Questions by gatecse

For the traverse given below, the benchmark is at ground point $\text{L}$. The Reduced Level (RL) of $\text{L}$ is $150.000$ m. The direction of the traverse is from $\te...

The $2.4$ ml of raw sewage is diluted to $240$ ml. The Dissolved Oxygen (DO) of the diluted sample at the beginning of Biochemical Oxygen Demand (BOD) test was $8 \mathrm...

Types of flood routing and methods are given in the table below.\[\begin{array}{|l|l|}\hline\begin{array}{l}\text{Column 1}\\\text{Type of Flood Routing}\end{array}&\begi...

A shallow footing is subjected to a vertical load. Within the elastic limit of the underlying soil, the TRUE statement(s) is/are:Vertical displacement below a rigid shall...

Which of the following statements is/are TRUE with respect to the type of stresses to be considered for the design of rigid pavements?Warping stress due to temperature di...

Consider differential equation $\dfrac{d y}{d x}+x y=x$ with the condition as $y=0$ at $x=0$. The value of $y$ at $x=1.0$ is $\_\_\_\_$ (rounded off to two decimal places...

The age (in years) of a population is normally distributed with a mean of $36$ and standard deviation of $12$. The height (in cm) of the same population is also normally ...

A $250 \mathrm{~mm}$ wide $\times 600 \mathrm{~mm}$ deep rectangular concrete beam is prestressed by means of $4$ high-tensile tendons, each of $14 \mathrm{~mm}$ diameter...

A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length $L$. The frame has a fixed support at one end and a roller support at the ...

Linearly elastic, homogeneous, uniform bars $\text{BCD}$ and $\text{FG}$ shown in the figure have fixed supports at $\text{B}$ and $\text{G}$, respectively. For both the ...

A simply-supported rectangular reinforced concrete beam has a width $250$ mm and an overall depth $600$ mm . The effective span of the beam is $6.23$ m. The beam carries ...

Width (in m) of a rectangular channel required to carry a discharge of $96 \mathrm{~m}^{3} / \mathrm{s}$ at a critical depth of $9.8 \text{ m}$ is $\_\_\_\_$ (rounded off...

The cross section of a $0.5$ m wide vertical gate holding water and oil is shown in the figure. The unit weights of water and oil are $10 ~\mathrm{kN} / \mathrm{m}^{3}$ a...

A centrifugal pump is delivering water from an underground tank to an overhead reservoir against a static head of $35$ m through a $2$ km long, $250$ mm diameter pipe. Th...

The flow depth for a discharge of $10 \mathrm{~m}^{3} / \mathrm{s}$ in a wide rectangular channel is $2.0 \text{ m}$. Assume that the flow is uniform.If the discharge is ...

For a clayey soil stratum, the time required for degree of consolidation from $25 \%$ to $50 \%$ is $30$ days.The total time (in days) required for $90 \%$ degree of cons...

The ultimate bearing capacity of a $1 \text{ m}$ wide strip footing is $532.80 \text{ kPa}$ , when it is embedded at $1 \text{ m}$ depth in dry cohesionless soil. The soi...

A building is proposed in an area having thick deposit of silty clay. The water table is at the ground surface. The saturated unit weight of soil is $18 ~\mathrm{kN} / \m...

A soil sample has following properties:Natural water content $=30$ $\%$Plasticity index $=40$ $\%$Liquidity index $=50$ $\%$The estimated plastic limit (in $\%$) of the s...

For a given traffic stream, the speed-density relationship is given as:\[v=v_{o} \ln \left(\frac{k_{j}}{k}\right)\]where $v$ is the mean speed (in $\mathrm{km} / \mathrm{...

A vertical curve is formed by a descending gradient of $1$ in $40$ meeting an ascending gradient of $1$ in $50$. Consider the following:Stopping Sight Distance $(\mathrm{...

Interior angles measured at the locations of a closed traverse $\text{ABCDA}$ are given in table below.\[\begin{array}{|c|c|}\hline\text{Location} & \text{Interior angle}...

The analysis of major cations and anions in a water sample collected from a city's water supply is given below. Ions present in minor concentrations are not given.\[\begi...

Anaerobic bacteria are being utilized for the destruction of biodegradable organic content of wastewater measured in terms of Chemical Oxygen Demand (COD). The yield coef...

In an industry, a cyclone collector with $80 \%$ efficiency is installed for air purification, followed by an electrostatic precipitator with $50 \%$ efficiency. The conc...

The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures $\text{P, Q, R,}$ or $\text{S}$ fits th...

At how many points will the curves $y=x^{2}$ and $y=-x^{2}-2 x-1$ intersect in the real $(x, y)$ plane?$0$$1$$2$$3$

'If Anish had scored hundred runs in today's match, he would have been made the captain of his team. He would have then become the youngest captain in his team's history....

Which one of the following figures $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, or S , correctly shows the $45^{\circ}$ clockwise-rotated version of figure $\text{(I)}?$$\text{P...

Match the words in Column $\text{I}$ with their synonyms in Column $\text{II}$.\[\begin{array}{|l|c|l|}\hline\textbf{Column I} & \textbf{Column II} \\\hline(i)\ \text{Lo...

In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...

Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$

Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, ...

$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$

Matrix $P$ is given as\[P=\left[\begin{array}{lll}1 & 0 & 1 \\0 & 1 & 0 \\1 & 0 & 1\end{array}\right]\]The TRUE option isTrace of $P$ is equal to the sum of the Eigen val...

Given:\[\left[\begin{array}{lll}1 & 1 & 1 \\1 & 0 & 2\end{array}\right]\left\{\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}\right\}=\left\{\begin{array}{l}0 \\0\end{ar...

A thin-walled spherical gas balloon of radius $R$ and wall thickness $t(t \ll R)$ is subjected to an internal (gauge) pressure $p$. The maximum tensile and shear stresses...

Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:

Which one of the following is utilized to determine the long-term deformation of concrete under sustained loading?CreepShrinkageModulus of ruptureSplit tensile strength