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1
GATE BT 2024 | Question: 20
The solution of the differential equation $\frac{d y}{d x}=y+e^{-x}$ that satisfies $y(0)=-\frac{1}{2}$ is $\_\_\_\_\_\_\_$. $-\frac{1}{2} e^{-\frac{x}{2}}$ $-\frac{1}{2} e^{x}$ $-\frac{1}{2} e^{-x}$ $-\frac{1}{2} e^{\frac{x}{2}}$
The solution of the differential equation $\frac{d y}{d x}=y+e^{-x}$ that satisfies $y(0)=-\frac{1}{2}$ is $\_\_\_\_\_\_\_$.$-\frac{1}{2} e^{-\frac{x}{2}}$$-\frac{1}{2} e...
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GATE BT 2024 | Question: 9
During normal embryonic development of the mice paw, elimination of cells from the inter-digital space is due to $\_\_\_\_\_\_\_$. apoptosis meiosis mutagenesis necrosis
During normal embryonic development of the mice paw, elimination of cells from the inter-digital space is due to $\_\_\_\_\_\_\_$.apoptosismeiosismutagenesisnecrosis
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GATE BT 2024 | Question: 10
A cultured skin fibroblast cell of a goat ' $\mathrm{P}$ ' was fused with an enucleated ovum of a goat ' $\mathrm{Q}$ '. The resultant activated early embryo was then transplanted into a pseudopregnant (surrogate) female goat ' $\mathrm{R}$ ' of ... $\mathrm{P}$ Only $\mathrm{Q}$ Only $\mathrm{R}$ Both $\mathrm{P}$ and $\mathrm{R}$
A cultured skin fibroblast cell of a goat ' $\mathrm{P}$ ' was fused with an enucleated ovum of a goat ' $\mathrm{Q}$ '. The resultant activated early embryo was then tra...
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GATE BT 2024 | Question: 16
If a denatured protein of human origin is injected into a rabbit, antibodies generated will recognize the $\_\_\_\_\_\_$ structure of the protein. primary secondary tertiary quaternary
If a denatured protein of human origin is injected into a rabbit, antibodies generated will recognize the $\_\_\_\_\_\_$ structure of the protein.primarysecondarytertiary...
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GATE BT 2024 | Question: 1
In adsorption chromatography, the adsorption of uncharged solute molecules onto a silica-based stationary phase is by $\_\_\_\_\_\_\_$. covalent bonds electrostatic interactions ionic bonds van der Waals forces
In adsorption chromatography, the adsorption of uncharged solute molecules onto a silica-based stationary phase is by $\_\_\_\_\_\_\_$.covalent bondselectrostatic interac...
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GATE BT 2024 | Question: 18
A value of $k$ for which the linear equations $(k-1) x+3 y=0$ and $2 x+k y=0$ have a non-zero solution is $\_\_\_\_\_\_\_$. $1$ $2$ $3$ $4$
A value of $k$ for which the linear equations $(k-1) x+3 y=0$ and $2 x+k y=0$ have a non-zero solution is $\_\_\_\_\_\_\_$.$1$$2$$3$$4$
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GATE BT 2024 | Question: 13
Which one of the following is the basic principle of Sanger's DNA sequencing method? Chain termination by incorporation of dideoxynucleotides Chain elongation by incorporation of dideoxynucleotides Release of inorganic pyrophosphate Chain cleavage by modification of dideoxynucleotides
Which one of the following is the basic principle of Sanger's DNA sequencing method?Chain termination by incorporation of dideoxynucleotidesChain elongation by incorporat...
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GATE BT 2024 | Question: 21
The six faces of a cube (die) are numbered as $1,2,3,4,5$ and $6$, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting an odd number as an outcome is twice that of an even number, then the probability of getting a number less than $3$ is $\frac{1}{9}$ $\frac{2}{9}$ $\frac{1}{3}$ $\frac{4}{9}$
The six faces of a cube (die) are numbered as $1,2,3,4,5$ and $6$, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting...
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GATE BT 2024 | Question: 25
The decimal reduction time of a microbe during sterilization at $120{ }^{\circ} \mathrm{C}$ with a first order thermal death rate constant of $1 \mathrm{~min}^{-1}$ will be $\_\_\_\_\_\_\_$ min (rounded off to $1$ decimal place).
The decimal reduction time of a microbe during sterilization at $120{ }^{\circ} \mathrm{C}$ with a first order thermal death rate constant of $1 \mathrm{~min}^{-1}$ will ...
