A $-$ Apple:

Reasoning: The lowercase $\text{'}$a$\text{'}$ from Apple's logo is widely recognized due to its distinctive typography. Apple, founded in $1976$ by Steve Jobs, Steve Wozniak, and Ronald Wayne, has become one of the world's leading tech companies, known for products like the iPhone, iPad, and Mac computers.

Popularity: Apple's brand identity is robust, and its logo is one of the most recognizable globally. The simplicity of its design combined with Apple's market presence makes the 'a very distinct.

E $-$ eBay:

Reasoning: eBay's logo$,$ especially before its rebranding in $2012,$ was known for its colorful letters. Founded in $1995$ by Pierre Omidyar, eBay started as a consumer$-$to$-$consumer auction site and has since evolved into a major online shopping hub.

Popularity: The multi$-$colored $\text{'}$E$\text{'}$ stands out, making it easy to associate with eBay, especially for those who have shopped online or used their auction platform.

G $-$ Gap:

Reasoning: The $\text{'}$G$\text{'}$ from the Gap logo is very distinct due to its bold and capitalized style. Gap Inc., founded in $1969$ by Donald and Doris Fisher, initially sold Levi's jeans and records but eventually expanded to become a leading global fashion retailer.

Popularity: Gap stores are widespread, and their branding has remained consistent over the years, making their logo$\text{'}$s $\text{'}$G$\text{'}$ very identifiable.

H $-$ Honda:

Reasoning: The $\text{'}$H$\text{'}$ is a part of Honda's emblem, often seen on the grille of their vehicles. Honda, founded by Soichiro Honda and Takeo Fujisawa in $1948,$ began as a motorcycle manufacturer and later expanded into producing automobiles and other motor products.

Popularity: Honda is known globally for its cars, motorcycles, and power equipment. Their $\text{'}$H$\text{'}$ logo is prominently displayed on all their products, making it easily recognizable.

M $-$ McDonald's:

Reasoning: The golden $\text{'}$m$\text{'}$ or "Golden Arches" is synonymous with McDonald's. Founded in $1940$ by Richard and Maurice McDonald and later expanded by Ray Kroc in $1955,$ McDonald's has become the world's largest fast$-$food chain.

Popularity: With its widespread presence globally, the $\text{'}$m$\text{'}$ from McDonald's is instantly recognizable. The simplicity and consistency in branding have played a pivotal role in this.