Data Science and Artificial Intelligence
GATE DA format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 105. Imported answers require independent review unless marked reviewed.
Question 8
Open questionGAMCQ2 marksNeeds review
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.
The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
Note: The figure shown is representative.
Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
If a real variable
satisfies
, then the value of
is:Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
The number of patients per shift (
) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns per shift in the past 100 shifts is ₹ 100
, what is the average amount (in ₹) she has earned per shift in the past 100 shifts?Note: The figure shown is representative.
Your answerChoose one option.
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Open questiondaMCQ1 markNeeds review
Suppose
and
are random variables. The conditional expectation of
given
is denoted by
. Then
equalsYour answerChoose one option.
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The number of additions and multiplications involved in performing Gaussian elimination on any
upper triangular matrix is of the orderYour answerChoose one option.
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The sum of the elements in each row of
is 1. If
, which one of the following statements is correct (for
)?Your answerChoose one option.
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Open questiondaMCQ1 markNeeds review
Let
,
. Let
denote the
th derivative of
evaluated at
. What is the value of
? (Note:
denotes factorial)Your answerChoose one option.
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Open questiondaMCQ1 markNeeds review
Let
and
be any two propositions. Consider the following propositional statements.
where
denotes conjunction (AND operation),
denotes disjunction (OR operation), and
denotes negation (NOT operation). Which one of the following options is correct?(Note:
denotes logical equivalence)Your answerChoose one option.
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Open questiondaMCQ1 markNeeds review
If a relational decomposition is not dependency-preserving, which one of the following relational operators will be executed more frequently in order to maintain the dependencies?
Your answerChoose one option.
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Open questiondaMCQ1 markNeeds review
Consider the following three relations:
Car (model, year, serial, color)
Make (maker, model)
Own (owner, serial)
A tuple in Car represents a specific car of a given model, made in a given year, with a serial number and a color. A tuple in Make specifies that a maker company makes cars of a certain model. A tuple in Own specifies that an owner owns the car with a given serial number. Keys are underlined; (owner, serial) together form key for Own. (
denotes natural join)
Which one of the following options describes what the above expression computes?
Your answerChoose one option.
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