Latest Elitmus Aptitude Question SOLUTION: 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?

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(#M40165038) ELITMUS Numerical Ability question Data sufficiency Keep an EYE

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?

Asked In Elitmus Mantu Kumar Singh (6 years ago)

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shanu mittal  (6 years ago)

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.

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Nancy  (6 years ago)

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.

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  (6 years ago)

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

Is this solution Helpfull? Yes (1) | No (4)  

Mantu Kumar Singh   (6 years ago)

Sorry , the question was: find (x^3 + y^3 + z^3)/xyz

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Digesh Singh Bisht  (1 year ago)

if in numerator there is 0 given then the result will always be 0.
So second statement is sufficient to answer the question.

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