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GATE CS - Engineering Mathematics

Test your knowledge of linear algebra, calculus, probability, and discrete mathematics for GATE CS

50 questions•5 pages•~75 min

Use this quiz track to strengthen recall, speed, and exam-style decision making. Attempt one page first, review explanations, and then re-attempt incorrect questions without notes.

A good scoring strategy is to mark uncertain questions, finish known ones quickly, and return with elimination logic. This improves accuracy while keeping momentum under time constraints.

Progress: 0 / 500%
Page 2 of 5 • Questions 11-20 of 50
Q11medium

What is the trace of a 3×3 matrix with eigenvalues 2, 3, and 5?

Q12easy

What is the value of ∫₀¹ x² dx?

Q13medium

If two dice are rolled, what is the probability of getting a sum of 7?

Q14medium

What is the number of ways to choose 3 items from 10 distinct items?

Q15hard

What is the inverse of the matrix [[1, 2], [3, 4]]?

Q16medium

What is lim(x→∞) (x² + 3x) / (2x² - 5)?

Q17easy

What is the mean of the numbers 2, 4, 6, 8, 10?

Q18medium

What is the variance of the numbers 1, 3, 5, 7, 9?

Q19medium

How many binary relations are possible on a set with n elements?

Q20easy

What is the value of d/dx(e^(2x))?

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