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Recent questions tagged gate2015
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41
GATE2015-39
What are the eigenvalues of the following matrix? $\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$ $2$ and $3$ $-2$ and $3$ $2$ and $-3$ $-2$ and $-3$
What are the eigenvalues of the following matrix? $$\begin{bmatrix} 1 & 1 \\ -2 & 4 \end{bmatrix}$$$2$ and $3$$-2$ and $3$$2$ and $-3$$-2$ and $-3$
Milicevic3306
7.9k
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Milicevic3306
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Mar 26, 2018
Linear Algebra
gate2015
linear-algebra
matrices
eigen-values
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42
GATE2015-41
Match the drugs in $\text{Group I}$ with their mechanism of action in $\text{Group II}$ ... $P-2, Q-6, R-3, S-5$ $P-1, Q-3, R-6, S-5$ $P-2, Q-3, R-6, S-4$
Match the drugs in $\text{Group I}$ with their mechanism of action in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hline ...
Milicevic3306
7.9k
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Milicevic3306
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Mar 26, 2018
Others
gate2015
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43
GATE2015-43
Match the cells in $\text{Group I}$ with their corresponding entries in $\text{Group II}$ ... $\text{P-3, Q-1, R-2, S-5}$ $\text{P-3, Q-1, R-2, S-6}$
Match the cells in $\text{Group I}$ with their corresponding entries in $\text{Group II}$$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II} \\ \hlin...
Milicevic3306
7.9k
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Milicevic3306
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Others
gate2015
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44
GATE2015-44
Oxygen transfer was measured in a stirred tank bioreactor using dynamic method. The dissolved oxygen tension was found to be $80 \%$ air saturation under steady state conditions. The measured oxygen tensions at $7$ s and $17$ s were $55\%$ and $68\%$ air saturation, respectively. The volumetric mass transfer coefficient $K_{La}$ is __________ $s^{-1}$
Oxygen transfer was measured in a stirred tank bioreactor using dynamic method. The dissolved oxygen tension was found to be $80 \%$ air saturation under steady state con...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Others
gate2015
numerical-answers
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45
GATE2015-45
Match the microorganism in $\text{Group I}$ with their fermentation products in $\text{Group II}$ ... $\text{P-3, Q-4, R-1, S-2}$ $\text{P-3, Q-4, R-2, S-1}$
Match the microorganism in $\text{Group I}$ with their fermentation products in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \textbf{Group I} && \textbf{Group II}...
Milicevic3306
7.9k
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Milicevic3306
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Others
gate2015
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46
GATE2015-46
Plasmid DNA $(0.5 \: \mu g)$ containing an ampicillin resistance marker was added to $200 \: \mu l$ of competent cells. The transformed competent cells were diluted $10,000$ times, out of which, $50 \: \mu l$ was plated on agar plates containing ampicillin. A total of $35$ colonies were obtained. The transformation efficiency is _______$\times 10^6 \: \text{ cfu} \cdot \mu g^{-1}$
Plasmid DNA $(0.5 \: \mu g)$ containing an ampicillin resistance marker was added to $200 \: \mu l$ of competent cells. The transformed competent cells were diluted $10,0...
Milicevic3306
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Milicevic3306
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Others
gate2015
numerical-answers
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47
GATE2015-47
Match the reagents in $\text{Group I}$ with their preferred cleavage sites in $\text{Group II}$ ... $\text{P-1, Q-2, R-5, S-4}$ $\text{P-4, Q-2, R-5, S-3}$
Match the reagents in $\text{Group I}$ with their preferred cleavage sites in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \...
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Others
gate2015
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48
GATE2015-48
$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
$\textit{Saccharomyces cerevisiae}$ produces ethanol by fermentation. The theoretical yield of ethanol from $2.5$ g of glucose is _________ g.
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Milicevic3306
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Others
gate2015
numerical-answers
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49
GATE2015-49
Choose the CORRECT sequence of steps involved in cytoplast production. Digestion of cell wall $\to$ protoplast viability $\to$ cybrid formation $\to$ osmotic stabilizer Osmotic stabilizer $\to$ digestion of cell wall $\to$ protoplast viability $\to$ cybrid ... wall $\to$ cybrid formation Osmotic stabilizer $\to$ digestion of cell wall $\to$ cybrid formation $\to$ protoplast viability
Choose the CORRECT sequence of steps involved in cytoplast production.Digestion of cell wall $\to$ protoplast viability $\to$ cybrid formation $\to$ osmotic stabilizerOsm...
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Others
gate2015
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50
GATE2015-50
Match the antibiotics in $\text{Group I}$ with their modes of action in $\text{Group II}$ ... $\text{P-3, Q-2, R-1, S-4}$ $\text{P-1, Q-4, R-3, S-2}$
Match the antibiotics in $\text{Group I}$ with their modes of action in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline ...
