Question
A. You have a large jug of 12 liters of olive oil and two empty smaller vessels, one of 5 liters and one of 8 liters. Can you divide the oil you have into two equal parts, if you only have these vessels and no additional measuring tools?
B. The same question, but instead of the 5-liter vessel, you have a 4-liter vessel.
Difficulty level (1 very easy - 10 very hard): 1
Topics:
Number Theory
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Modular Arithmetic / Remainder Arithmetic
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Divisibility Rules
Combinatorics
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Invariants
Logic
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Reasoning / Logic
Number Theory
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Division
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Parity (Even/Odd)
Proof and Example
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Constructing an Example / Counterexample
Number Theory
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Greatest Common Divisor (GCD) and Least Common Multiple (LCM)
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Euclidean Algorithm
Combinatorics
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Case Analysis / Checking Cases
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Processes / Procedures
Proof and Example
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Proof by Contradiction
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