If x=y=2 z and x y z=256, then x= ? · ABC26GN1045
Subject: General Aptitude · Chapter: Simplification · Exam: Campus Recruitment 2005
If $x=y=2 z$ and $x y z=256$, then $x=$ ?
(a)2
(b)4
(c)8
(d)None of these
Answer
Explanation
$$\begin{gathered} x y z=256 \Rightarrow(2 z)(2 z) z=256 \Rightarrow 4 z^{3} \\ =256 \Rightarrow z^{3}=64 \Rightarrow z=4 . \\ \therefore \quad x=2 z=(2 \times 4)=8 . \end{gathered}$$
Explanation as extracted from the printed page; notation may be imperfect.
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