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1

GATE BT 2022 | Question: 1
What is the order of the differential equation given below? $\dfrac{d^{2}y}{dx^{2}} – 6x = 3x^{4} – 2x^{3} + 2$ $1$ $2$ $3$ $4$

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2

GATE BT 2022 | Question: 2
If the eigenvalues of a $2 \times 2$ matrix $P$ are $4$ and $2,$ then the eigenvalues of the matrix $P^{-1}$ are $0, 0$ $0.0625, 0.25$ $0.25, 0.5$ $2, 4$

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3

GATE BT 2022 | Question: 3
For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are $100$ and $200 \; \text{W m}^{-2} \text{K}^{-1},$ respectively. The thickness and thermal conductivity of the thin-walled inner pipe are $1 \; \text{cm}$ ... overall heat transfer coefficient is __________ $\text{W m}^{-2} \text{K}^{-1}.$ $0.016$ $42.5$ $62.5$ $310$

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4

GATE BT 2022 | Question: 4
Match the media component (Column I) with its role (Column II). ... $\text{P-3, Q-2, R-4, S-1}$ $\text{P-3, Q-4, R-2, S-1}$

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5

GATE BT 2022 | Question: 5
The binding free energy of a ligand to its receptor protein is $-11.5 \; \text{kJ mol}^{-1}$ at $300 \; \text{K.}$ What is the value of the equilibrium binding constant? Use $\text{R = 8.314 J mol}^{-1} \text{K}^{-1}.$ $0.01$ $1.0$ $4.6$ $100.5$

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6

GATE BT 2022 | Question: 6
The overall stoichiometry for an aerobic cell growth is $3 \text{C}_{6} \text{H}_{12} \text{O}_{6} + 2.5 \text{NH}_{3} + \text{O}_{2} \rightarrow 1.5 \text{C}_{a} \text{H}_{b} \text{O}_{c} \text{N}_{d} + 3\text{CO}_{2} + 5\text{H}_{2} \text{O}$ What is the ... $\text{C}_{10} \text{H}_{22.33}\text{O}_{6}\text{N}_{1.667}$

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7

GATE BT 2022 | Question: 7
In binomial nomenclature, the name of a bacterial strain is written with the first letter of __________ word(s) being capitalized. first second neither first and second

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8

GATE BT 2022 | Question: 8
The type of nucleic acid present in $\lambda$-phage is Double stranded $\text{DNA}$ Single stranded circular $\text{DNA}$ Single stranded $\text{DNA}$ Single stranded $\text{RNA}$

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9

GATE BT 2022 | Question: 9
Which of the following statements about reversible enzyme inhibitors are $\text{CORRECT}?$ ... $\text{Q}$ and $\text{R}$ only $\text{P, Q}$ and $\text{R}$

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10

GATE BT 2022 | Question: 10
Match the component of eukaryotic cells (Column I) with its respective function (Column II). ... $\text{P-3, Q-1, R-2, S-4}$ $\text{P-4, Q-3, R-1, S-2}$

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11

GATE BT 2022 | Question: 11
In animal cells, the endogenously produced $\text{miRNAs}$ silence gene expression by base pairing with the $3’$-untranslated region of specific $\text{mRNAs}$ blocking $\text{mRNA}$ synthesis binding to the operator site base pairing with the $3’$ region of specific $\text{rRNAs}$

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12

GATE BT 2022 | Question: 12
Terpenoids are made of _________ units. amino acid carbohydrate isoprene triacylglycerol

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13

GATE BT 2022 | Question: 13
Match the microbial product (Column I) with its respective application (Column II). ... $\text{P-2, Q-1, R-3}$ $\text{P-3, Q-2, R-1}$ $\text{P-3, Q-1, R-2}$

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14

GATE BT 2022 | Question: 14
Which of the following is $\text{NOT}$ used for generating an optimal alignment of two nucleotide sequences? Gap penalties Match scores Mismatch scores Nucleotide composition

