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GATE CS - Engineering Mathematics

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

50 questions5 pages~75 min
Progress: 0 / 500%
Page 1 of 5 • Questions 1-10 of 50
Q1easy

What is the determinant of the matrix [[2, 3], [4, 5]]?

Q2medium

If A is a 3×3 matrix with eigenvalues 1, 2, and 3, what is the determinant of A?

Q3easy

What is the value of lim(x→0) sin(x)/x?

Q4easy

In a deck of 52 cards, what is the probability of drawing an ace?

Q5easy

What is the number of ways to arrange 5 distinct books on a shelf?

Q6medium

If P(A) = 0.3 and P(B) = 0.4, and A and B are independent, what is P(A ∩ B)?

Q7easy

What is the derivative of f(x) = x³ + 2x² - 5x + 1?

Q8easy

What is the value of ∫(2x + 3)dx?

Q9medium

How many edges does a complete graph with n vertices have?

Q10medium

What is the rank of the matrix [[1, 2, 3], [2, 4, 6], [3, 6, 9]]?

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