GATE CH topic:chemical-engineering PYQs & Answers — Page 34

Questions 331–340 of 650. Imported answers require independent review unless marked reviewed.

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square pieces and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is ______.

Your answerChoose one option.

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Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost

The discount on item Q, as a percentage of its marked price, is ______.

Items	Cost (₹)	Profit %	Marked Price (₹)
P	5,400	---	5,860
Q	---	25	10,000

Your answerChoose one option.

12.5

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There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is ______.

Your answerChoose one option.

0.3024

0.4235

0.6976

0.8125

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Given below are two statements 1 and 2, and two conclusions I and II.

Statement 1: All bacteria are microorganisms.

Statement 2: All pathogens are microorganisms.

Conclusion I: Some pathogens are bacteria.

Conclusion II: All pathogens are not bacteria.

Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Your answerChoose one option.

Only conclusion I is correct

Only conclusion II is correct

Either conclusion I or II is correct.

Neither conclusion I nor II is correct.

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Some people suggest anti-obesity measures (AOM) such as displaying calorie information in restaurant menus. Such measures sidestep addressing the core problems that cause obesity: poverty and income inequality.

Which one of the following statements summarizes the passage?

Your answerChoose one option.

The proposed AOM addresses the core problems that cause obesity.

If obesity reduces, poverty will naturally reduce, since obesity causes poverty.

AOM are addressing the core problems and are likely to succeed.

AOM are addressing the problem superficially.

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An ordinary differential equation (ODE),

, with an initial condition

, has the analytical solution

. Using Runge-Kutta second order method, numerically integrate the ODE to calculate

using a step size of

. If the relative percentage error is defined as,

then the value of

is ________.

Your answerChoose one option.

0.06

0.8

4.0

8.0

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The function

is approximated using Taylor series around

. The values of

and

are

Your answerChoose one option.

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The heat of combustion of methane, carbon monoxide and hydrogen are

and

respectively. For the reaction below,

the heat of reaction is given by

Your answerChoose one option.

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A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type A and type B in water (density 100 kg m

) at room temperature. Type A are spherical particles of diameter 30

m and density 1100 kg m

. Type B are spherical particles of diameter 10

m and density 1900 kg m

. Assuming that Stokes’ law is valid throughout the duration of the experiment, the settled bed would

Your answerChoose one option.

consist of a homogeneous mixture of type A and type B particles

consist of type B particles only

be completely segregated with type B particles on top of type A particles

be completely segregated with type A particles on top of type B particles

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A three-dimensional velocity field is given by

, where

are the unit vectors in

directions, respectively, describing a cartesian coordinate system. The coefficient

is a constant. If

describes an incompressible fluid flow, the value of

Your answerChoose one option.

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GATE CH topic:chemical-engineering PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Question 5