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15

GATE BT 2022 | Question: 15
The recognition sequences of four Type-II restriction enzymes $\text{(RE)}$ are given below. The symbol $(\downarrow)$ indicates the cleavage site. Identify the $\text{RE}$ that generates sticky ends. $\text{RE1} - 5' \text{G}^{\downarrow} \text{GATCC} \; 3'$ ... $\text{RE4} - 5' \text{AG}^{\downarrow} \text{CT} \; 3'$

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16

GATE BT 2022 | Question: 16
Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific restriction enzymes. Which of the following ... dependent fragment insertion Real-time polymerase chain reaction Restriction fragment length polymorphism Reverse transcriptase polymerase chain reaction

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17

GATE BT 2022 | Question: 17
Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of $12$ is __________.

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18

GATE BT 2022 | Question: 18
A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is $0.5 \frac{\text{g biomass}}{\text{g substrate}}.$ ... that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is _________ $ \text{g L}^{-1}.$

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19

GATE BT 2022 | Question: 19
The degree of reduction of lactic acid $(\text{C}_{3} \text{H}_{6} \text{O}_{3})$ is __________.

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20

GATE BT 2022 | Question: 20
Consider a nonlinear algebraic equation, $x\ln x + x – 1 = 0.$ Using the Newton-Raphson method, with the initial guess of $x_{0} = 3,$ the value of $x$ after one iteration (rounded off to one decimal place) is ___________.

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21

GATE BT 2022 | Question: 21
The probability density function of a random variable $X$ is $p(x) = 2e^{-2x}.$ The probability $P(1 \leq X \leq 2)$ (rounded off to two decimal places) is _________.

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22

GATE BT 2022 | Question: 22
The maximum value of the function $f(x) = 3x^{2} – 2x^{3}$ for $x>0$ is ________.

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23

GATE BT 2022 | Question: 23
The specific growth rate of a yeast having a doubling time of $0.693 \; \text{h}$ (rounded off to nearest integer) is ________ $\text{h}^{-1}.$

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24

GATE BT 2022 | Question: 24
A fermentation broth of density $1000 \; \text{kg m}^{-3}$ and viscosity $10^{-3} \; \text{kg m}^{-1} \text{s}^{-1}$ is mixed in a $100\;\text{L}$ fermenter using a $0.1 \; \text{m}$ diameter impeller, rotating at a speed of $2 \; \text{s}^{-1}.$ The impeller Reynolds number is _________.

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25

GATE BT 2022 | Question: 25
For a pure species, the slope of the melting line $\frac{dP}{dT} \; \text{at} \; -2 \; ^{\circ} \textrm{C} \; \text{is} -5.0665 \times 10^{6} \text{Pa K}^{-1}.$ ... $\text{J} \; \text{mol}^{-1}.$

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26

GATE BT 2022 | Question: 26
Which of the following conditions will contribute to the stability of a gene pool in a natural population? Large population No net mutation Non-random mating No selection $\text{P}$ Only $\text{P}$ and $\text{Q}$ Only $\text{P}$ and $\text{R}$ Only $\text{P},$ $\text{Q}$ and $\text{S}$ Only

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27

GATE BT 2022 | Question: 27
Match the media component used in mammalian cell culture (Column I) with its respective role (Column II). ... $\text{P-4, Q-3, R-1, S-2}$ $\text{P-4, Q-3, R-2, S-1}$

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28

GATE BT 2022 | Question: 28
Match the cell type (Column I) with its function (Column II). ... $\text{P-4, Q-3, R-1, S-2}$ $\text{P-4, Q-3, R-2, S-1}$

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29

GATE BT 2022 | Question: 29
A $2\times 2$ matrix $\textbf{P}$ has an eigen value $\lambda_{1}=2$ with eigenvector $x_{1}=\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ and another eigenvalue $\lambda_{2}=5,$ with eigenvector $x_{2}=\begin{pmatrix} 1 \\ 1 \end{pmatrix}.$ The matrix $\textbf{P}$ ... $\begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix}$ $\begin{pmatrix} 1 & 1 \\ 1 & 0 \end{pmatrix}$

