If x,y,z,are non- zero integers, then what is the value of (x+y+z)/xyz?
I) xyz=-6
II)x+y+z=0
From the above two statement, which is sufficient to answer?

• Taking (x^3 + y^3 + z^3)/xyz AS question
  
  Solution: Open the formula for (x^3 + y^3 + z^3) and it will be (x + y + z) (x2 + y2 + z2 – xy – yz – zx)/xyz .
  Put x+y+z=0 (II option) the value will be zero.
  So II option is sufficient to answer.
• 7 years agoHelpfull: Yes(3) No(0)
• Since the question is x^3 + y^3 +z^3 / xyz
  
  if x+y+z=0, x^3 + y^3 +z^3= 3xyz
  x^3 + y^3 +z^3 / xyz = 3xyz/xyz = 3
  Thus, statement II is sufficient.
  
  If the question is (x+y+z)/xyz, 2 alone is not sufficient, as
  if x+y+z=0 and xyz=0, the value is not defined. hence, in order to know xyz not equal to 0, we need statement I also.
• 6 years agoHelpfull: Yes(3) No(1)
• Statement II is the valid condition for evaluating the statement, since the value of the expression((x+y+z)/xyz) will be 0(zero) always
• 7 years agoHelpfull: Yes(1) No(4)
• Sorry , the question was: find (x^3 + y^3 + z^3)/xyz
• 7 years agoHelpfull: Yes(1) No(0)
• if in numerator there is 0 given then the result will always be 0.
  So second statement is sufficient to answer the question.
• 2 years agoHelpfull: Yes(0) No(0)