GATE DA year:2026 PYQs & Answers — Page 7

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year:2026

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Consider an ER model with the entities E1 (A₁₁, A₁₂, A₁₃) and E2 (A₂₁, A₂₂, A₂₃), where, A₁₁, A₁₂, A₁₃ are the attributes of E1, and A₂₁, A₂₂, A₂₃ are the attributes of E2. Let A₂₂ be a multi-valued attribute. A₁₁ and A₂₁ are the primary keys of E1 and E2, respectively.

Let R12 be a many-to-many relationship between E1 and E2. Participation of both E1 and E2 in R12 is total.

The minimum number of relations required to convert the ER model into relational model (assuming there is no other functional dependency) where each relation is in third normal form (3NF) is ________ . (Answer in integer)

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For a given data set

, where

, it is known that

Let us denote

The value of

is ________ . (Answer in integer)

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Let

be a random variable that follows

distribution. The conditional distribution of the random variable

given

is the

distribution.

The value of

is ________ . (Answer in integer)

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Let

be a matrix such that each of its elements follows

distribution independently.

The probability that the row-sum of the second row and the column-sum of the third column are both equal to 3 is ________ . (Rounded off to two decimal places)

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Let

be a matrix, where

and

is the identity matrix of order

The value of

, where

, is ________ . (Answer in integer)

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GATE DA year:2026 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65