GATE 2024 DA – Previous Year Questions with Solutions
All 65 questions of GATE 2024 DA with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If '→' denotes increasing order of intensity, then the meaning of the words [sick → infirm → moribund] is analogous to [silly → → daft]. Which one of…
- Question 2 – The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The…
- Question 3 – How many 4-digit positive integers divisible by 3 can be formed using only the digits 1, 3, 4, 6, 7, such that no digit appears more than once in a…
- Question 4 – The sum of the following infinite series is 2 + 12 + 13 + 14 + 18 + 19 + 116 + 127 +
- Question 5 – In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of…
- Question 6 – Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people…
- Question 7 – The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one…
- Question 8 – Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table. Mutual…
- Question 9 – Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is
- Question 10 – Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes…
- Question 11 – Consider the following statements: (i) The mean and variance of a Poisson random variable are equal. (ii) For a standard normal random variable, the…
- Question 12 – Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in…
- Question 13 – Consider the matrix M = bmatrix 2 & -1 \\ 3 & 1 bmatrix. Which ONE of the following statements is TRUE?
- Question 14 – Consider performing depth-first search (DFS) on an undirected and unweighted graph G starting at vertex s. For any vertex u in G, d[u] is the length…
- Question 15 – For any twice differentiable function f: R R, if at some x* R, f'(x*) = 0 and f''(x*) > 0, then the function f necessarily has a at x = x*.
- Question 16 – Match the items in Column 1 with the items in Column 2 in the following table: Column 1 Column 2 --- --- (p) First In First Out (i) Stacks (q) Lookup…
- Question 17 – Consider the dataset with six datapoints: \(x 1, y 1), (x 2, y 2), , (x 6, y 6)\, where x 1 = bmatrix1\\0bmatrix, x 2 = bmatrix0\\1bmatrix, x 3 =…
- Question 18 – Match the items in Column 1 with the items in Column 2 in the following table: Column 1 Column 2 --- --- (p) Principal Component Analysis (i)…
- Question 19 – Euclidean distance based k-means clustering algorithm was run on a dataset of 100 points with k = 3. If the points bmatrix1\\1bmatrix and…
- Question 20 – 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…
- Question 21 – Consider performing uniform hashing on an open address hash table with load factor = nm < 1, where n elements are stored in the table with m slots.…
- Question 22 – For any binary classification dataset, let S B Rd d and S W Rd d be the between-class and within-class scatter (covariance) matrices, respectively.…
- Question 23 – Let h 1 and h 2 be two admissible heuristics used in A* search. Which ONE of the following expressions is always an admissible heuristic?
- Question 24 – Consider five random variables U, V, W, X, and Y whose joint distribution satisfies: P(U, V, W, X, Y) = P(U)P(V)P(W U, V)P(X W)P(Y W) Which ONE of the…
- Question 25 – Consider the following statement: In adversarial search, – pruning can be applied to game trees of any depth where is the (m) value choice we have…
- Question 26 – Consider a database that includes the following relations: Defender(name, rating, side, goals) Forward(name, rating, assists, goals) Team(name, club,…
- Question 27 – Let the minimum, maximum, mean and standard deviation values for the attribute income of data scientists be ₹46000, ₹170000, ₹96000, and ₹21000,…
- Question 28 – Consider the following tree traversals on a full binary tree: (i) Preorder (ii) Inorder (iii) Postorder Which of the following traversal options…
- Question 29 – Let x and y be two propositions. Which of the following statements is a tautology /are tautologies?
- Question 30 – Consider sorting the following array of integers in ascending order using an in-place Quicksort algorithm that uses the last element as the pivot. 60…
- Question 31 – Consider the following two tables named Raider and Team in a relational database maintained by a Kabaddi league. The attribute ID in table Team…
- Question 32 – The fundamental operations in a double-ended queue D are: insertFirst(e) – Insert a new element e at the beginning of D. insertLast(e) – Insert a new…
- Question 33 – Let f: R R be the function f(x) = 11 + e-x. The value of the derivative of f at x where f(x) = 0.4 is (rounded off to two decimal places).
