If x and y are prime numbers, is y(x-3) odd? (1) x> 10 : GMAT Data Sufficiency (DS)
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# If x and y are prime numbers, is y(x-3) odd? (1) x> 10

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If x and y are prime numbers, is y(x-3) odd? (1) x> 10 [#permalink]

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03 Apr 2011, 09:27
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If x and y are prime numbers, is y(x-3) odd?

(1) x> 10
(2) y< 3

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C.Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
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Re: From MitDavidDv: Data Sufficency Question [#permalink]

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03 Apr 2011, 09:34
MitDavidDv wrote:
If x and y are prime numbers, is y(x-3) odd?

(1) x> 10
(2) y< 3

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C.Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.

Q: Is y(x-3) odd OR Is y(x-3) even?

Even*Any Integer=Even

(1)x>10
x=Odd.
x-3=odd-odd=even
If (x-3) is even; (x-3)*Any integer=Even.

Thus;
y(x-3) = Definitely even.
Sufficient.

(2)y< 3
The only prime number less than 3 is 2, which is even.
Again; Even*Any integer=Even.
Thus,
y(x-3) = Definitely even.
Sufficient.

Ans: "D"
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Re: From MitDavidDv: Data Sufficency Question [#permalink]

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03 Apr 2011, 09:49
MitDavidDv wrote:
If x and y are prime numbers, is y(x-3) odd?

(1) x> 10
(2) y< 3

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C.Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.

MitDavidDv:

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

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Re: From MitDavidDv: Data Sufficency Question [#permalink]

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03 Apr 2011, 10:14
Shalom Fluke. OK, I will remember posting questions in the proper forums.
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Re: From MitDavidDv: Data Sufficency Question [#permalink]

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03 Apr 2011, 20:30
(1) says -> x> 10 and is prime, so x-3 is even, hence the product is even.

(2) says -> y< 3 and is prime, so y = 2, hence the product is even.

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Re: From MitDavidDv: Data Sufficency Question [#permalink]

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04 Apr 2011, 16:02
1. Sufficient

x>10 => x-3 even => y(x-3) is even . enough to answer the question.

2. Sufficient

y<3 =>y =2 ,as 2 in the only prime less than 3.

=> y(x-3) is even. enough to answer the question.

Re: From MitDavidDv: Data Sufficency Question   [#permalink] 04 Apr 2011, 16:02
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