Are x and y are positive?
i) 2x-2y=1
ii) x/y > 0

• None of these is sufficient to know weather x & y is positive or not,,,
• 10 years agoHelpfull: Yes(24) No(0)
• 2x-2y=1
  x-y=1/2
  x=1/2+y
  this means value of x depends on y and value of y can be obtained from 2nd condition
  Now,putting x=1/2+y in ii.)
  (1/2+y)/y>0
  1/2+y>0
  1+2y>0
  2y>-1
  y>-1/2
  it means value of y can be -ve and the maximum possible -ve value of y can be 0.4 and when we put this in i.) i.e. in x=1/2+y we will always obtain +ve value of x.
  therefore it's clear that it is not necesaary that both of them will be +ve,but the value of x will always be +ve.
• 10 years agoHelpfull: Yes(15) No(2)
• Are x and y both positive?
  
  1) 2x-2y=1
  2(x-y)=1
  x-y=1/2
  -->3/4-1/4=1/2....YES
  -->-1/4-(-3/4)=1/2...NO
  INSUFFICIENT
  
  2) x/y>0
  This just means that x and y have the same sign. They're either both positive or both negative.
  INSUFFICIENT
  
  1&2)
  x=1/2+y
  
  (1/2+y)/y>0
  y/2 + 1 > 0
  y/2 > 0 which means that Y is greater than 0. And since both x and y have the same sign, both x and y are Positive. YES.
• 10 years agoHelpfull: Yes(5) No(15)
• I agree (1) or (2) are INSUFFICIENT. but consider both of them together
  
  (1) 2x-2y = 1
  (2) x/y >1
  
  Rephrasing (1)
  
  x-y = 1/2
  x = y + 1/2
  
  Now substituting value of x in (2)
  
  (y+1/2)/y >1
  
  Solving:
  
  1+ 1/2y > 1
  
  so, 1/2y > 0 it means y >0 since x = y+1/2 s0 X >0 as well.
  
  Hope it helps
• 10 years agoHelpfull: Yes(3) No(0)
• 2x-2y=1
  since 2(x-y)=1
  x-y=1/2
  hence inorder to get the satisfied solution either x>0, y>0 or x0 for x/y>o
  or
  x
• 10 years agoHelpfull: Yes(2) No(2)
• none of statement ex plane bcoz negative value also satisfy these equation ..
• 10 years agoHelpfull: Yes(2) No(1)
• 2x-2y=1
  2(x-y)=1
  x-y=1/2
  means x>y and result is +ve so x is +ve.
  now x/y >0
  let us assume the result be z means x/y =z
  and z>0
  so x is +ve and z is +ve so y is also +ve so answer is YES
• 10 years agoHelpfull: Yes(2) No(4)
• from ii) x & y both have to positive or both have to be negative
  but from i) nothing can be told surely. anyone can be positive or negative between x & y.
  so both options are not sufficient
• 10 years agoHelpfull: Yes(1) No(2)
• simply,
  x=1/2+y
  
  (1/2+y)/y>0
  y/2 + 1 > 0
  y/2 > 0
  even it is comin y/2 > -1/2
  but, x, y shd be of same sign
  so, must be positive ...it is always better way to check dis wid xample
  -->-1/4-(-3/4)=1/2.....but, here is dis
  so the data is insufficient
  It can be eider both pos or both neg
  
• 10 years agoHelpfull: Yes(1) No(0)
• no
  given x-y=1/2
  x/y>0
  case 1
  if x=1 &y=1/2 then the above equ satisfied
  case 2
  if x=-1/2 & y=-1
  then also equ are true so for above equ x and y carry both +ve and -ve values
• 10 years agoHelpfull: Yes(1) No(1)
• none of them are sufficient
• 10 years agoHelpfull: Yes(1) No(0)
• it is not necessary, x and y both maybe positive or negative. we can tell this by taking positive and negative values of x and y
• 10 years agoHelpfull: Yes(0) No(1)
• No,
  By statement 2 we get that x>0,y>0 or x
• 10 years agoHelpfull: Yes(0) No(1)
• BOTH CAN BE NEGATIVE ALSO AS
  -4/-2>0
  SIMILARLR -4*2-2*(-9/2)=1 SO both the conditions are not sufficient
• 10 years agoHelpfull: Yes(0) No(0)
• manikandan@
  1/2+y/y>0
  its mean 1+2y/2y>0
  1+2y>0
  2y>-1
  so we cant say dat both r positive
• 10 years agoHelpfull: Yes(0) No(0)
• yes
  from 1) x is positive or can take value as 0.
  from 2) both x and y are positive
• 10 years agoHelpfull: Yes(0) No(0)
• @prakher mehrotra it is not necessary that valuew of x will always be +ve
  
• 9 years agoHelpfull: Yes(0) No(0)