GATE PI kind:question PYQs & Answers — Page 8

Questions 71–80 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 8 of 65

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

Column-I: P. This house is in a mess. Q. I am not happy with the marks given to me. R. Politics is a subject I avoid talking about. S. I don’t know what this word means.

Column-II:

Alright, I won’t bring it up during our conversations.

Well, you can easily look it up.

No problem, let me clear it up for you.

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 it 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 Production and Industrial Engineering 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 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 Production and Industrial Engineering question 10

Your answerChoose one option.

6,100

6,300

6,000

6,500

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The eigenvalues of the matrix

are

Your answerChoose one option.

and

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and

are the orthogonal unit vectors in Cartesian x-y-z coordinate system, the curl of the vector

Your answerChoose one option.

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denotes the Laplace transform of some function

, then the Laplace transform of

, where

is a real constant, is

Your answerChoose one option.

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Which one of the following equations is a linear differential equation?

Your answerChoose one option.

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A bag contains 5 red, 7 green and 3 blue balls. Two balls are drawn at random from the bag one-by-one. The probability of the second drawn ball being red is

Your answerChoose one option.

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GATE PI kind:question PYQs

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