Artificial Intelligence Question Bank with Answers : part 2

Artificial Intelligence Question Bank with Answers : part 2

Vellore Institute of Technology, Vellore campus

Artificial Intelligence Question Bank with Answers : part 1 link click here

Q10.Write the steps of Breadth-first search (BFS) algorithm.

Q10 Answer: Breadth-first-search Algorithm :

image.png

Q11.Write the steps of Depth-first search (DFS) algorithm.

Q11 Answer: Depth-first-search Algorithm :

image.png

Q12.Solve the following water jug problem using BFS and DFS algorithms: 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?

Q12 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)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm:

image.png

Q13.Solve the following water jug problem using BFS and DFS algorithms: 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?

Q13 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)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm:

image.png

Q14.Solve the following water jug problem using BFS and DFS algorithms: 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? Q14 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)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm:

image.png

Q15.Solve the following water jug problem using BFS and DFS algorithms: 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?

Q15 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)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm:

image.png Q16.Solve the following water jug problem using BFS and DFS algorithms: 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?

Q16 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)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm:

image.png

Q17.Solve the following Water jug problem using BFS and DFS algorithm: you are given two jugs, 6-litre one and 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 exactly can you get 2 litres of water into a 5-litre jug?

Q17 Answer :

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

The Start state or Initial state=(0,0)

The Goal state=(x,2)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm:

image.png

Q18.Solve the following Water jug problem using BFS and DFS algorithm: 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 exactly can you get 2 gallons of water into a 6-gallon jug?

Q18 Answer :

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

The Start state or Initial state=(0,0)

The Goal state=(2,y)

Solution using BFS Algorithm:

image.png

Solution using DFS Algorithm: image.png

Q19.Solve the following Water jug problem using BFS and DFS algorithm: 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 exactly can you get 2 gallons of water into a 5-gallon jug?

Q19 Answer :

The state space for this problem can be described as 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 amount of water in the 6-gallon jug and y represents the amount of water in the 5-gallon jug.

The Start state or Initial state=(0,0)

The Goal state=(x,2)

Solution using BFS Algorithm: image.png

Solution using DFS Algorithm: image.png

Artificial Intelligence Question Bank with Answers: part 3 click here

Did you find this article valuable?

Support naveenkumar j by becoming a sponsor. Any amount is appreciated!