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If x and y are integers and xy2 is a positive odd integer,
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05 Mar 2008, 04:05
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16. If x and y are integers and xy2 is a positive odd integer, which of the following must be true? Ⅰ. xy is positive. Ⅱ. xy is odd. Ⅲ. x + y is even. (A) Ⅰ only (B) Ⅱ only (C) Ⅲ only (D) Ⅰ and Ⅱ (E) Ⅱ and Ⅲ Care to explain? == Message from the GMAT Club Team == THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION. This discussion does not meet community quality standards. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.
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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 07:47
jimmylow wrote: Care to explain? maybe you could first explain what you mean by xy2? is it (x*y)^2?



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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 07:51
jimmylow wrote: 16. If x and y are integers and xy2 is a positive odd integer, which of the following must be true? Ⅰ. xy is positive. Ⅱ. xy is odd. Ⅲ. x + y is even. (A) Ⅰ only (B) Ⅱ only (C) Ⅲ only (D) Ⅰ and Ⅱ (E) Ⅱ and Ⅲ
Care to explain? if xy2 = xy^2, I, II and III. if xy2 = (xy)^2, II and III.
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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 08:11
maratikus wrote: jimmylow wrote: Care to explain? maybe you could first explain what you mean by xy2? is it (x*y)^2? My apology. It should read x * y^2
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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 08:12
GMAT TIGER wrote: jimmylow wrote: 16. If x and y are integers and xy2 is a positive odd integer, which of the following must be true? Ⅰ. xy is positive. Ⅱ. xy is odd. Ⅲ. x + y is even. (A) Ⅰ only (B) Ⅱ only (C) Ⅲ only (D) Ⅰ and Ⅱ (E) Ⅱ and Ⅲ
Care to explain? if xy2 = xy^2, I, II and III. if xy2 = (xy)^2, II and III. Tiger, pls explain this  if xy2 = xy^2, I, II and III.
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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 08:21
jimmylow wrote: 16. If x and y are integers and xy2 is a positive odd integer, which of the following must be true? Ⅰ. xy is positive. Ⅱ. xy is odd. Ⅲ. x + y is even. (A) Ⅰ only (B) Ⅱ only (C) Ⅲ only (D) Ⅰ and Ⅱ (E) Ⅱ and Ⅲ
Care to explain? since x*y^2 is positive odd > x is odd, x is positive, y is odd I is not always true: (x,y) = (1,1) and (1,1) II is true because both numbers are odd III is true because both numbers are odd E



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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 09:15
jimmylow wrote: GMAT TIGER wrote: jimmylow wrote: 16. If x and y are integers and xy2 is a positive odd integer, which of the following must be true?Ⅰ. xy is positive.Ⅱ. xy is odd.Ⅲ. x + y is even.
(A) Ⅰ only (B) Ⅱ only (C) Ⅲ only (D) Ⅰ and Ⅱ (E) Ⅱ and ⅢCare to explain? if xy2 = xy^2, I, II and III.if xy2 = (xy)^2, II and III. Tiger, pls explain this  if xy2 = xy^2, I, II and III. I. agree with above. II. Since x and y are integers and xy^2 is a positive odd integer, xy must be an odd integer. Since xy^2 is an odd integer, if either or x or y is even, xy^2 cannot be odd. III. Since x and y are integers and xy^2 is a positive odd integer, (x+y) must be an even intger. from II, we know x and y both are odd integer. sum of two odd integer is even. So II, III.
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Re: 1000PS: Section 2 Question 16
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05 Mar 2008, 11:46
maratikus wrote: jimmylow wrote: 16. If x and y are integers and xy2 is a positive odd integer, which of the following must be true? Ⅰ. xy is positive. Ⅱ. xy is odd. Ⅲ. x + y is even. (A) Ⅰ only (B) Ⅱ only (C) Ⅲ only (D) Ⅰ and Ⅱ (E) Ⅱ and Ⅲ
Care to explain? since x*y^2 is positive odd > x is odd, x is positive, y is odd I is not always true: (x,y) = (1,1) and (1,1) II is true because both numbers are odd III is true because both numbers are odd E First take a look at what is given. from xy^2 >0 and being prime we know that X and Y have to be both odd. from here: Ⅰ. xy is positive. y can be + or  Ⅱ. xy is odd. Odd x Odd = Odd Ⅲ. x + y is even odd +odd = even E!! == Message from the GMAT Club Team == THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION. This discussion does not meet community quality standards. It has been retired. If you would like to discuss this question please repost it in the respective forum. Thank you! To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative  Verbal Please note  we may remove posts that do not follow our posting guidelines. Thank you.



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Re: If x and y are integers and xy2 is a positive odd integer,
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17 Sep 2018, 01:37
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Re: If x and y are integers and xy2 is a positive odd integer,
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