# Recent questions tagged gate2013

1
In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production $2\%$ of $M1$ and $3\%$ of $M2$ are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by $M2$? $0.35$ $0.45$ $0.5$ $0.4$
2
Following table gives data on tourists from different countries visiting India in the year $2011$ ... the one third of the total number of tourists ho visited India in $2011$? USA and Japan USA and Australia England and France Japan and Australia
3
All professors are researchers. Some scientists are professors. Which of the given conclusions is logically valid and is inferred from the above arguments: All scientists are researchers All professors are scientists Some researchers are scientists No conclusion follows
4
If $\text{|-2X + 9| = 3}$ then the possible value of $|-X|-X^2$ would be: $30$ $-30$ $-42$ $42$
5
What is the holding period (min) at a $K$ value of $\text{3.36min}^{-1}?$ $10.6$ $9.5$ $8.4$ $7.2$
6
Select the pair that best expresses a relationship similar to that expressed in the pair $\text{water: pipe::}$ $\text{cart: road}$ $\text{electricity: wire}$ $\text{sea: beach}$ $\text{music: instrument}$
7
$\underset{I}{\underline{\text{All engineering students}}}\; \underset{II}{\underline{\text{should learn mechanics,}}} \;\underset{III}{\underline{\text{mathematics and}}}\; \underset{IV}{\underline{\text{how to do computation.}}}$ Which of the above underlined parts of the sentence is not appropriate? I II III IV
8
Mahatama Gandhi was known for his humility as he played an important role in humiliating exit of British from India he worked for humanitarian causes he displayed modesty in his interactions he was a fine human being
9
The Headmaster ____________ to speak to you. Which of the following options is incorrect to complete the above sentence? is wanting wants want was wanting
10
d 8 S Y S 11 then which of the following options is TRUE?
11
Velocity of an object fired directly in upward direction is given by $V = 80-32 t$, where $t$ (time)is in seconds. When will the velocity be between $32 m/sec$ and $64 m/sec$. $(1,3/2)$ $(½,1)$ $(½, 3/2)$ $(1, 3)$
12
A solution was prepared by dissolving $\text{100 mg}$ of protein $X$ in $\text{100 ml}$ of water. Molecular weight of protein $X$ is $\text{15,000 Da};$ Avogadro’s number = $6.022\times 10^{23}$. The number of molecules present in this solution is $40.15\times10^{19}$ $6.023\times10^{19}$ $4.015\times10^{19}$ $0.08\times10^{19}$
13
Which one of the receptors has the highest affinity for the ligand? $R1$ $R2$ $R3$ $R4$
14
During sterilization of a fermentation medium in a given bioreactor $\nabla_{heaing}=12.56, \nabla_{cooling}= 7.48$ and the total value of $\nabla$ required for whole sterilization process is $52$, where $\nabla$ is the design criteria. What is the value of $\nabla_{holding}$? $31.96$ $42.32$ $52.43$ $61.18$
15
A DNA fragment of $5000bp$ needs to be isolated from E.coli (genome size $4\times10^3kb$) genomic library. The number of clones to represent this fragment in genomic library with a probability of $95\%$ are $5.9\times10^3$ $4.5\times10^3$ $3.6\times10^3$ $2.4\times10^3$
16
A DNA fragment of 5000bp needs to be isolated from $E.coli$ (genome size $4\times10^3 kb$) genomic library. The minimum number of independent recombinant clones required to represent this fragment in genomic library are $16\times10^2$ $12\times10^2$ $8\times10^2$ $1.25\times10^2$
17
A solution was prepared by dissolving $\text{100 mg}$ of protein $X$ in $\text{100 ml}$ of water. Molecular weight of protein $X$ is $\text{15,000 Da};$ Avogadro’s number = $6.022\times 10^{23}$. Calculate the molarity$(\mu M)$ of the resulting solution. $66.6$ $6.6$ $0.67$ $0.067$
18
Common Data for Questions 50 and 51:The binding eciency of three diamt receptorsRL R2 and R3 were tested against a ligand usirequilibrium dialysis, uith a constant concentration of receptor and varying concentrations of ligand- TlScatchard plot of receptor titration with diermt concentration of ... binding sites present on receptors R1 and R3, respectively are 1 and 4 l and l 4 and 1 2 and 2
19
One percent of the cars manufactured by a company are defective. What is the probability (upto four decimals) that more than two cars are defective, if $100$ cars are produced? ______________
20
In a genetic study, $80$ people were found to have alleles for polydactyly. Only $36$ of them were polydactylous. What is the extent of penetrance percentage? _____________
21
The total number of fragments generated by the complete and sequential cleavage of the polypeptide given below by Trypsin followed by $CNBr$ is __________. $Phe-Trp-Met-Gly-Ala-Lys-Leu-Pro-Met-Asp-Gly-Arg-Cys-Ala-Gln$
22
The solution to $\frac {dy}{dx}+y \cot x=\csc x$ is $y=(c+x)\cot x$ $y=(c+x)\csc x$ $y=(c+x)\csc x\cot x$ $y=(c+x)\frac{\csc x}{\cot x}$
23
A fed batch culture was operated with intermittent addition of glucose solution at a flow rate of $\text{200 ml h}^{-1}$. The values of $K_s,\: \mu_m$ and $D$ are $\text{0.3 g l}^{-1}, 0.4\:h^{-1}$ and $\text{0.1 h}^{-1}$, respectively. Determine the concentration of growth limiting substrate $(gl^{-1})$ in the reactor at quasi-steady state. ______________
24
The maximum cell concentration $(\text{g l}^{-1})$ expected in a bioreactor with initial cell concentration of $\text{1.75 g l}^{-1}$ and an initial glucose concentration of $\text{125 g l}^{-1}$ is ($Y_{X/S} = 0.6\:g\:cell/g$ substrate) ____________.