- Question 34 – The sample average of 50 data points is 40. The updated sample average after including a new data point taking the value of 142 is .
- Question 35 – Consider the 3 3 matrix M = bmatrix 1 & 2 & 3 \\ 3 & 1 & 3 \\ 4 & 3 & 6 bmatrix. The determinant of (M2 + 12M) is .
- Question 36 – 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…
- Question 37 – Let f: R R be a function. f(x) = cases -x, & if x < -2 \\ ax2 + bx + c, & if x [-2, 2] \\ x, & if x > 2 cases Which ONE of the following choices gives…
- Question 38 – Consider the following Python code: Which ONE of the following is the output of this code?
- Question 39 – Consider the function computeS(X) whose pseudocode is given below: Which ONE of the following values is returned by the function computeS(X) for X =…
- Question 40 – Let F(n) denote the maximum number of comparisons made while searching for an entry in a sorted array of size n using binary search. Which ONE of the…
- Question 41 – Consider the following Python function: What does this Python function fun() do? Select the ONE appropriate option below.
- Question 42 – Consider the table below, where the (i, j)th element of the table is the distance between points x i and x j. Single linkage clustering is performed…
- Question 43 – Consider the two neural networks (NNs) shown in Figures 1 and 2, with ReLU activation (ReLU(z) = \0, z\, z R). R denotes the set of real numbers. The…
- Question 44 – 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.…
- Question 45 – Consider the following sorting algorithms: (i) Bubble sort (ii) Insertion sort (iii) Selection sort Which ONE among the following choices of sorting…
- Question 46 – Given the relational schema R = (U, V, W, X, Y, Z) and the set of functional dependencies: \U V, U W, WX Y, WX Z, V X\ Which of the following…
- Question 47 – Select all choices that are subspaces of R3. Note: R denotes the set of real numbers.
- Question 48 – Which of the following statements is/are TRUE? Note: R denotes the set of real numbers.
- Question 49 – Let R be the set of real numbers, U be a subspace of R3 and M R3 3 be the matrix corresponding to the projection on to the subspace U. Which of the…
- Question 50 – Consider the function f: R R where R is the set of all real numbers. f(x) = x44 - 2x33 - 3x22 + 1 Which of the following statements is/are TRUE?
- Question 51 – Consider the directed acyclic graph (DAG) below: [Figure: a DAG with the edges P → Q, R → Q, Q → S, Q → V, S → U and V → T.] Which of the following…
- Question 52 – Let H, I, L, and N represent height, number of internal nodes, number of leaf nodes, and the total number of nodes respectively in a rooted binary…
- Question 53 – Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares. [Figure:…
- Question 54 – Let game(ball, rugby) be true if the ball is used in rugby and false otherwise. Let shape(ball, round) be true if the ball is round and false…
- Question 55 – An OTT company is maintaining a large disk-based relational database of different movies with the following schema: Movie(ID, CustomerRating)…
- Question 56 – Let X be a random variable uniformly distributed in the interval [1, 3] and Y be a random variable uniformly distributed in the interval [2, 4]. If X…
- Question 57 – Let X be a random variable exponentially distributed with parameter > 0. The probability density function of X is given by: f X(x) = e- x for x 0 and…
- Question 58 – Consider two events T and S. Let T denote the complement of the event T. The probability associated with different events are given as follows: P(T) =…
- Question 59 – Consider a joint probability density function of two random variables X and Y: f X,Y(x, y) = cases 2xy, & 0 < x < 2,\ 0 < y < x \\ 0, & otherwise…
- Question 60 – Evaluate the following limit: x 0((x2 + 1) x)x2 = .
- Question 61 – Let u = [1, 2, 3, 4, 5]T, and let 1, 2, 3, 4, 5 be the singular values of the matrix M = uuT (where uT is the transpose of u). The value of i=15 i is…
- Question 62 – Details of ten international cricket games between two teams "Green" and "Blue" are given in Table C. This table consists of matches played on…
- Question 63 – Given the two-dimensional dataset consisting of 5 data points from two classes (circles and squares) and assume that the Euclidean distance is used to…
- Question 64 – Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables: [Figure: a…
- Question 65 – 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…