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General Aptitude(10)Engineering Mathematics(9)Process Calculations(1)Thermodynamics(6)Fluid Mechanics and Mechanical Operations(6)Heat Transfer(6)Mass Transfer(6)Chemical Reaction Engineering(6)Instrumentation and Process Control(8)Plant Design and Economics(3)Chemical Technology(4)

General Aptitude

10 Questions

GATE→2022→General Aptitude→Verbal Ability

Q1

MCQ[1 Mark]

Inhaling the smoke from a burning [blank] could [blank] you quickly.

(A)

tire/tier

(B)

tire/tyre

(C)

tyre/tire

(D)

tyre/tier

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q2

MCQ[1 Mark]

A sphere of radius $r$ cm is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^3$) of the box that can enclose the sphere?

(A)

\frac{r^3}{8}

(B)

r^3

(C)

2r^3

(D)

8r^3

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q3

MCQ[1 Mark]

Pipes P and Q fill a tank in 10 and 6 minutes. Pipe R empties it at 34 L/min. Operating simultaneously, it takes 1 hour to empty a full tank. Capacity of tank is litres.

(A)

26.8

(B)

60.0

(C)

120.0

(D)

127.5

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q4

MCQ[1 Mark]

Six persons P, Q, R, S, T and U are sitting around a circular table facing center based on given positional conditions. Q is a neighbor of

(A)

U and S

(B)

R and T

(C)

R and U

(D)

P and S

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q5

MCQ[1 Mark]

Minimum number of doors to be opened to go from point P to Q in the given building layout is

(A)

4

(B)

3

(C)

2

(D)

1

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q6

MCQ[2 Marks]

Based on the passage regarding Green Super Rice (GSR) and climate change, which logical inference is CORRECT?

(A)

GSR is an alternative to regular rice, but it grows only in an extreme weather

(B)

GSR may be used in future in response to adverse effects of climate change

(C)

GSR grows in an extreme weather, but quantity of produce is lesser

(D)

Regular rice will continue to provide good yields even in extreme weather

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q7

MCQ[2 Marks]

Two independent 8-sector disks are spun. What is the probability that the sum of the numbers is equal to 8?

(A)

1/16

(B)

5/64

(C)

3/32

(D)

7/64

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q8

MCQ[2 Marks]

Consider inequalities (i) $3p-q<4$ and (ii) $3q-p<12$. Which expression satisfies both?

(A)

p + q < 8

(B)

p + q = 8

(C)

8 <= p + q < 16

(D)

p + q >= 16

Explanation

GATE→2022→General Aptitude→Verbal Ability

Q9

MCQ[2 Marks]

Given 3 statements and 4 conclusions. Which option can be logically inferred?

(A)

Only conclusion I is correct

(B)

Only conclusion II and III are correct

(C)

Only conclusion I and III are correct

(D)

Either conclusion III or IV is correct

Explanation

GATE→2022→General Aptitude→Quantitative Aptitude

Q10

MCQ[2 Marks]

Which set of pieces can be assembled to form a square with a single round hole near the center?

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

Engineering Mathematics

9 Questions

GATE→2022→Engineering Mathematics→Complex Variables

Q11

MCQ[1 Mark]

The value of $(1+i)^{12}$, where $i=\sqrt{-1}$, is

(A)

-64i

(B)

64i

(C)

64

(D)

-64

Explanation

GATE→2022→Engineering Mathematics→Linear Algebra

Q12

MCQ[1 Mark]

Given matrix $A = \begin{bmatrix} x & 1 & 3 \\ y & 2 & 6 \\ 3 & 5 & 7 \end{bmatrix}$, ordered pair $(x, y)$ for which $\det(A)=0$ is

(A)

(1,1)

(B)

(1,2)

(C)

(2,2)

(D)

(2,1)

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q13

MCQ[1 Mark]

Let $f(x) = e^{-|x|}$. The value of $\frac{df}{dx}$ at $x = -1$ is

(A)

-e

(B)

e

(C)

1/e

(D)

-1/e

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q14

MCQ[1 Mark]

The value of real variable $x \ge 0$ which maximizes $f(x) = x^e e^{-x}$ is

(A)

e

(B)

0

(C)

1/e

(D)

1

Explanation

GATE→2022→Engineering Mathematics→Numerical Methods

Q15

NAT[1 Mark]

Area of circular field is $25 \text{ m}^2$. Radius $r$ determined using Newton-Raphson method with initial guess $r = 2.500$ m. Revised estimate after one iteration is m.

