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Recent questions tagged gate2020
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GATE2020: 21
The number of molecules of a nucleotide of molecular weight $300\:g$/mol present in $10$ picomoles is ____________ $\times10^{12}$ (round off to $2$ decimal places).
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2
GATE2020: 22
To facilitate mass transfer from a gas to a liquid phase, a gas bubble of radius $r$ is introduced into the liquid. The gas bubble then breaks into $8$ bubbles of equal radius. Upon this change, the ratio of the interfacial surface area to the gas phase volume for the system changes from $3/r$ to $3n/r$. The value of $n$ is _____________________.
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3
GATE2020: 23
The largest eigenvalue of the matrix $\begin{bmatrix} 4 &1 \\ -2& 1 \end{bmatrix}$ is ______________.
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Linear Algebra
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gate2020
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linear-algebra
matrices
eigen-values
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4
GATE2020: 24
A normal random variable has mean equal to $0$, and standard deviation equal to $3$. The probability that on a random draw the value of this random variable is greater than $0$ is __________ (round off to $2$ decimal places).
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Probability and Statistics
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gate2020
numerical-answers
probability-and-statistics
probability
mean-and-standard-deviation
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5
GATE2020: 25
A variable $Y$ is a function of $t$. Given that $Y\left ( t=0 \right )=1$ and $Y\left ( t=1 \right )=2,\dfrac{dY}{dt}$ in the interval $t=\left [ 0,1 \right ]$ can be approximated as _________________.
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numerical-answers
differential-equations
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6
GATE2020: 26
A block of ice at $0 \:^{\circ}C$ is supplied heat at a constant rate to convert ice to superheated steam. Which one of the following trajectories correctly represents the trend of the temperature of the system with time? Assume that the Specific heat of $H_{2}O$ is not a function of temperature.
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7
GATE2020: 27
The $DNA$ sequence shown below is to be amplified by $PCR$: $5{}'$ GCTAAGATCTGAATTTTCC$\dots\dots$TTGGGCAATAATGTAGCGC$3{}'$ $3{}'$ CGATTCTAGACTTAAAAGG$\dots\dots$AACCCGTTATTACATCGCG$3{}'$ Which one of the following pair of primers can be used for this amplification? $5{}'$ ... $5{}'$ GCGCTACATTATTGCCCA$3{}'$ $5{}'$ GCTAAGATCTGAATTTTC$3{}'$ and $5{}'$ TGGGCAATAATGTAGCGC$3{}'$
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GATE2020: 28
Which of the following statements about immune response are $CORRECT$? $T$ cells are activated by antigen-presenting cells Foreign peptides are not presented to helper $T$ cells by Class $II$ $MHC$ proteins Dendritic cells are referred to as professional antigen- presenting cells $P$ and $R$ only $P$ and $Q$ only $Q$ and $R$ only $P, Q$ and $R$
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9
GATE2020: 29
Which of the following statemets are $CORRECT$ about eukaryotic cell cycle? $CDKs$ can phosphorylate proteins in the absence of cyclins $CDKs$ can be inactivated by phosphorylation Degradation of cyclins is required for cell cycle progression $CDKs$ are not involved in chromosome condensation $P$ and $R$ only $P$ and $S$ only $P, Q$ and $R$ only $Q$ and $R$ only
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10
GATE2020: 30
$W,X$ and $Y$ are the intermediates in a biochemical pathway as shown below: $S \cdots \cdots \rightarrow W\rightarrow X\rightarrow Y\rightarrow Z$ Mutants auxotrophic for $Z$ are found in four different complementation groups, namely $Z1$, $Z2$, $Z3$ ... $S \cdots \cdots \overset{Z4}{\rightarrow}W\overset{Z1}{\rightarrow}X\overset{Z2}{\rightarrow} Y\overset{Z3}{\rightarrow}Z$
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gate2020
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11
GATE2020: 31
In tomato plant, red ($R$) is dominant over yellow ($r$) for fruit color and purple ($P$) is dominant over green ($p$) for stem color. Fruit color and stem color assort independently. The number of progeny plants of different fruit/stem colors obtained from a ... genotypes of the parent plants in this mating? $RrPp \times Rrpp$ $RrPp \times RrPp$ $RRPP \times rrpp$ $RrPP \times Rrpp$
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gate2020
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12
GATE2020: 32
Some of the cytokinins used in plant tissue culture media are given below: $BAP$ Zeatin Kinetin $2iP$ Which of these are synthetic analogs? $P$ and $Q$ only $Q$ and $S$ only $R$ and $S$ only $P$ and $R$ only
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gate2020
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13
GATE2020: 33
Carl Woese used the gene sequence of which one of the following for phylogenetic taxonomy of prokaryotes? A ribosomal $RNA$ of large ribosomal subunit A ribosomal $RNA$ of small ribosomal subunit A ribosomal protein of large ribosomal subunit A ribosomal protein of small ribosomal subunit
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gate2020
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14
GATE2020: 34
A list of pathogens $(Group\; I)$ and a list of anti-microbial agents $(Group\; II)$ ... $P-5, Q-2, R-4, S-1$ $P-2, Q-3, R-4, S-1$ $P-2, Q-3, R-1, S-5$
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gate2020
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15
GATE2020: 35
