GATE DA topic:computing PYQs & Answers — Page 15

Questions 141–150 of 195. Imported answers require independent review unless marked reviewed.

Consider the following statements: (i) The mean and variance of a Poisson random variable are equal. (ii) For a standard normal random variable, the mean is zero and the variance is one.

Which ONE of the following options is correct?

Your answerChoose one option.

Both (i) and (ii) are true

(i) is true and (ii) is false

(ii) is true and (i) is false

Both (i) and (ii) are false

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Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in tails.

What is the probability of the event

Your answerChoose one option.

0.5

0.25

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Consider the matrix

Which ONE of the following statements is TRUE?

Your answerChoose one option.

The eigenvalues of

are non-negative and real.

The eigenvalues of

are complex conjugate pairs.

One eigenvalue of

is positive and real, and another eigenvalue of

is zero.

One eigenvalue of

is non-negative and real, and another eigenvalue of

is negative and real.

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Consider performing depth-first search (DFS) on an undirected and unweighted graph

starting at vertex

. For any vertex

is the length of the shortest path from

. Let

be an edge in

such that

. If the edge

is explored first in the direction from

during the above DFS, then

becomes a ______ edge.

Your answerChoose one option.

tree

cross

back

gray

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For any twice differentiable function

, if at some

and

, then the function

necessarily has a _____ at

. Note:

denotes the set of real numbers.

Your answerChoose one option.

local minimum

global minimum

local maximum

global maximum

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Match the items in Column 1 with the items in Column 2 in the following table:

Column 1: (p) First In First Out; (q) Lookup Operation; (r) Last In First Out.

Column 2: (i) Stacks; (ii) Queues; (iii) Hash Tables

Your answerChoose one option.

(p) – (ii), (q) – (iii), (r) – (i)

(p) – (ii), (q) – (i), (r) – (iii)

(p) – (i), (q) – (ii), (r) – (iii)

(p) – (i), (q) – (iii), (r) – (ii)

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Consider the dataset with six datapoints:

, where

and the labels are given by

, and

. A hard margin linear support vector machine is trained on the above dataset. Which ONE of the following sets is a possible set of support vectors?

Your answerChoose one option.

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Match the items in Column 1 with the items in Column 2 in the following table:

Column 1: (p) Principal Component Analysis; (q) Naïve Bayes Classification; (r) Logistic Regression.

Column 2: (i) Discriminative Model; (ii) Dimensionality Reduction; (iii) Generative Model

Your answerChoose one option.

(p) – (iii), (q) – (i), (r) – (ii)

(p) – (ii), (q) – (i), (r) – (iii)

(p) – (ii), (q) – (iii), (r) – (i)

(p) – (iii), (q) – (ii), (r) – (i)

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Euclidean distance based

-means clustering algorithm was run on a dataset of 100 points with

. If the points

and

are both part of cluster 3, then which ONE of the following points is necessarily also part of cluster 3?

Your answerChoose one option.

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Given a dataset with

binary-valued attributes (where

) for a two-class classification task, the number of parameters to be estimated for learning a naïve Bayes classifier is

Your answerChoose one option.

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GATE DA topic:computing PYQs

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