GATE DA format:mcq PYQs & Answers — Page 3

Questions 21–30 of 105. Imported answers require independent review unless marked reviewed.

Let

be a

matrix, where

, and

. Which of the following options is equal to

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a set

. Let

be another set which is a subspace of

with dimension two. Which of the following gives the area of

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let four points in three-dimensional space be: P1: [2, 3, −1], P2: [3, 1, 1], P3: [5, −2, 3] and P4: [3, 3, 3]. Hierarchical Agglomerative Clustering is used to cluster the above points. If Manhattan Distance is used as the distance metric during clustering, which of the following options indicates the two points that will be merged first?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Which of the following statements is true for Ridge Regression?

Your answerChoose one option.

The regularizer in the objective function of Ridge Regression is used to guard against scenarios where the model works well for the test data, but poorly for the training data.

The regularizer of Ridge Regression uses

norm.

Ridge Regression aims to reduce the number of parameters that have negative values.

The regularizer of Ridge Regression may increase the bias of the model, but it helps in reducing the variance in predictions.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Assume that a Creative (

) person will Succeed (

) if the person is also Disciplined (

), but will not succeed otherwise. Now, consider the following statements:

(i)

(ii)

(iii)

Which of the following options is correct?

Your answerChoose one option.

Both (i) and (ii) are TRUE

Only (ii) is TRUE

Both (ii) and (iii) are TRUE

Only (iii) is TRUE

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A recursive function in Python is given.

def mystery(n):

if n <= 0:

return 1

else:

return mystery(n-1) + mystery(n-2)

Now, consider the following function call:

mystery(4)

Assume that a typical runtime stack is used to manage function calls. Each function call is pushed onto the stack and removed only after it finishes execution.

Which of the following options denotes the total number of function calls (i.e., the total number of stack activations), including the initial call, to compute mystery(4)?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a directed graph

, where

is the finite set of vertices and

is the set of directed edges between the vertices.

may contain cycles but there is no self-loop. Further,

may not be strongly connected.

Let

be the graph obtained by reversing the directions of all the edges in

without changing the set of vertices.

Assume that Breadth First Search (BFS) or Depth First Search (DFS) from any given vertex

of a graph visits only the reachable vertices from

in that graph.

Which of the following statements must always be true, regardless of the structure of

Your answerChoose one option.

is a reachable vertex in the BFS of

from

, then

is also a reachable vertex in the DFS of

from

, the BFS traversal from

will visit exactly the same set of vertices as the DFS from

The order of vertices visited in the BFS of

from

is the reverse of the order of vertices visited in the DFS of

from

is a reachable vertex in the DFS of

from

, then

is also a reachable vertex in the BFS of

from

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a B+ Tree where the maximum number of key values in each leaf node is 2 and the maximum number of pointers in each non-leaf node is 3. Let the content of the B+ Tree be as shown in the figure.

Which of the following options denotes the key value(s) stored in the root node after inserting a key value 3 in the given B+ Tree?

Diagram for Data Science and Artificial Intelligence question 41

Your answerChoose one option.

3 and 5

3, 5 and 8

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the given relations

and

. The relation

has three columns

and

. The relation

has three columns

and

. The relation

has two columns

and

Relation


P1	Q1	R1
P2	Q2	R2
P3	Q3	R2

Relation


P1	Q1	2
P1	Q2	5
P2	Q1	6
P3	Q3	1

Relation


P1	T1
P3	T2
P4	T3
P4	NULL

Consider the relational algebra expression

where

denotes natural join operation.

Which of the following options is the correct output for the given expression?

Your answerChoose one option.

Two rows (P1, R1, 2) and (P1, R1, 5)

Three rows (P1, R1, 2), (P1, R1, 5) and (P2, R2, 6)

One row (P1, R1, 2)

Zero rows

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the concept hierarchies as shown in the figure.

Which of the following options denotes the total number of possible data cubes from these concept hierarchies?

Diagram for Data Science and Artificial Intelligence question 43

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE DA format:mcq PYQs

Question 21

Question 22

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43