## Core Concept
The question tests the understanding of active and passive immunity, specifically when they can or cannot be administered together. Active immunity involves the production of antibodies by the individual's immune system, typically through vaccination, while passive immunity involves the transfer of pre-formed antibodies to provide immediate protection.

## Why the Correct Answer is Right
Hepatitis B immune globulin (HBIG) and Hepatitis B vaccine can be given simultaneously but at different sites. However, when it comes to Rabies immunoglobulin and Rabies vaccine, they should not be administered at the same site or through the same syringe but can be given on the same day. For Tetanus immunoglobulin and Tetanus toxoid vaccine, they can be given simultaneously but at different sites. The key here seems to be about the specific context of "together," which might imply same-site administration or interference with immune response.

## Why Each Wrong Option is Incorrect
- **Option A:** This option is not provided, but typically, vaccines and their corresponding immunoglobulins can be given on the same day at different sites.
- **Option B:** Similarly, not provided but usually allows for concurrent administration.
- **Option C:** This seems to be the correct context where specific guidance is needed; typically, for some vaccines, same-day administration at different sites is acceptable.
- **Option D:** Not specified but generally allows concurrent administration.

## Why the Correct Answer is D
Given that **Option D: BCG vaccine** is the correct answer. The BCG (Bacillus Calmette-Guérin) vaccine is a live attenuated vaccine. Administering live vaccines along with immunoglobulins (which provide passive immunity) can interfere with the immune response to the live vaccine, making it less effective. Therefore, live vaccines like BCG should not be given simultaneously with immunoglobulins if it can be avoided.

## Clinical Pearl / High-Yield Fact
A key point to remember is that live vaccines and immunoglobulins can interfere with each other's efficacy when given together. Specifically, for live vaccines like **BCG**, **MMR**, and **Varicella**, it's recommended to delay administration of immunoglobulins for a specified period after vaccination or vice versa to ensure an adequate immune response.

**Correct Answer: D. BCG vaccine**