Is x^2+y^2 divisible by 5?

(1) When x-y is divided by 5, the remainder is 1
(2) When x+y is divided by 5, the remainder is 3

• its a data sufficiency question...
  ans should be the both the statements are required to ans the question because
  here x-y is divided by 5 and the remainder is 1.
  so it can be written as x-y=5m+1
  similarlu x+y =5n+3
  and from this we can get xy=(x+y)^2-(x-y)^2
  it would be -8+10m+30n
  putting the value of xy and x+y in x^2+y^2 as (x+y)^2 -2xy we get
  25m^2+10m-60n+25 which can be a multiple of 5 so it is devisible by 5.
  
• 9 years agoHelpfull: Yes(13) No(1)
• X=7,Y=1
  x^2+y^2=50/5=10
  X+Y=8/5=remainder 3,
  X-Y=6/5=remainder1,
  kitna aasan tha
• 10 years agoHelpfull: Yes(10) No(14)
• if x=12 and y=11 then it is posible..
• 10 years agoHelpfull: Yes(4) No(4)
• x=7 y=6 is also a possible case .....
  7^2 +6^2=85 divisible by 5
  7-6=1 when divided by 5 leaves remainder 1
  7+6=13 when divided by 5 leaves remainder 3
  
• 10 years agoHelpfull: Yes(4) No(2)
• Let x=7 and y=6
  Now,when x-y is divided by 5, remainder is 1 and
  When x+y is divided by 5 remainder is 3.
  
  x²+y²=7²+6²=85, which is again divisible by 5.
• 10 years agoHelpfull: Yes(2) No(0)
• YES SAROJANI..This is a DATA SUFFICIENCY QUESTION
• 10 years agoHelpfull: Yes(1) No(1)
• ans---alone 1 or 2 can give the answer
  because if we take
  x=7 ,y=1 then x-y (6) divided by 5 get remainder 1
  and another case
  x=6 ,y=2 then x+y (8) divided by 5 get remainder 3
• 9 years agoHelpfull: Yes(1) No(1)
• we can answer this question using any of statement alone also.... what should be d answer???
  
• 9 years agoHelpfull: Yes(1) No(0)
• if x=3 and Y=4 then it not possible
• 10 years agoHelpfull: Yes(0) No(4)
• Im getting conffuse...,How 1 is divisible by 5 leaves remainder 1 .. Is 7-6=1 , I think this question belongs to data sufficient .
  
• 10 years agoHelpfull: Yes(0) No(4)
• either statement is sufficient.
  take x=2 and y=1
• 9 years agoHelpfull: Yes(0) No(0)
• Answer to this ques will be both the statements are required.
  both the statements satisfies when we put x=12 and y=6
  x-y= 12-6= 6, 6/5= 1 remainder
  x+y= 12+6=18, 18/5= 3 remainder
  x2 + y2= 144 + 36= 180 which is divisible by 5.
• 9 years agoHelpfull: Yes(0) No(0)
• i think statement 4 is sufficient for giving the answer. THe reason is if i cosider x=2 and y=1 (but this case will not happen if we consider xor y as 0 so we are not getting an unique answer .
  
• 8 years agoHelpfull: Yes(0) No(0)