motherteresawomenuniv.ac.in TNSET Mathematical Sciences Question Paper : Mother Teresa Women’s University
University : Mother Teresa Women’s University
Exam : TNSET – Tamil Nadu State Eligibility Test 2017
Document Type : Sample Question Paper
Year : 2017
Subject : Mathematical Sciences
Website : http://www.motherteresawomenuniv.ac.in/
Set E : https://www.pdfquestion.in/uploads/11726-MATHEMATICALE.pdf
Set F : https://www.pdfquestion.in/uploads/11726-MATHEMATICALF.pdf
Set G : https://www.pdfquestion.in/uploads/11726-MATHEMATICALG.pdf
Set H : https://www.pdfquestion.in/uploads/11726-MATHEMATICALH.pdf
TNSET Mathematical Sciences Question Paper :
Note :
a. Attempt all the questions.
b. Each question carries two (2) marks.
Related : Mother Teresa Women’s University TNSET Management Studies Question Paper 2017 : www.pdfquestion.in/11723.html
1. Subset of R which is a neighborhood of 3 is
1) [3, 6]
2) [3, 6)
3) (2, 4)
4) (3, 6)
2. The series r
1) Oscillates finitely
2) Divergent
3) Convergent
4) Oscillates infinitely
3. The sequence
1) convergent to 0
2) divergent
3) convergent to 1
4) convergent to 2
4. Composite number n is ———————.
1) a prime number and n > 1
2) non-prime number and n < 1
3) non-prime number and n > 1
4) a prime number and n < 1
5. A function f (x) has no jump discontinuity at x = a if ———————.
1) f (a+) = f (a-) = f (a)
2) f (a+) = f (a-)
3) f (a+) = f (a)
4) f (a+) = f (a-) = f (a)
6. A subset S of a vector space V satisfying V = L(S) is a basis if ———————.
1) S is linearly dependent
2) S is linearly independent
3) V is a field
4) S is a field
7. If dimW = m, dimV = n and W ? V then dim(V /W) is ———————.
1) m + n
2) n – m
3) m – n
4) mn
8. The product of two orthogonal matrices is orthogonal and that the inverse of an orthogonal matrix is
1) Symmetric
2) Orthogonal
3) Skew-symmetric
4) Hermitian
9. Let V be an n-dimensional vector space and let T :V ->V be a linear map such that null(T) ? range(T ) . Then
1) n is odd
2) n is even
3) n is neither odd or even
4) n is not defined
10. Every square matrix satisfies its own characteristic equation. This is
1) Cauchy’s theorem
2) Cayley-Hamilton theorem
3) Eigen value theorem
4) Sylow’s theorem
11. A function f (z) = Re(z) is
1) analytic
2) nowhere differentiable
3) continuous
4) discontinuous
12. The fixed points of the bilinear transformation z /w – z are
1) 0, 0
2) 0, 1
3) 0, 1/2
4) 1, 1/2
13. The primitive roots modulo 19 is ———————.
1) 18
2) 6
3) 5
4) 12
14. In the ring of even integers 2Z , the ideal I ? ? 4 ? is
1) Integral domain
2) Principal ideal
3) Maximal but not prime
4) Maximal and prime
15. If D is an integral domain and D[x] is a principal ideal domain, then D becomes a
1) Ring
2) Field
3) Integral domain
4) Ideal
16. The fixed points of the bilinear transformation w=z/2-z are
1) 0, 0
2) 0, 1
3) 0, 1/2
4) 1, 1/2
17. The primitive roots modulo 19 is ———————.
1) 18
2) 6
3) 5
4) 12
18. In the ring of even integers 2Z , the ideal I ? ? 4 ? is
1) Integral domain
2) Principal ideal
3) Maximal but not prime
4) Maximal and prime
19. If D is an integral domain and D[x] is a principal ideal domain, then D becomes a
1) Ring
2) Field
3) Integral domain
4) Ideal
20. If (N) denotes the number of prime numbers less than or equal to N then (6) ?
1) 2
2) 5
3) 1
4) 4
21. Which of the following statement is wrong?
1) Every subspace of discrete space is also discrete
2) Every subspace of an indiscrete space is indiscrete
3) Every non-empty open subset of an indiscrete space X is dense in X
4) Every non-empty open subset of an indiscrete space X is not dense in X
22. Let X – N be equipped with the topology generated by the basis consisting of sets An {n, n -1, n 2} , n} N then X is
1) Compact and connected
2) Hausdorff and compact
3) Hausdorff and connected
4) Neither compact nor connected
23. Every convergent sequence in a Hausdorff space has
1) exactly two different limit points
2) no limit point
3) a unique limit point
4) more than one limit point
24. Let X be a topological space with finitely many connected components: Then each connected components is
1) closed in X
2) open in X
3) neither open nor closed in X
4) both open and closed in X
25. Any infinite subset A of a discrete topological space X is
1) compact
2) locally compact
3) not compact
4) sequentially compact
26. Which of the following is elliptic?
1) Laplace equation
2) Wave equation
3) Heat equation
4) uxx + 2uxy – 4uxy = 0
27. In Newton-Cotes formula, if f (x) is interpolated at equally spaced nodes by a polynomial of degree one, then it represents ———————.
1) Trapezoidal rule
2) Simpson rule
3) Three-eight rule
4) Booles rule
28. The integral I has strong minimum if
1) The arc AB of the arc of the integration Te , contains no point conjugate to either A or B
2) The arc AB of the arc of integration Te , contains point conjugate to either A or B
3) The arc AB of the arc of integration Te , contains point conjugate to both A or B
4) The arc AB of the arc of the integration Te , contains no point conjugate to neither A nor B
29. Degree of freedom is defined as
1) The minimum number of independent coordinates required to specify the system
2) The maximum number of independent coordinates required to specify the system
3) The minimum number of dependent coordinates required to specify the system
4) The maximum number of dependent coordinates required to specify the system
30. Non-holonomic constraints are
1) The constraints that can be expressed as equation form
2) The constraints that cannot be expressed as equation form
3) Equation of constraints that contain time as explicit variable
4) Equation of constraints that does not contain time as explicit variable