Recent questions tagged gate2015-ce-2

1 1 vote
3 answers 3 answers
Choose the most appropriate word from the options given below to complete the following sentence.The official answered __________ that the complaints of the citizen would...
6 6 votes
3 answers 3 answers
Choose the statement where underlined word is used correctly.The minister insured the victims that everything would be all right.He ensured that the company will not have...
4 4 votes
2 answers 2 answers
which word is not a synonym for the word $\textit{vernacular}$?regionalindigenous indigentcolloquial
22 22 votes
2 answers 2 answers
Mr. Vivek walks $6$ meters North-east, then turns and walks $6$ meters South-east, both at $60$ degrees to east. He further moves $2$ meters South and $4$ meters West. Wh...
6 6 votes
1 answers 1 answer
Four cards are randomly selected from a pack of $52$ cards. If the first two cards are kings, what is the probability that the third card is a king?$\dfrac{4}{52} \\$$\df...
4 4 votes
2 answers 2 answers
The word similar in meaning to ‘dreary’ ischeerfuldreamyharddismal
6 6 votes
3 answers 3 answers
The given question is followed by two statements; select the most appropriate option that solves the question.Capacity of a solution tank A is $70\%$ of the capacity of t...
9 9 votes
2 answers 2 answers
How many four digit numbers can be formed with the $10$ digits $0,1,2,…,9$ if no number can start with $0$ and if repetitions are not allowed?
10 10 votes
4 answers 4 answers
Read the following table giving sales data of five types of batteries for years $2006$ to $2012$:$$\begin{array}{|l|l|l|l|l|l|} \hline \text{Year} & \text{Type I} & \tex...
7 7 votes
1 answers 1 answer
There are $16$ teachers who can teach Thermodynamics (TD), $11$ who can teach Electrical Sciences (ES), and $5$ who can teach both TD and Engineering Mechanics (EM). The...
0 0 votes
0 0 answers
While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are:$f’(x_0) 0$ and $f’’(x_0)=0$$f’(x_0) < 0$ and $f’’(x_0)=0...
0 0 votes
0 0 answers
In newton-Raphson iterative method, the initial guess value $(x_{\text{ini}})$ is considered as zero while finding the roots of the equation: $f(x) = -2+6x-4x^2+0.5x^3$. ...
0 0 votes
0 0 answers
Given, $i=\sqrt{-1}$, the value of the definite integral, $I= \int_0^{\pi/2} \dfrac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is:$1$$-1$$i$$-i$
0 0 votes
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$\underset{x \to \infty}{\lim} \bigg( 1+ \dfrac{1}{x} \bigg)^{2x} $ is equal to$e^{-2}$$e$$1$$e^2$
0 0 votes
0 0 answers
Let $A=[a_{ij}], \: 1 \leq i, j \leq n$ with $n \geq 3$ and $a_{ij}=i \cdot j$. The rank of $A$ is:$0$$1$$n-1$$n$
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A horizontal beam $ABC$ is loaded as shown in the figure below. The distance of the point of contraflexure from end $A$ (in m) is _________
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For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:$-50$ MPa, on a plane $45^{\circ}$ clockwise w.r.t. $x$-ax...
0 0 votes
0 0 answers
A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness $k_x, k_y$ and $k_{\theta}$ respectivel...
0 0 votes
0 0 answers
A column of size $450 \: mm \times 600\: mm $ has unsupported length of $3.0$ m and is braced against side sway in both directions. According to $IS \: 456:2000$, the min...
0 0 votes
0 0 answers
Prying forces areshearing forces on the bolts because of the jointstensile forces due to the flexibility of connected partsbending forces on the bolts because of the join...
0 0 votes
0 0 answers
A steel member $’ M’$ has reversal of stress due to live loads, whereas another member $’N’$ has reversal of stress due to wind load. As per $IS \: 800: 2007$, the maximu...
0 0 votes
0 0 answers
If the water content of a fully saturated soil mass is $100\%$, the void ratio of the sample is:less than specific gravity of soilequal to specific gravity of soilgreater...
0 0 votes
0 0 answers
In friction circle method of slope stability analysis, if $r$ defines the radius of the slip circle, the radius of friction circle is:$r \sin \phi$$r$$r \cos \phi$$r \tan...
0 0 votes
0 0 answers
Net ultimate bearing capacity of a footing embedded in a clay stratumincreases with depth of footing onlyincreases with size of footing onlyincreases with depth and size ...
0 0 votes
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Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is:$2 \: c$$2 \: c \: k...
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The relationship between the length scale ratio $(L_r)$ and the velocity scale ratio $(V_r)$ in the hydraulic models, in which Froude dynamic similarity is maintained is:...
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A nozzle is so shaped that the average flow velocity changes linearly from $1.5$ m/s at the beginning to $15$ m/s at its end in a distance of $0.375$m. The magnitude of t...
0 0 votes
0 0 answers
A hydraulic jump takes place in a frictionless rectangular channel. The pre-jump depth is $y_p$. The alternate and sequent depths corresponding to $y_p$ are $y_a$ and $y_...
0 0 votes
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The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is:$S_y+S_\tau = \eta$$S_y+ \eta = S_\tau$$S...
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A groundwater sample was found to contain $500$ mg/L total dissolved solids (TDS). TDS (in $\%$) present in the sample is ________.
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$SO_2$ and $CO$ adversely affectoxygen carrying capacity of blood and functioning of lungs respectivelyfunctioning of the respiratory system and brain respectivelyfunctio...
0 0 votes
0 0 answers
A superspeedway in New Delhi has among the highest super-elevation rates of any track on the Indian Grand Prix circuit. The track requires drivers to negotiate turns with...
0 0 votes
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The following statements are made related to the lengths of turning lanes at signalised intersections:$1.5$ times the average number of vehicles (by vehicle type) that wo...
0 0 votes
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In a leveling work, sum of the Back Sight (B.S.) and Force Sight (F.S.) have been found to be $3.085$ m and $5.645$ m respectively. If the Reduced Level (R.L.) of the sta...
0 0 votes
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The combined correction due to curvature and refraction (in m) for a distance of $1$ km on the surface of Earth is:$0.0673$$0.673$$7.63$$0.763$
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Consider the following second order linear differential equation$$\dfrac{d^2y}{dx^2} = -12x^2 +24 x – 20$$The boundary conditions are: at $x=0, \: y=5$ and at $x=2, \: y=...
0 0 votes
0 0 answers
The two Eigen values of the matrix $\begin{bmatrix} 2 & 1 \\ 1 & p \end{bmatrix}$ have a ratio of $3:1$ for $p=2$. What is another value of $p$ for which the Eigen values...
0 0 votes
0 0 answers
For step-size, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______.$$\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 x^5) d...
0 0 votes
0 0 answers
In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge...
0 0 votes
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A simply supported reinforced concrete beam of length $10$ m sags while undergoing shrinkage. Assuming a uniform curvature of $0.004 m^{-1}$ along the span, the maximum d...