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30

GATE BT 2022 | Question: 30
Match the stationary phase (Column I) with its corresponding chromatography technique (Column II). ... $\text{P-3, Q-4, R-2, S-1}$ $\text{P-4, Q-1, R-3, S-2}$

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31

GATE BT 2022 | Question: 31
Which of the following statements are $\text{CORRECT}$ for a controller? In a proportional controller, a control action is proportional to the error In an integral controller, a control action is proportional to the derivative of the error There is no offset in the response of the ... and $\text{R}$ Only $\text{P}$ and $\text{S}$ Only $\text{Q}$ and $\text{S}$ Only

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32

GATE BT 2022 | Question: 32
Which of the following are CORRECT about protein structure? Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atoms Tertiary structure is the three-dimensional arrangement of the polypeptide backbone atoms only Quaternary structure refers to an assembly ... Only $\text{Q}$ and $\text{R}$ Only $\text{P, Q}$ and $\text{R}$

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33

GATE BT 2022 | Question: 33
The enzymes involved in ubiquitinylation of cell-cycle proteins are $\text{E}_{1}$ and $\text{E}_{2}$ Only $\text{E}_{1}$ and $\text{E}_{3}$ Only $\text{E}_{1}$ and $\text{E}_{4}$ Only $\text{E}_{1}$, $\text{E}_{2}$ and $\text{E}_{3}$

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34

GATE BT 2022 | Question: 34
The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is $\text{CORRECT}?$ It predicts the tree that minimizes the steps required to ... observed variations It predicts the tree with the least number of branch points It employs probability calculations to identify the tree

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35

GATE BT 2022 | Question: 35
Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food? Infrared Circular dichroism Nuclear magnetic resonance UV-Visible $\text{P}$ only $\text{P}$ and $\text{R}$ only $\text{P, Q}$ and $\text{R}$ only $\text{P, Q, R}$ and $\text{S}$

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36

GATE BT 2022 | Question: 36
Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a $\text{DNA}$ base pair mismatch. The $\text{CORRECT}$ combination of enzymes that are involved in repairing this damage is Nuclease, $\text{DNA}$ ... $\text{DNA}$ polymerase, $\text{DNA}$ ligase Primase, helicase, $\text{DNA}$ polymerase

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37

GATE BT 2022 | Question: 37
Consider the ordinary differential equation $\dfrac{dy}{dx} = f(x,y) = 2x^{2} – y^{2}.$ If $y(1)=1,$ the value(s) of $y(1.5),$ using the Euler’s implicit method $\left[y_{n+1}=y_{n}+hf(x_{n+1},y_{n+1}) \right]$ with a step size of $h=0.5,$ is (are) $-1-5 \sqrt{0.3}$ $-1+5 \sqrt{0.3}$ $1+5 \sqrt{0.3}$ $1-5 \sqrt{0.3}$

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38

GATE BT 2022 | Question: 38
Which of the following statements are $\text{CORRECT}$ for an enzyme entrapped in a spherical particle? Effectiveness factor is ratio of the reaction rate with diffusion-limitation to the reaction rate without diffusion-limitation Internal ... increases with decrease in Thiele modulus Internal diffusion-limitation can be reduced by decreasing the size of the particle

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39

GATE BT 2022 | Question: 39
Which of the following is(are) $\text{COMMON}$ feature(s) for both aerobic and anaerobic bacterial cultures? Glycolysis $\text{NAD}^{+}$ is the oxidising agent Oxidative phosphorylation Two net $\text{ATP}$ molecules formed per glucose molecule

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40

GATE BT 2022 | Question: 40
Which of the following plot(s) is(are) $\text{CORRECT}$ for an enzyme that obeys Michaelis-Menten kinetics, assuming $[S] \ll K_{m}$? $[S]$ is the concentration of the substrate, $K_{m}$ is the Michaelis constant, and $\text{v}_{o}$ is the initial reaction velocity.

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