List of top Data Science and Artificial Intelligence Questions

Given the table facts: \[ \text{facts (D1, D2, val)} \] with the following data: 

 Consider the following SQL query: 

 What is the total number of rows produced?

Consider the following algorithm: 


 What will be the output (O/P) of this algorithm?

Consider the following graph with heuristic values: Which of the following represents the correct order of node expansion using the A* search algorithm?

Consider the following sets: \[ A = \{"this", "that"\}, \quad B = \{"that", "other"\}, \quad C = \{"other", "this"\} \] 

 Which of the following sets remain non-empty at the end?

Consider the given graph and shortest paths: The shortest paths given are: \[ a - b - c - d, \quad e - f - g - h, \quad a - f - c - h \] Which of the following cannot be an edge in the original graph?

Consider the following database schema: \[ \text{Person (aadhar CHAR(12) PK, name VARCHAR(32))} \] \[ \text{Customer (name VARCHAR(32), email VARCHAR(32) PK, phone CHAR, aadhar CHAR(12) FK(aadhar))} \] Which of the following statements is/are correct?

Given the relation: \[ R = \{A, B, C, D, E, F, G\} \] With the following functional dependencies (FDs): \[ A \rightarrow BCEF, \quad E \rightarrow DG, \quad BC \rightarrow A \] Which of the following statements is correct?

Suppose that insertion sort is applied to the array \([1,2,3,5,7,9,11,x,15,13]\) and it takes exactly 2 swaps to sort the array. Select all possible values of \( x \).

When does the worst case of binary search occur?

Given the lists: \[ A = [1,2,3], \quad B = [4,5,6] \] Which of the following statements will result in \[ A = [1,2,3,4,5,6]? \]

Let f: R→ R be a function. Note: R denotes the set of real numbers.
\(f(x) = \left\{ \begin{array}{ll} -x, & \text{if } x < -2 \\ ax^2+bx+c, & \text{if }\ x \in[-2,2]\\ x, & \text{if } x>2 \end{array} \right.\)
Which ONE of the following choices gives the values of a, b, c that make the function f continuous and differentiable ?

Consider the dataset with six datapoints : {(x₁, y₁), (x₂, y₂), ..., (x₆, y₆)}, where x₁ = \(\begin{bmatrix} 1 \\ 0 \end{bmatrix}\), x₂ = \(\begin{bmatrix} 0 \\ 1 \end{bmatrix}\), x₃ = \(\begin{bmatrix} 0 \\ -1 \end{bmatrix}\), x₄ = \(\begin{bmatrix} -1 \\ 0 \end{bmatrix}\), x₅ = \(\begin{bmatrix} 2\\ 2 \end{bmatrix}\), x6 = \(\begin{bmatrix} -2 \\ -2 \end{bmatrix}\) and the labels are given by y₁ = y₂ = y₅ = 1, and y₃ = y₄ = y₆ = -1 .A hard  margin linear support vector machine is trained on the above dataset. Which ONE of the following sets is a possible set of support vectors?

A fair six-sided die (with faces numbered 1, 2, 3, 4, 5, 6) is repeatedly thrown independently.
What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen ?

Given a dataset with K binary-valued attributes (where K > 2) for a two-class classification task, the number of parameters to be estimated for learning a naïve Bayes classifier is

Consider a state space where the start state is number 1. The successor function for the state numbered n returns two states numbered n+1 and n+2. Assume that the states in the unexpanded state list are expanded in the ascending order of numbers and the previously expanded states are not added to the unexpanded state list.
Which ONE of the following statements about breadth-first search (BFS) and depth-first search (DFS) is true, when reaching the goal state number 6 ?

Evaluate the following limit :
\(\lim\limits_{x\rightarrow0}\frac{\text{ln}((x^2+1)\cos x)}{x^2}\) = ________.

Two fair coins are tossed independently. X is a random variable that takes a value of 1 if both tosses are heads and 0 otherwise. Y is a random variable that takes a value of 1 if at least one of the tosses is heads and 0 otherwise.
The value of the covariance of X and Y is _________ (rounded off to three decimal places).

Consider the following tree traversals on a full binary tree :
(i) Preorder
(ii) Inorder
(iii) Postorder
Which of the following traversal options is/are sufficient to uniquely reconstruct the full binary tree ?

Consider the 3 × 3 matrix M = \(\begin{bmatrix} 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 \end{bmatrix}.\)
The determinant of (M² + 12M) is ________.

Consider the following sorting algorithms:
(i) Bubble sort
(ii) Insertion sort
(iii) Selection sort
Which ONE among the following choices of sorting algorithms sorts the numbers in the array [4, 3, 2, 1, 5] in increasing order after exactly two passes over the array ?

Let f: R → R be the function \(f(x) = \frac{1}{1+e^{-x}}\)
The value of the derivative of ƒ at x where f(x) = 0.4 is ______
(rounded off to two decimal places).
Note: R denotes the set of real numbers.

Select all choices that are subspaces of \(\R^3\).
Note : \(\R\) denotes the set of real numbers.

Let \(u=\begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{bmatrix}\), and let σ₁, σ₂, σ₃, σ₄, σ₅ be the singular values of the matrix M= uu^T (where u^T is the transpose of u).The value of \(Σ^{5}_{i=1}σ_i\) is

Consider a joint probability density function of two random variables X and Y
\(f_{x,y}(x,y) = \left\{ \begin{array}{ll} 2xy, & 0\lt x \lt2 , & 0\lt y\lt x\\ 0 & \text{otherwise } \end{array} \right.\)
Then, E[Y | X = 1.5] is ______.