25
A complete restriction digestion of a circular plasmid $(5000bp)$ was carried out with $HindIII,BamHIandEcoRIindividually.$ Restriction digestion yielded following fragments. $Plasmid + HindIII \rightarrow 1200bp\: and\: 3800bp$ $Plasmid + BamHI \rightarrow 5000bp$ $Plasmid + EcoRI \rightarrow 2500bp$ ... $EcoRI-1, BamHI- 1, HindIII-2$ $EcoRl-3, BamHI-2, HindIII-1$ $EcoRI-2, BamHI-2, HindIII-1$
26
The solution of the following set of equations is $x+2y+3z=20$ $7x+3y+z=13$ $x+6y+2z=0$ $x=-2, y=2, z=8$ $x=2, y=-3, z=8$ $x=2, y=3, z=-8$ $x=8, y=2, z=-3$
27
The Laplace transform of $f(t) = 2t + 6$ is $\frac{1}{s}+\frac{2}{s^2}$ $\frac{3}{s}-\frac{6}{s^2}$ $\frac{6}{s}+\frac{2}{s^2}$ $-\frac{6}{s}+\frac{2}{s^2}$
28
Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$ $\infty$ $1$ $0$ $-1$
29
Determine the correctness or otherwise of the following $\text{Assertion (a) and Reason (r)}$. $\text{Assertion:}$ $\text{UPGMA}$ method produces ultrametric tree. $\text{Reason:}$ Sequence alignment is converted into evolutionary distances in $\text{UPGMA}$ method. Both $(a)$ and $(r)$ are true ... not the correct reason for $(a)$ $(a)$ is true but $(r)$ is false $(a)$ is false but $(r)$ is true
30
Match the entries in the $\text{Group I}$ with the entries in $\text{Group II}$ ... $\text{P-2, Q-1, R-3, S-4}$ $\text{P-3, Q-4, R-2, S-1}$ $\text{P-1, Q-4, R-3, S-2}$
31
Match the entries in $\text{Group I}$ with the entries in $\text{Group II}$ ... $\text{P-4, Q-3, R-2, S-1}$ $\text{P-3, Q-2, R-1, S-4}$ $\text{P-2, Q-4, R-1, S-3}$
32
The activity of an enzyme was measured by varying the concentration of the substrate $(S)$ in the presence of three different concentrations of inhibitor $\text{(I) 0, 2 and 4 mM.}$ The double reciprocal plot given below suggests that the inhibitor $(I)$ exhibits substrate inhibition uncompetitive inhibition mixed inhibition competitive inhibition
33
Determine the correctness or otherwise of the following $\text{Assertion (a)}$ and $\text{Reason (r)}.$ $\text{Assertion:}$ Immobilization of plant cells can enhance secondary metabolite production during bioreactor cultivation. $\text{Reason:}$ Immobilization protects the plant cells from shear forces in the ... reason for $(a)$ $(a)$ is true but $(r)$ is false $(a)$ is false but $(r)$ is true
34
Match the herbicides in $\text{Group I}$ with the target enzymes in $\text{Group II}$ ... $\text{P-4, Q-1, R-2, S-3}$ $\text{P-4, Q-3, R-2, S-1}$ $\text{P-3, Q-2, R-4, S-1}$
35
Match the entries in $\text{Group I}$ with the enzymes in $\text{Group II}$ ... $\text{P-4, Q-1, R-3, S-2}$ $\text{P-3, Q-1, R-4, S-2}$ $\text{P-3, Q-4, R-2, S-1}$
36
Match the cell structures in $\text{Group I}$ with the organisms in $\text{Group II}$ ... $\text{P-4, Q-3, R-2, S-1}$ $\text{P-3, Q-4, R-1, S-2}$ $\text{P-4, Q-1, R-3, S-2}$
37
Match the antibiotics in $\text{Group I}$ wiith the targets in $\text{Group II}$ ... $\text{P-2, Q-4, R-3, S-1}$ $\text{P-4, Q-1, R-2, S-3}$ $\text{P-3, Q-4, R-2, S-1}$
Match the entries in the $\text{Group I}$ with the elution conditions in $\text{Group II}$ ... $\text{P-4, Q-3, R-1, S-2}$ $\text{P-3, Q-4, R-1, S-2}$ $\text{P-3, Q-4, R-2, S-1}$
In nature, $\text{Agrobacterium tumefaciens}$ mediated infection of plant cells leads to P. crown gall disease in plants Q. hairy root disease in plants R. transfer of $\text{T-DNA}$ into the plant chromosome S. transfer of Ri-plasmid into the plant cell S only P and R only Q and S only Q only
In a batch culture, the specific rate of substrate utilization is $\text{0.25 g (g cell mass)}$^{-1} h^{-1}$and specific rate of product formation is$\text{0.215 g (g cell mass)}$^{-1}h^{-1}$ . Calculate the yield of product from the substrate$(Y_{p/s})$._______________