Questions by gatecse

Two reservoirs having different water levels are connected by two long parallel pipelines of same length and same material but having diameters of $600$ mm and $400$ mm. ...

An irrigation canal is to be designed to deliver $10$ cumec to meet the peak demand of $7500$ hectare of cropped area. The estimated canal losses are $50 \%$ of the head ...

​​​​​​The name of a person in Column $1$ is to be matched with the test mentioned in Column $2$.\[\begin{array}{|l|l|}\hline\text{Column 1} & \text{Column 2} \\\hline(I)\...

Corrections are applied to the basic length of the runway strip considering:The elevation $\text{H}$ (in m) of the airport above Mean Sea Level (MSL)Corrected air tempera...

The Whole Circle Bearing (WCB) of line AB is $150^{\circ}$. The length of $\text{AB}$ is $100$ m. The latitude and departure values, respectively, for this line are:$+86....

A rapid sand filter bed of depth $0.8$ m has $40 \%$ porosity during service cycle. It is recommended that during backwash operation, the expanded filter bed should have ...

The settling velocity of inorganic particles in the sedimentation tank of a water treatment plant is governed byDarcy's lawStokes' lawDupuit's lawBernoulli's law

Gradually Varied Flow (GVF) profiles in open channels given in Column $1$ are to be matched with the water surface slopes in Column $2$ in the table below.\[\begin{array}...

Cant $C$ on a Broad Gauge railway track is calculated for an equilibrium speed $V$ (in $\mathrm{km} / \mathrm{h}$), dynamic gauge $G$ (in mm ) and radius of curve $R$ (in...

Which of the following components is/are NOT removed in the secondary treatment of sewage?Suspended settleable organic solidsColloids including dissolved organic matterPa...

Bag $\text{I}$ contains $4$ white and $6$ black balls.Bag $\text{II}$ contains $4$ white and $3$ black balls.One ball is drawn at random from any one of the two bags and ...

A matrix is given as:\[\left[\begin{array}{cc}9 & 15 \\15 & 50\end{array}\right]\]By performing Cholesky decomposition, $\left|l_{22}\right|$ of the lower triangular matr...

It is given that $x$ and $y$ are integers in the following equation:\[(x+y-7)^{2}+(y+3 x-13)^{2}=0\]The value of $\left(x^{3}+y^{3}\right)$ is $\_\_\_\_$ (in integer).

The required centre-to-centre spacing of $10$ mm diameter bars is $150$ mm to resist the design moment in a concrete slab. Instead of $10$ mm diameter bars, if $12$ mm di...

Two steel plates are to be connected together by a $5$ mm fillet weld of length $150$ mm to transfer a design load. If the size of the fillet weld used to connect the sam...

For a liquid, the permeability of a sandy soil having a void ratio of $0.60$ was determined as $0.14 \mathrm{~cm} / \mathrm{s}$. Considering the same liquid and by using ...

To obtain undisturbed clay soil sample, an Area Ratio of $10 \%$ needs to be achieved for a thin walled sampling tube. If the outer diameter of the tube is $50.8$ mm , th...

The travel times of three vehicles on a $2$ km stretch of road are $4,5,$ and $8$ minutes. Assuming the speed of each vehicle to be constant in this stretch, the Space Me...

A $30$ m long tape is standardized at $25^{\circ} \mathrm{C}$. It was used to measure the length of a line which came out to be $200$ m. The temperature during the measur...

The height of the plane of collimation of a levelling instrument is $100.000$ m from a datum. The levelling instrument measures a Back Sight of $1.500$ m on a vertically ...

Let $f(x)$ be a continuous function defined in $[0,2] \rightarrow \mathbb{R}$ and satisfying the equation $\int_{0}^{2} f(x)[x-f(x)] d x=\dfrac{2}{3}.$The value of $f(1)$...

An ordinary differential equation is given below.\[x^{2} \frac{d^{2} y}{d x^{2}}=6 y\]Considering $a$ and $b$ as arbitrary constants, the general solution of the equation...

A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length ( $L$ ), cross-sectional area ( $A$ ), and modu...

The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height.What is the absolute value of the maximum bendin...

For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth ratio is $2$. The Froude number of supercritical stream is$\sqrt{3}$$\sqrt{5}$$\sqrt{6}...

In a laminar flow of a Newtonian fluid through a circular pipe of radius $5 \text{ cm}$, the maximum velocity is found to be $2 \mathrm{~m} / \mathrm{s}$. The velocity (i...

A road is divided into four sections having varying widths as shown in the figure. Section-$2$ (S$2$) represents a capacity constrained condition with respect to the traf...

Locations $P$ and $Q$ are separated by a wide valley. The difference in levels of locations $P$ and $Q$ measured by a levelling instrument stationed near $P$ is $3.0$ m. ...

The average sewage from a city is $90$ million litres per day and the average $5$-day Biochemical Oxygen Demand ($\text{BOD5}$) is $300 ~\mathrm{mg} / \mathrm{l}$. Averag...

Select ALL CORRECT option(s) which can be considered to check whether the flexural stresses in a prestressed concrete beam are within the allowable stresses at the transf...

As per the Rankine's earth pressure theory, which of the following statements is/are FALSE?For the active earth pressure, the inclination of failure plane is $\left(45^{\...

Which of the following statements is/are TRUE in the context of the geometric design of highways?The coefficient of friction used for the design of horizontal curves is l...

Starting with the first approximation as $x=0.5$, the second approximation for the root of the following function by the Newton-Raphson method is $\_\_\_\_$ (rounded off ...

Values of $y$ for different values of $x$ are tabulated below.\[\begin{array}{|c|c|c|c|}\hlinex & -2 & 1 & 2 \\\hliney & 28 & 4 & 16 \\\hline\end{array}\]If a second-degr...

Two identical blocks $\text{A}$ and $\text{B}$ are connected by a rigid rod. The blocks rest against vertical and horizontal planes, as shown in the figure. The coefficie...

A homogenous, linearly elastic rod $\text{AB}$ is connected to a linearly elastic spring $\text{BC}$ in between the fixed supports at $\text{A}$ and $\text{C}$, as shown ...

The cross-section of a steel $\text{T}$-beam is shown in the figure where all dimensions are in mm.The plastic section modulus of the given cross-section is $\_\_\_\_$ $\...

A fully-penetrating well of $20$ cm diameter is provided in an unconfined aquifer. The height of the ground water table is $30$ m from the bottom of the aquifer. After a ...

A wide unlined channel carries sediment-free water. The depth of water is $1$ m. The specific weight of water is $10 \mathrm{~kN} / \mathrm{m}^{3}$. To prevent scouring, ...

A bridge with an expected life of $50$ years is designed for a flood of $10000 \mathrm{~m}^{3} / \mathrm{s}$ corresponding to the return period of $100$ years. The risk a...