Recent questions tagged gate2015-ce-1

Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything_________ to the requirement...

A function $f(x)$ is linear and has a value of $29$ at $x=-2$ and $39$ at $x=3.$ Find its value at $x=5.$$59$$45$$43$$35$

The exports and imports (in crores of Rs.) of a country from the year $2000$ to $2007$ are given in the following bar chart. In which year is the combined percentage incr...

Choose the most appropriate equation for the function drawn as a thick line, in the plot below.$x=y – \mid y \mid $$x=-(y – \mid y \mid )$$x=y+ \mid y \mid $$x=-(y+\mid...

The head of a newly formed government desires to appoint five of the six selected members $P, Q, R, S, T, $and $U$ to portfolios of Home, Power, Defense, Telecom, and Fin...

For what value of $p$ the following set of equations will have no solution?$2x+3y=5$$3x+py=10$

The integral $\int_{x_{1}}^{x_{2}}x^{2}\:dx$ with $x_{2}>x_{1}>0$ is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If ...

Consider the following probability mass function (p.m.f) of a random variable $X:$$$p(x,q) = \begin{cases} q & \text{ if } X=0 \\ 1 – q & \text{ if } X=1 \\ 0 & \text{oth...

Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete.As the slump increases...

Consider the following statements for air-entrained concrete:Air-entrainment reduces the water demand for a given level of workabilityUse of air-entrained concrete is re...

Consider the singly reinforced beam shown in the figure below:At cross-section $XX$, which of the following statements is TRUE at the limit state?The variation of stress ...

For the beam shown below, the stiffness coefficient $K_{22}$ can be written as$\dfrac{6EI}{L^2} \\$$\dfrac{12EI}{L^3} \\$$\dfrac{3EI}{L} \\$$\dfrac{EI}{6L^2}$

The development length of a deformed reinforcement bar can be expressed as $(1/k) (\phi \sigma_s / \tau_{bd})$. From the $IS: 456 – 2000$, the value of $k$ can be calcula...

For the beam shown below, the value of the support moment $M$ is _____ $kN-m$.

Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, $\sigma_n$ is _______ MPa.

A fine-grained soil has $60 \%$ (by weight) slit content. The soil behaves as $\textit{semi-solid}$ when water content is between $15 \%$ and $28 \%$. The soil behaves $\...

Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?Seepage velocity is always smaller than discharge velocitySeepa...

Which of the following statements is TRUE for degree of disturbance of collected soil sample?Thinner the sampler wall, lower the degree of disturbance of collected soil s...

In an unconsolidated undrained triaxial test, it is observed that an increase in cell pressure from $150$ kPa to $250$ kPa leads to a pore pressure increase $80$ kPa. It ...

Which of the following statements is NOT correct?Loose sand exhibits contractive behavior upon shearingDense sand when sheared under undrained condition, may lead to gene...

In a two-dimensional steady flow field, in a certain region of the $x-y$ plane, the velocity component in the $x$-direction is given by $v_x=x^2$ and the density varies a...

For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be:from higher to lower elevationfrom higher to lower ...

A circular pipe has a diameter of $1$ m, bed slope of $1$ in $1000$, and Manning’s roughness coefficient equal to $0.01$. It may be treated as an open channel flow when i...

The two columns below show some parameters and their possible values.$\begin{array}{ll} \textbf{Parameter} & \textbf{Value} \\ P – \text{ Gross Command Area} & I – 100 \t...

Total Kjeldahl Nitrogen (TKN) concentration (mg/L as N) in domestic sewage is the sum of the concentrations oforganic and inorganic nitrogen in sewageorganic nitrogen and...

Solid waste generated from an industry contains only two components, X and Y as shown in the table below.$$\begin{array}{ccc} \textbf{Component} & \textbf{Composition} & ...

The penetration value of a bitumen sample tested at $25^{\circ}C$ is $80$. When this sample is heated to $60^{\circ}C$ and tested again, the needle of the penetration tes...

Which of the following statements CANNOT be used to describe free flow speed $(u_f)$ of a traffic stream?$(u_f)$ is the speed when flow is negligible$(u_f)$ is the speed ...

Which of the following statements is FALSE?Plumb line is along the direction of gravityMean Sea Level (MSL) is used as a reference surface for establishing the horizontal...

In a closed loop traverse of $1$ km total length, the closing errors in departure and latitude are $0.3$ m and $0.4$ m, respectively. The relative precision of this trave...

The smallest and largest Eigen values of the following matrix are:$\begin{bmatrix} 3 & -2 & 2 \\ 4 & -4 & 6 \\ 2 & -3 & 5 \end{bmatrix}$$1.5$ and $2.5$$0.5$ and $2.5$$1.0...

The quadratic equation $x^2 – 4x +4 =0$ is to be solved numerically, starting with the initial guess $x_0=3$. The Newton-Raphson method is applied once to get a new estim...

Consider the following differential equation:$$x(y\:dx +x\:dy) \cos \dfrac{y}{x}=y(x\:dy-y\:dx) \sin \dfrac{y}{x}$$Which of the following is the solution of the above equ...

Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from $IS:456-2000$ are also given below (right fi...

For formation of $\textit{collapse mechanism}$ in the following figure, the minimum value of $P_u$ is $cM_p/L$. $M_p$ and $3M_p$ denote the plastic moment capacities of b...