*SET Mathematical Sciences Question Answers** *for competitive exams: This mock test having mcq question each also from** Paper II, Paper III Syllabus**, with four choices. On each click on answers system will tell you where the answers is **correct or incorrect**. You can view this SET Mathematical Sciences test question details at the end of the quiz.

**SET Mathematical Sciences Question Answers**

** State Level Eligibility Test is also know as SET (State Eligibility Test) **Mathematical Sciences questions answers are applicable for any kind of Higher Mathematical Sciences especially for Lecturer and PHD examination like UGC NET And CSIR NET. . You can

**practice**as much as you can to gather knowledge of how to answers SET Mathematical Sciences critical type papers in short time and this can

**be a big factor for cracking LS/PHD level exam.**

## SET/SLET Mathematical Sciences Paper II - Mock Test

*SET/SLET Mathematical Sciences Paper II - Mock Test*.You scored %%SCORE%% out of %%TOTAL%%.Your performance has been rated as %%RATING%%

Question 1 |

Uniformly continuous on R+ | |

Uniformly continuous on R | |

Continuous on R+ | |

Not continuous on R+ |

Question 2 |

^{3}→R

^{2}is a linear transformation defined by T (x, y, z) = (x + 2y — z, y + z, x + y — 2z), then the rank of T is equal to

0 | |

1 | |

2 | |

3 |

Question 3 |

^{3}→R be a linear transformation defined by T (1, 1, 1) = 3, T (0, 1, — 2) = 1 and T (0, 0, 1) = -2 Then T (x, y, z) =

8x+3y-2z | |

3x-8y-2z | |

8x-3y-2z | |

2x-3y+8z |

Question 4 |

4+3i | |

4-3i | |

2+3i | |

2-3i |

Question 5 |

normal subgroups | |

abelian subgroups | |

sylow subgroups | |

cyclic subgroups |

Question 6 |

a quotient ring | |

a field | |

a division ring | |

an ideal |

Question 7 |

1 | |

2 | |

3 | |

4 |

Question 8 |

3 | |

2 | |

1.67 | |

1.4 |

Question 9 |

x = 1.094, y = - 1.908, z = 2.946 | |

x = 1.082, y = -1.914, z = 2.965 | |

x=1.108, y=-1.932, z=2.981 | |

x=1.013, y=-1.996, z=3.001 |

Question 10 |

S.D ≥ M.D from mean | |

S.D=M.D | |

S.D < M.D from mean | |

No relation between S.D and M.D |

Question 11 |

25: π | |

5:2 | |

1:2 | |

10: π |

Question 12 |

1200 | |

800 | |

any number | |

95 |

Question 13 |

regularity | |

homogeneity | |

independent increments | |

all the above three (A), (B) and (C) |

Question 14 |

X = n/2 if n is even | |

x=1/2(n-1) and x=1/2(n+1) if n is odd | |

x=n | |

both A) and B) are correct |

Question 15 |

**ᶿ**in a Cauchy population with parameter

**ᶿ**is

sample mean | |

sample median | |

reciprocal of sample median | |

does not exist |

Question 16 |

2/e | |

e/2 | |

e | |

1 |

Question 17 |

An unbiased test | |

a most powerful test | |

an admissible test | |

sufficient test |

Question 18 |

double sampling | |

two stage sampling | |

cluster sampling | |

quota sampling |

Question 19 |

0.25 | |

0.75 | |

0.3 | |

0.5 |

Question 20 |

half plane | |

convex polyhedran | |

hull | |

envelop |

Question 21 |

f(x)/F(x) | |

f(x)/(1-F(x)) | |

F(x)/f(x) | |

log f(x)/(1-F(x)) |

List |

## SET/SLET Mathematical Sciences Paper III - Mock Test

*SET/SLET Mathematical Sciences Paper III - Mock Test*.You scored %%SCORE%% out of %%TOTAL%%.Your performance has been rated as %%RATING%%

