AI - Soft Computing, ML, DL - Previous Year's UGC-NET Questions

UGC-NET-JUNE-2026

1.    Let    R = {(1, 2), (3, 4), (2, 2)} and  S = {(4, 2), (2, 5), (3, 1), (1, 3)} be two relations. The composite relation  R o S  of  R  and  S  is : 

        1.    {(4, 2), (3, 2), (2, 5)}

        2.    {(1, 5), (3, 2), (2, 5)}

        3.    {(1, 3), (3, 1), (2, 5)}

        4.    {(2, 5), (3, 1), (2, 3), (3, 3)}

UGC-NET-JUNE-2024 (Cancel)

1.    For the fuzzy sets A = {(x₁, 0.3), (x₂, 0.7), (x₃, 0.4)} and B = {(x₁, 0.5), (x₂, 0.2), (x₃, 0.5)}, the A∩B would be :

        1.    {(x₁, 0.3), (x₂, 0.7), (x₃, 0.4)}

        2.    {(x₁, 0.5), (x₂, 0.2), (x₃, 0.5)}

        3.    {(x₁, 0.5), (x₂, 0.7), (x₃, 0.5)}

        4.    {(x₁, 0.3), (x₂, 0.2), (x₃, 0.4)}

UGC-NET-JUNE-2024 (Cancel)

2.    For the fuzzy sets A = {(x₁, 0.3), (x₂, 0.7), (x₃, 0.4)} and B = {(x₁, 0.5), (x₂, 0.2), (x₃, 0.5)}, the A∪B would be :

        1.    {(x₁, 0.3), (x₂, 0.7), (x₃, 0.4)}

        2.    {(x₁, 0.5), (x₂, 0.2), (x₃, 0.5)}

        3.    {(x₁, 0.5), (x₂, 0.7), (x₃, 0.5)}

        4.    {(x₁, 0.3), (x₂, 0.2), (x₃, 0.4)}

UGC-NET-JUNE-2024 (Cancel)

3.    For the fuzzy sets A = {(x₁, 0.3), (x₂, 0.7), (x₃, 0.4)}, the complement of A would be represented as:

        1.    {(x₁, 0.4), (x₂, 0.3), (x₃, 0.1)}

        2.    {(x₁, 0.3), (x₂, 0.7), (x₃, 0.4)}

        3.    {(x₁, 0.7), (x₂, 0.3), (x₃, 0.6)}

        4.    {(x₁, 0.21), (x₂, 0.28), (x₃, 0.12)}

UGC-NET-JUNE-2024 (Cancel)

4.    Arrange the following sets in increasing order, on the basis of their cardinality :

    A.    A₁  = {{1,2}, {3}}        

    

    B.    A₂ = {{1}, {2}, {3}, {4}} 

    C.    A₃ = {{1, 2, 3, 4, 5, 6}}        

    D.    A₄ = {{1, 2}, {2, 3, 4}, {5}}

    E.    A₅ = {{1}, {2}, {3}, {4}, {5}}

Choose the correct answer from the options given below:

        1.    A, B, D, E, C

        2.    A, B, E, D, C

        3.    A, C, D, B, E

        4.    C, A, D, B, E

UGC-NET-JUNE-2024 (Cancel)

5.    The Cardinality of a fuzzy set is :

        1.    0                 2.    finite        

        3.    infinite        4.    not known

UGC-NET-JUNE-2024 (Cancel)

6.    The parameter Actual count is used in Genetic Algorithm (GA) for :

        1.    Crossover        

        2.    Mutation        

        3.    Selecting population        

        4.    Encoding the Genetic Algorithm

UGC-NET-JUNE-2024 (Cancel)

7.   For the following Parents in figure (1) and (2) :

Parent1	10110	010
Parent2	10101	111

Figure (1)           ↗

                   Cross over points

                               ↘

Parent1	10110	111
Parent2	10101	010

figure (2)

Which is correct ?

1.    figure (2) is the two point crossover of figure (1)

2.    figure (2) is one point crossover of figure (1)

3.    figure (2) is N point crossover of figure (1)

4.    figure (2) is uniform crossover of figure (1)

UGC-NET-JUNE-2024 (Cancel)

8.  What is a perception in ANN ?

    1.    A double layer auto-associative neural network.

    2.    A neural network that contains feedback.

    3.    An auto-associative neural network.

    4.    A single layer feed-forward neural network with pre-processing