\(X\), \(Y\) and \(Z\) are three allotropes of carbon. They are used in black ink, in water filters and as reducing agent in metallurgy respectively. The correct statement about their production is
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Important forms of amorphous carbon:
\[
\text{Carbon black (lamp black)}
\rightarrow
\text{Black inks, paints}
\]
\[
\text{Activated charcoal}
\rightarrow
\text{Water purification, adsorption}
\]
\[
\text{Coke}
\rightarrow
\text{Reducing agent in metallurgy}
\]
Coke is obtained by destructive distillation of coal.