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GATE BT 2024 | GA Question: 4
The number of coins of ₹ $1$, ₹ $5$, and ₹ $10$ denominations that a person has are in the ratio $5: 3: 13$. Of the total amount, the percentage of money in ₹ $5$ coins is $21 \%$ $14 \frac{2}{7} \%$ $10 \%$ $30 \%$
The number of coins of ₹ $1$, ₹ $5$, and ₹ $10$ denominations that a person has are in the ratio $5: 3: 13$. Of the total amount, the percentage of money in ₹ $5$...
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GATE BT 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words $[$ dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\rightarrow$ fast $\rightarrow \_\_\_\_\_\_$ ]. Which one of the given options is appropriate to fill the blank? starve reject feast deny
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words $[$ dry $\rightarrow$ arid $\rightarrow$ parched] is analogous to [diet $\righta...
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GATE BT 2024 | Question: 3
Which one of the following statements is correct in the context of thermodynamics? In a closed system, neither mass nor energy is transferred across the system boundary In a closed system, both mass and energy can be transferred across the ... of kinetic and potential energies In a closed system, only energy can be transferred across the system boundary and not mass
Which one of the following statements is correct in the context of thermodynamics?In a closed system, neither mass nor energy is transferred across the system boundaryIn ...
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GATE BT 2024 | Question: 22
Let $\overrightarrow{O R}$ be the vector that is perpendicular to the vectors $\overrightarrow{O P}=2 \hat{\imath}-3 \hat{\jmath}+\hat{k}$ and $\overrightarrow{O Q}=-2 \hat{\imath}+\hat{\jmath}+\hat{k}$. If the length of the vector $\overrightarrow{O R}$ is $\alpha \sqrt{3}$, then $\alpha$ is $\_\_\_\_\_\_\_$. $3$ $4$ $5$ $6$
Let $\overrightarrow{O R}$ be the vector that is perpendicular to the vectors $\overrightarrow{O P}=2 \hat{\imath}-3 \hat{\jmath}+\hat{k}$ and $\overrightarrow{O Q}=-2 \h...
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GATE BT 2024 | Question: 24
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
If the rate at which E. coli divides is $0.5 \mathrm{~h}^{-1}$, then its doubling time is $\_\_\_\_\_\_\_$ $\text{h}$.
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GATE BT 2024 | Question: 5
The relationship that involves the exchange of nutrients between two different species for their mutual growth is called $\_\_\_\_\_\_\_\_$ antagonism commensalism parasitism syntrophism
The relationship that involves the exchange of nutrients between two different species for their mutual growth is called $\_\_\_\_\_\_\_\_$antagonismcommensalismparasitis...
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GATE BT 2024 | Question: 14
An element that is present in a nucleotide but not in a nucleoside is $\_\_\_\_\_\_\_$ carbon nitrogen oxygen phosphorous
An element that is present in a nucleotide but not in a nucleoside is $\_\_\_\_\_\_\_$carbonnitrogenoxygenphosphorous
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GATE BT 2024 | GA Question: 2
If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$ depends on $x y$ depends only on $x$ and not on $y$ depends only on $y$ and not on $x$ is a constant
If two distinct non-zero real variables $x$ and $y$ are such that $(x+y)$ is proportional to $(x-y)$ then the value of $\frac{x}{y}$depends on $x y$depends only on $x$ an...
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GATE BT 2024 | Question: 8
$2$-mercaptoethanol breaks the $\_\_\_\_\_\_\_$ covalent bond between light and heavy chains of an immunoglobulin molecule. $\text{C-N}$ $\text{N-O}$ $\text{S-C}$ $\text{S-S}$
$2$-mercaptoethanol breaks the $\_\_\_\_\_\_\_$ covalent bond between light and heavy chains of an immunoglobulin molecule.$\text{C-N}$ $\text{N-O}$$\text{S-C}$$\text{S-S...
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GATE BT 2024 | Question: 11
Which one of the following bacteriophages has a genome composed of single stranded circular DNA? $\emptyset \text{X} 174$ $\lambda$ $\text{T}5$ $\text{P}1$
Which one of the following bacteriophages has a genome composed of single stranded circular DNA?$\emptyset \text{X} 174$$\lambda$$\text{T}5$$\text{P}1$
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GATE BT 2024 | Question: 15
Krebs $\text{(TCA)}$ cycle is $\_\_\_\_\_\_$ pathway. only an anabolic only a catabolic an amphibolic a pyogenic
Krebs $\text{(TCA)}$ cycle is $\_\_\_\_\_\_$ pathway.only an anaboliconly a catabolic an amphibolica pyogenic
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GATE BT 2024 | Question: 17
All pseudogenes DO NOT code for a $\_\_\_\_\_\_\_$. protein with original function protein with altered function RNA with coding sequence RNA with regulatory function
All pseudogenes DO NOT code for a $\_\_\_\_\_\_\_$.protein with original functionprotein with altered functionRNA with coding sequenceRNA with regulatory function
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GATE BT 2024 | Question: 33
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution. convergent divergent neutral parallel
The evolution of wings in bats and insects is an example of $\_\_\_\_\_\_\_$ evolution.convergentdivergentneutralparallel
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GATE BT 2024 | Question: 27
Match the industrial enzyme (Column I) with its application (Column II). \begin{array}{|c|c|c|} \hline \text{Column I} & \text{Column II} \\ \hline \text{P. Lipase} & 1. \text{Maltose syrup production} \\ \hline \text{Q. Ficin} & 2. \text{Oil degradation} \\ \hline \text{R. Amylase ... $\text{P-2; Q-3; R-1; S-4}$ $\text{P-1; Q-2; R-4; S-3}$
Match the industrial enzyme (Column I) with its application (Column II).\begin{array}{|c|c|c|}\hline \text{Column I} & \text{Column II} \\\hline \text{P. Lipase} & 1. \...
