Engineering Questions with Answers - Multiple Choice Questions

# Stable Marriage Problem MCQ’s

1 - Question

Stable marriage problem is an example of?
a) Branch and bound algorithm
b) Backtracking algorithm
c) Greedy algorithm
d) Divide and conquer algorithm

Explanation: Stable marriage problem is an example for recursive algorithm because it recursively uses backtracking algorithm to find an optimal solution.

2 - Question

Which of the following algorithms does Stable marriage problem uses?
a) Gale-Shapley algorithm
b) Dijkstra’s algorithm
c) Ford-Fulkerson algorithm
d) Prim’s algorithm

Explanation: Stable marriage problem uses Gale-Shapley algorithm. Maximum flow problem uses Ford-Fulkerson algorithm. Prim’s algorithm involves minimum spanning tree.

3 - Question

An optimal solution satisfying men’s preferences is said to be?
a) Man optimal
b) Woman optimal
c) Pair optimal
d) Best optimal

Explanation: An optimal solution satisfying men’s preferences are said to be man optimal. An optimal solution satisfying woman’s preferences are said to be woman optimal.

4 - Question

When a free man proposes to an available woman, which of the following happens?
a) She will think and decide
b) She will reject
c) She will replace her current mate
Explanation: When a man proposes to an available woman, she will accept his proposal irrespective of his position on his preference list.t

Explanation: When a man proposes to an available woman, she will accept his proposal irrespective of his position on his preference list.

5 - Question

If there are n couples who would prefer each other to their actual marriage partners, then the assignment is said to be unstable.
a) True
b) False

Explanation: If there are n couples such that a man and a woman are not married, and if they prefer each other to their actual partners, the assignment is unstable.

6 - Question

How many 2*2 matrices are used in this problem?
a) 1
b) 2
c) 3
d) 4

Explanation: Two 2*2 matrices are used. One for men representing corresponding woman and ranking and the other for women.

7 - Question

What happens when a free man approaches a married woman?
a) She simply rejects him
b) She simply replaces her mate with him
c) She goes through her preference list and accordingly, she replaces her current mate with him
d) She accepts his proposal

Explanation: If the preference of the man is greater, she replaces her current mate with him, leaving her current mate free.

8 - Question

In case of stability, how many symmetric possibilities of trouble can occur?
a) 1
b) 2
c) 4
d) 3

Explanation: Possibilities- There might be a woman pw, preferred to w by m, who herself prefers m to be her husband and the same applies to man as well.

9 - Question

Consider the following ranking matrix. Assume that M1 and W2 are married. Now, M2 approaches W2. Which of the following happens?

a) W2 replaces M1 with M2
b) W2 rejects M2
c) W2 accepts both M1 and M2
d) W2 rejects both M1 and M2

Explanation: W2 is married to M1. But the preference of W2 has M2 before M1. Hence, W2 replaces M1 with M2.

10 - Question

Consider the following ranking matrix. Assume that M1 and W1 are married and M2 and W3 are married. Now, whom will M3 approach first?

a) W1
b) W2
c) W3
d) All three

Explanation: M3 will approach W3 first. Since W3 is married and since her preference list has her current mate before M3, she rejects his proposal

11 - Question

Who formulated a straight forward backtracking scheme for stable marriage problem?
a) McVitie and Wilson
b) Gale
c) Ford and Fulkerson
d) Dinitz

Explanation: McVitie and Wilson formulated a much faster straight forward backtracking scheme for stable marriage problem. Ford and Fulkerson formulated Maximum flow problem.

12 - Question

Can stable marriage cannot be solved using branch and bound algorithm.
a) True
b) False

Explanation: Stable marriage problem can be solved using branch and bound approach because branch and bound follows backtracking scheme with a limitation factor.

13 - Question

What is the prime task of the stable marriage problem?
a) To provide man optimal solution
b) To provide woman optimal solution
c) To determine stability of marriage
d) To use backtracking approach

Explanation: The prime task of stable marriage problem is to determine stability of marriage (i.e) finding a man and a woman who prefer each other to others.

14 - Question

Which of the following problems is related to stable marriage problem?
a) Choice of school by students
b) N-queen problem
c) Arranging data in a database
d) Knapsack problem

Explanation: Choice of school by students is the most related example in the given set of options since both school and students will have a preference list.

15 - Question

What is the efficiency of Gale-Shapley algorithm used in stable marriage problem?
a) O(N)
b) O(N log N)
c) O(N2)
d) O(log N)