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GATE201365
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 Anshul Anshul is elder to Abhishek Abhishek and Anshul are of the same age No conclusion follows
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Mar 26, 2018
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Numerical Ability
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gate2013ce
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2
GATE201364
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 increased by $30\%.$ By what percentage the price should be increased to maintain the same profit level. $5$ $10$ $15$ $30$
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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gate2013ce
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GATE201363
Following table provides figures(in rupees) on annual expenditure of a firm for two years $2010$ and $2011$ ... Raw material and Salary & wages. Salary & wages and Advertising. Power & fuel and Advertising. Raw material and research & Development.
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Mar 26, 2018
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Numerical Ability
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gate2013ce
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4
GATE201362
If $\mid 4X7 \mid =5$ then the values of $2\mid X\mid \mid X\mid$ is: $2, 1/3$ $1/2, 3$ $3/2,9$ $2/3,9$
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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gate2013ce
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5
GATE201361
$X$ 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 give maximum value ? $\left(\dfrac{4}{3} , \dfrac{10}{3}\right)$ $\left(\dfrac{8}{3} , \dfrac{20}{3}\right)$ $\left(\dfrac{8}{3} , \dfrac{10}{3}\right)$ $\left(\dfrac{4}{3} , \dfrac{20}{3}\right)$
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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gate2013ce
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1
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6
GATE201360
Select the pair that best expresses a relationship similar to that expressed in the pair: $\text{Medicine: Health}$ Science: Experiment Wealth: Peace Education: Knowledge Money: Happiness
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Mar 26, 2018
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Verbal Ability
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7
GATE201359
Friendship, no matter how _________it is, has its limitations. cordial intimate secret pleasant
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Mar 26, 2018
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Verbal Ability
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gate2013ce
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8
GATE201358
Which of the following options is the closest in meaning to the word given below: $\textbf{Primeval}$ Modern Historic Primitive Antique
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Mar 26, 2018
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Verbal Ability
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9
GATE201357
$\underset{I}{\underline{\text{The professor }}} \underset{II}{\underline{\text{ ordered to }}} \underset{III}{\underline{\text{ the student to go }}} \underset{IV}{\underline{\text{ out of the class}}}$ Which of the above underlined parts of the sentence is grammatically incorrect? I II III IV
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Mar 26, 2018
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Verbal Ability
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gate2013ce
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10
GATE201356
A number is as much greater than $75$ as it is smaller than $117$. The number is: $91$ $93$ $89$ $96$
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Mar 26, 2018
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Numerical Ability
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gate2013ce
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GATE201355
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assume that the $\phi$ – index is the same for the both the storms. The intensity of storm II (in cm/h) is $2.00$ $1.75$ $1.50$ $2.25$
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Mar 26, 2018
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12
GATE201354
At a station, Storm I of $5$ hour duration with intensity $2$ cm/h resulted in a runoff of $4$ cm and Storm II of $8$ hour duration resulted in a runoff of $8.4$ cm. Assume that the $\phi$ – index is the same for the both the storms. The $\phi$ – index (in cm/h) is $1.2$ $1.0$ $1.6$ $1.4$
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Mar 26, 2018
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13
GATE201353
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 water table is at the surface. The foundation consists of the basement slab of $6$ m width ... depth and rigidity corrections, the immediate settlement of the dense sand layer will be $58$ mm $111$ mm $126$ mm $179$ mm
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Mar 26, 2018
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gate2013ce
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14
GATE201352
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 water table is at the surface. The foundation consists of the basement slab of $6$ m width which will rest on the ... of safety $=3$, the net safe bearing capacity (in $kN/m^2$) of the foundation is $610$ $320$ $983$ $693$
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Mar 26, 2018
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gate2013ce
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15
GATE201351
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 vehicle travelling at $90$ kmph based on the following conditions. headlight sight distance equal to ... m; and beam angle $1^{\circ}$. What is the length of valley curve (in m) based on the comfort condition? __________
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Mar 26, 2018
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gate2013ce
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16
GATE201350
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 vehicle travelling at $90$ kmph based on the following conditions. headlight sight distance ... angle $1^{\circ}$. What is the length of valley curve (in m) based on the head light sight distance condition? ___________
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Mar 26, 2018
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gate2013ce
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17
GATE201349
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 the plastic moment carrying capacity of steel beam section is $90$ kNm, determine reaction $R$ (in kN) (correct to $1$decimal place) using plastic analysis _______
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Mar 26, 2018
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gate2013ce
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18
GATE201348
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 $1$decimal place) using elastic analysis ________
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gate2013ce
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19
GATE201347
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 $6^{\circ}10’$. The horizontal distance between A and B is $2200$ m. Height of instrument at station A is $1.1$ m and R.L. of A is $880.88$ m. Apply the curvature and refraction correction, and determine the RL of B (in m) _______
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gate2013ce
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20
GATE201346
