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GATE20142GA10
$10\%$ of the population in a town is $HIV^{+}$. A new diagnostic kit for HIV detection is available, this kit correctly identifies $HIV^{+}$ individuals $95\%$ of the time, and $HIV^{}$ individuals $89\%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is________
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Mar 26, 2018
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gate2014ce2
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2
GATE20142GA8
The total exports and revenues from the exports of a country are given in the two pie charts below.The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total ... per kilogram to the revenue generated through export of Item $4$ per kilogram? $1:2$ $2:1$ $1:4$ $4:1$
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Mar 26, 2018
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GATE20142GA9
$X$ is $1$ km northeast of $Y.$ $Y$ is $1$ km southeast of $Z.$ $W$ is $1$ km west of $Z.$ $P$ is $1$ km south of $W.$ $Q$ is $1$ km east of $P.$ What is the distance between $X$ and $Q$ in km? $1$ $\sqrt{2}$ $\sqrt{3}$ $2$
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Mar 26, 2018
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Numerical Ability
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gate2014ce2
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4
GATE20142GA7
Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, connected world of the twentyfirst century is to miss a crucial point. As mentioned ... data is obsessed with exactness Exactitude is not critical in dealing with big data Sparse data leads to a bias in the analysis
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Mar 26, 2018
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Verbal Ability
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gate2014ce2
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5
GATE20142GA6
In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group? Statements Shiv is younger to Riaz. Shiv is elder to Som ... and $2$ are both required to determine the eldest child. Statement $1$ and $2$ are not sufficient to determine the eldest child.
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Mar 26, 2018
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Verbal Ability
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gate2014ce2
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6
GATE20142GA4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04.$ The average time between successive occurrences of such earthquakes is ________ years.
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Mar 26, 2018
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Numerical Ability
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GATE20142GA5
The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at this growth rate? $34$ years $45$ years $56$ years $67$ years
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Mar 26, 2018
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Numerical Ability
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gate2014ce2
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8
GATE20142GA3
Which of the following options is the closest in meaning to the sentence below? “As a woman, I have no country”. Women have no country. Women are not citizens of any country. Women’s solidarity knows no national boundaries. Women of all countries have equal legal rights.
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Mar 26, 2018
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Verbal Ability
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gate2014ce2
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GATE20142GA2
Choose the most appropriate word from the options given below to complete the following sentence. ____________ is the key to their happiness, they are satisfied with what they have. Contentment Ambition Perseverance Hunger
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Mar 26, 2018
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gate2014ce2
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GATE20142GA1
Choose the most appropriate word from the options given below to complete the following sentence. A person suffering from Alzheimer’s disease ____________ shortterm memory loss. experienced has experienced is experiencing experiences
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Mar 26, 2018
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Verbal Ability
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gate2014ce2
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11
GATE2014254
A tacheometer was placed at point $P$ to estimate the horizontal distances $PQ$ and $PR$. The corresponding stadia intercepts with the telescope kept horizontal, are $0.320$ m and $0.210$ m, respectively. The $\angle QPR $ ... $=100$ and stadia addition constant $=0.10$ m, the horizontal distance (in m) between the points $Q$ and $R$ is __________
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Mar 26, 2018
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GATE2014253
A pretimed four phase signal has critical lane flow rate for the first three phases as $200$, $187$ and $210$ veh/hr with saturation flow rate of $1800$ veh/hr/lane for al phases. The lost time is given as $4$ seconds for each phase. If the cycle length is $60$ seconds, the effective green time (in seconds) of the fourth phase is ________
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GATE2014250