Explanation

GATE→2022→Engineering Mathematics→Differential Equations

Q16

MCQ[2 Marks]

PDE heat conduction equation with given initial/boundary conditions. Value of $t$ at which $\frac{u(0.5,t)}{u(0.5,0)} = \frac{1}{e}$ is

(A)

1

(B)

e

(C)

\pi

(D)

1/e

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q17

NAT[2 Marks]

Directional derivative of $f(x,y,z) = 4x^2 + 2y^2 + z^2$ at $(1,1,1)$ along vector $\vec{v} = \hat{i} - \hat{k}$ is.

Explanation

GATE→2022→Engineering Mathematics→Calculus

Q18

NAT[2 Marks]

Surface integral $\iint_S \left(\frac{2x\hat{i} + 3y\hat{j} + 4z\hat{k}}{4\pi}\right) \cdot \hat{n} dA$ over sphere of radius $4$ is.

Explanation

GATE→2022→Engineering Mathematics→Numerical Methods

Q19

NAT[2 Marks]

ODE solved using predictor (implicit Euler) and corrector (trapezoidal rule) with step size $0.5$. Value of $y$ at $x = 0.5$ is.

Explanation

Process Calculations

1 Question

GATE→2022→Process Calculations→Process Calculations

Q20

NAT[2 Marks]

CSTR process flowsheet with recycle and purge. Inert feed rate into the process is kmol h$^{-1}$.

Explanation

Thermodynamics

6 Questions

GATE→2022→Thermodynamics→Thermodynamics

Q21

MCQ[1 Mark]

For single component system at VLE, relation that is NOT CORRECT among Helmholtz free energy $A$, volume $V$, entropy $S$, moles $N$ is

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

GATE→2022→Thermodynamics→Thermodynamics

Q22

NAT[1 Mark]

5 moles benzene, 8 moles toluene, 7 moles xylene mixed at $25^\circ\text{C}$ and 1 bar assuming ideal solution. Total entropy change is $\text{J K}^{-1}$.

Explanation

GATE→2022→Thermodynamics→Thermodynamics

Q23

MCQ[2 Marks]

N moles of ideal gas undergoing isochoric then isobaric expansion process. Heat gained by gas is

(A)

P_2(V_2 - V_1) + C_V(T_2 - T_1)

(B)

P_2(V_2 - V_1) + C_P(T_2 - T_1)

(C)

C_P(T_2 - T_1) + C_V(T_2 - T_1)

(D)

P_2 V_2 - P_1 V_1

Explanation

GATE→2022→Thermodynamics→Thermodynamics

Q24

NAT[2 Marks]

Substance at $4^circ\text{C}$ with $\beta = 0$, $\kappa_T$, and molar volume given. Quantity $[v (\partial S / \partial v)_T]$ evaluated is J mol$^{-1}$ K$^{-1}.

Explanation

GATE→2022→Thermodynamics→Thermodynamics

Q25

NAT[2 Marks]

Molar excess Gibbs free energy expression given. Value of $\int_{0}^{1} \ln(\gamma_A / \gamma_B) dx_A$ at 300 K and 1 bar is.

Explanation

GATE→2022→Thermodynamics→Thermodynamics

Q26

NAT[2 Marks]

Vapour pressure data given. Estimated latent heat of vaporization at 360 K is kJ/mol.

Explanation

Fluid Mechanics and Mechanical Operations

6 Questions

GATE→2022→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q27

MCQ[1 Mark]

Consider turbulent pipe flow. On moving away from wall towards center, rz-component of Reynolds stress

(A)

Increases and then decreases

(B)

Decreases and then increases

(C)

Remains unchanged

(D)

Only increases

Explanation

GATE→2022→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q28

MCQ[2 Marks]

Water jet of diameter $2$ cm striking vertical plate with hole diameter $1$ cm at $20 \text{ m s}^{-1}$. Horizontal force required to hold plate stationary is N.

(A)

30\pi

(B)

10\pi

(C)

20\pi

(D)

5\pi

Explanation

GATE→2022→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q29

MCQ[2 Marks]

Rod pulled coaxially inside pipe with annular Newtonian fluid. Magnitude of pulling force per unit rod length is

(A)

\pi \mu V

(B)

-\frac{2\pi \mu V}{\ln(a)}

(C)

0

(D)

-\frac{\pi \mu V}{\ln(a)}

Explanation

GATE→2022→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q30

NAT[2 Marks]

Pump transferring liquid between reservoirs through pipe with friction factor $0.01$. Required power of the pump is kW.

Explanation

GATE→2022→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q31

NAT[2 Marks]

Venturi meter with specified dimensions and pressure drop $50$ kPa. Estimated flow rate of water is $\times 10^{-3} \text{ m}^3 \text{s}^{-1}$.

Explanation

GATE→2022→Fluid Mechanics and Mechanical Operations→Fluid Mechanics and Mechanical Operations

Q32

NAT[2 Marks]

Constant-rate cake filtration with filtrate volumes and pressure drop. Pressure drop across cake at 2 min is kPa.

