text: 1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2? a)2 b)4 : Quant Question Archive [LOCKED]
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  # 1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2? a)2 b)4
  
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  1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2? a)2 b)4 [#permalink]
  
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  01 May 2006, 11:08
  This topic is locked. If you want to discuss this question please re-post it in the respective forum.
  
  1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2?
  
  a)2
  b)4
  c)8
  d)16
  e)32
  
  2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  The next one is really funny, I think is may be a misprint. But I'm not sure it GMAT Prep can have a misprint!!
  
  3) n, m are positive intergers. What is the remainder when 3^(4n+2) is divided by 10?
  
  a) n=2
  b) m=1
  
  Also guys, I notice my weak areas are inequalities and coordinate geometry. Can you please direct me to some good resources for these two areas. I have 5 days to go for the D-Day!
  Manager
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  01 May 2006, 12:18
  I got the third one on the GMATPrep too. Must be a typo or wrong answer (the OA is "D", right?).
  
  Frustrating. Hope the real GMAT doesn't have errors in it
  VP
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  01 May 2006, 14:33
  How do u solve the first one?
  Manager
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  01 May 2006, 15:26
  No way you can solve the 1st one i also got that question when i took the gmatprep it was q no 3 and obviously i had no clue what to do so just guessed something and obviously it was wrong ... i'm sure it would have changed my next question since i got that wrong .
  Manager
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  01 May 2006, 20:19
  Phew! I was worried about these. Guys, what about the second question?
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  01 May 2006, 21:25
  2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  St1:
  (x-1)^2 - 4 > 0
  (x-1+2)(x-1-2) > 0
  (x+1)(x-3) > 0
  
  x is valid for x < -1 or x > 3. Insufficient.
  
  St2:
  (x-1)^2 - 9 > 0
  (x-1+3)(x-1-3) > 0
  (x+2)(x-4) > 0
  
  x is valid for x < -2 or x > 4. Insufficient.
  
  Using St1 and St2:
  
  x is valid for x < -1 or x > 3. Insufficient.
  
  Ans E
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  01 May 2006, 21:27
  3) n, m are positive intergers. What is the remainder when 3^(4n+2) is divided by 10?
  
  a) n=2
  b) m=1
  
  3^(4n+2)/10
  
  St1: Even for us to sovle and find the remainder when divided by 10
  St2: knowing m is useless as we do not have the variable m in the equation.
  
  Ans A
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  02 May 2006, 02:11
  [quote="ywilfred"]2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  St1:
  (x-1)^2 - 4 > 0
  (x-1+2)(x-1-2) > 0
  (x+1)(x-3) >
  
  Solving the first satement you get x<-1or x>3
  The Question gives you the information that x is positive so x cant be less than -1 so x>3.
  solving second equation x<-2 or x>4
  but x cant be <-2 because x is positive so x>4
  so in my opinion each statement answers the question
  GMAT Club Legend
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  02 May 2006, 03:28
  fighter wrote:
  ywilfred wrote:
  2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  St1:
  (x-1)^2 - 4 > 0
  (x-1+2)(x-1-2) > 0
  (x+1)(x-3) >
  
  Solving the first satement you get x<-1or x>3
  The Question gives you the information that x is positive so x cant be less than -1 so x>3.
  solving second equation x<-2 or x>4
  but x cant be <-2 because x is positive so x>4
  so in my opinion each statement answers the question
  
  ah yes !! I missed the positive part. Thanks for pointing that out, your reasoning is correct.
  Manager
  Joined: 23 Mar 2006
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  02 May 2006, 03:57
  Thanks guys, OA is D.
  
  Can you please tell me exactly when the inequality sign flips? I thought it was only when both sides are multiplied or divided by a negative number. Here are are subtracting, then why are we flipping the sign
  Manager
  Joined: 20 Nov 2004
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  02 May 2006, 07:20
  ywilfred wrote:
  3) n, m are positive intergers. What is the remainder when 3^(4n+2) is divided by 10?
  St2: knowing m is useless as we do not have the variable m in the equation.
  
  Ans A
  
  Question 3):
  
  Consider the questions where they ask about the units digit of a product
  of powers.
  
  3^1 = 3 (mod 10)
  3^2 = 9 (mod 10)
  3^3 = 7 (mod 10)
  3^4 = 1 (mod 10)
  3^5 = 3 (mod 10)
  3^6 = 9 (mod 10)
  3^7 = 7 (mod 10)
  3^8 = 1 (mod 10)
  and so on.
  
  So 3^(4n+2) = 9 (mod 10), no matter what n.
  
