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Recent questions tagged gate2015ce2
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GATE20152GA1
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 be looked into. respectably respectfully reputably respectively
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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gate2015ce2
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1
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2
GATE20152GA2
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 to bear any loss. The actor got himself ensured against any accident. The teacher insured students of good results.
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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11.8k
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gate2015ce2
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1
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3
GATE20152GA3
which word is not a synonym for the word $\textit{vernacular}$? regional indigenous indigent colloquial
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Mar 26, 2018
in
Verbal Ability
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Milicevic3306
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11.8k
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gate2015ce2
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4
GATE20152GA4
Mr. Vivek walks $6$ meters Northeast, then turns and walks $6$ meters Southeast, both at $60$ degrees to east. He further moves $2$ meters South and $4$ meters West. What is the straight distance in meters between the point he started from and the point he finally reached? $2\sqrt{2}$ $2$ $\sqrt{2}$ $\frac{1}{\sqrt{2}}$
asked
Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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11.8k
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gate2015ce2
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5
GATE20152GA5
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? $\frac{4}{52}$ $\frac{2}{50}$ $\left ( \frac{1}{52}\right )\times\left ( \frac{1}{52}\right )$ $\left ( \frac{1}{52}\right )\times\left ( \frac{1}{51}\right )\times\left ( \frac{1}{50}\right )$
asked
Mar 26, 2018
in
Numerical Ability
by
Milicevic3306
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11.8k
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gate2015ce2
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6
GATE20152GA6
The word similar in meaning to ‘dreary’ is cheerful dreamy hard dismal
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Mar 26, 2018
in
Verbal Ability
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Milicevic3306
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11.8k
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gate2015ce2
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7
GATE20152GA7
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 tank B. How many gallons of solution are in tank A and tank B? Statements: ... . Statement II alone is sufficient. Either statement I or II alone is sufficient. Both the statements I and II together are sufficient.
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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gate2015ce2
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8
GATE20152GA8
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?
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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11.8k
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gate2015ce2
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9
GATE20152GA9
Read the following table giving sales data of five types of batteries for years $2006$ to $2012$ ... $2006$ and $2012$? Type V Type III Type II Type I
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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gate2015ce2
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10
GATE20152GA10
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). There are a total of $40$ teachers, $6$ cannot teach any of the three subjects, i.e. EM, ES or TD.$6$ can teach ... , ES, and TD. $4$ can teach ES and TD. How many can teach both ES and EM but not TD? $1$ $2$ $3$ $4$
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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11.8k
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gate2015ce2
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11
GATE201521
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 $f’’(x_0)=0$ $f’(x_0) = 0$ and $f’’(x_0)<0$ $f’(x_0) = 0$ and $f’’(x_0)>0$
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Mar 26, 2018
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gate2015ce2
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12
GATE201522
In newtonRaphson iterative method, the initial guess value $(x_{\text{ini}})$ is considered as zero while finding the roots of the equation: $f(x) = 2+6x4x^2+0.5x^3$. The correction, $\Delta x$, to be added to $x_{\text{ini}}$ in the first iteration is _________
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Mar 26, 2018
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13
GATE201523
Given, $i=\sqrt{1}$, the value of the definite integral, $I= \int_0^{\pi/2} \frac{\cos x+ i \sin x}{\cos x – i \sin x} dx$ is: $1$ $1$ $i$ $i$
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Mar 26, 2018
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gate2015ce2
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14
GATE201524
$\underset{x \to \infty}{\lim} \bigg( 1+ \frac{1}{x} \bigg)^{2x} $ is equal to $e^{2}$ $e$ $1$ $e^2$
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Mar 26, 2018
in
Calculus
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Milicevic3306
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11.8k
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gate2015ce2
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15
GATE201525
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: $0$ $1$ $n1$ $n$
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Mar 26, 2018
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gate2015ce2
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16
GATE201526
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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Mar 26, 2018
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gate2015ce2
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17
GATE201527
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. $x$axis $50$ MPa, on a plane $45^{\circ}$ anticlockwise w.r.t. $x$axis $50$ MPa at all orientations Zero, at all orientations
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Mar 26, 2018
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gate2015ce2
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18
GATE201528
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 $k_{\theta}$ respectively. The limiting values of $k_x, k_y$ and $k_{\theta}$ are: $\infty, 0, \infty$ $\infty, \infty, \infty$ $0, \infty, \infty$ $\infty, \infty, 0$
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Mar 26, 2018
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gate2015ce2
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19
GATE201529
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 minimum eccentricities (in mm) with respect to major and minor principal axes are: $20.0$ and $20.0$ $26.0$ and $21.0$ $26.0$ and $20.0$ $21.0$ and $15.0$
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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20
GATE2015210
