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General Aptitude(11)Engineering Mathematics(8)Process Calculations(3)Thermodynamics(4)Fluid Mechanics and Mechanical Operations(6)Heat Transfer(6)Mass Transfer(8)Chemical Reaction Engineering(4)Instrumentation and Process Control(7)Plant Design and Economics(3)Chemical Technology(5)

General Aptitude

11 Questions

GATE→2023→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

"You are delaying the completion of the task. Send [blank] contributions at the earliest." Select the most appropriate option to fill the blank.

(A)

you are

(B)

your

(C)

you're

(D)

yore

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q2

MCQ[1 Mark]

Implement : Guidelines :: [blank] : References (By word meaning)

(A)

Sight

(B)

Site

(C)

Cite

(D)

Plagiarise

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

In the given figure, PQRS is a parallelogram with $PS = 7$ cm, $PT = 4$ cm and $PV = 5$ cm. What is the length of RS in cm?

(A)

$\frac{20}{7}$

(B)

$\frac{28}{5}$

(C)

$\frac{9}{2}$

(D)

$\frac{35}{4}$

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

Based only on the provided information regarding June Huh, which one of the following statements can be logically inferred with certainty?

(A)

Every Fields medalist has won a medal in an International Mathematics Olympiad.

(B)

Everyone who has dropped out of college has won the Fields medal.

(C)

All Fields medalists are part-time poets.

(D)

Some Fields medalists have dropped out of college.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

In the given figure with 16 unit squares, what is the minimum number of squares that must be coloured black, such that both PQ and MN form lines of symmetry?

(A)

3

(B)

4

(C)

5

(D)

6

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

If the statement "Some human beings are not cruel creatures" is FALSE in the given imagined world, which set of statement(s) can be logically inferred with certainty?

(A)

only (i)

(B)

only (iii) and (iv)

(C)

only (i) and (ii)

(D)

(i), (ii) and (iii)

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and cement are in the ratio 1:2. Total cost is 1000 rupees. What is the cost (in rupees) of cement used?

(A)

400

(B)

600

(C)

800

(D)

200

Explanation

GATE→2023→General Aptitude→Verbal Ability

Q8

MCQ[2 Marks]

Based only on the World Bank passage regarding Sri Lanka's economic crisis, which statement can be inferred with certainty?

(A)

According to the World Bank, the root cause of Sri Lanka's economic crisis is that it does not have enough foreign exchange.

(B)

The World Bank has stated that it will advise the Sri Lankan government about how to tackle the root causes of its economic crisis.

(C)

According to the World Bank, Sri Lanka does not yet have an adequate macroeconomic policy framework.

(D)

The World Bank has stated that it will provide Sri Lanka with additional funds for essentials such as food, fuel, and medicines.

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q9

MCQ[2 Marks]

The coefficient of $x^4$ in the polynomial $(x-1)^3(x-2)^3$ is equal to

(A)

33

(B)

-3

(C)

30

(D)

21

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Which one of the following shapes can be used to tile a flat plane without leaving any empty spaces?

(A)

circle

(B)

regular octagon

(C)

regular pentagon

(D)

rhombus

Explanation

GATE→2023→General Aptitude→Quantitative Aptitude

Q11

MCQ[2 Marks]

Exhibition visitor arrival times uniform between 3 PM and 4 PM with specific exit rules. Probability that their visits overlapped is

(A)

5/9

(B)

4/9

(C)

2/9

(D)

7/9

Explanation

Engineering Mathematics

8 Questions

GATE→2023→Engineering Mathematics→Calculus

Q12

MCQ[1 Mark]

Which one of the following is the CORRECT value of $y$, as defined by $y = \lim_{x\to 0} \frac{2x}{e^x - 1}$?

