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GATE20141GA8
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The largest angle of the triangle is twice its smallest angle. What is the sum, in degree, of the second largest angle of the triangle and the largest angle of the quadrilateral?
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Mar 26, 2018
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Numerical Ability
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gate2014ce1
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2
GATE20141GA6
Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK ALRVX EPVZB ITZDF OYEIK
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Mar 26, 2018
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Verbal Ability
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gate2014ce1
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3
GATE20141GA7
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a sixstoreyed building (the ground floor is numbered $1,$ the floor above it $2,$and so on). Anuj lives on an evennumbered floor.Bhola does not live on an odd numbered floor. Chandan does not live on any of ...
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Mar 26, 2018
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Numerical Ability
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gate2014ce1
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4
GATE20141GA9
One percent of the people of country $X$ are taller than $6$ ft. Two percent of the people of country $Y$ are taller than $6$ ft. There are thrice as many people in country $X$ as in country $Y.$ Taking both countries together, what is the percentage of people taller than $6$ ft? $3.0$ $2.5$ $1.5$ $1.25$
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Mar 26, 2018
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Numerical Ability
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gate2014ce1
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5
GATE20141GA10
The monthly rainfall chart based on $50$ years of rainfall in Agra is shown in the following figure. Which of the following are true? ($k$ percentile is the value such that $k$ percent of the data fall below that value) On average, it rains more in July than in December Every year, ... there is at least $500$ mm of rainfall (i) and (ii) (i) and (iii) (ii) and (iii) (iii) and (iv)
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Mar 26, 2018
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Numerical Ability
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gate2014ce1
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6
GATE20141GA5
A foundry has a fixed daily cost of Rs $50,000$ whenever it operates and a variable cost of Rs $800Q,$ where $Q$ is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of $100$ tonnes?
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Mar 26, 2018
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Numerical Ability
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gate2014ce1
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GATE20141GA1
A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences. The word closest in meaning to comprehension is understanding meaning concentration stability
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Mar 26, 2018
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gate2014ce1
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8
GATE20141GA2
Choose the most appropriate word from the options given below to complete the following sentence. One of his biggest ______ was his ability to forgive. vice virtues choices strength
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Mar 26, 2018
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gate2014ce1
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GATE20141GA3
Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently. Which one of the statements below is logically valid and can be inferred from the above sentences? ... to give in to Rajan's request to work with him. Rajan had believed that Sajan and he would be working together.
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Mar 26, 2018
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gate2014ce1
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10
GATE20141GA4
If $y=5x^{2}+3,$then the tangent at $x=0,y=3$ passes through $x=0,y=0$ has a slope of $+1$ is parallel to the $x$axis has a slope of $1$
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Mar 26, 2018
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Numerical Ability
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gate2014ce1
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GATE2014154
A levelling is carried out to establishing the Reduced Levels (RL) of point R with respect to the Bench Mark (BM) at P. The staff readings taken are given below: ... $RL$ of $P$ is $+100.000$ m, then $RL$ (in m) of $R$ is $103.355$ $103.155$ $101.455$ $100.355$
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Mar 26, 2018
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12
GATE2014155
Group I lists tool/instrument while Group II lists the method of surveying. Match the tool/instrument with the corresponding method of surveying. ... $P2; Q4; R3; S1$ $P1; Q2; R4; S3$ $P3; Q1; R2; S4$
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13
GATE2014153
An isolated threephase traffic signal is designed by Websterâ€™s method. The critical flow ratios for three phases are $0.20$, $0.30$, and $0.25$ respectively, and lost time per phase is $4$ seconds. The optimum cycle length (in seconds) is ____________
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Mar 26, 2018
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14
GATE2014152
The speeddensity $(uk)$ relationship on a single lane road with unidirectional flow is $u=700.77k$, where $u$ is in km/hr and $k$ is in veh/km. The capacity of the road (in veh/hr) is ___________
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15
GATE2014151
The perceptionreaction time for a vehicle travelling at $90$ km/h, given the coefficient of longitudinal friction of $0.35$ and the stopping sight distance of $170$ m (assume $g=9.81 \: m/s^2$), is _____ seconds.
