Recent questions

​​​​​A facultative pond system is employed for wastewater treatment. Which of the following statements is/are true:The dissolved oxygen concentration will be high during ...

The maximum value of the function $h(x)=-x^{3}+2 x^{2}$ in the interval $[-1,1.5]$ is equal to $\_\_\_\_$ (rounded off to $1$ decimal place).

A $6 \mathrm{~m} \times 6 \mathrm{~m}$ square footing constructed in clay is subjected to a vertical load of $2500 \: \mathrm{kN}$ at its centre. The base of the footing ...

A clayey soil has a moisture content of $18 \%$, a specific gravity of soil solids of $2.74$, and a degree of saturation of $65 \%$. The soil soaks up water during a rain...

A single pile with $450 \: \mathrm{mm}$ diameter has been driven into a homogeneous clay layer, which has an undrained cohesion $\left(c_{u}\right)$ of $20 \: \mathrm{kPa...

Two soils of permeabilities $k_{1}$ and $k_{2}$ are placed in a horizontal flow apparatus, as shown in the figure. For Soil $1, L_{1}=50 \mathrm{~cm}$, and $k_{1}=0.055 \...

A symmetrical trapezoidal canal is $100 \: \mathrm{km}$ long. The bottom width is $10 \: \mathrm{m}$ and the side slope is $1$ Horizontal : $1$ Vertical. The average flow...

A $5.0 \: \mathrm{m}$ wide rectangular channel carries a discharge of $10 \mathrm{~m}^{3} / \mathrm{s}$ at a depth of $1.5 \: \mathrm{m}$ under uniform flow. To produce c...

In levelling between two points $A$ and $B$ on the opposite banks of a river, the readings are taken by setting the instrument both at $A$ and $B$ , as shown in the table...

During determination of the bulk specific gravity of compacted bituminous specimen, the mass in air of the specimen is $1260 \mathrm{g}$ and volume is $525 \mathrm{~cm}^{...

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [$\_\_\_\_\_$...

Statements:1. All heroes are winners.2. All winners are lucky people.Inferences:I. All lucky people are heroes.II. Some lucky people are heroes.III. Some winners are hero...

A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in t...

If the sum of the first $20$ consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$

The ratio of the number of girls to boys in class $\text{VIII}$ is the same as the ratio of the number of boys to girls in class $\text{IX}$. The total number of students...

In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Yoko Roi stands $\text{(i)}$ as an author for standing $\text{(ii)}...

Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...

The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of...

Five cubes of identical size and another smaller cube are assembled as shown in Figure $\text{A}$. If viewed from direction $\text{X}$, the planar image of the assembly a...

​​​​Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. ...

Consider two Ordinary Differential Equations $\text{(ODEs)}$:$\text{P}$: $\frac{d y}{d x}=\frac{x^{4}+3 x^{2} y^{2}+2 y^{4}}{x^{3} y}$$\mathrm{Q}: \frac{d y}{d x}=\frac{-...