Prying forces are shearing forces on the bolts because of the joints tensile forces due to the flexibility of connected parts bending forces on the bolts because of the joints forces due the friction between connected parts
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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21
GATE2015211
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 maximum slenderness ratio permitted is: less for member $’ M’$ than that of member $’ N’$ more for member $’ M’$ than that of member $’N’$ same for both members not specified in the Code
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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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22
GATE2015212
If the water content of a fully saturated soil mass is $100\%$, the void ratio of the sample is: less than specific gravity of soil equal to specific gravity of soil greater than specific gravity of soil independent of specific gravity of soil
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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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23
GATE2015213
In friction circle method of slope stability analysis, if $r$ defines the radius of the slip circle, the radius of friction circle is: $r \sin \phi$ $r$ $r \cos \phi$ $r \tan \phi$
asked
Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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24
GATE2015214
Net ultimate bearing capacity of a footing embedded in a clay stratum increases with depth of footing only increases with size of footing only increases with depth and size of footing is independent of depth and size of footing
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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25
GATE2015215
Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is: $2 \: c$ $2 \: c \: k_a$ $2 c \sqrt{k_a}$ $2 c/ \sqrt{k_a}$
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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26
GATE2015216
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: $V_r=L_r$ $L_r=\sqrt{V_r}$ $V_r= L_r^{1.5}$ $V_r=\sqrt{L_r}$
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Mar 26, 2018
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gate2015ce2
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27
GATE2015217
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 the convective acceleration (in $m/s^2$ ) at the end of the nozzle is ________.
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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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28
GATE2015218
A hydraulic jump takes place in a frictionless rectangular channel. The prejump depth is $y_p$. The alternate and sequent depths corresponding to $y_p$ are $y_a$ and $y_s$ respectively. The correct relationship among $y_p, \: y_a$ and $y_s$ is: $y_a < y_s < y_p$ $y_p < y_s < y_a$ $y_p < y_s = y_a$ $y_p = y_s = y_a$
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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29
GATE2015219
The relationship between porosity $(\eta)$, specific yield $(S_y)$ and specific retention $(S_\tau)$ of an unconfined aquifer is: $S_y+S_\tau = \eta$ $S_y+ \eta = S_\tau$ $S_\tau+ \eta = S_y$ $S_y+ S_\tau + \eta =1$
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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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30
GATE2015220
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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Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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31
GATE2015221
$SO_2$ and $CO$ adversely affect oxygen carrying capacity of blood and functioning of lungs respectively functioning of the respiratory system and brain respectively functioning of the respiratory system and oxygen carrying capacity of blood respectively functioning of air passages and chest respectively
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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32
GATE2015222
A superspeedway in New Delhi has among the highest superelevation rates of any track on the Indian Grand Prix circuit. The track requires drivers to negotiate turns with a radius of $335$ m and $33^{\circ}$ banking. Given this information, the coefficient of side friction required in order to allow a vehicle to travel at $320$ km/h along the curve is $1.761$ $0.176$ $0.253$ $2.530$
asked
Mar 26, 2018
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Milicevic3306
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11.8k
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gate2015ce2
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33
GATE2015223
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 would store in turning lane per cycle during the peak hour. $2$ times the average number of vehicles (by vehicle type) ... lanes is: Maximum of (ii) and (iii) Maximum of (i) and (iii) Average of (i) and (iii) Only (iv)
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Mar 26, 2018
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gate2015ce2
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34
GATE2015224
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 starting station is $100.000$ m, the R.L. (in m) of the last station is ________.
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Mar 26, 2018
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gate2015ce2
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35
GATE2015225
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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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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36
GATE2015227
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 $x=2, \: y=21$. The value of $y$ at $x=1$ is _________.
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Mar 26, 2018
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gate2015ce2
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37
GATE2015228
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 have the same ratio of $3:1$? $2$ $1$ $7/3$ $14/3$
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Mar 26, 2018
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gate2015ce2
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38
GATE2015229
For stepsize, $\Delta x =0.4$, the value of following integral using Simpson’s $1/3$ rule is _______. $\int_0^{0.8} (0.2 + 25 x – 200 x^2 + 675 x^3 – 900 x^4 +400 x^5) dx$
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Mar 26, 2018
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gate2015ce2
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39
GATE2015230
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. The rotation of the hinge is restrained by a rotational spring of stiffness, $k$. The system initially assumes a straight ... , $P$ applied at $C$ is: $\frac{PL}{4k}$ $\frac{PL}{2k}$ $\frac{P}{4k}$ $\frac{Pk}{4L}$
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Mar 26, 2018
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Milicevic3306
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gate2015ce2
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40
GATE2015231
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 deflection (in m) of the beam at midspan is __________.
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Mar 26, 2018
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gate2015ce2
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