Question

Four people work in an office: two women and two men, Ann likes Catherine but she doesn't like the two men. Peter doesn't like the person that Ann likes, but he likes Ann. Only one person likes Catherine. John likes two people. One person doesn't like Ann. Who is it?

Answer 1

Сatherine наверное это правильно

Answer 2

Let's consider each statement and try to deduce the identities of the four people:

1. Two women and two men work in the office.
2. Ann likes Catherine but doesn't like the two men. This means that Ann must be a woman, and Catherine can be either a woman or a man. However, if Catherine were a man, then John would also like two men, which contradicts another statement. Therefore, Catherine must be a woman.
3. Peter doesn't like the person that Ann likes, but he likes Ann. This means that Peter must be a man and he doesn't like Catherine. He likes Ann, but Ann doesn't like him since she only likes Catherine.
4. Only one person likes Catherine, and we know that this person is not Ann or Peter. Therefore, the other woman in the office must like Catherine.
5. John likes two people, and we know that one of them is not Catherine. Since Ann doesn't like any of the men, John must like both men.
6. One person doesn't like Ann. This could be either one of the men or the woman who likes Catherine. However, we know that John likes both men, so the person who doesn't like Ann must be the other woman.

Therefore, the four people in the office are:

• Ann (woman) who likes Catherine (woman)
• Catherine (woman) who is liked by the other woman in the office
• Peter (man) who likes Ann (woman) but doesn't like Catherine (woman)
• John (man) who likes both men in the office and doesn't like Ann (woman)

The person who doesn't like Ann is the other woman in the office who likes Catherine.