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GATE201265
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y.$ $X$ supplies $60\%$ and $Y$ supplies $40\%$ of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that quality test are considered reliable. Of $X's$ shock ... chosen shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$
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Mar 25, 2018
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Numerical Ability
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Milicevic3306
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gate2012ce
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2
GATE201264
Which of the following assertions are $\textbf{CORRECT}$? $P:$ Adding $7$ to each entry in a list adds $7$ to mean of the list $Q:$ Adding $7$ to each entry in a list adds $7$ to the standard deviation of the list $R:$ Doubling each entry in a list doubles the mean ... list $S:$ Doubling each entry in a list leaves the standard deviation of the list unchanged $P, Q$ $Q, R$ $P, R$ $R, S$
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Mar 25, 2018
in
Numerical Ability
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Milicevic3306
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gate2012ce
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3
GATE201263
Given the sentence of terms,$AD$ $CG$ $FK$ $JP,$ the next term is $OV$ $OW$ $PV$ $PW$
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Mar 25, 2018
in
Verbal Ability
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Milicevic3306
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gate2012ce
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4
GATE201262
Wanted Temporary, Parttime persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High Schoolpass, must be available for Day, Evening and Saturday work. Transportation ... best inference from the above advertisement? Genderdiscriminatory Xenophobic Not designed to make the post attractive Not genderdiscriminatory
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Mar 25, 2018
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Verbal Ability
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Milicevic3306
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gate2012ce
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5
GATE201261
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x0.1x^{2}$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is $8$ meters $10$ meters $12$ meters $14$ meters
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Mar 25, 2018
in
Numerical Ability
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Milicevic3306
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11.8k
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gate2012ce
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1
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6
GATE201260
Which one of the following options is the closest in meaning to the word given below? $\textbf{Mitigate}$ Diminish Divulge Dedicate Denote
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Mar 25, 2018
in
Verbal Ability
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gate2012ce
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7
GATE201259
Choose the grammatically $\textbf{INCORRECT}$ sentence: They gave us the money back less the service charges of Three Hundred rupees. This country’s expenditure is not less than that of Bangladesh. The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum. This country’s expenditure on educational reforms is very less.
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Mar 25, 2018
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Verbal Ability
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gate2012ce
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8
GATE201258
Choose the most appropriate alternative from the options given below to complete the following sentence: $\textbf{Suresh’s dog is the one __________ was hurt in the stampede.}$ that which who whom
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Mar 25, 2018
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Verbal Ability
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gate2012ce
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9
GATE201257
The cost function for a product in a firm is given by $5q^{2},$where $q$ is the amount of production. The firm can sell the product at a market price of Rs.$50$ per unit. The number of units to be produced by the firm such that the profit is maximized is $5$ $10$ $15$ $25$
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Mar 25, 2018
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Numerical Ability
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gate2012ce
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1
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10
GATE201256
Choose the most appropriate alternative from the options given below to complete the following sentence: $\textbf{Despite several _________ the mission succeeded in its attempt to resolve the conflict.}$ attempts setbacks meetings delegations
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Mar 25, 2018
in
Verbal Ability
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Milicevic3306
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11.8k
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gate2012ce
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11
GATE201255
The drainage are of a watershed is $50 \: km^2$. The $\phi$ index is $0.5 \: cm/hour$ and the base flow at the outlet is $10 \: m^3/s$. One hour unit hydrograph (unit depth $=1 \: cm$) of the water shed is triangular in shape with a time base of $15$ hours. The ... $1$ hour, the peak ordinate (in $m^3/s$) of the hydrograph is $55.00$ $82.60$ $92.60$ $102.60$
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Mar 25, 2018
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gate2012ce
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12
GATE201254
The drainage are of a watershed is $50 \: km^2$. The $\phi$ index is $0.5$ cm/hour and the base flow at the outlet is $10 \: m^3/s$. One hour unit hydrograph (unit depth $=1 \: cm$) of the water shed is triangular in shape with a time base of $15$ hours. The peak ordinate occurs at $5$ hours. The peak ordinate (in $m^3/s/cm$) of the unit hydrograph is $10.00$ $18.52$ $37.03$ $185.20$
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Mar 25, 2018
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gate2012ce
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13
GATE201253
The crosssection at midspan of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The grades of concrete and reinforcing steel are M25 and Fe415, respectively. The total area of reinforcing bars ( ... section, as per the Limit State Method of $\text{IS } 456:2000$ is $475.2$ $717.0$ $756.4$ $762.5$