(A)

1

(B)

2

(C)

0

(D)

\infty

Explanation

GATE→2023→Engineering Mathematics→Calculus

Q13

MCQ[1 Mark]

The vector $\vec{v}$ is defined as $\vec{v} = zx\hat{i} + 2xy\hat{j} + 3yz\hat{k}$. Value of divergence of $\vec{v}$ evaluated at $(3,2,1)$ is

(A)

0

(B)

3

(C)

14

(D)

13

Explanation

GATE→2023→Engineering Mathematics→Complex Variables

Q14

MCQ[1 Mark]

Given $F = \frac{|z_1 + z_2|}{|z_1| + |z_2|}$ where $z_1 = 2+3i$ and $z_2 = -2+3i$, which option is correct?

(A)

F < 0

(B)

F < 1

(C)

F > 1

(D)

F = 1

Explanation

GATE→2023→Engineering Mathematics→Calculus

Q15

MCQ[1 Mark]

For a two-dimensional plane, polar and cartesian unit vectors are related. Which option is the CORRECT value of $\frac{\partial(\hat{e}_r + \hat{e}_\theta)}{\partial \theta}$?

(A)

1

(B)

\hat{e}_\theta

(C)

\hat{e}_r + \hat{e}_\theta

(D)

-\hat{e}_r + \hat{e}_\theta

Explanation

GATE→2023→Engineering Mathematics→Differential Equations

Q16

NAT[1 Mark]

Particle position $x(t)$ governed by $\frac{d^2x}{dt^2} = -\omega^2 x$ with $x(0)=1, x'(0)=0$. Position at $t = 3\pi/\omega$ is.

Explanation

GATE→2023→Engineering Mathematics→Numerical Methods

Q17

MCQ[2 Marks]

Simpson's one-third rule estimate for $\int_{-1}^{1} \sqrt{1-x^2} dx$ with interval length $0.5$ is

(A)

1/3 - 1/\sqrt{3}

(B)

1/3 + 2/\sqrt{3}

(C)

1/3 + 1/\sqrt{3}

(D)

1/3 - 2/\sqrt{3}

Explanation

GATE→2023→Engineering Mathematics→Linear Algebra

Q18

NAT[2 Marks]

Matrix $M = \begin{bmatrix} 10 & 6 \\ 6 & 10 \end{bmatrix}$. Sum of all eigenvalues of $M^3$ is.

Explanation

GATE→2023→Engineering Mathematics→Calculus

Q19

NAT[2 Marks]

First derivative of $U(r) = 4\left(\frac{1}{r^{12}} - \frac{1}{r^6}\right)$ evaluated at $r=1$ is.

Explanation

Process Calculations

3 Questions

GATE→2023→Process Calculations→Process Calculations

Q20

NAT[1 Mark]

Methane fed at $100$ mol hr$^{-1}$ with $50\%$ conversion. Theoretical oxygen requirement is mol hr$^{-1}$.

Explanation

GATE→2023→Process Calculations→Process Calculations

Q21

NAT[2 Marks]

Wet air with $10\%$ water vapor passed through CaCl2 pellets removing $50\%$ of water. Mole percent of water in product stream is.

Explanation

GATE→2023→Process Calculations→Process Calculations

Q22

NAT[2 Marks]

Orsat dry-basis stack gas composition given. Wet-basis mole fraction of $N_2$ is.

Explanation

Thermodynamics

4 Questions

GATE→2023→Thermodynamics→Thermodynamics

Q23

MCQ[1 Mark]

For a reversible endothermic chemical reaction, which figure shows the CORRECT dependence of equilibrium constant $K$ on temperature $T$?

(A)

ln(K) vs 1/T

(B)

ln(K) vs T

(C)

ln(K) vs 1/T

(D)

ln(K) vs 1/T

Explanation

GATE→2023→Thermodynamics→Thermodynamics

Q24

MCQ[1 Mark]

John performed experiment under reversible conditions (Delta S_rev), Jane under irreversible conditions (Delta S_irr). Which relationship is CORRECT?

(A)

\Delta S_{rev} = \Delta S_{irr}

(B)

\Delta S_{rev} > \Delta S_{irr}

(C)

\Delta S_{rev} < \Delta S_{irr}

(D)

\Delta S_{rev} = 2 \Delta S_{irr}

Explanation

GATE→2023→Thermodynamics→Thermodynamics

Q25

MSQ[1 Mark]

Consider a system where a Carnot engine is operating between a source and a sink. Which statements are NOT correct?

