GATE 2026 DA – Previous Year Questions with Solutions
All 65 questions of GATE 2026 DA with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Verbosity : Brevity :: Insolence : Choose the word that best fills the blank.
- Question 2 – The product of the digits of a three-digit number is 70. The sum of the digits of this three-digit number is
- Question 3 – The four pieces of a puzzle are shown in the figure below.
- Question 4 – Consider two distinct positive real numbers m, n, with m > n. Let x = n 10(m) and y = m 10(n). The relation between x and y is .
- Question 5 – 'If his latest movie had been a commercial success, the actor would have made enough money to sponsor his next movie.' Based only on the above…
- Question 6 – 'My friend and I parted the door the cabin that I had rented the night.' Choose the option with the correct sequence of words to fill the blanks.
- Question 7 – Five integers are picked from 0 to 20, with possible repetitions, such that their mean is 12, median is 18, and they have a single mode of 20.…
- Question 8 – Rishi and Swathi are students of Class 5. Pavan and Tanvi are students of Class 4. Rishi and Pavan are boys. Swathi and Tanvi are girls. The four…
- Question 9 – P, Q, R, S, X, and Y are distinct single-digit whole numbers taking values from 0 to 9. PQ is a two-digit number with Q being in the units place and P…
- Question 10 – In the given figure, P, Q, and R are three points on a circle of radius 10 cm with O as its center, PQ = RQ, and PQR = 45°. The figure is…
- Question 11 – For a classification problem, Principal Component Analysis (PCA) has been used to reduce the dimensionality of a feature space from 100 to 10. Which…
- Question 12 – Consider that you are training a classifier for a 10-class classification problem. Each input is represented as a 512-dimensional vector. There are…
- Question 13 – Which of the following algorithms is NOT an example of uninformed search?
- Question 14 – Which of the following statements is NOT true? (The names of the predicates are intuitive.)
- Question 15 – Consider that the quick sort algorithm is used to sort an array of n distinct randomly ordered elements. In every call, the pivot is chosen as the…
- Question 16 – Consider the given Python program. Which of the following is the correct output of this program?
- Question 17 – Let R(A,B,C,D,E) be a relational schema with functional dependency set F = \A BC,\ CD E,\ E A\. Which of the following statements is correct?
- Question 18 – Consider that the visualization of a 3-dimensional data cube is showing Sales Quantity for each combination of the attributes Product Type, Month and…
- Question 19 – Let M be a randomly chosen non-empty subset of S = \1, 2, 3, , 2026\. Which of the following is the probability that the product of all the elements…
- Question 20 – Suppose that a computer program provides a non-negative and integer-valued random solution to the equation n 1 + n 2 + n 3 + n 4 = 20. Which of the…
- Question 21 – Let M = pmatrix & \\ - & pmatrix be a 2 2 matrix, where = 25, and I 2 = pmatrix 1 & 0 \\ 0 & 1 pmatrix. Which of the following options is equal to…
- Question 22 – Consider a set S 1 = \x = (x 1, x 2, x 3)T R3 xTx 16\. Let S 2 be another set which is a subspace of R3 with dimension two. Which of the following…
- Question 23 – In the following table, the Task column lists a few tasks related to machine learning. The Algorithm column lists a few algorithms. Each entry 't'…
- Question 24 – Sentence X is said to entail Sentence Y if whenever X is TRUE, Y also must hold TRUE. Which of the following statements is/are correct if X entails Y?
- Question 25 – You are given the following Pre-order and In-order traversals of a Binary Tree T with nodes E, F, G, P, Q, R, S. Pre-order: P Q S E R F G In-order: S…
- Question 26 – Consider two relations r and s defined on the relational schemas R(A,B) and S(E,C), respectively. A is the primary key of R and E is a foreign key of…
- Question 27 – Let f(x) = x3 - 3x2 + 2 be a function defined on (-1, 3]. Which of the following statements is/are correct?
- Question 28 – Suppose a random variable Z follows Normal( = 0, 2 = 1) distribution with probability density function g(z) and cumulative distribution function G(z).…
- Question 29 – Consider that for a supervised learning task, the objective function being minimized is f w(x) = wx, where x R is the input and w R is the parameter.…
- Question 30 – Consider the game tree for a two-player turn-taking minimax game as shown in the figure. The value of a terminal node represents the utility of the…
- Question 31 – Let A be a sorted array containing 1000 distinct integers. You perform a recursive binary search on A to find an element y. Suppose each comparison…
- Question 32 – In a relational database, a B+ Tree Index is to be constructed for a relation on a key field. In a B+ Tree, a Node Pointer points to a sub-tree and a…
- Question 33 – The number of bijections f() from the set S = \1, 2, 3, 4\ to itself such that f(f(n)) = n, for all n S, is . (*Answer in integer*)
- Question 34 – Let X be an exponentially distributed random variable with mean \ (> 0). If P(X > 5) = 0.35, then the conditional probability P(X > 10 X > 5) is .…
- Question 35 – The value of i=0 j=1 2-i\,3-j is . (*Answer in integer*)
- Question 36 – Let four points in three-dimensional space be: P1: [2, 3, -1], P2: [3, 1, 1], P3: [5, -2, 3] and P4: [3, 3, 3]. Hierarchical Agglomerative Clustering…
- Question 37 – Which of the following statements is true for Ridge Regression?
