Latest MBA Aptitude Question SOLUTION: if x^a=y^b=z^c and ab+bc+ca=0, then find xyz

• Placement Papers
• /
• MBA
• /
• Numerical Ability

MBA Question Papers:

(#M40158042) MBA Numerical Ability question Number System Keep an EYE

if x^a=y^b=z^c and ab+bc+ca=0, then find xyz

Asked In MBA Sanjana Patnaik (7 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (0)   (0) Submit Your Solution

Read Solution (1) :

Aakash Malviya  (6 years ago)

let x^a=y^b=z^c= K1(Constant)
then a log x = b log y = c log z = log K1 = K (Constant)
then log x = K/a, log y = K/b, log z = K/c

Now, xyz = P (constant)
log xyz = log P = log x + log y +log z = k/a + k/b + k/c = k (bc+ca+ab/abc)
ab+bc+ca = 0 (given)
So k (bc+ca+ab/abc) = k (0/abc) = k (0) = 0
log P = 0
P = 1 = xyz

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.