  But it's the only question in DS I ever saw where the
  answer could be given without any of the two statements.
  This one was apparently meant to confuse us and choose A.
  Manager
  Joined: 23 Mar 2006
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  02 May 2006, 09:00
  Guys the OA for Question 3 is B! That's the surprising bit. I had marked A as well.
  Manager
  Joined: 20 Nov 2004
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  02 May 2006, 09:24
  Loner wrote:
  Guys the OA for Question 3 is B! That's the surprising bit. I had marked A as well.
  
  Well that's certainly not true, cause if n=2, the remainder can easily
  determined since no variable is left.
  02 May 2006, 09:24
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distilabel_metadata.role: system
distilabel_metadata.content: 1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2? a)2 b)4 : Quant Question Archive [LOCKED]
  Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
  
   It is currently 22 Jan 2017, 10:43
  
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  # Events & Promotions
  
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  # 1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2? a)2 b)4
  
  Author Message
  Manager
  Joined: 23 Mar 2006
  Posts: 75
  Followers: 1
  
  Kudos [?]: 1 [0], given: 0
  
  1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2? a)2 b)4 [#permalink]
  
  ### Show Tags
  
  01 May 2006, 11:08
  This topic is locked. If you want to discuss this question please re-post it in the respective forum.
  
  1) If xy=1, what is the value of 2(x+Y)^2/ 2(x-Y)^2?
  
  a)2
  b)4
  c)8
  d)16
  e)32
  
  2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  The next one is really funny, I think is may be a misprint. But I'm not sure it GMAT Prep can have a misprint!!
  
  3) n, m are positive intergers. What is the remainder when 3^(4n+2) is divided by 10?
  
  a) n=2
  b) m=1
  
  Also guys, I notice my weak areas are inequalities and coordinate geometry. Can you please direct me to some good resources for these two areas. I have 5 days to go for the D-Day!
  Manager
  Joined: 23 Jan 2006
  Posts: 192
  Followers: 1
  
  Kudos [?]: 26 [0], given: 0
  
  ### Show Tags
  
  01 May 2006, 12:18
  I got the third one on the GMATPrep too. Must be a typo or wrong answer (the OA is "D", right?).
  
  Frustrating. Hope the real GMAT doesn't have errors in it
  VP
  Joined: 29 Apr 2003
  Posts: 1403
  Followers: 2
  
  Kudos [?]: 28 [0], given: 0
  
  ### Show Tags
  
  01 May 2006, 14:33
  How do u solve the first one?
  Manager
  Joined: 13 Dec 2005
  Posts: 224
  Location: Milwaukee,WI
  Followers: 1
  
  Kudos [?]: 8 [0], given: 0
  
  ### Show Tags
  
  01 May 2006, 15:26
  No way you can solve the 1st one i also got that question when i took the gmatprep it was q no 3 and obviously i had no clue what to do so just guessed something and obviously it was wrong ... i'm sure it would have changed my next question since i got that wrong .
  Manager
  Joined: 23 Mar 2006
  Posts: 75
  Followers: 1
  
  Kudos [?]: 1 [0], given: 0
  
  ### Show Tags
  
  01 May 2006, 20:19
  Phew! I was worried about these. Guys, what about the second question?
  GMAT Club Legend
  Joined: 07 Jul 2004
  Posts: 5062
  Location: Singapore
  Followers: 30
  
  Kudos [?]: 358 [0], given: 0
  
  ### Show Tags
  
  01 May 2006, 21:25
  2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  St1:
  (x-1)^2 - 4 > 0
  (x-1+2)(x-1-2) > 0
  (x+1)(x-3) > 0
  
  x is valid for x < -1 or x > 3. Insufficient.
  
  St2:
  (x-1)^2 - 9 > 0
  (x-1+3)(x-1-3) > 0
  (x+2)(x-4) > 0
  
  x is valid for x < -2 or x > 4. Insufficient.
  
  Using St1 and St2:
  
  x is valid for x < -1 or x > 3. Insufficient.
  
  Ans E
  GMAT Club Legend
  Joined: 07 Jul 2004
  Posts: 5062
  Location: Singapore
  Followers: 30
  
  Kudos [?]: 358 [0], given: 0
  
  ### Show Tags
  
  01 May 2006, 21:27
  3) n, m are positive intergers. What is the remainder when 3^(4n+2) is divided by 10?
  
  a) n=2
  b) m=1
  
  3^(4n+2)/10
  
  St1: Even for us to sovle and find the remainder when divided by 10
  St2: knowing m is useless as we do not have the variable m in the equation.
  
