GATE | GATE CS 2018 | Question 9
If pqr ≠ 0 and , what is the value of the product xyz ?
(A) -1
(B) 1 / pqr
(C) 1
(D) pqr
Answer: (C)
Explanation: Taking logs of given three values,
we get
1/q = p-x -------(1) 1/r = q-y -------(2) 1/p = r-z -------(3) 1/q = p-x = r-xz [Putting value of p from (3)] = q-xyz [Putting value of r from (2)] = 1 / qxyz On comparing power of q both sides, we get xyz = 1
So, option (C) is correct.