Multiple choice general knowledge math & puzzles

If x=y=2z and xyz=256 then what is the value of x?

  1. 12

  2. 16

  3. 8

  4. 6
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C Correct answer
Explanation

We are given $x = y = 2z$, which means $y = x$ and $z = x/2$. Substituting these into $xyz = 256$ gives $x \times x \times (x/2) = 256$, which simplifies to $x^3 = 512$. Taking the cube root of both sides yields $x = 8$. Distractors represent incorrect algebraic substitutions.

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