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Question papers of Mathematics Sciences of SET exam As you are looking for the Mathematics Sciences Question papers of SET exam so here I am providing you the same Maximization assignment problem is transformed into a minimization problem by : (A) Substracting all the elements of a column from the highest element of that column (B) Substracting each element of the profit matrix from the highest element of the matrix (C) Substracting all the elements in a row from the highest element of that row (D) Any of the above If f(x) is monotonic increasing on (a, b) and a < c < b, then limx c → − f(x) = (A) inf{f(x)| x < c} (B) sup{f(x)| x > c} (C) sup{f(x)| x < c} (D) inf{f(x)| x > c} In which of the following alternatives a subset T of the set : S = {(2, 0, 0), (2, 2, 2), (2, 2, 0), (0, 2, 0)} is not a basis of R3 (R) ? (A) T = {(2, 0, 0), (2, 2, 0),(2, 2, 2)} (B) T = {(2, 0, 0), (2, 2, 2),(0, 2, 0)} (C) T = {(2, 0, 0), (2, 2, 0),(0, 2, 0)} (D) T = {(2, 2, 0), (2, 2, 2),(0, 2, 0)} A monotone function : (A) has discontinuities everywhere (B) is continuous everywhere (C) has countably many discontinuities (D) has countably many points of Continuity To obtain a critical (region|value (or cut-off point) in testing a statistical hypothesis, we need the distribution of a test statistic : (A) without any assumption (B) under H1 (C) under H0 (D) all of the above For complete paper download the given below PDF file Mathematics Sciences Question papers of SET exam Yes sure, here I am uploading a pdf file having the Question papers of Mathematics Sciences of SET exam. This is the content of attachment: Let K be an extension of the field Q of rational numbers 1 If K is a finite extension then it is an algebraic extension 2 If K is an algebraic extension then it must be a finite extension 3 If K is an algebraic extension then it must be an infinite extension 4 If K is a finite extension then it need not be an algebraic extension Then which of the following statements is correct? 1. Both the partial derivatives of f at (0, 0) exist 2. The directional derivative Du f(0, 0) of f at (0, 0) exists for every unit vector u 3. f is continuous at (0, 0) 4. f is differentiable at (0, 0). 1. Let f(z) = sin z, z _ |C. Then f(z) : (A) is bounded in the complex plane (B) assumes all complex numbers (C) assumes all complex numbers except i (D) assumes all complex numbers except i and –i 2. The radius of convergence of the series ! n n n z n _ is : (A) 1 (B) _ (C) 1/4 (D) e 3. Let the sequence {an} be given by 1, 2, 3, 1 + 1 2 , 2 + 1 2 , 3 + 1 2 , 1 + 1 3 , 2 + 1 3 , 3 + 1 3 , ....... . Then lim sup n n a _ _ is : (A) 3 (B) _ (C) 1 (D) –1 4. If _ _ E _ F _ [R , then : (A) inf E _ inf F (B) inf E > inf F (C) inf E inf F (D) inf E < inf F 5. If a and b are real numbers, then inf {a, b} = (A) 2 a b a b _ _ (B) 2 a b a b _ (C) 2 a b a b _ (D) 2 a b a b _ _ _ 6. The dimension of the space of n × n matrices all of whose components are 0 expect possibly the diagonal components is : (A) n2 (B) n – 1 (C) n2 – 1 (D) n 7. The matrix R(_) associated with the rotation by _ = /4 is : (A) 2 2 2 2 2 2 2 2 _ _ _ _ _ _ _ _ _ _ (B) 0 1 1 0 _ _ _ _ _ _ _ _ _ (C) 1 0 0 1 _ _ _ _ _ _ _ _ _ _ (D) 2 2 2 2 2 2 2 2 _ _ _ _ _ _ _ _ _ 8. Let W be a subspace of a vector space V and let T : W _ V_ be a linear map, then : (A) T can be extended to a linear transformation from V to V_ (B) T is necessarily linear map from V to V_ (C) Ker T is not a subspace of V (D) Im T is a subspace of 9. Let S, T _ L(V1, V2), V1, V2 are finite dimensional vector spaces. Then : (A) rank S + rank T _ rank (S + T) (B) Im (S + T) = Im S + Im T (C) Im (S + T) _ Im S + Im T (D) min{rank S, rank T} _ rank ST, where V1 = V2 10. Let A be a matrix similar to a square matrix B. Then which one of the following is false ? (A) If A is self-adjoint then so is B (B) If A is non-singular then so is B (C) Determinant of A is the same as the determinant of B (D) Trace of A is the same as the trace of B 11. A sample space consists of five simple events E1, E2, E3, E4 and E5. If P(E1) = P(E2) = 0.1, P(E3) = 0.4 and P(E4) = 3P(E5). Then P(E4) and P(E5) : (A) are 0.06 and 0.02, respectively (B) cannot be determined from the given information (C) are 0.6 and 0.2, respectively (D) are 0.3 and 0.1, respectively 12. If independent binomial experiments are conducted with n = 10 trials. If the probability of success in each trial is P = 0.6, then the average number of successes per experiment is : (A) 4 (B) 6 (C) 8 (D) 10 Remaining questions are in the attachment, please click on it…….. Last edited by Aakashd; December 22nd, 2019 at 06:38 PM. |