Question 1 |

convex | |

open | |

closed | |

connected |

Question 2 |

The characteristic roots of a non-singular matrix are distinct | |

The characteristic equation of a matrix admits a non-zero solution | |

Every matrix satisfies its own characteristic equation | |

The eigen values of any matrix are linearly independent |

Question 3 |

linearly dependent | |

orthogonal | |

orthonormal | |

linearly independent |

Question 4 |

**w is a subspace of V**

_{4}(R) generated by the vectors (1,-2, 5, -3), (2, 3, 1, -4), (3, 8, -3, -5), then dim (w) =

1 | |

2 | |

3 | |

4 |

Question 5 |

^{2}+ ky

^{2}is to be harmonic function, then k should be equal to

0 | |

1 | |

2 | |

3 |

Question 6 |

On real axis | |

on negative real axis | |

at z=0 only | |

for complex z |

Question 7 |

O (HK) = O (KH) | |

HK=KH | |

O (H)=O (K) | |

either O(H) or O(K) is a prime number |

Question 8 |

^{-1}=H} then N(H) is

a normal subgroup of G | |

a subgroup of G | |

an abelian group | |

a cyclic group |

Question 9 |

**is a group. Then which one of the following statements is NOT true?**

If q | p — 1, then there exists a non-abelian group of order pq | |

If q | p — 1, then G is cyclic | |

G has a subgroup of order p and a subgroup of order q | |

Any two non-abelian groups of order Pq are isomorphic |

Question 10 |

^{2}.13

^{2}. Then the number of 13 — Sylow subgroups in G are

1 | |

2 | |

3 | |

4 |

Question 11 |

^{p}— 1 is of degree

2p+1 | |

P+1 | |

p -1 | |

2p-1 |

Question 12 |

^{2}-2yp + 4x =0 is

x | |

2x | |

3x | |

4x |

Question 13 |

**= 0, y(-π) = y(π), y’(-π) = y’(π) then to each eigen value λ there corresponds**

a unique eigen function | |

two eigen functions | |

two linearly independent eigen functions | |

two mutually dependent eigen functions |

Question 14 |

_{10}x = 1.2 correct to 3 decimal places obtained by Newton’s iteration method, is

2.740 | |

2.752 | |

2.758 | |

2.762 |

Question 15 |

^{2}y, y(0) =2, then the value of y (0.2) obtained by modified Eulers method with h = 0.1 is

1.912 | |

1.918 | |

1.923 | |

1.932 |

Question 16 |

**=**x+y, y(0) =1 with h= 0.2 using the fourth order Runge-Kutta method, is

1.216 | |

1.232 | |

1.243 | |

1.263 |

Question 17 |

cycloid | |

geodesic | |

catenary | |

helix |

Question 18 |

an isosceles triangle | |

an equilateral triangle | |

a right angled triangle | |

a scalene triangle |

Question 19 |

4 | |

2 | |

1 | |

6 |

Question 20 |

mean | |

median | |

mode | |

standard deviation |

Question 21 |

mean=median= mode | |

mean | |

median< mean | |

mode< mean< median |

Question 22 |

**(U — 0.2)) is**

Normal | |

Laplace | |

Cauchy | |

Exponential |

Question 23 |

the sample space | |

the interval [0, 1] | |

the sigma field of subsets of the sample space | |

the real line |

Question 24 |

Yule process | |

renewal process | |

Wiener process | |

Branching process |

Question 25 |

7.5 | |

5.5 | |

3.5 | |

1.5 |

Question 26 |

*i.i.d*standard normal variates then E(X/Y) =

1 | |

0 | |

does not exist | |

1/2 |

Question 27 |

Normal | |

Cauchy | |

exponential | |

Gamma |

Question 28 |

ɑ<1-ß | |

ß<1-ɑ | |

1-ß<ɑ | |

ɑ<ß |

Question 29 |

Kruskal Wallis | |

Median test | |

Run test | |

Rank test |

Question 30 |

reducing the block size | |

increasing the block size | |

reducing the number of factors | |

reducing the number of blocks |

Question 31 |

Optimum solution is unique | |

optimum solution exists but not unique | |

optimum solution is unbounded | |

optimum solution does not exist |

Question 32 |

Weibull distribution | |

exponential distribution | |

two component mixture of Weibull distributions | |

Pareto distribution |

Question 33 |

i) is correct | |

i) is not correct but ii) and iii) are correct | |

ii) is correct | |

i), ii) and iii) are correct |

List |

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