Recent questions tagged numerical-answers

Two sources of noise, adjacent to each other in a room, have sound pressure levels of $30$ and $40$ decibel $\text{(dB)}$. The combined sound pressure level in the room i...

Initially a bottle contained $400 \mathrm{~g}$ of ethanol. Half of ethanol was used by a student for preparing the stock solution in an environmental chemistry laboratory...

In a region, total annual consumption of gasoline is 30.6 million tons. The land required for growing sugarcane to produce enough bioethanol to replace the gasoline compl...

$p$ and $q$ are positive integers and $\frac{p}{q}+\frac{q}{p}=3$ \end{tabular} then, $\frac{p^{2}}{q^{2}}+\frac{q^{2}}{p^{2}}=$$3$$7$$9$$11$

Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolve...

The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in w...

$\lim _{x \rightarrow 0} \frac{x^{2}}{\sin x}=$$0$ $1$$2$$-1$

The table below shows the carbon content of four samples of powdered coal. If these four samples are mixed completely, what would be the resultant carbon percentage of th...

A sample of air is collected in the morning at an ambient temperature of $\mathbf{2 5}{ }^{\circ} \mathbf{C}$. The concentration of carbon monoxide $\text{(CO)}$ in this ...

In proximate analysis, when a $10 \mathrm{~kg}$ moisture-free solid sample is heated in a furnace at $950^{\circ} \mathrm{C}$ in the absence of air, its mass is reduced b...

What is the $\text{pH}$ of a water sample having $\mathrm{H}^{+}$ concentration of $10$ $\mathrm{mg} / \mathrm{L}$?The atomic weight of $\mathrm{H}$ is $1 \mathrm{~g} / ...

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...

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...

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 ...

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...

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...

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...

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...

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...

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 _________.$\text{(answer in integer)}$