 2020-2021 StudyChaCha

#1
 Super Moderator Join Date: Nov 2011 Question papers of Mathematics Sciences of SET exam

Will you please provide me the 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

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…….. Question papers of Mathematics Sciences of SET exam-1.pdf (292.3 KB, 73 views) Question papers of Mathematics Sciences of SET exam-2.pdf (398.8 KB, 124 views) Mathematics Sciences Question papers of SET exam .pdf (164.6 KB, 122 views)

Last edited by Aakashd; December 22nd, 2019 at 06:38 PM. Reply to this Question / Ask Another Question