Advik: Most stores in our town with fewer than five employees are owne

Advik's statements:

1. Most stores with fewer than five employees are owned by women.
2. Every antique store in our town has fewer than five employees.
3. None of the antique stores in our town are owned by women.

From these statements, we can infer that most of the stores in Advik's town that have fewer than five employees must not be antique stores.

To understand this better let's take the following example -

• Number of stores in Advik's town that have fewer than five employees = 10
• Number of stores in Advik's town that have fewer than five employees and are owned by women >= 6
• We know of the 4 remaining stores, some of the stores are antique stores. This is because none of the antique stores in Advik's town are owned by women.
• Therefore, most of the stores with fewer than five employees are not antique stores. These are the stores that are owned by women.

A. have fewer than five employees are not antique stores

Complete Statement -

Most of the stores in Advik's town that have fewer than five employees are not antique stores.

This could be true based on the second statement. If every antique store has fewer than five employees, then most stores with fewer than five employees are not antique stores. Let's keep this.

B. are now owned by women are antique stores

Complete Statement -

Most of the stores in Advik's town that are now owned by women are antique stores.

This contradicts the information presented in the premise. The premise states that none of the antique stores are owned by women. So, this statement is not necessarily true.

C. have five or more employees are not owned by women

Complete Statement -

Most of the stores in Advik's town that have five or more employees are not owned by women.

There is no information presented on the stores that have five or more employees. Hence this statement cannot be concluded.

D. are not antique stores are owned by women

Complete Statement -

Most of the stores in Advik's town that are not antique stores are owned by women.

We cannot conclude this as we are only presented with information on the ownership of stores that have fewer than five employees. However, this statement is regarding "most of the stores in Advik's town". As we don't have any information on stores that have five or more employees, we cannot conclude this statement.

E. are owned by women have fewer than five employees

Complete Statement -

Most of the stores in Advik's town that are owned by women have fewer than five employees.

This statement cannot be inferred because we know from the premise that most stores with fewer than five employees are owned by women. Hence, we are presented with information about a subset of stores that are owned by women. As we don't have any information on stores that have five or more employees, we cannot infer this option.

Option A