GATE CY format:mcq PYQs & Answers — Page 4

Questions 31–40 of 394. Imported answers require independent review unless marked reviewed.

For a reaction between neutral molecules X and Y in a solution at temperature T, the measured rate of reaction is equal to the rate of diffusion. Assume X is stationary and Y is moving. If the diameter of the molecule X is five times that of Y, then the rate constant for the reaction is

(

is viscosity of the solvent;

is Boltzmann constant)

Your answerChoose one option.

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For the following electrochemical cells, liquid junction potentials affect the cell potential (

I. Electrode-1 | 0.1 M KCl || 0.1 M NaCl | Electrode-2

II. Electrode-1 | 0.1 M HCl || 0.01 M HCl | Electrode-2

III. Electrode-1 | 0.01 M KCl || 0.01 M HCl | Electrode-2

The correct order of their

at 25 °C is

Your answerChoose one option.

I > II > III

II > I > III

III = I > II

II > I = III

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Courage : Bravery :: Yearning : __________

Select the most appropriate option to complete the analogy.

Your answerChoose one option.

Long

Yelling

Yawning

Glaring

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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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A 4 × 4 digital image has pixel intensities (

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

is:

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?

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.

Your answerChoose one option.

3; 4

4; 3

3; 3

3; 2

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GATE CY format:mcq PYQs

Question 46

Question 47

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