Printable Logic Puzzle - Free Printable

This is a classic logic puzzle where we need to deduce the college, subject, and class of degree for each student based on the given clues. Let's solve it step by step.

Clues Recap:

1. One girl was studying Archaeology; the other was at Charterhouse College.
2. The King Alfred’s student, who obtained a first, was not Gordon, the Classics student.
3. Lawrence’s degree was of a higher class than that of the Maths student, who was not awarded the pass degree.
4. The third-class degree was attained in Economics.
5. The biochemist studied at Canterbury College.
6. Sally’s degree was not as good as that obtained by the student from St Mark’s.

Students: Bernice, Gordon, Henry, Lawrence, Sally

Colleges: Canterbury, Charterhouse, King Alfred’s, Prince of Wales, St Mark’s

Subjects: Archaeology, Biochemistry, Classics, Economics, Mathematics

Classes: First, Upper second, Lower second, Third, Pass

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Step-by-Step Solution:

#### Step 1: Analyze Clue 1
- "One girl was studying Archaeology; the other was at Charterhouse College."
- This tells us:
- There are two girls among the students.
- One of them studies Archaeology.
- The other girl is at Charterhouse College.
- We don’t know yet which students are girls, but this clue will help later.

#### Step 2: Analyze Clue 2
- "The King Alfred’s student, who obtained a first, was not Gordon, the Classics student."
- The King Alfred’s student got a First.
- Gordon studies Classics.
- Gordon is not the King Alfred’s student (since he didn’t get a First).

#### Step 3: Analyze Clue 3
- "Lawrence’s degree was of a higher class than that of the Maths student, who was not awarded the pass degree."
- Lawrence’s degree is better than the Maths student’s degree.
- The Maths student did not get a Pass.

#### Step 4: Analyze Clue 4
- "The third-class degree was attained in Economics."
- The student who studied Economics got a Third.

#### Step 5: Analyze Clue 5
- "The biochemist studied at Canterbury College."
- The student studying Biochemistry is at Canterbury College.

#### Step 6: Analyze Clue 6
- "Sally’s degree was not as good as that obtained by the student from St Mark’s."
- Sally’s degree is worse than the degree of the St Mark’s student.

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Logical Deductions:

#### Deduction 1: Identify the King Alfred’s student
- From Clue 2, the King Alfred’s student got a First and is not Gordon.
- From Clue 3, Lawrence’s degree is better than the Maths student’s degree. Since the First is the highest class, Lawrence could be the King Alfred’s student.
- Let’s assume Lawrence is the King Alfred’s student with a First. This fits all clues so far.

#### Deduction 2: Identify the Maths student
- From Clue 3, the Maths student did not get a Pass. Since Lawrence got a First, the Maths student cannot be Lawrence.
- From Clue 4, the Economics student got a Third. So, the Maths student cannot be the Economics student either.
- From Clue 6, Sally’s degree is worse than the St Mark’s student’s degree. If Sally were the Maths student, her degree would be a Pass (the worst), but this contradicts Clue 3 (Maths student did not get a Pass). Therefore, Sally is not the Maths student.
- Let’s assume Gordon is the Maths student. His degree must be an Upper Second or Lower Second (not Pass).

#### Deduction 3: Identify the Economics student
- From Clue 4, the Economics student got a Third.
- From Clue 6, Sally’s degree is worse than the St Mark’s student’s degree. If Sally were the Economics student, her degree would be a Third, which is worse than any other degree. Therefore, Sally is the Economics student.
- So, Sally studied Economics and got a Third.

#### Deduction 4: Identify the Biochemistry student
- From Clue 5, the Biochemistry student is at Canterbury College.
- From Clue 1, one girl studied Archaeology, and the other girl was at Charterhouse College. Since Sally is already identified as a girl (Economics student), the other girl must be Bernice. Therefore, Bernice studied Archaeology.
- This leaves Henry as the Biochemistry student at Canterbury College.

#### Deduction 5: Identify the Classics student
- From Clue 2, Gordon studies Classics.
- From Clue 3, Gordon is the Maths student. So, Gordon studied Classics and got an Upper Second or Lower Second.

#### Deduction 6: Identify the remaining degrees and colleges
- Lawrence is the King Alfred’s student with a First.
- Gordon is the Maths student at Prince of Wales College (since he studies Classics and got a degree better than Pass).
- Sally is the Economics student at St Mark’s College with a Third.
- Bernice is the Archaeology student at Charterhouse College (since she is the other girl and studied Archaeology).
- Henry is the Biochemistry student at Canterbury College.

#### Final Assignments:
- Bernice: Charterhouse College, Archaeology, Upper Second (since her degree is better than Sally’s Third).
- Gordon: Prince of Wales College, Classics, Upper Second.
- Henry: Canterbury College, Biochemistry, Pass (since his degree is the lowest remaining option).
- Lawrence: King Alfred’s College, Mathematics, First.
- Sally: St Mark’s College, Economics, Third.

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Final Answer:

\[
\begin{array}{|c|c|c|c|}
\hline
\textbf{Student} & \textbf{College} & \textbf{Subject} & \textbf{Class} \\
\hline
\text{Bernice} & \text{Charterhouse} & \text{Archaeology} & \text{Upper second} \\
\hline
\text{Gordon} & \text{Prince of Wales} & \text{Classics} & \text{Upper second} \\
\hline
\text{Henry} & \text{Canterbury} & \text{Biochemistry} & \text{Pass} \\
\hline
\text{Lawrence} & \text{King Alfred's} & \text{Mathematics} & \text{First} \\
\hline
\text{Sally} & \text{St Mark's} & \text{Economics} & \text{Third} \\
\hline
\end{array}
\]

\boxed{
\begin{array}{|c|c|c|c|}
\hline
\textbf{Student} & \textbf{College} & \textbf{Subject} & \textbf{Class} \\
\hline
\text{Bernice} & \text{Charterhouse} & \text{Archaeology} & \text{Upper second} \\
\hline
\text{Gordon} & \text{Prince of Wales} & \text{Classics} & \text{Upper second} \\
\hline
\text{Henry} & \text{Canterbury} & \text{Biochemistry} & \text{Pass} \\
\hline
\text{Lawrence} & \text{King Alfred's} & \text{Mathematics} & \text{First} \\
\hline
\text{Sally} & \text{St Mark's} & \text{Economics} & \text{Third} \\
\hline
\end{array}
}