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GATE BT 2024 | Question: 48
E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is $10^2$. After few hours, the number of viable cells is $10^6$. Assuming cell divides by binary fission, the number of generations that have taken place is $\_\_\_\_\_\_\_\_$ (rounded off to the nearest integer).
E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is $10^2$. After few hours, the number of viable ...
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GATE BT 2024 | GA Question: 8
The pie chart presents the percentage contribution of different macronutrients to a typical $2,000$ $\mathrm{kcal}$ diet of a person. The typical energy density $(\mathrm{kcal} / \mathrm{g})$ of these macronutrients is given in the table. \begin{array}{|l|c|} \ ... {array} The total fat (all three types), in grams, this person consumes is $44.4$ $77.8$ $100$ $3,600$
The pie chart presents the percentage contribution of different macronutrients to a typical $2,000$ $\mathrm{kcal}$ diet of a person.The typical energy density $(\mathrm{...
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GATE BT 2024 | GA Question: 10
The least number of squares to be added in the figure to make AB a line of symmetry is $6$ $4$ $5$ $7$
The least number of squares to be added in the figure to make AB a line of symmetry is$6$$4$ $5$ $7$
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GATE BT 2024 | Question: 2
The transfer function of a process is $G(s)=\frac{K_{p}}{\tau_{p} s+1}$, where $K_{p}$ is the gain and $\tau_{p}$ is the time constant. This is a $\_\_\_\_\_\_$ process. first order multi-capacity purely capacity second order
The transfer function of a process is $G(s)=\frac{K_{p}}{\tau_{p} s+1}$, where $K_{p}$ is the gain and $\tau_{p}$ is the time constant. This is a $\_\_\_\_\_\_$ process.f...
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GATE BT 2024 | Question: 6
Mendel's 'law of segregation' applies to the segregation of $\_\_\_\_\_\_\_\_$ during gamete formation. mitochondrial genes alleles of a gene linked genes on the same chromosome unlinked genes on the same chromosome
Mendel's 'law of segregation' applies to the segregation of $\_\_\_\_\_\_\_\_$ during gamete formation.mitochondrial genesalleles of a genelinked genes on the same chromo...
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GATE BT 2024 | GA Question: 9
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in $\mathrm{cm})$ is $18$ $24$ $20$ $21$
A rectangular paper of $20 \mathrm{~cm} \times 8 \mathrm{~cm}$ is folded $3$ times. Each fold is made along the line of symmetry, which is perpendicular to its long edge....
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GATE BT 2024 | GA Question: 7
A rectangular paper sheet of dimensions $54 \mathrm{~cm} \times 4 \mathrm{~cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is $1 / \pi$ $2 / \pi$ $3 / \pi$ $4 / \pi$
A rectangular paper sheet of dimensions $54 \mathrm{~cm} \times 4 \mathrm{~cm}$ is taken. The two longer edges of the sheet are joined together to create a cylindrical tu...
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GATE BT 2024 | Question: 23
The degree of reduction (reductance) for oxalic acid $\left(\mathrm{C}_2 \mathrm{H}_2 \mathrm{O}_4\right)$ is $\_\_\_\_\_\_$.
The degree of reduction (reductance) for oxalic acid $\left(\mathrm{C}_2 \mathrm{H}_2 \mathrm{O}_4\right)$ is $\_\_\_\_\_\_$.
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GATE BT 2024 | Question: 7
Co-translational translocation of proteins is observed in $\_\_\_\_\_\_\_$. endoplasmic reticulum Golgi complex mitochondria peroxisomes
Co-translational translocation of proteins is observed in $\_\_\_\_\_\_\_$.endoplasmic reticulumGolgi complexmitochondriaperoxisomes
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GATE BT 2024 | Question: 4
Which one of the following statements is correct about Reynolds Number $\left(N_{R e}\right)$ in a stirred tank bioreactor? $N_{R e}$ is independent of the viscosity of the medium In laminar flow, mixing time increases with an increase in $N_{R e}$ $N_{R e}$ is inversely proportional to the impeller speed In turbulent flow, mixing time is independent of $N_{R e}$
Which one of the following statements is correct about Reynolds Number $\left(N_{R e}\right)$ in a stirred tank bioreactor?$N_{R e}$ is independent of the viscosity of th...