- Question 38 – Assume that a Creative (C) person will Succeed (S) if the person is also Disciplined (D), but will not succeed otherwise. Now, consider the following…
- Question 39 – A recursive function in Python is given. Now, consider the following function call: Assume that a typical runtime stack is used to manage function…
- Question 40 – Consider a directed graph G = (V, E), where V is the finite set of vertices and E is the set of directed edges between the vertices. G may contain…
- Question 41 – Consider a B+ Tree where the maximum number of key values in each leaf node is 2 and the maximum number of pointers in each non-leaf node is 3. Let…
- Question 42 – Consider the given relations X, Y and Z. The relation X has three columns P, Q and R. The relation Y has three columns P, Q and S. The relation Z has…
- Question 43 – Consider the concept hierarchies as shown in the figure. Which of the following options denotes the total number of possible data cuboids from these…
- Question 44 – Let X and Y be two independent random variables. X follows Bernoulli(p = 0.3) distribution and Y follows Normal( = 0, 2 = 100) distribution. Which of…
- Question 45 – Let L = n k=0n e-nnkk! Which of the following is the value of L?
- Question 46 – Let 1, 2, 3 be the eigenvalues of the matrix bmatrix 1 & 0 & 0 \\ 0 & t & t \\ 0 & - t & t bmatrix, where t [-, ] is in radians. Which one of the…
- Question 47 – Consider that 20 stories of Author X and 10 stories of Author Y were kept together without mentioning the names of the authors. A classifier was then…
- Question 48 – Let P(x) be a predicate. Which of the following statements is/are NOT valid in first-order logic?
- Question 49 – Consider the problem of sorting the given array in ascending order: P = [1, 2, 3, 5, 4] Consider two sorting algorithms Bubble Sort (BS) and Insertion…
- Question 50 – Consider the given Python program. Which of the following options is/are correct?
- Question 51 – Consider a table Employee(EmpID, TeamID), where the column EmpID (ID of an employee) is the primary key. The column TeamID denotes the team ID of the…
- Question 52 – Let M = (I n - 1n11T) be a matrix, where 1 = (1, 1, 1, , 1)T Rn and I n is the identity matrix of order n. Which of the following options is/are…
- Question 53 – Let X 1, X 2, , X n be n independent random variables. Each of the random variables follows Normal( = 0, 2 = 1) distribution. Define X = 1n i=1n X i.…
- Question 54 – Let X be a discrete valued random variable with cumulative distribution function F(x). Which of the following statements is/are correct?
- Question 55 – Consider that Linear Ridge Regression is being used to learn a prediction function y pred = wTx, where w, x R2 and Mean Absolute Error (MAE) is used…
- Question 56 – Consider a fully-connected feed-forward multi-layer perceptron. It has 30 neurons in the input layer, followed by two hidden layers and an output…
- Question 57 – A clinic specializes in testing for a disease D. The result of the test can be either positive or negative. A study revealed that if a person suffers…
- Question 58 – Consider the given Python program. The output of the program is . (*Answer in integer*)
- Question 59 – Let there be two relations X and Y as shown. X has three columns P, Q and R. Y has two columns P and S. X: P Q R --- --- --- P1 Q1 R1 P2 Q2 R2 P3 Q3…
- Question 60 – Let Account be a relation as shown. AccNo Balance --- --- A1 5000 A2 5000 A3 10000 A4 15000 A5 18000 Consider the given SQL query. The number of rows…
- Question 61 – Consider an ER model with the entities E1(A11,A12,A13) and E2(A21,A22,A23), where, A11, A12, A13 are the attributes of E1, and A21, A22, A23 are the…
- Question 62 – For a given data set \x 1, x 2, , x n\, where n = 100, it is known that 12000 i=1n j=1n(x i - x j)2 = 99 Let us denote x = 1n i=1n x i. The value of…
- Question 63 – Let X be a random variable that follows Uniform(-1, 1) distribution. The conditional distribution of the random variable Y given X = x is the…
- Question 64 – Let A 5 5 be a matrix such that each of its elements follows Bernoulli(p = 0.50) distribution independently. The probability that the row-sum of the…
- Question 65 – Let A = (I n - 1n11T) be a matrix, where 1 = (1, 1, 1, , 1)T Rn and I n is the identity matrix of order n. The value of x S xTAx, where S = \x Rn xTx…