Explore topic-wise MCQs in Data Structures and Algorithms.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Data Structures and Algorithms knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the value stored in arr[2][3] when the following code is executed?

A. 64000
B. 60000
C. 24000
D. 12000View Answer
Answer» C. 24000
Discussion
2.

What is the space complexity of the following dynamic programming implementation of the matrix chain problem?

A. O(1)
B. O(n)
C. O(n2)
D. O(n3)View Answer
Answer» D. O(n3)View Answer
Discussion
3.

What is the time complexity of the following dynamic programming implementation of the matrix chain problem?

A. O(1)
B. O(n)
C. O(n2)
D. O(n3)View Answer
Answer» E.
Discussion
4.

Consider the following dynamic programming implementation of the matrix chain problem: Which of the following lines should be inserted to complete the above code?

A. arr[row][k] – arr[k + 1][col] + mat[row – 1] * mat[k] * mat[col];
B. arr[row][k] + arr[k + 1][col] – mat[row – 1] * mat[k] * mat[col];
C. arr[row][k] + arr[k + 1][col] + mat[row – 1] * mat[k] * mat[col];
D. arr[row][k] – arr[k + 1][col] – mat[row – 1] * mat[k] * mat[col];View Answer
Answer» D. arr[row][k] – arr[k + 1][col] – mat[row – 1] * mat[k] * mat[col];View Answer
Discussion
5.

Which of the following is the recurrence relation for the matrix chain multiplication problem where mat[i-1] * mat[i] gives the dimension of the ith matrix?

A. dp[i,j] = 1 if i=j dp[i,j] = min{dp[i,k] + dp[k+1,j]}
B. dp[i,j] = 0 if i=j dp[i,j] = min{dp[i,k] + dp[k+1,j]}
C. dp[i,j] = 1 if i=j dp[i,j] = min{dp[i,k] + dp[k+1,j]} + mat[i-1]*mat[k]*mat[j].
D. dp[i,j] = 0 if i=j dp[i,j] = min{dp[i,k] + dp[k+1,j]} + mat[i-1]*mat[k]*mat[j].
Answer» E.
Discussion
6.

WHAT_IS_THE_TIME_COMPLEXITY_OF_THE_ABOVE_DYNAMIC_PROGRAMMING_IMPLEMENTATION_OF_THE_MATRIX_CHAIN_PROBLEM??$

A. O(1)
B. O(n)
C. O(n<sup>2</sup>)
D. O(n<sup>3</sup>)
Answer» D. O(n<sup>3</sup>)
Discussion
7.

What_is_the_space_complexity_of_the_above_dynamic_programming_implementation_of_the_matrix_chain_problem?$

A. O(1)
B. O(n)
C. O(n<sup>2</sup>)
D. O(n<sup>3</sup>)
Answer» B. O(n)
Discussion
8.

64000

A. 70000
B. 120000
C. 150000
Answer» D.
Discussion
9.

Consider the brute force implementation in which we find all the possible ways of multiplying the given set of n matrices. What is the time complexity of this implementation?

A. O(n!)
B. O(n<sup>3</sup>)
C. O(n<sup>2</sup>)
D. Exponential
Answer» E.
Discussion
10.

Consider the matrices P, Q, R and S which are 20 x 15, 15 x 30, 30 x 5 and 5 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the four matrices?

A. 6050
B. 7500
C. 7750
D. 12000
Answer» D. 12000
Discussion
11.

Consider the matrices P, Q and R which are 10 x 20, 20 x 30 and 30 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the three matrices?

A. 18000
B. 12000
C. 24000
D. 32000
Answer» B. 12000
Discussion
12.

Consider the two matrices P and Q which are 10 x 20 and 20 x 30 matrices respectively. What is the number of multiplications required to multiply the two matrices?

A. 10*20
B. 20*30
C. 10*30
D. 10*20*30
Answer» E.
Discussion
13.

Which of the following methods can be used to solve the matrix chain multiplication problem?

A. Dynamic programming
B. Brute force
C. Recursion
D. All of the mentioned
Answer» E.
Discussion