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GATE BT 2024 | Question: 34
Which of the following statements is/are correct about an uncompetitive inhibitor of an enzyme? It binds to the substrate binding site of the enzyme only It binds to the enzyme-substrate complex only It reduces the $\mathrm{V}_{\max }$ of the enzyme It binds to both free enzyme and enzyme-substrate complex
Which of the following statements is/are correct about an uncompetitive inhibitor of an enzyme?It binds to the substrate binding site of the enzyme onlyIt binds to the en...
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GATE BT 2024 | Question: 32
Match the genetic disorder (Column I) with its molecular basis (Column II). \begin{array}{|c|c|c|} \hline \text{Column I} & \text{Column II} \\ \hline \text{P. Sickle-cell anemia} & 1. \text{Mutation in nucleotide excision repair} \\ \hline \text{Q. Xeroderma pigmentosum} & 2. \text{ ... $\text{P-3; Q-1; R-4; S-2}$ $\text{P-4; Q-2; R-3; S-1}$
Match the genetic disorder (Column I) with its molecular basis (Column II).\begin{array}{|c|c|c|}\hline \text{Column I} & \text{Column II} \\\hline \text{P. Sickle-cell a...
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GATE BT 2024 | Question: 35
Which of the following plant-based secondary metabolites belong(s) to the class of alkaloids? Ajmalicine $\left(\mathrm{C}_{21} \mathrm{H}_{24} \mathrm{~N}_2 \mathrm{O}_3\right)$ Azadirachtin $\left(\mathrm{C}_{35} \mathrm{H}_{44} \mathrm{O}_{16}\right)$ ... $\left(\mathrm{C}_{46} \mathrm{H}_{58} \mathrm{~N}_4 \mathrm{O}_9\right)$
Which of the following plant-based secondary metabolites belong(s) to the class of alkaloids? Ajmalicine $\left(\mathrm{C}_{21} \mathrm{H}_{24} \mathrm{~N}_2 \mathrm{O}_3...
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GATE BT 2024 | Question: 31
Match the item in Column I with the corresponding technique in Column II. \begin{array}{|c|c|c|} \hline & \text{Column I} & \text{Column II} \\ \hline & \text{P. Blue laser} & 1. \text{Electron microscopy} \\ \hline & \text{Q. Tungsten filament} & 2. \text{Fluorescence ... $\text{P-3; Q-1; R-4; S-2}$ $\text{P-3; Q-1; R-4; S-2}$
Match the item in Column I with the corresponding technique in Column II.\begin{array}{|c|c|c|}\hline & \text{Column I} & \text{Column II} \\\hline & \text{P. Blue laser}...
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GATE BT 2024 | Question: 19
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$. $\frac{1}{\sqrt{2}+1}$ $\frac{\sqrt{2}}{\sqrt{2}+1}$ $\frac{1}{\sqrt{2}-1}$ $\frac{\sqrt{2}}{\sqrt{2}-1}$
The value of the series $1+\sin x+\cos ^{2} x+\sin ^{3} x+\cdots$ at $x=\frac{\pi}{4}$ is $\_\_\_\_\_\_\_$.$\frac{1}{\sqrt{2}+1}$$\frac{\sqrt{2}}{\sqrt{2}+1}$$\frac{1}{\s...
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GATE BT 2024 | Question: 47
The free energy change of ATP hydrolysis at $25^{\circ} \mathrm{C}$ is $-32.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The free energy change for hydrolysis of $\alpha$-glycerophosphate to glycerol is $-8.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$ ... $\_\_\_\_\_\_\_\_$ $\mathrm{kJ} \mathrm{mol}^{-1}$ (Answer in integer).
The free energy change of ATP hydrolysis at $25^{\circ} \mathrm{C}$ is $-32.2 \mathrm{~kJ} \mathrm{~mol}^{-1}$. The free energy change for hydrolysis of $\alpha$-glycerop...
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GATE BT 2024 | GA Question: 5
For positive non-zero real variables $p$ and $q$, if \[ \log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3, \] then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is $79$ $81$ $9$ $83$
For positive non-zero real variables $p$ and $q$, if\[\log \left(p^{2}+q^{2}\right)=\log p+\log q+2 \log 3,\]then, the value of $\frac{p^{4}+q^{4}}{p^{2} q^{2}}$ is$79$$8...
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