To address these statements, let's analyze each one :

Statement I : "In an organic compound, when inductive and electromeric effects operate in opposite directions, the inductive effect predominates."

• The inductive effect refers to the transmission of charge through a chain of atoms in a molecule by electrostatic induction. It's a permanent effect.
• The electromeric effect is a temporary effect, occurring when a reagent approaches a double bond or a polar molecule and causes electrons to shift entirely from one atom to another.
• Generally, in organic chemistry, the inductive effect is considered to be a weaker effect compared to the electromeric effect. When both effects are present and oppose each other, the electromeric effect, being a more dominant electronic effect, usually prevails.

Statement II : "Hyperconjugation is observed in o-xylene."

• Hyperconjugation is a phenomenon where electrons in a sigma bond (usually C-H or C-C) are delocalized into an adjacent empty or partially filled p-orbital or pi-orbital, stabilizing the system.
• o-Xylene is an aromatic compound with two methyl groups attached to the benzene ring in ortho positions. However, hyperconjugation typically occurs in alkenes or carbocations where there is an adjacent p-orbital. In o-xylene, the aromatic system is already stabilized by resonance, and the hyperconjugation of the methyl groups does not significantly contribute to this stability.

Based on these explanations :

• Statement I is false because the electromeric effect is generally stronger than the inductive effect.
• Statement II is true as hyperconjugation can be observed in o-xylene, although its impact on the molecule's stability is minimal compared to the aromatic resonance.

Thus, the correct option is :

Option B : Statement-I is false but Statement-II is true.