I am stuck with this logic problem:
Logic – Jack of All Trades
Trudy loves learning new things and is always taking some course or other forum the local college’s adult education program. She’s signed up for four upcoming classes – calligraphy, picture framing, stained glass, and upholstery. Each class will meet during a different month – March, April, May, or June – and features a different instructor (two are men and two are women; surnames are Kramer, Luu, Nielson, and Ortega). Can you find each month’s class and instructor?
1. The stained- glass course and June’s course will be taught by women.
2. Luu and the picture framing instructor are both men.
3. Kramer’s course will take place sometime before the stained glass course, which in turn will be held sometime before Ortega’s course.
4. May’s course is in upholstery.
No one has answered this question yet.
March Picture Framing Mr. Kramer
April Stained Glass Ms. Nielson
May Upholstery Mr. Luu
June Calligraphy Ms. Ortega
To solve this logic problem, we'll need to use a process of elimination and make deductions based on the given clues. We'll start by creating a table to organize the information and keep track of our deductions:
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| Month | Course | Instructor 1 | Instructor 2 |
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| March | | | |
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| April | | | |
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| May | | | |
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| June | | | |
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Now let's analyze each clue and make deductions based on them:
1. The stained-glass course and June’s course will be taught by women.
From this clue, we can deduce that the stained glass course cannot be in March, April, or May because June is the only available month for it. We also know that the instructor for the stained glass course must be a woman.
2. Luu and the picture framing instructor are both men.
We can conclude that Luu cannot be the instructor for the stained glass course because the instructor for that course must be a woman. Therefore, Luu must be the instructor for the picture framing course, which means the picture framing course cannot be in June.
3. Kramer’s course will take place sometime before the stained glass course, which in turn will be held sometime before Ortega’s course.
From this clue, we can deduce that Kramer's course cannot be in June or May since the stained glass course must be held before Ortega's course. We also know that the stained glass course cannot be in March, April, or May, so it must be in June. Therefore, Kramer's course must be in March or April, but it cannot be in March because the instructor for the picture framing course (Luu) must be a man.
4. May’s course is in upholstery.
From this clue, we can deduce that May's course cannot be the stained glass course or the picture framing course. Since the instructor for the picture framing course is Luu, and Luu must be a man, the only available option for May's course is upholstery.
Based on these deductions, we can now fill in the table:
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| Month | Course | Instructor 1 | Instructor 2 |
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| March | | Kramer | |
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| April | | | |
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| May | Upholstery | | |
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| June | Stained Glass | | |
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Now, let's consider the remaining possibilities and make our final deductions:
- The instructor for the stained glass course must be a woman, so it cannot be Kramer or Luu.
- Luu is the only remaining male instructor, so he must be the instructor for the picture framing course in April.
- The only remaining female instructor is Ortega, so she must be the instructor for the stained glass course in June.
With this information, we can conclude the following:
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| Month | Course | Instructor 1 | Instructor 2 |
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| March | | Kramer | |
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| April | Picture Framing | Luu | |
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| May | Upholstery | | |
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| June | Stained Glass | Ortega | |
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Now, let's fill in the missing information:
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| Month | Course | Instructor 1 | Instructor 2 |
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| March | Calligraphy | Kramer | |
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| April | Picture Framing | Luu | |
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| May | Upholstery | | |
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| June | Stained Glass | Ortega | |
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From the remaining options, the only course left is calligraphy for March, and the only remaining instructor is Nielson:
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| Month | Course | Instructor 1 | Instructor 2 |
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| March | Calligraphy | Kramer | Nielson |
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| April | Picture Framing | Luu | |
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| May | Upholstery | | |
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| June | Stained Glass | Ortega | |
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Finally, we can determine that May is the month for the upholstery course, and since Nielson is the only remaining instructor, he must be the instructor for the upholstery course:
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| Month | Course | Instructor 1 | Instructor 2 |
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| March | Calligraphy | Kramer | Nielson |
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| April | Picture Framing | Luu | |
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| May | Upholstery | Nielson | |
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| June | Stained Glass | Ortega | |
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Therefore, the final solution is:
- March: Calligraphy, Kramer, Nielson
- April: Picture Framing, Luu
- May: Upholstery, Nielson
- June: Stained Glass, Ortega