# Artificial Intelligence Question Bank with Answers : part 1

## Vellore Institute of Technology, Vellore campus

**Q2.Develop all the production rules for the following water jug problem:
You are given two jugs, 4-litre one and 3-litre one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 litres of water into 4-litre jug?**

**Q2 answer: **

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3 or 4 and y=0,1,2 or 3. Here x represents the number of litres of water in the 4-litre jug and y represents the number of litres of water in the 3-litre jug. The start state or initial state = (0,0) The goal state = (2,y)

**Production rules :**

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Q3.Develop all the production rules for the following water jug problem:
You are given two jugs, 4-litre one and a 3-litre one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 litres of water into 3-litre jug?**

**Q3 answer:**

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3 or 4 and y=0,1,2 or 3. Here x represents the number of litres of water in the 4-litre jug and y represents the number of litres of water in the 3-litre jug. The start state or initial state = (0,0) The goal state = (x,2)

**Production rules :**

**
Q4.Develop all the production rules for the following water jug problem:
You are given two jugs, 4-gallon one and 3-gallon one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 gallons of water into 4-gallon jug?**

**Q4 answer:**

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3 or 4 and y=0,1,2 or 3. Here x represents the number of gallons of water in the 4-gallon jug and y represents the number of gallons of water in the 3-gallon jug. The start state or initial state = (0,0) The goal state = (2,y)

**Production rules : **

**Q5.Develop all the production rules for the following water jug problem:
You are given two jugs, 4-gallon one and 3-gallon one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 gallons of water into 3-gallon jug?**

**Q5 answer:**

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3 or 4 and y=0,1,2 or 3. Here x represents the number of gallons of water in the 4-gallon jug and y represents the number of gallons of water in the 3-gallon jug. The start state or initial state = (0,0) The goal state = (x,2)

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Production rules : **

**Q6.Develop all the production rules for the following water jug problem:
You are given two jugs, 6-litre one and a 5-litre one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 litres of water into 6-litre jug?**

**Q6 answer: **

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3,4,5 or 6 and y=0,1,2,3,4 or 5. Here x represents the number of litres of water in the 6-litre jug. and y represents the number of litres of water in the 5-litre jug. The start state or initial state = (0,0) The goal state = (2,y)

**Production rules : **

**Q7.Develop all the production rules for the following water jug problem:
You are given two jugs, 6-litre one and a 5-litre one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 litres of water into 5-litre jug?**

**Q7 answer:**

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3,4,5 or 6 and y=0,1,2,3,4 or 5. Here x represents the number of litres of water in the 6-litre jug. and y represents the number of litres of water in the 5-litre jug. The start state or initial state = (0,0) The goal state = (x,2)

**Production rules:**

**Q8.Develop all the production rules for the following water jug problem:
You are given two jugs, 6-gallon one and 5-gallon one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 gallons of water into 6-gallon jug?**

**Q8 answer:**

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3,4,5 or 6 and y=0,1,2,3,4 or 5. Here x represents the number of gallons of water in the 6-gallon jug. and y represents the number of gallons of water in the 5-gallon jug. The start state or initial state = (0,0) The goal state = (2,y)

**Production rules : **

**Q9.Develop all the production rules for the following water jug problem:
You are given two jugs, 6-gallon one and 5-gallon one. Neither has any measuring marks on it. There is a pump that can be used to fill the jugs with water. How can we get exactly 2 gallons of water into 5-gallon jug?**

**Q9 answer:**

The state space for this problem can be described as the set of ordered pairs of integers (x,y) such that x=0,1,2,3,4,5 or 6 and y=0,1,2,3,4 or 5. Here x represents the number of gallons of water in the 6-gallon jug and y represents the number of gallons of water in the 5-gallon jug. The start state or initial state = (0,0) The goal state = (x,2)

**Production rules : **

Artificial Intelligence Question Bank with Answers : part 2 click here

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