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: Dam methylase protects $E$. coli $DNA$ from phage endonucleases Reason [$r$]: $E$. coli Dam methylase methylates the adenosine residue in the sequence "$GATC$" Both [ ... not the correct reason for [$a$] Both [$a$] and [$r$] are false [$a$] is false but [$r$] is true
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gate2020
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16
GATE2020: 36
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: Embryonic stem cells are suitable for developing knockout mice Reason [$r$]: Homologous recombination is more frequent in embryonic stem cells than that in somatic cells Both [$a$] ... ] are true, but [$r$] is not the correct reason for [$a$] [$a$] is true. but [$r$] is false
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gate2020
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17
GATE2020: 37
The schematic of a plasmid with a gap in one of the strands is shown below: Which of the following enzyme(s) is/are required to fill the gap and generate a covalently closed circular plasmid? $DNA$ ligase AIkaline phosphatase $DNA$ polymerase Polynucleotide kinase $P$ only $P, R$ and $S$ only $P$ and $R$ only $P, Q$ and $R$ only
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gate2020
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18
GATE2020: 38
Match sub-cellular organelles listed in $Group\; I$ with their features listed in $Group\; II$ ... $P-2, Q-3, R-4, S-1$ $P-3, Q-4, R-2, S-1$ $P-3, Q-1, R-4, S-2$
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gate2020
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19
GATE2020: 39
Which of the following strategies are used by cells for metabolic regulation? Phosphorylation-dephosphorylation Allostery Feedback inhibition $P$ and $Q$ only $P$ and $R$ only $Q$ and $R$ only $P, Q$ and $R$
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gate2020
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20
GATE2020: 40
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: A zygote and its immediate descendant cells are unspecialized and are called totipotent Reason [$r$]: Totipotent cells retain the capacity to differentiate into only a few cell types ... $r$] are true and [$r$] is the correct reason for [$a$] [$a$] is true but [$r$] is false
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gate2020
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21
GATE2020: 41
Which of the following statements about gene therapy are CORRECT? Affected individuals, but not their progeny, can be cured through germline gene therapy Affected individuals, as well as their progeny, can be cured through germline gene therapy Affected individuals, but not their progeny, can be cured ... therapy $P$ and $R$ only $P$ and $S$ only $Q$ and $R$ only $Q$ and $S$ only
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gate2020
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22
GATE2020: 42
Determine the correctness or otherwise of the following Assertion [$a$] and the Reason [$r$]. Assertion [$a$]: A genetically engineered rice that produces beta-carotene in the rice grain is called Golden rice Reason [$r$ ... [$r$] are true and [$r$] is the correct reason for [$a$] [$a$] is true but [$r$] is false
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gate2020
0
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23
GATE2020: 43
The sequence of a $1$ $Mb$ long $DNA$ is random. This $DNA$ has all four bases occurring in equal proportion. The number of nucleotides, on average, between two successive $EcoRI$ recognition site $GAATTC$ is ____________.
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gate2020
numerical-answers
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24
GATE2020: 44
$E$ coli was grown in $^{15}N$ medium for several generations. Cells were then transferred to $^{14}N$ medium, allowed to grow for $4$ generations and $DNA$ was isolated immediately. The proportion of total $DNA$ with intermediate density is ___________ (round off to $2$ decimal places).
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gate2020
numerical-answers
0
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0
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25
GATE2020: 45
A batch reactor is inoculated with $1 \:g/L$ biomass. Under these conditions, cells exhibit a lag phase of $30$ min. If the specific growth rate in the log phase is $0.00417\;min^{-1}$, the time taken for the biomass to increase to $8 \:g/L$ is ________________ min (round off to $2$ decimal places).
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gate2020
numerical-answers
0
votes
0
answers
26
GATE2020: 46
The system of linear equations $cx+y=5$ $3x+3y=6$ has no solution when $c$ is equal to _______________________.
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Linear Algebra
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gate2020
numerical-answers
linear-algebra
system-of-equations
0
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0
answers
27
GATE2020: 47
The amino acid sequence of a peptide is $Phe-Leu-lle-Met-Ser-Leu$. The number of codons that encode the amino acids present in this peptide is given below: Phe: $2$ codons Leu: $6$ codons Ile: $3$ codons Met: $1$ codon Ser: $4$ codons The number of unique $DNA$ sequences that can encode this peptide is ___________.
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gate2020
numerical-answers
0
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28
GATE2020: 48
Assume that a cell culture was started with five human fibroblast cells. Two cells did not divide even once whereas the other three cells completed three rounds of cell division. At this stage, the total number of kinetochores in all the cells put together is ___________________.
