GATE DA Practice Questions - GATE Data Science and Artificial Intelligence (DA) Exam - GATE DA Practice Questions - GATE Data Science and Artificial Intelligence (DA) Exam

Question 1

A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

2/15 4/25 1/6 3/20

Correct Answer:

2/15

Question 2

Which of the following best describes the central limit theorem (CLT) for an i.i.d. sample of size n from a distribution with finite mean μ and variance σ²?

The sample mean converges to μ as n → ∞ in probability, regardless of the underlying distribution shape The standardized sample mean (X̄ − μ)/(σ/√n) converges in distribution to N(0,1) as n → ∞ The sample variance is always normally distributed for large n The original distribution becomes normal as n increases

Correct Answer:

The standardized sample mean (X̄ − μ)/(σ/√n) converges in distribution to N(0,1) as n → ∞

Question 3

Let A be a 3×3 matrix with eigenvalues 2, 3, and 5. What is the determinant of A?

10 30 15 0

Correct Answer:

Question 4

What is the gradient of f(x, y) = x²y + 3xy² at the point (1, 2)?

(16, 13) (13, 16) (14, 13) (16, 14)

Correct Answer:

(16, 13)

Question 5

Which Python data structure provides average O(1) lookup, insertion, and deletion by key?

list tuple dict set with linear search

Correct Answer:

dict

Question 1

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About this Exam

Prepare with the GATE DA Practice Questions - GATE Data Science and Artificial Intelligence (DA) Exam practice quiz. This question bank includes 100 questions covering matrix, probability, numbers, balls, and data. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

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GATE DA Practice Questions - GATE Data Science and Artificial Intelligence (DA) Exam

This practice set contains 100 questions from the matching question bank and focuses on matrix, probability, numbers, balls, and data. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

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GATE DA Practice Questions - GATE Data Science and Artificial Intelligence (DA) Exam

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