GATE CSE · Computer Science and Information Technology
Engineering Mathematics
Discrete Mathematics, Linear Algebra, Calculus, Probability and Statistics — foundational mathematics for computer science.
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Take a full mock →Q1 · Engineering Mathematics · MEDIUM
Let A be a 3×3 matrix with eigenvalues 2, 3, and 5. What is the determinant of the matrix (A² - 4I), where I is the identity matrix?
Q2 · Engineering Mathematics · MEDIUM
Consider a graph G with 9 vertices and 14 edges. If G is a connected planar graph, what is the number of faces (including the outer face) in G?
Q3 · Engineering Mathematics · EASY
Let A be a 3×3 matrix with eigenvalues 2, 3, and 5. What is the determinant of the matrix (A - I), where I is the 3×3 identity matrix?
Q4 · Engineering Mathematics · MEDIUM
A fair coin is tossed repeatedly until a head appears. What is the probability that an even number of tosses is required?
Q5 · Engineering Mathematics · HARD
The probability that a randomly chosen 3-digit number (from 100 to 999 inclusive) is divisible by 7 is closest to: