Step 1: Understanding the Concept: 
Hydrides can be broadly classified into ionic, covalent, and metallic hydrides. Covalent hydrides are further classified based on the number of electrons around the central atom relative to a complete octet. 
- Electron-deficient hydrides: The central atom has fewer than 8 valence electrons. Typically formed by Group 13 elements. 
- Electron-precise hydrides: The central atom has exactly 8 valence electrons (a complete octet). Typically formed by Group 14 elements. 
- Electron-rich hydrides: The central atom has a complete octet and one or more lone pairs of electrons. Typically formed by Group 15, 16, and 17 elements. 
Step 2: Analyzing the Options: 
- (A) B₂H₆, AlH₃: Boron and Aluminum are in Group 13. Their hydrides, diborane and alane, are electron-deficient. B in B₂H₆ does not have a complete octet. 
- (B) NaH, MgH₂: Sodium and Magnesium are Group 1 and Group 2 metals. They form ionic or saline hydrides, which consist of metal cations (Na⁺, Mg²⁺) and hydride anions (H⁻). They are not classified under the electron-deficient/precise/rich scheme for covalent hydrides. 
- (C) HCl, H₂S: Chlorine (Group 17) and Sulfur (Group 16) are p-block non-metals. In HCl, the Cl atom has 3 lone pairs of electrons in addition to the bonding pair. In H₂S, the S atom has 2 lone pairs in addition to the two bonding pairs. Since the central atoms have excess electrons in the form of lone pairs, these are electron-rich hydrides. 
- (D) CH₄, SiH₄: Carbon and Silicon are in Group 14. In methane (CH₄) and silane (SiH₄), the central atom forms four single bonds and has a complete octet with no lone pairs. These are electron-precise hydrides. 
Step 3: Final Answer: 
HCl and H₂S are the hydrides where the central atom has lone pairs, making them electron-rich. Therefore, option (C) is correct.