Data Science and Artificial Intelligence
GATE DA topic:data-science PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–70 of 195. Imported answers require independent review unless marked reviewed.
Question 61
Open questionDANAT2 marksNeeds review
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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Open questionDANAT2 marksNeeds review
For a given data set
, where
, it is known that
Let us denote
The value of
is ________ . (Answer in integer)Log in to check the answer
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Open questionDANAT2 marksNeeds review
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)Log in to check the answer
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Open questionDANAT2 marksNeeds review
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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Open questionDANAT2 marksNeeds review
Let
be a matrix, where
and
is the identity matrix of order
.The value of
, where
, is ________ . (Answer in integer)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionGAMCQ1 markNeeds review
Courage : Bravery :: Yearning : ________
Select the most appropriate option to complete the analogy.
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
We ________ tennis in the lawn when it suddenly started to rain.
Select the most appropriate option to complete the above sentence.
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A 4 × 4 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U ≤ 4 is:
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all values of L and W?
Your answerChoose one option.
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