(A)

This engine is reversible.

(B)

Efficiency is independent of source and sink temperatures.

(C)

Highest efficiency among engines.

(D)

Total entropy of system increases at each cycle completion.

Explanation

GATE→2023→Thermodynamics→Thermodynamics

Q26

MCQ[2 Marks]

Enthalpy $H$ of binary liquid system given. Partial molar enthalpy of species 1 at infinite dilution $\overline{H}_1^\infty$ (in J mol$^{-1}$) is

(A)

100

(B)

42

(C)

64

(D)

40

Explanation

Fluid Mechanics and Mechanical Operations

6 Questions

GATE→2023→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q27

MCQ[1 Mark]

For packed-bed with Kozeny-Carman equation ($Re_p < 1$), minimum fluidization velocity is proportional to $D_p^n$. What is exponent $n$?

(A)

2

(B)

-1

(C)

-2

(D)

1

Explanation

GATE→2023→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q28

MSQ[1 Mark]

For fully developed turbulent pipe flow, which statements are CORRECT?

(A)

Reynolds stress zero everywhere

(B)

Reynolds stress at pipe wall is zero

(C)

Average velocity is half center-line velocity

(D)

Average pressure gradient in flow direction is constant

Explanation

GATE→2023→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q29

NAT[1 Mark]

Capillary tube viscometer parameters given. Viscosity $k \times 10^{-3} \text{ Pa s}$, value of $k$ is.

Explanation

GATE→2023→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q30

NAT[2 Marks]

Pump operating between suction and discharge conditions at $80\%$ efficiency. Power required (in kW) is.

Explanation

GATE→2023→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q31

NAT[2 Marks]

Cylindrical tank draining through nozzle. Absolute value of $\frac{dh}{dt}$ when $h=51$ cm is mm s$^{-1}$.

Explanation

GATE→2023→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q32

NAT[2 Marks]

Solid spherical particle ($100$ um diameter) rising/settling in water column under Stokes law. Absolute value of $v_t$ (in mm s$^{-1}$) is.

Explanation

Heat Transfer

6 Questions

GATE→2023→Heat Transfer→Heat Transfer

Q33

MCQ[1 Mark]

Match quantities in Group 1 with units in Group 2

(A)

P-II, Q-I, R-IV, S-III

(B)

P-I, Q-II, R-III, S-IV

(C)

P-III, Q-IV, R-II, S-I

(D)

P-IV, Q-I, R-III, S-II

Explanation

GATE→2023→Heat Transfer→Heat Transfer

Q34

MCQ[1 Mark]

Slab of thickness $L$, area $A$, conductivity $k$. Thermal resistance for steady 1D heat conduction is

(A)

L / (kA)

(B)

k / (LA)

(C)

kA(T1 - T2) / L

(D)

A / (Lk)

Explanation

GATE→2023→Heat Transfer→Heat Transfer

Q35

MSQ[1 Mark]

Given total hemispherical emissive power $E$, which statements are CORRECT?

(A)

E does not depend on direction

(B)

E depends on viewfactor

(C)

E depends on wavelength

(D)

E does not depend on frequency

Explanation

GATE→2023→Heat Transfer→Heat Transfer

Q36

MSQ[2 Marks]

Which of the following dimensionless numbers include specified terms?

(A)

Bond number includes surface tension.

(B)

Jakob number includes latent heat.

(C)

Prandtl number includes density difference.

(D)

Biot number includes gravity.

Explanation

GATE→2023→Heat Transfer→Heat Transfer

Q37

NAT[2 Marks]

Laminar flow over rectangular plate. Value of ratio of average heat transfer coefficients $\overline{h}_w$ to $\overline{h}_l$ is.

Explanation

GATE→2023→Heat Transfer→Heat Transfer

Q38

NAT[2 Marks]

Concentric tube countercurrent heat exchanger cooling oil with water. Number of transfer units (NTU) is.