  Ans A
  Intern
  Joined: 14 Apr 2006
  Posts: 16
  Location: london
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  02 May 2006, 02:11
  [quote="ywilfred"]2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  St1:
  (x-1)^2 - 4 > 0
  (x-1+2)(x-1-2) > 0
  (x+1)(x-3) >
  
  Solving the first satement you get x<-1or x>3
  The Question gives you the information that x is positive so x cant be less than -1 so x>3.
  solving second equation x<-2 or x>4
  but x cant be <-2 because x is positive so x>4
  so in my opinion each statement answers the question
  GMAT Club Legend
  Joined: 07 Jul 2004
  Posts: 5062
  Location: Singapore
  Followers: 30
  
  Kudos [?]: 358 [0], given: 0
  
  ### Show Tags
  
  02 May 2006, 03:28
  fighter wrote:
  ywilfred wrote:
  2) If x is positive, is x>3?
  
  a) (x-1)^2>4
  b) (x-1)^2>9
  
  St1:
  (x-1)^2 - 4 > 0
  (x-1+2)(x-1-2) > 0
  (x+1)(x-3) >
  
  Solving the first satement you get x<-1or x>3
  The Question gives you the information that x is positive so x cant be less than -1 so x>3.
  solving second equation x<-2 or x>4
  but x cant be <-2 because x is positive so x>4
  so in my opinion each statement answers the question
  
  ah yes !! I missed the positive part. Thanks for pointing that out, your reasoning is correct.
  Manager
  Joined: 23 Mar 2006
  Posts: 75
  Followers: 1
  
  Kudos [?]: 1 [0], given: 0
  
  ### Show Tags
  
  02 May 2006, 03:57
  Thanks guys, OA is D.
  
  Can you please tell me exactly when the inequality sign flips? I thought it was only when both sides are multiplied or divided by a negative number. Here are are subtracting, then why are we flipping the sign
  Manager
  Joined: 20 Nov 2004
  Posts: 108
  Followers: 0
  
  Kudos [?]: 3 [0], given: 0
  
  ### Show Tags
  
  02 May 2006, 07:20
  ywilfred wrote:
  3) n, m are positive intergers. What is the remainder when 3^(4n+2) is divided by 10?
  St2: knowing m is useless as we do not have the variable m in the equation.
  
  Ans A
  
  Question 3):
  
  Consider the questions where they ask about the units digit of a product
  of powers.
  
  3^1 = 3 (mod 10)
  3^2 = 9 (mod 10)
  3^3 = 7 (mod 10)
  3^4 = 1 (mod 10)
  3^5 = 3 (mod 10)
  3^6 = 9 (mod 10)
  3^7 = 7 (mod 10)
  3^8 = 1 (mod 10)
  and so on.
  
  So 3^(4n+2) = 9 (mod 10), no matter what n.
  
  But it's the only question in DS I ever saw where the
  answer could be given without any of the two statements.
  This one was apparently meant to confuse us and choose A.
  Manager
  Joined: 23 Mar 2006
  Posts: 75
  Followers: 1
  
  Kudos [?]: 1 [0], given: 0
  
  ### Show Tags
  
  02 May 2006, 09:00
  Guys the OA for Question 3 is B! That's the surprising bit. I had marked A as well.
  Manager
  Joined: 20 Nov 2004
  Posts: 108
  Followers: 0
  
  Kudos [?]: 3 [0], given: 0
  
  ### Show Tags
  
  02 May 2006, 09:24
  Loner wrote:
  Guys the OA for Question 3 is B! That's the surprising bit. I had marked A as well.
  
  Well that's certainly not true, cause if n=2, the remainder can easily
  determined since no variable is left.
  02 May 2006, 09:24
  Display posts from previous: Sort by
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text contains three math questions from a GMAT preparation source. Here's a brief evaluation:
  
  1. **Question 1**: The text presents a math problem asking for the value of \(2(x+y)^2 / 2(x-y)^2\) given that \(xy = 1\). The options provided are a) 2, b) 4, c) 8, d) 16, e) 32. The text does not provide an answer to this question.
  
  2. **Question 2**: The text presents a data sufficiency problem asking if \(x > 3\) given that \(x\) is positive. The statements provided are:
     - a) \((x-1)^2 > 4\)
     - b) \((x-1)^2 > 9\)
     The text does not provide an answer to this question.
  
  3. **Question 3**: The text presents a data sufficiency problem asking for the remainder when \(3^{4n+2}\) is divided by 10. The statements provided are:
     - a) \(n = 2\)
     - b) \(m = 1\)
     The text mentions that the OA (Official Answer