Explanation

Heat Transfer

6 Questions

GATE→2022→Heat Transfer→Heat Transfer

Q33

NAT[1 Mark]

Double pipe heat exchanger with steam condensing at $100^\circ\text{C}$ heating water from $75^\circ\text{C}$ to $95^\circ\text{C}$. Required cooling water flow rate is $\text{kg s}^{-1}$.

Explanation

GATE→2022→Heat Transfer→Heat Transfer

Q34

MCQ[2 Marks]

Bare wire coated with insulation. Maximum allowed thermal conductivity to reduce heat loss is W m$^{-1}$ K$^{-1}$.

(A)

0.02

(B)

0.04

(C)

0.10

(D)

0.01

Explanation

GATE→2022→Heat Transfer→Heat Transfer

Q35

MCQ[2 Marks]

Two planar walls at 1000 K and 500 K with radiation shields melting at 900 K. Maximum number of shields that can be installed is

(A)

1

(B)

0

(C)

2

(D)

3

Explanation

GATE→2022→Heat Transfer→Heat Transfer

Q36

MCQ[2 Marks]

Saturated steam condensation on vertical plate. Ratio of average heat transfer coefficient over entire plate to that at bottom is

(A)

4

(B)

4/3

(C)

3/4

(D)

3

Explanation

GATE→2022→Heat Transfer→Heat Transfer

Q37

NAT[2 Marks]

Cylindrical fin of diameter $24$ mm with fin effectiveness $10$. Its length is mm.

Explanation

GATE→2022→Heat Transfer→Heat Transfer

Q38

NAT[2 Marks]

Single-effect evaporator specifications given. Overall heat transfer coefficient is $\text{kcal h}^{-1}\text{m}^{-2}\text{K}^{-1}$.

Explanation

Mass Transfer

6 Questions

GATE→2022→Mass Transfer→Mass Transfer

Q39

MCQ[1 Mark]

Consider two stationary water droplets of diameters $d_1$ and $2d_1$. CO2 diffuses into droplets. If smaller droplet rate is $W_1$, larger droplet rate is

(A)

2W_1

(B)

4W_1

(C)

W_1

(D)

0.5W_1

Explanation

GATE→2022→Mass Transfer→Mass Transfer

Q40

NAT[1 Mark]

Binary A-B liquid diffusion with mole fractions $0.8$ and $0.1$. Quantity $\frac{(N_{A1}-N_{A2})}{N_{A2}} \times 100$ is.

Explanation

GATE→2022→Mass Transfer→Mass Transfer

Q41

NAT[1 Mark]

Interphase mass transfer between immiscible liquids A and B. Mass transfer coefficient of S in A is $\text{kmol h}^{-1}\text{m}^{-2}$.

Explanation

GATE→2022→Mass Transfer→Mass Transfer

Q42

NAT[1 Mark]

Tray dryer solid drying calculation. Percentage moisture content of the solid at end of 5 hours is % (W/W).

Explanation

GATE→2022→Mass Transfer→Mass Transfer

Q43

NAT[2 Marks]

Tray-distillation column stripping section operating line given. Reflux ratio is (rounded off to two decimal places).

Explanation

GATE→2022→Mass Transfer→Mass Transfer

Q44

NAT[2 Marks]

Psychrometric calculation for wet-bulb depression of $9^\circ\text{C}$. Value of $1000 \times Y'$ is.

Explanation

Chemical Reaction Engineering

6 Questions

GATE→2022→Chemical Reaction Engineering→Chemical Reaction Engineering

Q45

MCQ[1 Mark]

Reaction $A \to B$ with intrinsic rate $k C_A^2$ strongly pore-diffusion controlled. Observed reaction order is

(A)

1

(B)

2

(C)

3/2

(D)

\sqrt{2}

Explanation

GATE→2022→Chemical Reaction Engineering→Chemical Reaction Engineering

Q46

MCQ[1 Mark]

Enzymatic competitive inhibition reaction mechanism. Correct plot of $\frac{1}{-r_s}$ vs $\frac{1}{[S]}$ is

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

GATE→2022→Chemical Reaction Engineering→Chemical Reaction Engineering

Q47

NAT[2 Marks]

Series-parallel reactions in CSTR with recycle. Value of $q$ that minimizes sum of molar flow rates of A and S recycle streams is.

Explanation

GATE→2022→Chemical Reaction Engineering→Chemical Reaction Engineering

Q48

NAT[2 Marks]

Elementary second-order reaction $2A \to B$ in PFR with recycle. For $R \to \infty$, corresponding conversion of A is %.