In a Marshall sample, the bulk specific gravity of mix and aggregates are $2.324$ and $2.546$ respectively. The sample includes $5 \%$ of bitumen (by total weight of mix) of specific gravity $1.10$. The theoretical maximum specific gravity of mix is $2.441$. The void filled with bitumen (VFB) in the Marshall sample (in $\%$) is _______
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Mar 26, 2018
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GATE2014251
A student riding a bicycle on a $5$ km oneway street takes $40$ minutes to reach home. The student stopped for $15$ minutes during this ride. $60$ vehicles overtook the student (assume the number of vehicles overtaken by the student is zero) during the ride and $45$ vehicles while the student stopped. The speed of vehicle stream on that road (in km/hr) is $7.5$ $12$ $40$ $60$
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Mar 26, 2018
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gate2014ce2
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15
GATE2014252
On a section of a highway the speeddensity relationship is linear an is given by $v=\big[80 – \frac{2}{3}k\big]$; where $v$ is in km/h and $k$ is in veh/km. The capacity (in veh/h) of this section of the highway would be $1200$ $2400$ $4800$ $9600$
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Mar 26, 2018
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Milicevic3306
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gate2014ce2
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16
GATE2014255
The chainage of the intersection point of two straight is $1585.60$ m and the angle of intersection is $140^{\circ}$. If the radius of a circular curve is $600.00$ m, the tangent distance (in m) and length of the curve (in m), respectively are $418.88$ and $1466.08$ $218.38$ and $1648.49$ $218.38$ and $418.88$ $418.88$ and $218.38$
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Mar 26, 2018
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gate2014ce2
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17
GATE2014248
An effluent at a flow rate of $2670 \: m^3/d$ from a sewage treatment plant is to be disinfected. The laboratory data of disinfection studies with a chlorine dosage of $15$ mg/l yield the model $N_t=N_oe^{0.145t}$ where $N_t=$ number of microorganisms surviving ... (at $t=0$). The volume of disinfection unit (in $m^3$) required to achieve a $98\%$ kill microorganisms is __________
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Mar 26, 2018
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gate2014ce2
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18
GATE2014247
A surface water treatment plant operates round the clock with a flow rate of $35 \: m^3/min$. The water temperature is $15^{\circ}C$ and jar testing indicated an alum dosage of $25$ mg/l with flocculation at a $Gt$ value of $4 \times 10^4$ producing optimal results. The alum quantity required for $30$ days (in kg) of operation of the plant is _______
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gate2014ce2
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19
GATE2014246
A suspension of sand like particles in water with particles of diameter $0.10$ mm and below is flowing into a settling tank at $0.10 \: m^3/s$. Assume $g=9.81 \: m/s^2$, specific gravity of particles $=2.65$ ... are (in $m^2$) required for this settling tank to remove particles of size $0.06$ mm and above with $100 \%$ efficiency is ___________
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GATE2014244
Irrigation water is to be provided to a crop in a field to bring the moisture content of the soil from the existing $18 \%$ to the field capacity of the soil at $28 \%$. The effective root zone of the crop is $70$ cm. If the densities of the soil and water ... $1.0 \: gm/cm^3$ respectively, the depth of irrigation water (in mm) required for irrigating the crop is ________
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gate2014ce2
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21
GATE2014245
With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in xdirection between two parallel, stationary and identical plates that are separated by distance, h, is given by the expression ...
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Mar 26, 2018
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gate2014ce2
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22
GATE2014249
A waste water stream (flow $=2 m^3/s$, ultimate BOD$=90$ mg/l) is joining a small river (flow $=12 \: m^3/s$, ultimate BOD $=5$ mg/l). Both water streams get mixed up instantaneously. Crosssectional area of the river is $50 \: m^2$. Assuming the deoxygenation rate ... $10$ km downstream of the mixing point is $1.68$ $12.63$ $15.46$ $1.37$
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gate2014ce2
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23
GATE2014243
A rectangular channel of $2.5$ m width is carrying a discharge of $4 \: m^3/s$. Considering that acceleration due to gravity as $9.81 \: m/s^2$, the velocity of flow (in m/s) corresponding to the critical depth (at which the specific energy is minimum) is _________
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Mar 26, 2018
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gate2014ce2
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24
GATE2014241
A horizontal nozzle of $30$ mm diameter discharges a steady jet of water into the atmosphere at a rate of $15$ litres per second. The diameter of inlet to the nozzle is $100$ mm. The jet impinges normal to a flat stationary plate held close to the nozzle end. ... considering the density of water as $1000 \: kg/m^3$, the force exerted by the jet (in N) on the plate is __________