Following bearings are observed while traversing with a compass ... the corrected fore bearing of line BC will be $48^{\circ} 15'$ $50^{\circ} 15'$ $49^{\circ} 45'$ $48^{\circ} 45'$
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Mar 26, 2018
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21
GATE201345
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 voids filled with bitumen (VFB) for this specimen is: $24$ $30$ $54$ $70$
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gate2013ce
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22
GATE201344
Elevation and temperature data for a place are tabulated below: $\begin{array}{cc} \hline \text{Elevation, m} & \text{Temperature, } ^{\circ}C \\ \hline 4 & 21.25 \\ \hline 444 & 15.70 \\ \hline \end{array}$ Based on the above data, lapse rate can be referred as Superadiabatic Neutral Subadiabatic Inversion
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Mar 26, 2018
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gate2013ce
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23
GATE201343
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 Monday. On calculation, BOD (i.e. $7$ day, $20^{\circ}C$ was found to be $150$ mg/L. What ... mg/L)? Assume value of BOD rate constant $(k)$ at standard temperature of $20^{\circ}C$ as $0.23/day$ (base $e$). ___________
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Mar 26, 2018
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gate2013ce
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24
GATE201342
A settling tank in a water treatment plant is designed for a surface overflow rate of $30 \frac{m^3}{\text{day} \cdot m^2}$. Assume specific gravity of sediment particles $=2.65$, density of water $(\rho) =1000 \: kg/m^3$ ... $0.01$ mm $0.02$ mm $0.03$ mm $0.04$ mm
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Mar 26, 2018
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gate2013ce
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25
GATE201341
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 (useful for irrigation) of $8$ cm. The duty of irrigation water (in hectares/cumec) is $612$ $216$ $300$ $108$
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Mar 26, 2018
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gate2013ce
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26
GATE201340
The normal depth in a wide rectangular channel is increased by $10 \%$. The percentage increase in the discharge in the channel is $20.1$ $15.4$ $10.5$ $17.2$
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Mar 26, 2018
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gate2013ce
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27
GATE201339
A $2$ km long pipe of $0.2$ m diameter connects two reservoirs. The difference between water levels in the reservoirs is $8$ m. The DarcyWeisbachfriction factor of the pipe is $0.04$. Accounting for frictional, entry exit losses, the velocity in the pipe (in m/s) is $0.63$ $0.35$ $2.52$ $1.25$
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Mar 26, 2018
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gate2013ce
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28
GATE201338
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 $\phi’$ are effective cohesion and effective angle of shearing resistance. The resultant active earth forceper unit length (in kN/m) acting on the wall is $31.7$ $35.2$ $51.8$ $57.0$
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Mar 26, 2018
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Milicevic3306
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gate2013ce
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29
GATE201337
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 weight. The slip will occur at a depth of $8.83$ m $9.79$ m $7.83$ m $6.53$ m
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Mar 26, 2018
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gate2013ce
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30
GATE201336
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. A piezometer (stand pipe) installed in the sand layer shows a reading of $+10$ m elevation. Assume that the piezometric head is ... $2.0 \times 10^{6}$ $1.0 \times 10^{6}$ $0.5 \times 10^{6}$
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Mar 26, 2018
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gate2013ce
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31
GATE201335
A rectangular concrete beam $250$ mm wide and $600$ mm deep is prestressed by means of $16$ high tensile wires, each of $7$ mm diameter, located at $200$ mm from the bottom face of the beamat a given section. If the effective prestress in the ... of the beam can with stand without causing tensile stress at the bottom face of of the beam? Neglect the effect of dead load of beam ______
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gate2013ce
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32
GATE201334
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 length anywhere on the beam. The maximum absolute value of the shear force (in $kN$) that can occur due to this loading just to the right of support $Q$ shall be $30$ $40$ $45$ $55$
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gate2013ce
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33
GATE201333
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). Assume the cables ABCD, BE and CF to be weightless. _______
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34
GATE201332
A uniform beam $(EI = \textit{constant})PQ$ in the form of a quartercircle of radius $R$ is fixed at end $P$ and free at the end $Q$, where a load $W$ is applied as shown. The vertical downward displacement, $\delta_q$, at the loaded point $Q$ is given by: $\delta_q = \beta \bigg( \frac{WR^3}{EI} \bigg)$. Find the value of $\beta$(correct to $4$decimal places). ______
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35
GATE201331
All members in the rigidjointed frame shown are prismatic and have the same flexural stiffness $EI$. Find the magnitude of the bending moment at $Q$ (in kNm) due to given loading ________
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36
GATE201330
Laplace equation for water flow in soils is given below. $\frac{\partial ^2H}{\partial x^2} + \frac{\partial ^2H}{\partial y^2} + \frac{\partial ^2H}{\partial z^2} = 0$ Head $H$ does not vary in $y$ and $z$ directions. Boundary conditions are: at $x=0$, $H=5$; and $\frac{dH}{dx}=1$. What is the value of $H$ at $x=1.2$? __________
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37
GATE201329
Find the value of $\lambda$ such that the function $f(x)$ is a valid probability density function _______ $\begin{array}{lll} f(x) & = \lambda (x1)(2x) & \text{for } 1 \leq x \leq 2 \\ & =0 & \text{otherwise} \end{array}$
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38
GATE201328
The solution for $\int_0^{\pi/6} \cos^4 3 \theta \sin^3 6 \theta \: d \theta$ is $0$ $\frac{1}{15}$ $1$ $\frac{8}{3}$
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Mar 26, 2018
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gate2013ce
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39
GATE201327
Find the magnitude of the error (correct to two decimal places) in the estimation of following integral using Simpson’s $\frac{1}{3}$ Rule. Take the step length as $1$ ______ $\int_0^4 (x^4+10) dx$
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gate2013ce
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40
GATE201326
The state of $2D$stress at a point is given by the following matrix of stresses: $\begin{bmatrix} \sigma_{xx} & \sigma_{xy} \\ \sigma_{xy} & \sigma_{yy} \end{bmatrix} = \begin{bmatrix} 100 & 30 \\ 30 & 20 \end{bmatrix} MPa$ What is the magnitude of the maximum shear stress in MPa $50$ $75$ $100$ $110$
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