Explanation

Mass Transfer

8 Questions

GATE→2023→Mass Transfer→Mass Transfer

Q39

MCQ[1 Mark]

Which one of the following is NOT an advantage of a typical spray dryer?

(A)

Has short drying time

(B)

Produces hollow spherical particles

(C)

Has high heat efficiency

(D)

Is suitable for heat sensitive materials

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q40

MCQ[1 Mark]

Packed distillation column design specifications given. Column diameter (in m) is

(A)

5 / \sqrt{\pi}

(B)

5 \sqrt{\pi}

(C)

4 / \sqrt{\pi}

(D)

10 / \sqrt{\pi}

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q41

NAT[1 Mark]

Stripping column operating with $V = 2L$ and equilibrium $y_e = x_e$. Minimum number of ideal stages required is.

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q42

NAT[1 Mark]

Ratio of molar flux for stagnant diffusion to equimolar counter diffusion under specified mole fractions is.

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q43

MCQ[2 Marks]

Water at 290 K exposed to air with 3% CO2 at 100 kPa. Henry's constant 12 MPa. Mole fraction of CO2 dissolved in water is

(A)

2.9 x 10^-4

(B)

0.9 x 10^-4

(C)

2.5 x 10^-4

(D)

0.5 x 10^-4

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q44

MCQ[2 Marks]

Which one of the following represents the CORRECT effects of concentration polarization in a reverse osmosis process?

(A)

Reduced water flux and reduced solute rejection

(B)

Increased water flux and increased solute rejection

(C)

Reduced water flux and increased solute rejection

(D)

Increased water flux and reduced solute rejection

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q45

NAT[2 Marks]

Partially saturated air in adiabatic saturator. Entering absolute humidity $H \times 10^{-3}$, value of $H$ is.

Explanation

GATE→2023→Mass Transfer→Mass Transfer

Q46

NAT[2 Marks]

Batch still distillation with relative volatility $4.5$. Mole fraction of B remaining in vessel is.

Explanation

Chemical Reaction Engineering

4 Questions

GATE→2023→Chemical Reaction Engineering→Chemical Reaction Engineering

Q47

MCQ[2 Marks]

CO undergoes molecular adsorption and H2 undergoes dissociative adsorption on catalyst sites. Ratio of catalyst sites occupied by CO to hydrogen atoms is

(A)

$\frac{K_{CO}p_{CO}}{\sqrt{K_{H_{2}}p_{H_{2}}}}$

(B)

$\frac{K_{CO}}{\sqrt{K_{H_{2}}}}$

(C)

$\frac{p_{CO}}{\sqrt{p_{H_{2}}}}$

(D)

$\frac{K_{CO}p_{CO}}{K_{H_{2}}p_{H_{2}}}$

Explanation

GATE→2023→Chemical Reaction Engineering→Chemical Reaction Engineering

Q48

NAT[2 Marks]

Catalytic reaction with activity correlation $-r_A'(t) = -0.5t + 10$. Activity of catalyst at $t = 10$ hr is.

Explanation

GATE→2023→Chemical Reaction Engineering→Chemical Reaction Engineering

Q49

NAT[2 Marks]

Liquid-phase reaction data given. Space time (in s) of CSTR for conversion of $0.8$ with feed concentration $1 \text{ mol m}^{-3}$ is.

Explanation

GATE→2023→Chemical Reaction Engineering→Chemical Reaction Engineering

Q50

NAT[2 Marks]

Second-order reaction with $k = 0.2 \text{ L mol}^{-1}\text{min}^{-1}$ in non-ideal reactor using segregated model with RTD curve. Percentage conversion of A is.

Explanation

Instrumentation and Process Control

7 Questions

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q51

MCQ[1 Mark]

Which one of the following quantities of a flowing fluid is measured using a rotameter?

(A)

Static pressure

(B)

Dynamic pressure

(C)

Volumetric flow rate

(D)

Viscosity

Explanation

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q52

MCQ[1 Mark]

Liquid surge tank parameters given. Time constant (in seconds) is

(A)

20

(B)

32

(C)

64

(D)

128

Explanation

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q53

MCQ[1 Mark]

An isothermal jacketed CSTR shown in figure... Which statement is the CORRECT action to increase $T$?

