GATE Mathematics Practice Paper 2 Questions And Answers
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Mathematics Practice Paper 2 Questions And Answers
1. The possible set of eigen values of a 4*4 skew-symmetric orthogonal real matrix is
Mathematics Practice Paper 2 Questions And Answers
4. Let f:℠→℠be a continuous function with f(1)=5 and f(3)=11. If g(x) = then g′(0) is equal to ______
Mathematics Practice Paper 2 Questions And Answers
5. Let P be a 2*2 complex matrix such that trace(P) = 1 and det(P)=−6. Then, trace (P4 - P3) is ______
Mathematics Practice Paper 2 Questions And Answers
6. Suppose that R is a unique factorization domain and that a,b ∈R are distinct irreducible elements. Which of the following statements is TRUE?
Mathematics Practice Paper 2 Questions And Answers
7. Let X be a compact Hausdorff topological space and let Y be a topological space. Let f: X --> Y be a bijective continuous mapping. Which of the following is TRUE?
Mathematics Practice Paper 2 Questions And Answers
8. Consider the linear programming problem:
Maximize x + 3/2 y
subject to 2x + 3y ≤ 16
x + 4y ≤ 18
x ≥ 0, y ≥ 0.
If ð‘†ð‘† denotes the set of all solutions of the above problem, then
Mathematics Practice Paper 2 Questions And Answers
9. Which of the following groups has a proper subgroup that is NOT cyclic?
Mathematics Practice Paper 2 Questions And Answers
11. Suppose the random variable U has uniform distribution on [0,1] and X =−2logU. The density of X is
Mathematics Practice Paper 2 Questions And Answers
12. Let f be an entire function on ℂ such that |f(z)| ≤ 100 log|z| for each z with |z| ≥ 2. If F(i) = 2i then f(1)
Mathematics Practice Paper 2 Questions And Answers
13. The number of group homomorphisms from ℤ3 to ℤ9 is ______
then g²(0) is equal to ______