GATE DA topic:computing PYQs & Answers — Page 8

Questions 71–80 of 195. Imported answers require independent review unless marked reviewed.

Column-I has statements made by Shantha; and Column-II has responses given by Kanishk.

Column-I	Column-II
P. This house is in a mess.	1. Alright, I won’t bring it up during our conversations.
Q. I am not happy with the marks given to me.	2. Well, you can easily look it up.
R. Politics is a subject I avoid talking about.	3. No problem, let me clear it up for you.
S. I don’t know what this word means.	4. Don’t worry, I will take it up with your teacher.

Identify the option that has the correct match between Column-I and Column-II.

Your answerChoose one option.

P – 2; Q – 3; R – 1; S – 4

P – 3; Q – 4; R – 1; S – 2

P – 4; Q – 1; R – 2; S – 3

P – 1; Q – 2; R – 4; S – 3

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Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical for two brothers, and it monotonically increases till the age of 50 years and then monotonically decreases. Let

and

(in years) denote the ages of the brothers and

Which one of the following statements is correct about their age on the day when they attain the same weight?

Your answerChoose one option.

Either

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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.

Diagram for Data Science and Artificial Intelligence question 8

Your answerChoose one option.

3; 4

4; 3

3; 3

3; 2

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If a real variable

satisfies

, then the value of

is:

Your answerChoose one option.

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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.

Diagram for Data Science and Artificial Intelligence question 10

Your answerChoose one option.

6,100

6,300

6,000

6,500

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Suppose

and

are random variables. The conditional expectation of

given

is denoted by

. Then

equals

Your 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 order

Your 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.

The equation

has no solution

The equation

has exactly two solutions

The equation

has infinitely many solutions

The equation

has a unique solution

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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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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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GATE DA topic:computing PYQs

Question 6

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Question 15