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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 3 of 5 • Questions 21-30 of 50
Q21easy

What is the number of ways to arrange the letters in "GATE"?

Q22easy

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.4, what is P(A ∪ B)?

Q23easy

What is the rank of a 4×4 identity matrix?

Q24easy

What is the value of ∫ e^x dx?

Q25easy

What is the number of edges in a tree with n vertices?

Q26medium

What is the value of lim(x→0) (1 - cos(x))/x?

Q27medium

If P(A|B) = 0.6 and P(B) = 0.5, what is P(A ∩ B)?

Q28easy

What is the determinant of a 2×2 matrix [[a, b], [c, d]]?

Q29medium

What is the value of ∫₀^π sin(x) dx?

Q30medium

How many functions are possible from a set of 3 elements to a set of 2 elements?

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