Explanation

GATE→2022→Chemical Reaction Engineering→Chemical Reaction Engineering

Q49

NAT[2 Marks]

Gas-phase reaction $A \to B + C$ in PFR vs CSTR operating at different temperatures and feed conditions for $80$\% conversion. Estimated activation energy is $\text{kJ mol}^{-1}$.

Explanation

GATE→2022→Chemical Reaction Engineering→Chemical Reaction Engineering

Q50

NAT[2 Marks]

Second-order reaction $2P \to Q$ in non-ideal reactor using segregated model with RTD curve. Percentage conversion of P at exit is %.

Explanation

Instrumentation and Process Control

8 Questions

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q51

MCQ[1 Mark]

Jacketed reactor control system diagram. Select the option that correctly specifies the action (direct/reverse) of controllers PC, LC, TC.

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q52

MCQ[1 Mark]

Liquid heated in HX with bypass stream plumbing options. Most effective temperature control configuration avoiding vaporization is

(A)

option A

(B)

option B

(C)

option C

(D)

option D

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q53

MCQ[1 Mark]

Appropriate feedforward compensator $G_{ff}$ in the block diagram is

(A)

G_ff = -(2/3) (8s+1)/(5s+1)

(B)

G_ff = -(3/2) (5s+1)/(8s+1) e^-s

(C)

G_ff = (2/3) (8s+1)/(5s+1)

(D)

G_ff = (3/2) (5s+1)/(8s+1) e^-s

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q54

MCQ[1 Mark]

Choose option that correctly pairs measurement devices with quantities they measure.

(A)

I-E II-C III-D IV-B V-A

(B)

V-C I-C II-D III-A IV-B

(C)

V-D I-C II-D III-E IV-A

(D)

I-D II-C III-A IV-E V-C

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q55

NAT[1 Mark]

Process transfer function $G_p(s) = \frac{10s+1}{5s+1}$ forced by unit step input at $t=0$. Output value immediately after step input ($t=0^+$) is.

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q56

NAT[2 Marks]

Feedback control loop block diagram. Maximum value of $K$ for system stability is.

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q57

NAT[2 Marks]

Tank level control system with PI controller tuned for critical damping. Value of $\frac{K_c \tau_I}{A}$ is.

Explanation

GATE→2022→Instrumentation and Process Control→Instrumentation and Process Control

Q58

NAT[2 Marks]

SISO system transfer function given, forced by unit step input. Time at which output response reaches maximum is minutes.

Explanation

Plant Design and Economics

3 Questions

GATE→2022→Plant Design and Economics→Plant Design and Economics

Q59

MCQ[1 Mark]

Simple distillation column TAC variation with reflux ratio. Select statement that is NOT CORRECT.

(A)

TAC has a minimum with respect to RR

(B)

Sharpest rise in TAC occurs as RR approaches RR_min from above

(C)

Sharpest decrease in TAC occurs as RR approaches RR_min from above

(D)

TAC increases with RR for RR >> RR_min

Explanation

GATE→2022→Plant Design and Economics→Plant Design and Economics

Q60

NAT[1 Mark]

Compressor capital cost 10 lakhs, operating cost 0.5 lakh/yr, 10-year life, 8% interest. Amount needed to fund perpetual operation is lakhs.

Explanation

GATE→2022→Plant Design and Economics→Plant Design and Economics

Q61

NAT[2 Marks]

Project investment, revenue, manufacturing cost, 10% interest, 30% tax, double declining balance depreciation over 7 years. Discounted cash flow for fourth year is crores.

Explanation

Chemical Technology

4 Questions

GATE→2022→Chemical Technology→Chemical Technology

Q62

MCQ[1 Mark]

In soap manufacturing, triglycerides in oils and fats are hydrolyzed to mainly produce

(A)

Fatty acids and glycerol

(B)

Glycerol only

(C)

Fatty acids only

(D)

Glycerol and paraffins

Explanation

GATE→2022→Chemical Technology→Chemical Technology

Q63

MCQ[1 Mark]

The chemical formula of Glauber's salt, used in the Kraft process, is

(A)

Na2CO3 . 10H2O

(B)

NaS2O4 . 2H2O

(C)

Na2HPO4 . 2H2O

(D)

Na2SO4 . 10H2O

Explanation

GATE→2022→Chemical Technology→Chemical Technology

Q64

MCQ[1 Mark]

Undesirable reaction in catalytic reforming of naphtha is

(A)

Hydrocracking of paraffins

(B)

Dehydrogenation of naphthenes

(C)

Isomerization of naphthenes

(D)

Cyclization of paraffins

Explanation

GATE→2022→Chemical Technology→Chemical Technology

Q65

MCQ[2 Marks]

Match Group-1 products with Group-2 manufacturing processes: [Nitric acid, Phosphoric acid, Potassium chloride, Stearic acid]

(A)

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

(B)

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

(C)

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

(D)

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

Explanation