Milicevic3306
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Mar 26, 2018
Others
gate2015
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51
GATE2015-51
The diameters of a large and a small vessel are $1.62$ m and $16.2$ cm. ,respectively. The vessels are geometrically similar and operated under similar volumetric agitated power input. The mixing time in the small vessel was found to be $15$ s. Determine the mixing tune (in seconds) in the large vessel. $15$ $30$ $61$ $122$
The diameters of a large and a small vessel are $1.62$ m and $16.2$ cm. ,respectively. The vessels are geometrically similar and operated under similar volumetric agitate...
Milicevic3306
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Milicevic3306
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Others
gate2015
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52
GATE2015-52
If $A = \begin{bmatrix} 4 & 2 \\ 1 & 3 \end{bmatrix}$, then $A^2+3A$ will be $\begin{bmatrix} 30 & 20 \\ 10 & 20 \end{bmatrix} \\$ $\begin{bmatrix} 28 & 10 \\ 4 & 18 \end{bmatrix} \\$ $\begin{bmatrix} 31 & 13 \\ 7 & 21 \end{bmatrix} \\$ $\begin{bmatrix} 20 & 10 \\ 5 & 15 \end{bmatrix}$
If $A = \begin{bmatrix} 4 & 2 \\ 1 & 3 \end{bmatrix}$, then $A^2+3A$ will be$\begin{bmatrix} 30 & 20 \\ 10 & 20 \end{bmatrix} \\$$\begin{bmatrix} 28 & 10 \\ 4 & 18 \end{b...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Linear Algebra
gate2015
linear-algebra
matrices
matrix-algebra
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53
GATE2015-53
Consider the following multiple sequence alignment of four DNA sequences. $\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{array}$Shannon's entropy of the above alignment is ___________
Consider the following multiple sequence alignment of four DNA sequences.$$\begin{array}{cccc} A & C & T & A \\ A & C & T & G \\ A & G & T & C \\ A & G & C & T \end{arra...
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Milicevic3306
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Others
gate2015
numerical-answers
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54
GATE2015-54
The $K_i$ of a novel competitive inhibitor designed against an enzyme is $2.5 \: \mu M$. The enzyme was assayed in the absence or presence of the inhibitor $(5 \: \mu M)$ under identical conditions. The $K_m$ in the presence of the inhibitor was found to be $30 \: \mu M$. The $K_m$ in the absence of the inhibitor is _________ $\mu M$
The $K_i$ of a novel competitive inhibitor designed against an enzyme is $2.5 \: \mu M$. The enzyme was assayed in the absence or presence of the inhibitor $(5 \: \mu M)$...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Others
gate2015
numerical-answers
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55
GATE2015-55
A heterozygous tall plant $(Tt)$ was crossed with a homozygous dwarf plant $(tt)$. The resultant seeds were collected. If five seeds are chosen at random, then the probability (in $\%$) that exactly two of these seeds will yiIeld dwarf plants is __________
A heterozygous tall plant $(Tt)$ was crossed with a homozygous dwarf plant $(tt)$. The resultant seeds were collected. If five seeds are chosen at random, then the probab...
Milicevic3306
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Milicevic3306
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Others
gate2015
numerical-answers
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56
GATE2015-56
Assuming random distribution of nucleotides, the average number of fragments generated upon digestion of a circular DNA of size $4.3 \times 10^5$ bp with $\textit{Alu}I (5 ' – AG \downarrow CT-3' )$ is _________$ \times 10^3$
Assuming random distribution of nucleotides, the average number of fragments generated upon digestion of a circular DNA of size $4.3 \times 10^5$ bp with $\textit{Alu}I (...
Milicevic3306
7.9k
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Milicevic3306
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Mar 26, 2018
Others
gate2015
numerical-answers
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57
GATE2015-57
A synchronous culture containing $1.8 \times 10^5$ monkey kidney cells was seeded into three identical flasks. The doubling time of these cells is $24$ h. After $24$ h, the cells from all the three flasks were pooled and dispensed equally into each well of three $6$-well plates. The number of cells in each well will be _________$\times 10^4$.
A synchronous culture containing $1.8 \times 10^5$ monkey kidney cells was seeded into three identical flasks. The doubling time of these cells is $24$ h. After $24$ h, t...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2015
numerical-answers
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58
GATE2015-58
An $\textit{in vitro}$ translation system can synthesize peptides m all three reading frames of the RNA template. When $\text{5' - UCUCUCUC --- (UC)_n---UCUCUCUC - 3'}$ was used as the template in this $\textit{in vitro}$ translation system, the synthesized ... peptides contained $33.3 \%$ each of serine. leucine, and proline. Deduce the codon for proline. $UCU$ $CUC$ $CCU$ $UCC$
An $\textit{in vitro}$ translation system can synthesize peptides m all three reading frames of the RNA template. When $\text{5’ - UCUCUCUC - (UC)_n -UCUCUCUC - 3’}$...