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gate2020
numerical-answers
1
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29
GATE2020: 49
Growth of an organism on glucose in a chemostat is characterized by Monod model with specific growth rate = $0.45 \:h^{-1}$ and $K_{s}= 0.5 \:g/L$. Biomass from the substrate is generated as $Y_{XS}=0.4 \:g/g$. The chemostat volume is $0.9\:L$ ... at $1\:L/h$ and contains $20 \:g/L$ of glucose. At steady state, the concentration of biomass in the chemostat is _________________ $g/L$.
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gate2020
numerical-answers
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30
GATE2020: 50
A function $f$ is given as : $f(X)=4X-X^{2}$ The function $f$ is maximized when $X$ is equal to _________________.
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Calculus
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gate2020
numerical-answers
calculus
maxima-minima
0
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0
answers
31
GATE2020: 51
An infinite series $S$ is given as: $S=1+2/3+3/9+4/27+5/81+\:.\dots$ (to infinity) The value of $S$ is ______________________ (round off to $2$ decimal places).
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Calculus
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numerical-answers
calculus
sequences-and-series
infinite-series
0
votes
0
answers
32
GATE2020: 52
Protein $A$ and protein $B$ form a covalent complex. Gel filtration chromatography of this complex showed a peak corresponding to $200 \:kDa$. $SDS-PAGE$ analysis of this complex, with and without beta-mercaptoethanol, showed a single band corresponding to molecular ... the molecular weight of protein $A$ is $25 \:kDa$, the molecular weight of protein $B$ is ________________ $kDa$.
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numerical-answers
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33
GATE2020: 53
The concentrations of $ATP$, $ADP$ and inorganic phosphate in a cell are $2.59, \:0.73$ and $2.72 \:mM$, respectively. Under these conditions, free energy change for the synthesis of $ATP$ at $37^{\circ}C$ is $kJ$/mol (round off to $2$ decimal places). Given: free energy change for $ATP$ hydrolysis under standard conditions is $-30.5$ $kJ$/mol and $R=8.315$ $kJ/mol.K$
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gate2020
numerical-answers
0
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34
GATE2020: 54
An algorithm was designed to find globins in protein sequence databases. A database which has $78$ globin sequences was searched using this algorithm. The algorithm retrieved $72$ sequences of which only $65$ were globins. The sensitivity of this algorithm is ___________ $\%$ (round off to $2$ decimal places).
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gate2020
numerical-answers
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35
GATE2020: 55
The mitochondrial electron transfer chain oxidizes $NADH$ with oxygen being the terminal electron acceptor. The redox potentials for the two half-reactions are given below: $NAD^{+}+H^{+}+2e^{-}\rightarrow NADH,E^{0}{}'=-0.32V$ ... electrons from $NADH$ to $O_{2}$ is _________________ $kJ/mol$ (round off to $2$ decimal places). Given: $F=96500\:C$/mol.
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gate2020
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36
GATE2020: GA: 4
Hit by floods, the kharif (summer sown) crops in various parts of the country have been affected. Officials believe that the loss in production of the kharif crops can be recovered in the output of the rabi (winter sown) crops so that the country can achieve ... cannot be met due to floods. Officials hope that the food-grain production target will be met due to a good rabi produce.
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Verbal Aptitude
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gate2020
verbal-ability
verbal-reasoning
passage-reading
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37
GATE2020: GA: 5
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______ $n^2-n$ $n^2+n$ $2n^2-n$ $2n^2+n$
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Quantitative Aptitude
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gate2020
numerical-ability
arithmetic-series
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38
GATE2020: GA: 6
Repo rate is the rate at which Reserve Bank of India $\text{(RBI)}$ lends commercial banks, and reverse repo rate is the rate at which $\text{(RBI)}$ borrows money from commercial banks. Which of the following statements can be ... borrowing and decrease lending by commercial banks. Decrease in repo rate will decrease cost of borrowing and increase lending by commercial banks.
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Verbal Aptitude
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verbal-ability
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passage-reading
0
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39
GATE2020: GA: 7
$P,Q,R,S,T,U,V,$ and $W$ are seated around a circular table. $S$ is seated opposite to $W$ $U$ is seated at the second place to the right of $R$ $T$ is seated at the third place to the left of $R$ $V$ is a neighbour of $S$ Which of the following must be true? $P$ is a neighbour of $R$ $Q$ is a neighbour of $R$ $P$ is not seated opposite to $Q$ $R$ is the left neighbour of $S$
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Analytical Aptitude
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analytical-aptitude
logical-reasoning
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40
GATE2020: GA: 8
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ hour after the car $P$ started. The two cars crossed each other $75$ minutes after the car $Q$ ... $Q$ had travelled when the cars crossed each other? $66.6$ $75.2$ $88.2$ $116.5$
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