Thanks

Bunuel for the clarification

To end the confusion I guess we can directly solve the question as -

Given \(|x^2|<|x^4|\) or \(\frac{|x^4|}{|x^2|}>1\)

Hence the question stem becomes Is \(|x^2|>1\)

Statement 1: \(x<-1\), squaring both sides we get \(x^2>1\) (sign of inequality will reverse because \(|x|>|-1|\)) or

\(|x^2|>1\). So we get a Yes for our question stem. Hence

SufficientStatement 2: \(|x|<|x^3|\) or \(\frac{|x^3|}{|x|}>1\)

Hence \(|x^2|>1\).

SufficientOption

D