GATE DA 2025 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

Consider a two-class problem in

with class labels

and

. Let

and

be the means of the two classes. Given test sample

, a classifier calculates the squared Euclidean distance (denoted by

) between

and the means of the two classes and assigns the class label that the sample

is closest to. That is, the classifier computes

and assigns the label

, and

otherwise. Which of the following statements is/are correct?

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

The sample

is assigned the label

is a linear function of

, where

and

are functions of

and

is a quadratic polynomial in

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Consider the following two relations, named Customer and Person, in a database:

Person ( aadhaar CHAR(12) PRIMARY KEY, name VARCHAR(32));

Customer ( name VARCHAR(32), email VARCHAR(32) PRIMARY KEY, phone CHAR(10), aadhaar CHAR(12), FOREIGN KEY (aadhaar) REFERENCES Person(aadhaar));

Which of the following statements is/are correct?

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

aadhaar is a candidate key in the Customer relation

phone can be NULL in the Customer relation

aadhaar is a candidate key in the Person relation

aadhaar can be NULL in the Person relation

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Consider a database relation R with attributes ABCDEFG, and having the following functional dependencies:

A → BCE E → DG BC → A

Which of the following statements is/are correct?

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

A is the only candidate key of R

A, BC are the candidate keys of R

A, BC, E are the candidate keys of R

Relation R is not in Boyce-Codd Normal Form (BCNF)

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2025 · Paper 1