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Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1

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Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1 [#permalink] New post 22 Aug 2007, 18:30
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C
D
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Are x and y both positive?

(1) 2x - 2y = 1

(2) x/y > 1


--------
Please, explain your answer. Thank you.
Manager
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Re: DS [#permalink] New post 22 Aug 2007, 18:52
Could you please explain how you arrived to answer C? Thank you.



Fistail wrote:
TriColor wrote:
Are x and y both positive?

(1) 2x - 2y = 1

(2) x/y > 1



C. E is a good trap.
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Re: DS [#permalink] New post 22 Aug 2007, 18:54
TriColor wrote:
Could you please explain how you arrived to answer C? Thank you.



Fistail wrote:
TriColor wrote:
Are x and y both positive?

(1) 2x - 2y = 1

(2) x/y > 1



C. E is a good trap.


Form 1st we know that x >y and from 2nd both should be +ve... if x > y and x/y >1
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Re: DS [#permalink] New post 22 Aug 2007, 19:09
Could you check my logic? Thank you.

From 1st: We know x > y , because by rearranging x = 1/2 + y.

From 2nd: We know that both x and y have same signs. Either both positives or both negatives, where /x/ > /y/ so that x/y > 1

1st and 2nd together: x and y are positives because x needs to be the bigger one of both.



chiya wrote:
TriColor wrote:
Could you please explain how you arrived to answer C? Thank you.



Fistail wrote:
TriColor wrote:
Are x and y both positive?

(1) 2x - 2y = 1

(2) x/y > 1



C. E is a good trap.


Form 1st we know that x >y and from 2nd both should be +ve... if x > y and x/y >1
Manager
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 [#permalink] New post 22 Aug 2007, 19:49
Tricolor- Is the answer to this question C or E?

Because I am coming up with E as the answer.

Reason being

Option A 2x - 2y = 1
x-y = 0.5

Option B x/y>1 or x>y


There are 2 possible scenarios for X and Y that satisfy this equation

scenario 1 when X = 3.5 , and y = 3., in which case X>y
scenario 2 when X = -3 and y = -3.5

X- y = -3 - ( -3.5) = 3.5 - 3 = 0.5 , in which case X > y

So X and Y both could be positive or X and Y both could be negative , but in either scenarios x has to be greater than y

What am I missing here, help?
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 [#permalink] New post 22 Aug 2007, 20:05
Hey Sumithra,

Answer is C.

From 1st Statement: X > Y

From 2nd Statement:
You cannot conclude that X > Y because Y could be a negative number. In this case, the inequality sign needs to be reversed. So, all we know with this statement is that both (X and Y) have same signs. Another information is that the absolute value of /x/ is greater than the absolute value of /y/ so that x/y > 1.

From 1st and 2nd statement:
We know "X>Y' and "both X and Y are positives."

NB:
Your plugged in numbers X = -3 and Y = -3.5 do not satisfy the 2nd statement that x/y > 1. (-3)/(-3.5) = something less than 1. Hope this helps.




Sumithra Sen wrote:
Tricolor- Is the answer to this question C or E?

Because I am coming up with E as the answer.

Reason being

Option A 2x - 2y = 1
x-y = 0.5

Option B x/y>1 or x>y


There are 2 possible scenarios for X and Y that satisfy this equation

scenario 1 when X = 3.5 , and y = 3., in which case X>y
scenario 2 when X = -3 and y = -3.5

X- y = -3 - ( -3.5) = 3.5 - 3 = 0.5 , in which case X > y

So X and Y both could be positive or X and Y both could be negative , but in either scenarios x has to be greater than y

What am I missing here, help?
Manager
Manager
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Joined: 18 Jun 2007
Posts: 88
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 [#permalink] New post 22 Aug 2007, 20:07
But ofcourse! Thanks !

Me and my careless mistakes!! Wish I could do something about it! ..like double checking my responses. :x
  [#permalink] 22 Aug 2007, 20:07
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Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1

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