If w,x,y and z are distinct odd positive integers,then the maximum value of the expression (w^2+x^2)*(y^2+z^2) can be divisible by?
a)2 b)3 c)5 d)10

• ANY ODD NUMBER SQUARE WILL GIVE ODD NUMBER ONLY..
  SIMILARLY WEN WE ADD 2 ODD NUMBERS WE WILL GET EVEN NUMBER..
  WEN WE MULTIPLY 2 EVEN OWE WILL GET EVEN NUBER..
  SO THE RESULT OF THE ABOVE EXPRESSION IS AN EVEN NUMBER ONLY..
  HENCE IT IS DIVISIBLE BY 2...
• 8 years agoHelpfull: Yes(38) No(4)
• Odd*odd=odd
  Odd+odd=even
  Even*even=even
  Eacha and every even no. Is divisible by 2 it is not necessary that every even no. Is divisible by 3,5 or 10 but every even no get divide by 2
  So ans is 2...
• 8 years agoHelpfull: Yes(7) No(0)
• answer is 4. any odd number square will give odd number only.
  (w^2 + x^2) = odd + odd = even i.e divisible by 2
  similarly (y^2 + z^2)= odd + odd = even i.e divisible by 2
  now , w^2 + x^2) * (y^2 + z^2) = 2*2 = 4 . so the answer is 4
• 8 years agoHelpfull: Yes(6) No(29)
• to maximize the expression...we have to take maximum odd digit positive digits i.e 3,5,7,9
  lets say w=3,x=5,y=7,z=9
  now, expression = (9+25)*(49+81)= 34*330
  which is going to be a multiple of 10
  so option d is the correct option
• 8 years agoHelpfull: Yes(4) No(15)
• only mr. SAMEER BHATIA's answer is correct because if we have both options 2 and 4 then correct answer will be 4. as far as 2 is concerned, if a no is divisible by 4 then its it will be definitely divisble by 2 so more approprite ans is 4 (2 is implicit with it)
  moreover multiplication of 2 even no. is always divisible by 4.
  so 4 is correct ans
• 8 years agoHelpfull: Yes(1) No(5)
• answer is 2
  addition of square of two odd numbers= even
  therefore even*even= even (which is divisible by 2)
• 8 years agoHelpfull: Yes(1) No(0)
• answer will be 2.
• 8 years agoHelpfull: Yes(1) No(0)
• Answer will be a)divisible by 2
  because-
  1.square of odd number will be an odd number and then
  2.addition of 2 odd number(square of base odd numbers) will give uh an even number.
  3.multiplication of 2 even numbers will give uh an even number so it will be divisible by 2.
  
  
• 8 years agoHelpfull: Yes(0) No(3)
• positive integers are 1,3,5,7 and the total is 84 and it is divisible by 3
• 8 years agoHelpfull: Yes(0) No(2)
• we have to take the maximum possible value of the expression
  so this can be done by only taking values like 3,5,7,9 .
  (9+25)* (49+81)= ending with 0;
  so it can be divided by 2 , 5 , 10
  so in this question , there should be a correction like what is the maximum value or minimum value from which we can divide it
• 7 years agoHelpfull: Yes(0) No(1)
• ans...2
  bcz (odd no)^2=odd no.
  odd no+odd no=even no..
  and even no*even no=even no..
  (odd^2+odd^2)*(odd^2+odd^2)
  =>(odd+odd)*(odd+odd)
  =>even*even
  =>even so must be divisible by2
• 7 years agoHelpfull: Yes(0) No(0)
• As they are using the term 'between' ,we can't count '1',thats why ans is 4999
• 7 years agoHelpfull: Yes(0) No(0)