GATE DA 2027 | 25-30 Questions Daily - 04-11-2026

Events 𝐴 and 𝐵 satisfy 𝑃(𝐴) > 0, 𝑃(𝐵) > 0 and 𝑃(𝐴 ∣ 𝐵) = 𝑃(𝐴). Which statement necessarily follows?

A random variable 𝑋 has finite expectation and variance. Define 𝑌 = 3𝑋 + 5. Which statement is necessarily correct?

A researcher constructs a 95% confidence interval for an unknown population parameter using repeated samples and the same procedure. Which interpretation is statistically correct?

Let 𝑉 be a vector space and 𝑆 = {𝑣1, 𝑣2, … , 𝑣𝑛} be a linearly independent set in 𝑉. Which statement is necessarily true?

Let 𝐴 be an 𝑛 × 𝑛 real symmetric matrix. Which statement is necessarily true?

Suppose a function 𝑓: ℝ → ℝ is differentiable at 𝑥 = 𝑎. Which statement must hold?

A machine learning model achieves nearly zero training error but performs poorly on unseen test data. Which explanation is most appropriate?

Consider a hard-margin Support Vector Machine trained on linearly separable data. Which statement is correct?

Which statement best explains why Random Forests often generalize better than an individual deep decision tree?

Which property of a heuristic function guarantees that it never overestimates the actual minimum cost from a node to the goal?

In first-order logic, consider the statement ``Every researcher has read at least one paper.’’ Which expression correctly represents this statement?

In a deterministic, two-player, zero-sum game with perfect information, what is the primary purpose of the Minimax algorithm?

An algorithm has the time complexity 𝑇(𝑛) = 𝑇(𝑛/2) + 𝛩(1). Which is its asymptotic time complexity?

In a hash table using separate chaining, what happens to the expected search time when the load factor remains bounded by a constant and the hash function distributes keys uniformly?

Which statement about Breadth-First Search (BFS) in an unweighted graph is correct?

Consider a relation 𝑅(𝐴, 𝐵, 𝐶) with the functional dependencies 𝐴 → 𝐵 and 𝐵 → 𝐶. Which statement is necessarily correct?

Which property of ACID ensures that a transaction’s committed changes survive a system failure?

Consider a B+ tree index. Which statement correctly describes its structure?

Consider the following statements: 1. All analysts are researchers. 2. Some researchers are programmers. 3. No programmer is a manager. Which conclusion is necessarily true?

Two random variables 𝑋 and 𝑌 have finite second moments and satisfy 𝐸[𝑋] = 𝐸[𝑌] = 0, 𝐸[𝑋2] = 𝐸[𝑌2] = 1 and 𝐸[𝑋𝑌] = 0. Which conclusion is necessarily valid?

Let 𝑓: ℝ𝑛 → ℝ be differentiable and convex. Suppose ∇𝑓(𝑥∗) = 0. Which conclusion necessarily follows?

Suppose the objective is to classify an observation 𝑋 into a class 𝑌. Which statement correctly distinguishes generative and discriminative approaches?

Consider a Bayesian network with the structure 𝐴 → 𝐵 → 𝐶. Which statement correctly describes the conditional independence property?

A binary search tree contains 𝑛 distinct keys. Its inorder traversal produces the keys in sorted order. Which additional condition is sufficient to guarantee that the height of the tree is 𝛩(log𝑛)?

Consider a database schedule containing only read and write operations. Which statement is correct?