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Others
gate2015
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59
GATE2015-59
Three distinct antigens $X, Y$ and $Z$ were used to raise antibodies. Antigen $Z$ was injected in a mouse on day zero followed by the administration of antigens $X$ and $Y$ on day $28$. A second injection of antigen $X$ was administered on day $70$. The antibody titers were ... will be high on day $84$ $X$-specific IgG will be high on day $42$ $Y$-specific IgG will be high on day $84$
Three distinct antigens $X, Y$ and $Z$ were used to raise antibodies. Antigen $Z$ was injected in a mouse on day zero followed by the administration of antigens $X$ and $...
Milicevic3306
7.9k
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Milicevic3306
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Mar 26, 2018
Others
gate2015
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60
GATE2015-60
The standard free energy change $(\Delta G' ^\circ)$ for ATP hydrolysis is $-30 kJ \cdot \text{mole}^{-1}$. The $\textit{in vivo}$ concentrations of ATP, ADP and $P_i$ in $E \textit{.coli}$ are $7.90, 1.04$ and $7.90$ ... $(\Delta G)$ for ATP hydrolysis $\textit{in viva}$ is _______ $kJ \cdot \text{mole}^{-1}$.
The standard free energy change $(\Delta G' ^\circ)$ for ATP hydrolysis is $-30 kJ \cdot \text{mole}^{-1}$. The $\textit{in vivo}$ concentrations of ATP, ADP and $P_i$ in...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 26, 2018
Others
gate2015
numerical-answers
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answers
61
GATE2015-61
In a fed-batch culture, $200 \text{ g . L}^{-1}$ glucose solution is added at a flow rate of $50 \text{ L . h}^{-1}$ . The initial culture volume (at quasi steady state) and the initial cell concentration are $600 \: L$ and $20 \text{g . L}^{-1}$ , respectively. The ... g substrate$^{-1}$. The cell concentration $g . L^{-1})$ at quasi steady state at $t=8 \:h$ is $40$ $52$ $60$ $68$
In a fed-batch culture, $200 \text{ g . L}^{-1}$ glucose solution is added at a flow rate of $50 \text{ L . h}^{-1}$ . The initial culture volume (at quasi steady state) ...
Milicevic3306
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Milicevic3306
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Mar 26, 2018
Others
gate2015
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62
GATE2015-62
Cytoplasmic extract from the wild type strain of a bacterium has the ability to convert a colorless substrate $(S)$ to a colored product $(P)$ via three colorless intermediates $X, Y$ and $Z$ in that order. Each step of the pathway involves a specific ... No: no color developed) Based on the data, which one of the following is the correct order of enzymes involved in the pathway?
Cytoplasmic extract from the wild type strain of a bacterium has the ability to convert a colorless substrate $(S)$ to a colored product $(P)$ via three colorless interme...
Milicevic3306
7.9k
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Milicevic3306
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Others
gate2015
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0
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63
GATE2015-63
Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the samples were taken during the log phase of cell growth, the generation time of this bacterium will be ________$h$.
Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the sam...
Milicevic3306
7.9k
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Milicevic3306
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Mar 26, 2018
Others
gate2015
numerical-answers
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0
votes
0
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64
GATE2015-64
Biomass is being produced in a continuous stirred tank bioreactor of $750$ L capacity. The sterile feed containing $8 \: g \cdot L^{-1}$ glucose as substrate was fed at a flow rate of $150 \: L \cdot h^{-1}$ ... Determine the cell productivity $(g \cdot L^{-1} \cdot h^{-1})$ at steady state. $0.85$ $0.65$ $0.45$ $0.25$
Biomass is being produced in a continuous stirred tank bioreactor of $750$ L capacity. The sterile feed containing $8 \: g \cdot L^{-1}$ glucose as substrate was fed at a...
Milicevic3306
7.9k
points
Milicevic3306
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Mar 26, 2018
Others
gate2015
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65
GATE2015-65
A linear double stranded DNA of length $8$ kbp has three restriction sites. Each of these can either be a $\textit{Bam}\text{HI}$ or a $\textit{Hae}III$ site. The DNA was digested completely with both enzymes. The products were ... autoradiograph represent their mean signal intensity in arbitrary units. Which one of the following options is the correct restriction map of the DNA?
A linear double stranded DNA of length $8$ kbp has three restriction sites. Each of these can either be a $\textit{Bam}\text{HI}$ or a $\textit{Hae}III$ site. The DNA was...
Milicevic3306
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Milicevic3306
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Others
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