**Core Concept**
Quellung's reaction is a type of serological test used to identify and confirm the presence of specific capsular polysaccharides in bacteria. This reaction involves the use of specific antisera that react with the capsular polysaccharides of certain bacteria, resulting in visible clumping or precipitation.

**Why the Correct Answer is Right**
Neisseria meningitidis, the causative agent of meningococcal meningitis, does not exhibit Quellung's reaction. This is because N. meningitidis lacks a well-defined capsular polysaccharide that can be detected by Quellung's reaction. In contrast, other bacteria such as Streptococcus pneumoniae, Neisseria gonorrhoeae, and Hemophilus influenzae type b have well-defined capsular polysaccharides that can be detected by Quellung's reaction.

**Why Each Wrong Option is Incorrect**
**Option A:** Streptococcus pneumoniae exhibits a positive Quellung's reaction due to its well-defined capsular polysaccharide, which is detectable by specific antisera.
**Option B:** Neisseria gonorrhoeae exhibits a positive Quellung's reaction due to its capsular polysaccharide, which is detectable by specific antisera.
**Option C:** Hemophilus influenzae type b exhibits a positive Quellung's reaction due to its well-defined capsular polysaccharide, which is detectable by specific antisera.

**Clinical Pearl / High-Yield Fact**
Quellung's reaction is a useful tool for identifying and confirming the presence of specific bacterial pathogens, particularly those with well-defined capsular polysaccharides. This reaction is often used in conjunction with other diagnostic tests to confirm the diagnosis of bacterial infections.

**✓ Correct Answer: D. Neisseria meningitides**