Recent questions tagged gate2013-ce

A firm is selling its product at Rs. $60$ per unit. The total cost of production is Rs. $100$ and firm is earning total profit of Rs. $500$. Later, the total cost increas...

Abhishek is elder to Savar.Savar is younger to Anshul.Which of the given conclusions is logically valid and is inferred from the above statements?Abhishek is elder to Ans...

Following table provides figures(in rupees) on annual expenditure of a firm for two years -$2010$ and $2011$.$$\begin{array}{|l|r|r|} \hline \textbf{Category} & \textbf{2...

Which of the following options is the closest in meaning to the word given below: $\textbf{Primeval}$ModernHistoricPrimitiveAntique

$\underset{I}{\underline{\text{The professor }}} \underset{II}{\underline{\text{ ordered to }}} \underset{III}{\underline{\text{ the student to go }}} \underset{IV}{...

If $\mid 4X-7 \mid =5$ then the values of $2\mid X\mid -\mid -X\mid$ is:$2, 1/3$$1/2, 3$$3/2,9$$2/3,9$

$X$ and $Y$ are two positive real numbers such that $2X+Y \leq 6$ and $X + 2Y \leq 8$. For which of the following values of $(X,Y)$ the function $f(X,Y)=3X + 6Y$ will gi...

A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground wate...

A multistory building with a basement is to be constructed. The top $4$ m consists of loose silt, below which dense sand layer is present up to a great depth. Ground wate...

A number is as much greater than $75$ as it is smaller than $117$. The number is:$91$$93$$89$$96$

For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a ve...

Following bearings are observed while traversing with a compass$\begin{array}{rrr} \text{Line} & \text{Fore Bearing} & \text{back Bearing} \\ AB & 126^{\circ} 45’ & 308^{...

The percent voids in mineral aggregate (VMA) and percent air voids $(V_v)$ in a compacted cylindrical bituminous mix specimen are $15$ and $4.5$ respectively. The percent...

For a portion of national highway where a descending gradient of $1$ in $25$ meets with an ascending gradient of $1$ in $20$, a valley curve needs to be designed for a ve...

Elevation and temperature data for a place are tabulated below:$$\begin{array}{|c|c|} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \...

A theodolite is set up at station A and a $3$ m long staff is held vertically at station B. The depression angle reading at $2.5$ m marking on the staff is $6^{\circ}10’$...

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If load $P=80$ kN, find the reaction $R$ (in kN) correct to...

A propped cantilever made of a prismatic steel beam is subjected to a concentrated load P at mid span as shown.If the magnitude of load $P$ is increased till collapse and...

A student began experiment for determination of $5$-day, $20^{\circ}C$ BOD on Monday. Since the $5$th day fell on Saturday, the final DO readings were taken on next Monda...

A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \dfrac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particle...

The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is$20.1$$15.4$$10.5$$17.2$

Two different soil types (Soil $1$ an Soil $2$) are used as backfill behind a retaining wall as shown in the figure, where $\gamma_t$ is total unit weight, and $c’$ and $...

The soil profile above the rock surface for a $25^{\circ}$ infinite slope is shown in the figure, where $s_u$ is the undrained shear strength an $\gamma_t$ is total unit ...

The transplantation of rice requires $10$ days and total depth of water required during transplantation is $48$ cm. During transplantation, there is an effective rainfall...

A rectangular concrete beam $250$ mm wide and $600$ mm deep is pre-stressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bot...

Beam $PQRS$ has internal hinges in spans $PQ$ and $RS$ as shown. The beam may be subjected to a moving distributed vertical load of maximum intensity $4 \:kN/m$ of any le...

A uniform beam $(EI = \textit{constant})PQ$ in the form of a quarter-circle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as show...

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to give...

Laplace equation for water flow in soils is given below. $$\dfrac{\partial ^2H}{\partial x^2} + \dfrac{\partial ^2H}{\partial y^2} + \dfrac{\partial ^2H}{\partial z^2} = ...

Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______$f(x) = \begin{cases} \lambda (x-1)(2-x) & \text{for } 1 \leq x \...

A uniform beam weighing $1800 \: N$ is supported at E and F by cable ABCD. Determine the tension (in $N$) in segment AB of this cable (correct to $1$- decimal place). Ass...

The soil profile below a lake with water level at elevation $=0$ m and lake bottom at elevation $=-10$ m is shown in the figure, where $k$ is the permeability coefficient...

The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ isA. $0$B. $\dfrac{1}{15}$C. $1$D. $\dfrac{8}{3}$

For two major roads with divided carriageway crossing at right angle, a full clover leaf interchange with four indirect ramps is provided. Following statements are made o...

Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\dfrac{1}{3}$ Rule. Take the step length as $1$ _...