(A)

Increase area HX1 and duty HX2

(B)

Decrease area HX1 and duty HX2

(C)

Increase area HX1 and decrease duty HX2

(D)

Decrease area HX1 and increase duty HX2

Explanation

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q54

MCQ[2 Marks]

For the cascade control strategy shown, the transfer function $G_{d2}(s) = \frac{y(s)}{d_2(s)}$ is

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q55

MCQ[2 Marks]

Level control transfer function given. Correct controller gain for decaying oscillations under servo mode is

(A)

0.25

(B)

2

(C)

4

(D)

6

Explanation

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q56

NAT[2 Marks]

PFR dynamics transfer function given with $V=1$, $F=0.1$, $k=0.5$. Ultimate gain for proportional controller is.

Explanation

GATE→2023→Instrumentation and Process Control→Instrumentation and Process Control

Q57

NAT[2 Marks]

Measuring instrument transfer function given. Time taken to show an increase of 1 unit in output for +1 step change is.

Explanation

Plant Design and Economics

3 Questions

GATE→2023→Plant Design and Economics→Plant Design and Economics

Q58

NAT[2 Marks]

Membrane module options M1 and M2. Difference in Net Present Value (NPV) over 7 years at $8\%$ interest is lakhs of rupees.

Explanation

GATE→2023→Plant Design and Economics→Plant Design and Economics

Q59

NAT[2 Marks]

Distillation column purchase cost 10 lakhs, installation factor 5.8. Annual cost of installed capital over 6 years at $5\%$ interest is lakhs of rupees.

Explanation

GATE→2023→Plant Design and Economics→Plant Design and Economics

Q60

NAT[2 Marks]

Pumps A and B economic details given. For equal capitalized cost at $10\%$ interest, salvage value of pump B is Rs.

Explanation

Chemical Technology

5 Questions

GATE→2023→Chemical Technology→Chemical Technology

Q61

MCQ[1 Mark]

Which one of the following statements related to octane number is NOT correct?

(A)

Linear alkanes with higher carbon number have higher octane number.

(B)

Branching in linear alkanes increases their octane number.

(C)

Catalytic reforming of hydrocarbons increases their octane number.

(D)

Gasoline quality is measured in terms of octane number.

Explanation

GATE→2023→Chemical Technology→Chemical Technology

Q62

MCQ[1 Mark]

Which one of the following options represents the major components of oleum?

(A)

Sulfuric acid and nitric acid

(B)

Concentrated sulfuric acid and petroleum jelly

(C)

Sulfuric acid and hydrochloric acid

(D)

Sulfuric acid and sulfur trioxide

Explanation

GATE→2023→Chemical Technology→Chemical Technology

Q63

MCQ[1 Mark]

Nitrile rubber is manufactured via polymerization. Which option is the CORRECT pair of monomers?

(A)

Acrylonitrile and styrene

(B)

Acrylonitrile and butadiene

(C)

Butadiene and styrene

(D)

Butadiene and isoprene

Explanation

GATE→2023→Chemical Technology→Chemical Technology

Q64

MCQ[2 Marks]

Match products in Group 1 with manufacturing processes in Group 2: [Acetaldehyde, Sulfuric acid, Pulp, Phosphorus]

(A)

P-III, Q-IV, R-I, S-II

(B)

P-III, Q-I, R-IV, S-II

(C)

P-IV, Q-I, R-II, S-III

(D)

P-I, Q-IV, R-II, S-III

Explanation

GATE→2023→Chemical Technology→Chemical Technology

Q65

MCQ[2 Marks]

Match reactions in Group 1 with catalysts in Group 2

(A)

P-III, Q-IV, R-II, S-I

(B)

P-III, Q-IV, R-I, S-II

(C)

P-IV, Q-II, R-I, S-III

(D)

P-IV, Q-III, R-I, S-II

Explanation