Recent questions tagged gate2013

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...

Following table gives data on tourists from different countries visiting India in the year $2011$.$$\begin{array}{|c|c|} \hline \textbf{Country} & \textbf{Number of Touri...

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 ar...

If $\text{|-2X + 9| = 3}$ then the possible value of $|-X|-X^2$ would be:$30$$-30$$-42$$42$

$\text{If}$ $3 \le X \le 5 \text{ and } 8 \le Y \le 11 \text{ then which of the following options is TRUE?}$$\frac{3}{5} \le \frac{X}{Y} \le \frac{8}{5}$$\frac{3}{11} \le...

What is the holding period (min) at a $K$ value of $\text{3.36min}^{-1}?$$10.6$$9.5$$8.4$$7.2$

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: bea...

$\underset{I}{\underline{\text{All engineering students}}}\; \underset{II}{\underline{\text{should learn mechanics,}}} \;\underset{III}{\underline{\text{mathematics and}}...

Mahatama Gandhi was known for his humility ashe played an important role in humiliating exit of British from Indiahe worked for humanitarian causeshe displayed modesty in...

The Headmaster ____________ to speak to you.Which of the following options is incorrect to complete the above sentence?is wantingwantswantwas wanting

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/...

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...

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 ste...

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 libra...

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 t...

Which one of the receptors has the highest affinity for the ligand?$R1$$R2$$R3$$R4$

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 concen...

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 pro...

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? ___________...

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}$

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...

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-Gl...

A complete restriction digestion of a circular plasmid $(5000bp)$ was carried out with $HindIII,BamHIandEcoRIindividually.$ Restriction digestion yielded following fragme...

Determine the correctness or otherwise of the following $\text{Assertion (a) and Reason (r)}$.$\text{Assertion:}$ $\text{UPGMA}$ method produces ultrametric tree.$\text{R...

Match the entries in the $\text{Group I}$ with the entries in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline P. & \text{...

Match the entries in $\text{Group I}$ with the entries in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline P. & \text{RNA...

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 ...

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$

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}$

Evaluate $\underset{x\rightarrow\infty }{\lim}x\tan\frac{1}{x}$$\infty$$1$$0$$-1$

Determine the correctness or otherwise of the following $\text{Assertion (a)}$ and $\text{Reason (r)}.$$\text{Assertion:}$ Immobilization of plant cells can enhance secon...

Match the herbicides in $\text{Group I}$ with the target enzymes in $\text{Group II}$ $\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline P. & ...

Match the entries in $\text{Group I}$ with the enzymes in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline P. & \text{NAD}...

Match the cell structures in $\text{Group I}$ with the organisms in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline P. & ...

Match the antibiotics in $\text{Group I}$ wiith the targets in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} & & \text{Group II} \\ \hline P. & \t...

Match the entries in the $\text{Group I}$ with the elution conditions in $\text{Group II}$.$\begin{array}{|l|l|l|l|} \hline & \text{Group I} && \text{Group II} \\ \hline...

In nature, $\text{Agrobacterium tumefaciens}$ mediated infection of plant cells leads toP. crown gall disease in plantsQ. hairy root disease in plantsR. transfer of $\tex...

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 ...