GATE AE format:mcq PYQs & Answers — Page 4

Questions 31–40 of 326. Imported answers require independent review unless marked reviewed.

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.

have been playing

had been playing

would have been playing

could be playing

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digital image has pixel intensities (

) as shown in the figure. The number of pixels with

is:

Diagram for Aerospace Engineering question 3

Your answerChoose one option.

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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?

Diagram for Aerospace Engineering question 4

Your answerChoose one option.

P = 6; Q = 5; R = 3

P = 5; Q = 6; R = 3

P = 3; Q = 6; R = 6

P = 5; Q = 3; R = 6

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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.

Perimeter increases by 10%.

Length of the diagonals increases by 10%.

Area increases by 10%.

The rectangle becomes a square.

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Column-I has statements made by Shantha; 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 Aerospace 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. Ita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(

), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?

Note: The figure shown is representative.

Diagram for Aerospace Engineering question 10

Your answerChoose one option.

6,100

6,300

6,000

6,500

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For any real symmetric matrix

, the transpose of

is ____ .

Your answerChoose one option.

inverse of

null matrix

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GATE AE format:mcq PYQs

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Question 11