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Consider the following equation:$x^{3}-10 x^{2}+31 x-30=0$Which of the following is/are the root(s) of the above equation?$1$$2$$3$$4$
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A flocculation tank used for water treatment has a velocity gradient $(G)$ of $800 \mathrm{~s}^{-1}$. The volume of the tank is $40 \mathrm{~m}^{3}$. The dynamic viscosit...
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A wind rose is a representation of meteorological conditions. Which of the following is/are included in this representation?Mixing heightWind speedWind directionPercentag...
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In a sample, the growth of microbial cells started with an initial concentration of $5 \times 10^4$ cells per millilitre $(\mathrm{mL})$ of the sample. After a certain ti...
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A water jet discharging from a $4 \mathrm{~cm}$ diameter orifice has a diameter of 3.5 $\mathrm{cm}$ at its vena contracta. The coefficient of velocity is defined as the ...
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The $2 \times 2$ matrices $P$ and $Q$ satisfy the following relations:$\mathbf{P}+\mathbf{Q}=\left[\begin{array}{cc}3 & 1 \\ 2 & 12\end{array}\right]$ and$\mathbf{P}-\mat...
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Match the entries in Column I with the correct entries in Column II.Column IColumn IIDiffusionPasquillDrag forceFickAtmospheric stabilityStokes$\text{P-(iii), Q-(ii), R-(...
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A biased die has six faces numbered as $k=1,2,3,4,5$, and $6$. On rolling the die, the probability of the number k appearing is proportional to $k^{2}$. What is the proba...
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Which of the following international multilateral agreements $\text{(conventions, protocols)}$ from Column I match with the entries in Column II?Column IColumn IIRamsar C...
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An ideal PFR or an ideal CFSTR may be used to degrade a pollutant with first order reaction kinetics. Both the reactors are fed with the same inlet concentration and the ...
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A $200 \mathrm{~mL}$ sample of water has an initial $\mathrm{pH}=9$. In order to determine alkalinity, the sample was titrated using $0.02 \mathrm{~N} \mathrm{H}_2 \mathr...
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A sewage treatment plant $\text{(STP)}$ receives sewage at a flow rate of $20000 \mathrm{~m}^3$ per day. The sewage has $200 \mathrm{mg} / \mathrm{L}$ of suspended solids...
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In context of municipal solid waste treatment, match the equipment in List I with their function in List II.List IList IITrommelSize reductionMagnetic separatorAluminium ...
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The characteristics of a water sample are as follows: $\mathrm{Na}^{+}=92 \mathrm{mg} / \mathrm{L}$, $\mathrm{K}^{+}=19.5 \mathrm{mg} / \mathrm{L}, \mathrm{Ca}^{2+}=40 \m...
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Which of the following is true for the nitrifying bacteria belonging to genus Nitrobacter?They are autotrophs.They are eukaryotes.They convert chemical energy to cellular...
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Which of the following isiare the dominant mechanism(s) for the removal of spherical particles with diameter less than $10 \mu \mathrm{m}$ from a gas stream using a fabri...
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In air pollution, which of the following is/are classified as primary pollutants?Carbon monoxide $(\mathrm{CO})$Sulphur dioxide $\left(\mathrm{SO}_{2}\right)$Ozone $\left...
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Which of the following is/are correct for the process of glycolysis?There is net decrease in standard Gibbs free energy.The end product is glyceraldehyde 3-phosphate.Fist...
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In the context of water quality, which of the following is/are correct for the most probable number $\text{(MPN)}$ of a water sample?The estimated organisms are gram nega...
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If $f(x)+3 f(g(x))=x-2$where $g(x)=\frac{3 x+1}{x-3}$ then the value of the ratio $\frac{f(5)}{f(8)}$ is _________.$\text{(answer in integer)}$