If x1/p=y1/q=z1/r and x y z=1, then the value of p+q+r would be

ABC26GN1976 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: 2008 · Marks: · Difficulty:

If $x^{\frac{1}{p}}=y^{\frac{1}{q}}=z^{\frac{1}{r}}$ and $x y z=1$, then the value of $p+q+r$ would be

(a)0

(b)1

(c)2

(d)a rational number

Answer

Answer (as printed): A

Explanation

Let $x^{\frac{1}{p}}=y^{\frac{1}{q}}=z^{\frac{1}{r}}=k$. Then, $x=k^{p}, y=k^{q}, z=k^{r}$.

Explanation as extracted from the printed page; notation may be imperfect.