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Mar 26, 2018
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gate2014ce2
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25
GATE2014239
A single vertical friction pile of diameter $500$ mm and length $20$ m is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum where; angle of internal friction $(\phi)=30^{\circ}$ ... $(K)=2.7$ and the bearing capacity factor $(N_q)=25$, the ultimate bearing capacity of the pile (in kN) is ________
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26
GATE2014237
An infinitely long slope is made up of a $c\phi$ soil having the properties: cohesion $(c)=20$ kPa, and dry unit weight $(\gamma_d)=16 \: kN/m^3$. The angle of inclination and critical height of the slope are $40^{\circ}$ and $5$ m respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is _______
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Mar 26, 2018
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gate2014ce2
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27
GATE2014238
Group I enlists insitu field tests carried out for soil exploration, while Group II provides a list of parameters for subsoil strength characterization. Match the type of tests with the characterization parameters. ... $P1; Q2; R3; S4$ $P2; Q3; R4; S1$ $P4; Q1; R2; S3$
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Mar 26, 2018
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gate2014ce2
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28
GATE2014240
A circular raft foundation of $20$ m diameter and $1.6$ m thick is provided for a tank that applies a bearing pressure of $110$ kPa on sandy soil with Young’s modulus, $E_s’=30$ MPa and Poisson’s ratio, $v_s=0.3$. The raft is made of concrete ($E_c=30$ GPa and $v_c=0.15$). Considering the raft as rigid, the elastic settlement (in mm) is $50.96$ $53.36$ $63.72$ $66.71$
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Mar 26, 2018
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gate2014ce2
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29
GATE2014242
A venturimeter having a throat diameter of $0.1$ m is used to estimate the flow rate of a horizontal pipe having a diameter of $0.2$ m. For an observed pressure difference of $2$ m of water head and coefficient of discharge equal to unity, assuming that the energy losses are ... the flow rate (in $m^3/s$) through the pipe is approximately equal to $0.500$ $0.150$ $0.050$ $0.015$
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gate2014ce2
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30
GATE2014236
For the state of stresses (IN MPa) shown in the figure below, the maximum shear stress (in MPa) is __________
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31
GATE2014232
The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is ______________
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32
GATE2014231
The beam of an overall depth $250$ mm (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are $36^{\circ}$ and $72^{\circ}$ respectively. Considering coefficient of thermal ... per $^{\circ}C$, the vertical deflection of the beam (in mm) at its midspan due to temperature gradient is ________
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33
GATE2014233
Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is $170$ $172$ $176$ $178$
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gate2014ce2
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34
GATE2014234
A prismatic beam (as shown below) has plastic moment capacity of $M_p$, then the collapse load $P$ of the beam is $\frac{2M_p}{L}$ $\frac{4M_p}{L}$ $\frac{6M_p}{L}$ $\frac{8M_p}{L}$
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35
GATE2014235
The tension (in kN) in a $10$ m long cable, shown in the figure, neglecting its selfweight is $120$ $75$ $60$ $45$
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36
GATE2014230
The values of axial stress $(\sigma)$ in $kN/m^2$, bending moment $(M)$ in kNm, and shear force $(V)$ in kN acting at point P fr the arrangement shown in the figure are respectively. $1000, 75$ and $25$ $1250, 150$ and $50$ $1500, 225$ and $75$ $1750, 300$ and $100$
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37
GATE2014229
Water is flowing at a steady rate through a homogeneous and saturated horizontal soil strip of $10$ m length. The strip is being subjected to a constant water head $(H)$ of $5$ m at the beginning and $1$ m at the end. If the governing equation of flow in the soil ... $x$ is the distance along the soil strip), the value of $H$ (in m) at the middle of the strip is _______
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38
GATE2014228
The rank of the matrix $\begin{bmatrix} 6 & 0 & 4 & 4 \\ 2 & 14 & 8 & 18 \\ 14 & 14 & 0 & 10 \end{bmatrix}$ is _________
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39
GATE2014227
An observer counts $240$ veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one having vehicle arriving over a $30$second time interval is _________
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40
GATE2014224
A road is being designed for a speed of $110$ km/hr on a horizontal curve with a super elevation of $8 \%$. If the coefficient of side friction is $0.10$, the minimum radius of the curve (in m) required for safe vehicular movement is $115.0$ $152.3$ $264.3$ $528.5$
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