In precision investment (lost wax) casting, the slurry has one specific job: to coat the wax pattern and, together with a refractory stucco, build up a strong ceramic shell mould. Checking what each option's actual chemical role is clarifies which belongs in the slurry.
Since both ethyl silicate and sodium silicate serve as real, industrially used binders in investment casting slurry, this combined option correctly reflects the process.
Therefore, the correct answer is Both Ethyl and Sodium silicate.