How to store same name when name column is PK

In one of interview i have been asked this question.

1) The database fails to store 2 employees that have the same name. Do not sacrifice the usage of the primary key index seek for searching by name.

How can i solve this problem?

CREATE TABLE dbo.employees

(

uniqueEmployeesId int NOT NULL IDENTITY (1, 1),

name varchar(10) COLLATE SQL_Latin1_General_CP1_CS_AS NOT NULL,

CONSTRAINT PK_employees PRIMARY KEY CLUSTERED ( name )

)

In this same schema there is another question

2) The search is failing to find employees with names longer than 10 characters.

foreach (string name in namesToSearch)

{

nameParam = name;

//search for employees by name

queries.Add(from e in context.employees

where e.name == nameParam

select e);

}