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16
GATE2014150
A traffic survey conducted on a road yields an average daily traffic count of $5000$ ... the vehicle damage factor (VDF) is calculated from the above data, the design traffic (in million standard axle load, MSA) is ________
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Mar 26, 2018
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gate2014ce1
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17
GATE2014149
A straight $100$ m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is $0.21 \: m^3/s$. Allowable velocity through the main is $0.75$ m/ ... (in $cm/100$ m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________
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18
GATE2014148
For a sample water with the ionic composition shown in the figure below, the carbonate and noncarbonate hardness concentrations (in mg/l as $CaCO_3$), respectively are: $200$ and $50$ $175$ and $75$ $75$ and $175$ $50$ and $200$
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Mar 26, 2018
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gate2014ce1
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19
GATE2014145
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters $d_1$ and $d_2$ (where $d_1 =4d_2$) that run for a distance of $L$ each and then ... only and the DarcyWeisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is ____________
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20
GATE2014142
A venturimeter, having a diameter of $7.5$ cm at the throat an $15$ cm at the enlarged end, is installed in a horizontal pipeline of $15$ cm diameter. The pipe carries an incompressible fluid at a steady rate of $30$ litres per second, The difference of ... as $9.81 \: m/s^2$, the coefficient of discharge of the venturimeter (correct up to two places of decimal) is ____________
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21
GATE2014141
A horizontal jet of water with its crosssectional area of $0.0028 \: m^2$ hits a fixed vertical plate with a velocity of $5$ m/s. After impact, the jet splits symmetrically in a plane parallel to the plane of the plate. The force of impact (in N) of the jet on the plate is $90$ $80$ $70$ $60$
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22
GATE2014143
A rectangular channel having a bed slope of $0.0001$, width $3.0$ m and Manning's coefficient $'n'$ $0.015$, carries a discharge of $1.0 \: m^3/s$. Given that the normal depth of flow range between $0.76$ m and $0.8$ m. The minimum width of ... is not exceeded along the reach upstream of the contraction, is approximately equal to (assume negligible losses) $0.64$ $0.84$ $1.04$ $1.24$
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23
GATE2014144
Three rigid buckets, shown as in the figures $(1)$, $(2)$, and $(3)$, are of identical heights and base areas. Further, assume that each of these buckets have negligible mass and are full of water. The weights of water in these buckets are denoted as $W_1$, $W_2$ and $W_3$ ... $F_2 > F_1 >F_3$ $W_2=W_1=W_3$ and $F_1 = F_2 = F_3$ $W_2>W_1>W_3$ and $F_1 = F_2 = F_3$
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gate2014ce1
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24
GATE2014146
$16$ MLD of water is flowing through a $2.5$ km long pipe of diameter $45$ cm. The chlorine at the rate of $32$ kg/d is applied at the entry of this pipe so that disinfected water is obtained at the exit. There is a proposal to increase the flow through this ... per day) to be applied to achieve the same degree of disinfection for the enhanced flow is $60.50$ $44.00$ $38.00$ $23.27$
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Mar 26, 2018
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gate2014ce1
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25
GATE2014147
The potable water is prepared from turbid surface water by adopting the following treatment sequence. Turbid surface water $\rightarrow$ Coagulation $\rightarrow$ Flocculation $\rightarrow$ Sedimentation $\rightarrow$ Filtration $\rightarrow$ Disinfection ... $\rightarrow$ Coagulation $\rightarrow$ Disinfection $\rightarrow$ Filtration $\rightarrow$ Storage & Supply
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gate2014ce1
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26
GATE2014140
The flow net constructed for the dam is shown in the figure below. Taking the coefficient of permeability as $3.8 \times 10^{6}$ m/s, the quantity of flow (in $cm^3/s$) under the dam per meter of dam is __________
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Mar 26, 2018
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27
