GATE DA topic:data-science PYQs & Answers — Page 19

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Questions 181–190 of 195. Imported answers require independent review unless marked reviewed.

Topic practice 195 questionsPage 19 of 20

Consider the directed acyclic graph (DAG) below:

Diagram for Data Science and Artificial Intelligence question 51

Which of the following are valid vertex orderings that can be obtained from a topological sort of the DAG?

Your answerSelect all correct options. You can choose more than one.

P Q R S T U V

P R Q V S U T

P Q R S V U T

P R Q S V T U

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Let

, and

represent height, number of internal nodes, number of leaf nodes, and the total number of nodes respectively in a rooted binary tree. Which of the following statements is/are always TRUE?

Your answerSelect all correct options. You can choose more than one.

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Consider the following figures representing datasets consisting of two-dimensional features with two classes denoted by circles and squares.

Diagram for Data Science and Artificial Intelligence question 53

Which of the following is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

(i) is linearly separable.

(ii) is linearly separable.

(iii) is linearly separable.

(iv) is linearly separable.

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Let

be true if the ball is used in rugby and false otherwise.

Let

be true if the ball is round and false otherwise.

Consider the following logical sentences:

s1:

s2:

s3:

s4:

Which of the following choices is/are logical representations of the assertion, “All balls are round except balls used in rugby”?

Your answerSelect all correct options. You can choose more than one.

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An OTT company is maintaining a large disk-based relational database of different movies with the following schema:

Movie(

)

Genre(

)

Movie_Genre(

)

Consider the following SQL query on the relational database above:

SELECT *

FROM Movie, Genre, Movie_Genre

WHERE

Movie.CustomerRating > 3.4 AND

Genre.Name = “Comedy” AND

Movie_Genre.MovieID = Movie.ID AND

Movie_Genre.GenreId = Genre.ID;

This SQL query can be sped up using which of the following indexing options?

Your answerSelect all correct options. You can choose more than one.

B+ tree on all the attributes.

Hash index on

and B+ tree on the remaining attributes.

Hash index on

and B+ tree on the remaining attributes.

Hash index on all the attributes.

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Let

be a random variable uniformly distributed in the interval

and

be a random variable uniformly distributed in the interval

. If

and

are independent of each other, the probability

is _____ (rounded off to three decimal places).

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Let

be a random variable exponentially distributed with parameter

. The probability density function of

is given by:

, where

and

indicate the expectation and variance of

, respectively, the value of

is _____ (rounded off to one decimal place).

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Consider two events T and S. Let

denote the complement of the event T. The probability associated with different events are given as follows:

Then,

is _____ (rounded off to two decimal places).

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Consider a joint probability density function of two random variables X and Y

Then,

is _____.

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Evaluate the following limit:

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GATE DA topic:data-science PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60