Question

two men (jack and mike) and two women (adele and edna) each like a different type of music (one likes jazz). their last names are mullin, hardaway, richmond, and higgins. from the clues below, find each persons full name and favorite type of music.

1. hardaway hates country - western music.
2. the classical - music lover said shed teach higgins to play the piano.
3. adele and richmond knew the country - western fan in high school.
4. jack and the man who likes rock music work in the same office building.
5. richmond and higgins are on the same bowling team. there are no men on their team.

Explanation:

Step1: Determine gender of last - name holders

From clue 5, since Richmond and Higgins are on a team with no men, they are women. So the men are Jack and Mike, and the women are Adele and Edna. Also, from clue 2, the classical - music lover is a woman (because she said she'd teach Higgins, and we know Higgins is a woman from clue 5).

Step2: Find the country - western fan

From clue 3, Adele is not the country - western fan. From clue 1, Hardaway is not the country - western fan. From clue 5, Richmond is not the country - western fan. So the country - western fan is Mike.

Step3: Find the rock music fan

From clue 4, Jack is not the rock music fan. Since Mike is the country - western fan, the rock music fan is Jack's male counterpart. But since there are only two men (Jack and Mike) and Mike is country - western, this is a wrong path. Let's re - approach.
From clue 4, Jack is not the rock fan. From clue 5, Richmond and Higgins are women. From clue 3, Adele is not country - western. Let's make a table:

First Name	Last Name	Music Type
Mike		Country - western
Adele
Edna

From clue 2, assume Edna is the classical fan (since she is a woman). Then from clue 5, if Richmond is a woman (Adele or Edna), assume Adele is Richmond. From clue 1, if Hardaway is a man (since women are Adele (Richmond) and Edna (classical)), then Jack is Hardaway. Then from clue 4, since Jack (Hardaway) is not rock, and Mike is country - western, Edna (classical), then Adele (Richmond) is jazz. And Jack (Hardaway) is rock. But clue 4 says Jack and the rock fan work in the same building (contradiction if Jack is the rock fan). So re - adjust.
Let's start over.
From clue 5, Richmond and Higgins are women. Let's assume Adele is Higgins. Then from clue 2, the classical fan is Edna. From clue 3, since Adele (Higgins) is not country - western, and from clue 1, Hardaway is not country - western (Mike is male, assume Mike is Hardaway). Then from clue 4, Jack is not rock. Since there are four music types (jazz, classical, country - western, rock). Mike (Hardaway) is not country - western (clue 1 contradicts, so wrong).
Let's use another approach.
From clue 5, Richmond and Higgins are women. Let's assume Edna is Richmond. Then from clue 3, Adele is not country - western. From clue 1, if Hardaway is a man (Jack or Mike). From clue 4, Jack is not rock. Let's assume Mike is rock (violates clue 4 if Jack and Mike work in the same building, but clue 4 says Jack and the rock fan (if Mike) work in the same building, which is allowed). Then from clue 1, if Mike is not Hardaway (since Hardaway hates country - western, and if Mike is rock). Let Jack be Hardaway. Then from clue 5, Adele is Higgins. From clue 2, Edna (Richmond) is classical. Then Adele (Higgins) is jazz.

Step4: Verify

• Jack Hardaway: Since from clue 1, Hardaway is Jack (a man). From clue 4, Jack (Hardaway) and the rock fan (Mike) work in the same building (allowed as they are colleagues).
• Mike Mullin: Assume last name Mullin (since other last names are assigned). Likes rock.
• Adele Higgins: From clue 2, classical fan is Edna (so Adele can't be classical). From clue 3, not country - western. So likes jazz.
• Edna Richmond: From clue 2, classical music lover. From clue 3, not country - western.

Answer:

• Jack Hardaway: Likes rock.
• Mike Mullin: Likes country - western.
• Adele Higgins: Likes jazz.
• Edna Richmond: Likes classical.