GATE2014139
The following data are given for the laboratory sample. $\sigma_0=175$ kPa; $e_0 =1.1$; $\sigma_0 + \Delta \sigma_0 =300$ kPa; $e=0.9$ If thickness of the clay specimen is $25$ mm, the value of coefficient of volume compressibility is ______ $\times 10^{4} m^2/kN$
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28
GATE2014135
For a beam of crosssection, width $=230$ mm and effective depth $=500$ mm, the number of rebars of $12$ mm diameter required to satisfy minimum tension reinforcement requirement specified by $IS: 4562000$ (assuming grade of steel reinforcement as $Fe500$ is ________
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29
GATE2014138
A given cohesionless soil has $e_{\text{max}} = 0.85$ and $e_{\text{min}} =0.50$. In the field, the soil is compacted to a mass density of $1800 \: kg/m^3$ at a water content of $8 \%$. Take the mass density of water as $1000 \: kg/m^3$ and $G_s$ as $2.7$. The relative density (in $\%$) of the soil is $56.43$ $60.25$ $62.87$ $65.71$
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Mar 26, 2018
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gate2014ce1
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30
GATE2014137
Group I contains representative loadsettlement curves for different modes of bearing capacity failures of sandy soil. Group II enlists the various failure characteristics. Match the loadsettlement curves with the corresponding failure characteristics. ... $P  3, \: Q  1, \: R  2$ $P  1, \: Q  2, \: R  3$
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31
GATE2014136
In a reinforced concrete section, the stress at the extreme fibre in compression is $5.80$ MPa. The depth of neutral axis in the section is $58$ mm and the grade of concrete is $M25$. Assuming linear elastic behavior of the concrete, the effective curvature of the section (in per mm) is $2.0 \times 10^{6}$ $3.0 \times 10^{6}$ $4.0 \times 10^{6}$ $5.0 \times 10^{6}$
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32
GATE2014134
The tension and shear force (both in kN) in each bolt of the joint, as shown below, respectively are $30.33$ and $20.00$ $30.33$ and $25.00$ $33.33$ and $20.00$ $33.33$ and $25.00$
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33
GATE2014132
For the truss shown below, the member $PQ$ is short by $3$ mm. The magnitude of vertical displacement of joint $R$ (in mm) is ______
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34
GATE2014131
For the cantilever beam of span $3$ m (shown below) m concentrated load of $20 \: kN$ applied at the free end causes a vertical displacement of $2$ mm at a section located at a distance of $1$ m from the fixed end. If a concentrated vertically downward load ... m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is ______
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35
GATE2014129
A traffic office imposes on an average $5$ number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than $4$ penalties in a day is ___________
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36
GATE2014128
A particle moves along a curve whose parametric equations are: $x=t^3+2t$, $y=3e^{2t}$ and $z=2 \sin (5t)$, where $x$, $y$ and $z$ show variations of the distance covered by the particle (in cm) with time $t$ (in s). The magnitude of the acceleration of the particle (in $cm/s^2$) at $t=0$ is ________
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37
GATE2014133
A rectangular beam of width $(b)$ $230$ mm and effective depth $(d)$ $450$ mm is reinforced with four bars of $12$ mm diameter. The grade of concrete is $M20$ and grade of steel is $Fe500$. Given that for $M20$ ... diameter (in mm) of $Fe500$ steel two legged stirrups to be used at spacing of $375$ mm, should be $8$ $10$ $12$ $16$
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38
GATE2014130
Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the vertices are given in parentheses. The force in the member $QR$, $F_{QR}$ will be $30$ kN Compressive $30$ kN Tensile $50$ Compressive $50$ kN Tensile
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gate2014ce1
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39
GATE2014127
A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with respect to $x$axis should be $F=56.389$ kN and $\theta=28.28^{\circ}$ $F=56.389$ kN and $\theta=28.28^{\circ}$ $F=9.055$ kN and $\theta=1.414^{\circ}$ $F=9.055$ kN and $\theta=1.414^{\circ}$
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GATE2014122
The amount of $CO_2$ generated (in kg) while completely oxidizing one kg of $CH_4$ to the end products is _________
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