7.6. Five girlfriends, Sonya, Tanya, Lena, Galia, and Vika, were born in five cities: Riga, Penza, Kazan, Belgorod, and Moscow. Each of them loves candies produced in one of these cities. It is known that no one loves candies produced in their hometown. Sonya loves candies from Riga. Tanya is from Riga, and her favorite candies are from Penza. Vika loves candies from Moscow. Galia's favorite candies are produced in Belgorod. Vika is from Kazan. The girl from Penza loves candies made in Lena's hometown. Who among the girlfriends was born in Moscow?
Answer: Sonya

Solution. From the condition, we can determine who likes which candies:

Sonya - from Riga;

Tanya - from Penza;

Vika - from Moscow;

Galina - from Belgorod; therefore, Lena - from Kazan.

It is known that no one likes candies produced in their hometown. Let's mark this condition in the table, as well as the conditions that Tanya is from Riga, and Vika is from Kazan.

Since the native of Penza likes candies made in Lena's hometown, Lena is not from Penza. If Lena is from Moscow, then the native of Penza likes candies made in Moscow, which means the native of Penza should be Vika. But Vika is from Kazan. Therefore, Lena is from Belgorod.

|  | Sonya | Tanya | Lena | Galina | Vika |
| :--- | :---: | :---: | :---: | :---: | :---: |
| Riga | - | + | - | - | - |
| Penza |  | - |  |  | - |
| Kazan | - | - | - | - | + |
| Belgorod |  | - |  | - | - |
| Moscow |  | - |  |  | - |

Galina likes candies from Belgorod, so Galina is from Penza. Then it remains that the native of Moscow is Sonya.

Evaluation Criteria.

“+” A complete and well-reasoned solution is provided.

“士” A generally correct reasoning is provided, but there are gaps or inaccuracies in the justification. For example, the table is filled out correctly, but explanations are missing.

“戸” The correct answer is obtained, but it is insufficiently justified. For example, the condition that the native of Penza likes candies made in Lena's hometown is not used.

“-” The problem is not solved or is solved incorrectly.