Recent questions tagged gate2012-ce

Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass,...

An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y.$ $X$ supplies $60\%$ and $Y$ supplies $40\%$ of the shock absorbers. All shock absorb...

Which of the following assertions are $\textbf{CORRECT}$?$P:$ Adding $7$ to each entry in a list adds $7$ to mean of the list$Q:$ Adding $7$ to each entry in a list adds ...

Given the sentence of terms,$AD$ $CG$ $FK$ $JP,$ the next term is$OV$$OW$$PV$$PW$

The drainage are of a watershed is $50 \: km^2$. The $\phi$ index is $0.5 \: cm/hour$ and the base flow at the outlet is $10 \: m^3/s$. One hour unit hydrograph (unit dep...

The drainage are of a watershed is $50 \: km^2$. The $\phi$ index is $0.5$ cm/hour and the base flow at the outlet is $10 \: m^3/s$. One hour unit hydrograph (unit depth...

The cost function for a product in a firm is given by $5q^{2},$where $q$ is the amount of production. The firm can sell the product at a market price of Rs.$50$ per unit...

An activated sludge system (sketched below) is operating at equilibrium with the following information. Wastewater related data: flow rate $= 500 \: m^3/hour$, influent B...

An activated sludge system (sketched below) is operating at equilibrium with the following information. Wastewater related data: flow rate $=500 \: m^3/hour$, influent BO...

The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The ...

The cross-section at mid-span of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The ...

The horizontal distance between two stations P and Q is $100 \: m$. The vertical angles from P and Q to the top of a vertical tower at $T$ are $3^{\circ}$ and $5^{\circ}$...

The flow net around a sheet pile wall is shown in the sketch. The properties of the soil are: permeability coefficient $0.09 \: m/day$ (isotropic), specific gravity $=2.7...

The flow net around a sheet pile wall is shown in the sketch. The properties of the soil are: permeability coefficient $0.09 \: m/day$ (isotropic), specific gravity $=2.7...

The following data are related to a horizontal curved portion of a two-lane highway: length of curve $200$ m, radius of curve $=300$ m and with of pavement $=7.5$ m. In o...

A pavement designer has arrived at a design traffic of $100$ million standard axles for a newly developing national highway as per $IRC:37$ guidelines using the following...

A water sample has a pH of $9.25$. The concentration of hydroxyl ions in the water sample is$10^{-9.25}$ moles/L$10^{-4.75}$ mmoles/L$0.302$ mg/L$3.020$ mg/L

A town is required to treat $4.2 \: m^3/min$ of raw water for daily domestic supply. Flocculating particles are to be produced by chemical coagulation. A column analysis ...

Group I contains parameters and Group-II lists methods/instruments.$\begin{array}{ll} \textbf{Group I} & \textbf{Group II} \\ P. \text{ Streamflow velocity} & 1. \text{...

Wheat crop requires $55$ cm of water during $120$ days of base period. The total rainfall during this period is $100$ mm. Assume the irrigation efficiency to be $60\%$. T...

A two-lane urban road with one-way traffic has a maximum capacity of $1800$ vehicles/hour. Under the jam condition, the average length occupied by the vehicles is $5.0 \:...

A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the cross-section. The applied...

Two soil specimens with identical geometric dimensions were subjected to failing head permeability tests in the laboratory under identical conditions. The fall of water h...

A symmetric frame $PQR$ consists of two inclined members $PQ$ and $QR$, connected at $‘Q’$ with a rigid joint, and hinged at $‘P’$ and $‘R’$. The horizontal length $PR$ i...

Steady state seepage is taking place through a soil element at $Q$, $2$ m below the ground surface immediately downstream of the toe of an earthen dam as shown in the ske...

Two plates are connected by filler welds of size $10$ mm and subjected to tension, as shown in the sketch. The thickness of each plate is $12$ mm. The yield stress and th...

A layer of normally consolidated, saturated silty clay of $1$ m thickness is subjected to one dimensional consolidation under a pressure increment of $20$ kPa. The proper...

The top width and the top depth of flow in a triangular channel were measured as $4$ m and $1$ m, respectively. The measured velocities on the centre line at the water su...

The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $P$ and a moment $M$ at mid-height. The reaction(s) at R is/are...

A simply supported beam is subjected ti a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the fl...

In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is$\dfrac{1}{32} \\$$\d...

For the parallelogram OPQR shown in the sketch, $\overrightarrow{OP}=a \hat{i}+b \hat{j}$ and $\overrightarrow{OR}=c \hat{i} +d \hat{j}$. The area of the parallelogram is...

The solution of the ordinary differential equation $\dfrac{dy}{dx}+2y=0$ for the boundary condition, $y=5$ at $x=1$ is$y=e^{-2x}$$y=2e^{-2x}$$y=10.95 e^{-2x}$$y=36.95 e^{...

The error in $\dfrac{d}{dx} f(x) \mid_{x=x_0}$ for a continuous function estimated with $h=0.03$ using the central difference formula $\dfrac{d}{dx} f(x) \mid_{x=x_0} \ap...