  15 Jan 2009, 08:09
GMAT TIGER wrote:
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

In 2: It is not clear that whether x and y are different or same.
there are 4 possibilities:
x=y = 2
x=y = 3
x = 2 and y = 3
x = 3 and y = 2

so B cannot be it.

Cool !!! I agree. Didn't think abt that. Is C the OA?
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Re: DS: Prime Integers [#permalink]  15 Jan 2009, 10:21
Yup. The OA is C!

This was tricky since most people think that X and Y Are different numbers.
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Re: DS: Prime Integers [#permalink]  15 Jan 2009, 13:45
GMAT TIGER wrote:
bigfernhead wrote:
X and Y are prime integers. What is |X-Y|?

X + Y is a prime integer
Both X and Y are less than 5

I thought this one was tricky.

In 2: It is not clear that whether x and y are different or same.
there are 4 possibilities:
x=y = 2
x=y = 3
x = 2 and y = 3
x = 3 and y = 2

so B cannot be it.

I retract my initial answer and agree with the above explanation. I made an unwarranted assumption thinking X & Y MUST be different prime #'s.
Re: DS: Prime Integers   [#permalink] 15 Jan 2009, 13:45
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# X and Y are prime integers. What is |X-Y|? X + Y is a prime

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