Recent questions tagged gate2016-ce-1

Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.I will not leave the place until the minister does not meet me.I ...

Archimedes said, “Give me a lever long enough and a fulcrum on which to place it, and I will move the world”.The sentence above is an example of a _______ statement.figur...

If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?zentagatagafertagazenrelffer

A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the b...

A shaving set company sells $4$ different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. $48$, Smooth at Rs. $63$, Soft at Rs. $78$ Executiv...

Consider the following statements relating to the level of poker play of four players $P, Q, R$ and $S$.$P$ always beats $Q$$R$ always beats $S$$S$ loses to $P$ only some...

If $f(x)=2x^7 +3x-5$, which of the following is a factor of $f(x)$?$(x^3+8)$$(x-1)$$(2x-5)$$(x+1)$

In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of $80$ units, it takes $100$ cycles for failure. When the load ...

Newton-Raphson method is to be used to find root of equation $3x-e^x+ \sin x=0$.If the initial trial value for the root is taken as $0.333$, the next approximation for th...

The type of partial differential equation $\dfrac{\partial ^2 P}{\partial x^2} + \dfrac{\partial ^2 P}{\partial y^2}+3 \dfrac{\partial ^2 P}{\partial x \partial y}+ 2 \df...

If the entries in each column of a square matrix $M$ add up to $1$, then an eigenvalue of $M$ is$4$$3$$2$$1$

Type II error in hypothesis testing isacceptance of the null hypothesis when it is false and should be rejectedrejection of the null hypothesis when it is true and should...

The solution of the partial differential equation $\dfrac{\partial u}{\partial t} = \alpha \dfrac{\partial ^2 u}{\partial x^2}$ is of the form$C \: \cos (kt) \lfloor C_1 ...

Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint $\textbf{B}$ be $H_B$ and $V_B$, respectively and $V_C...

In shear design of an RC beam, other than the allowable shear strength of concrete $( \tau _c)$, there is also an additional check suggested in IS $456-2000$ with respect...

The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $500 \: cm...

Bull’s trench kiln is used in the manufacturing oflimecementbricksnone of these

The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is$C_3A$$C_3S$$C_2S$$C_4AF$

In the consolidated undrained triaxial test on a saturated soil sample, the pore water pressure is zeroduring shearing stage onlyat the end of consolidation stage onlybot...

A fine grained soil is found to be plastic in the water content range of $26 – 48 \%$. As per Indian Standard Classification System, the soil is classified asCLCHCL-MLCI

A vertical cut is to be made in a soil mass having cohesion $c$, angle of internal friction $\phi$, and unit weight $\gamma$. Considering $K_a$ and $K_p$ as the cofficien...

The direct runoff hydrograph in response to $5$ cm rainfall excess in a catchment is shown in the figure. The area of the catchment (expressed in hectares) is ________

The type of flood routing (Group I) and the equation(s) used for the purpose (Group II) are given below.$$\begin{array}{ll} \underline{\text{Group I}} & \underline{\text{...

The pre-jump Froude Number for a particular flow in a horizontal rectangular channel is $10$. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ___...

Pre-cursors to photochemical oxidants are$NO_X, \: VOC$s and sunlight$SO_2, \: CO_2$ and sunlight$H_2S, \: CO$ and sunlight$SO_2, \: NH_3$ and sunlight

Crown corrosion in a reinforced concrete sewer is caused by:$H_2S$$CO_2$$CH_4$$NH_3$

It was decided to construct a fabric filter, using bags of $0.45$ m diameter and $7.5$ m long, for removing industrial stack gas containing particulates. The expected rat...

Match the items in Group – I with those in Group – II and choose the right combination.$$\begin{array}{llll} {} & \underline{\text{Group – I}} & {} & \underline{\text{G...

During a forensic investigation of pavement failure, an engineer reconstructed the graphs P, Q, R, and S, using partial and damaged old reports.Theoretically plausible co...

In a one-lane one-way homogeneous traffic stream, the observed average headway is $3.0$ s. The flow (expressed in vehicles/hr) in this traffic stream is ________

The minimum number of satellites needed for a GPS to determine its position precisely is$2$$3$$4$$24$

The system that uses the Sun as a source of electromagnetic energy and records the naturally radiated and reflected energy from the object is calledGeographical Informati...

The staff reading taken on a workshop floor using a level is $0.645$ m. The inverted staff reading taken to the bottom of a beam is $2.960$ m. The reduced level of the fl...

Probability density function of a random variable $X$ is given below$$f(x) = \begin{cases} 0.25 & \text{ if } 1 \leq x \leq 5 \\ 0 & \text{ otherwise} \end{cases}$$$P(X \...

The area of the region bounded by the parabola $y=x^2+1$ and the straight line $x+y=3$ is$\dfrac{59}{6} \\$$\dfrac{9}{2} \\$$\dfrac{10}{3} \\$$\dfrac{7}{6}$

The magnitudes of vectors $\textbf{P, Q}$ and $\textbf{R}$ are $100$ kN, $250$ kN and $150$ kN, respectively as shown in the figure.The respective values of the magnitude...

The respective expressions for complementary function and particular integral part of the solution of the differential equation $\dfrac{d^4y}{dx^4}+3 \dfrac{d^2y}{dx^2} =...

A $3$ m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of $w=20$kN/m in the central $1$ m as shown in the figure.If the ...