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Mar 25, 2018
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gate2012ce
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14
GATE201251
An activated sludge system (sketched below) is operating at equilibrium with the following information. Wastewater related data: flow rate $=500 \: m^3/hour$, influent BOD $= 150 mg/L$, effluent BOD $=10 \: mg/L$. Aeration tank related data: hydraulic retention time $=9$ hours, mean ... $ = 2000 \: mg/L$ The mass (in kg/day) of solids wasted from the system is $24000$ $1000$ $800$ $33$
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Mar 25, 2018
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gate2012ce
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15
GATE201252
The crosssection at midspan of a beam at the edge of a slab is shown in the sketch. A portion of the slab is considered as the effective flange width for the beam. The grades of concrete and reinforcing steel are $M25$ and $Fe415$ ... in mm) computed as per the Limit State Method of $IS \: 456:2000$ is $200.0$ $223.3$ $236.3$ $273.6$
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Mar 25, 2018
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gate2012ce
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16
GATE201250
An activated sludge system (sketched below) is operating at equilibrium with the following information. Wastewater related data: flow rate $= 500 \: m^3/hour$, influent BOD $=150 \: mg/L$, effluent BOD $=10 \: mg/L$. Aeration tank related data: hydraulic retention time $=8$ hours, ... F/M) ratio (in kg BOD per kg biomass per day) for the aeration tank is $0.015$ $0.210$ $0.225$ $0.240$
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Mar 25, 2018
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gate2012ce
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17
GATE201249
The flow net around a sheet pile wall is shown in the sketch. The properties of the soil are: permeability coefficient $0.09 \: m/day$ (isotropic), specific gravity $=2.70$ and void ratio $=0.85$. The sheet pile wall and the bottom of the soil are impermeable. The factor of safety against the occurrence of piping failure is $3.55$ $2.93$ $2.60$ $0.39$
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Mar 25, 2018
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gate2012ce
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18
GATE201248
The flow net around a sheet pile wall is shown in the sketch. The properties of the soil are: permeability coefficient $0.09 \: m/day$ (isotropic), specific gravity $=2.70$ and void ratio $0.85$. The sheet pile wall and the bottom of the soil are impermeable. The seepage loss (in $m^3$ per day per unit length of the wall) of water is $0.33$ $0.38$ $0.43$ $0.54$
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Mar 25, 2018
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11.8k
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gate2012ce
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19
GATE201247
The horizontal distance between two stations P and Q is $100 \: m$. The vertical angles from P and Q to the top of a vertical tower at $T$ are $3^{\circ}$ and $5^{\circ}$ above horizontal, respectively. The vertical angles from P and Q to the base of the ... $6.972$ $12.387$ $12.540$ $128.745$
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Mar 25, 2018
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gate2012ce
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20
GATE201246
A twolane urban road with oneway traffic has a maximum capacity of $1800$ vehicles/hour. Under the jam condition, the average length occupied by the vehicles is $5.0 \: m$. The speed versus density relationship is linear. For a traffic volume of $1000$ vehicles/hour, the density (in vehicles/km) is $52$ $58$ $67$ $75$
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Mar 25, 2018
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gate2012ce
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21
GATE201245
The following data are related to a horizontal curved portion of a twolane highway: length of curve $200$ m, radius of curve $=300$ m and with of pavement $=7.5$ m. In order to provide a stopping sight distance (SSD) of $80$ m, the set back distance (in m) required from the centre line of the inner lane of the pavement is $2.54$ $4.55$ $7.10$ $7.96$
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Mar 25, 2018
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gate2012ce
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22
GATE201244
A pavement designer has arrived at a design traffic of $100$ million standard axles for a newly developing national highway as per $IRC:37$ guidelines using the following data: design life $=15$ years, commercial vehicle count before pavement construction $=4500$ vehicles/day, annual traffic ... $=8\%$. The vehicle damage factor used in the calculation was $1.53$ $2.24$ $3.66$ $4.14$
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Mar 25, 2018
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gate2012ce
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23
GATE201243
A town is required to treat $4.2 \: m^3/min$ of raw water for daily domestic supply. Flocculating particles are to be produced by chemical coagulation. A column analysis indicated that an overflow rate of $0.2$ mm/s will produce satisfactory particles removal in a settling basin at a depth of $3.5$ m. The required surface area (in $m^2$) for settling is $210$ $350$ $1728$ $21000$
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Mar 25, 2018
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11.8k
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gate2012ce
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24
GATE201242
A water sample has a pH of $9.25$. The concentration of hydroxyl ions in the water sample is $10^{9.25}$ moles/L $10^{4.75}$ mmoles/L $0.302$ mg/L $3.020$ mg/L
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Mar 25, 2018
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Milicevic3306
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11.8k
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gate2012ce
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25
GATE201241
Wheat crop requires $55$ cm of water during $120$ days of base period. The total rainfall during this period is $100$ mm. Assume the irrigation efficiency to be $60\%$. The area (in ha) of the land which can be irrigated with canal flow of $0.01 \: m^3/s$ is $13.82$ $18.85$ $23.04$ $230.40$
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Mar 25, 2018
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Milicevic3306
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gate2012ce
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26
GATE201240
Group I contains parameters and GroupII lists methods/instruments. ... $P4, \: Q2, \: R3, \: S1$ $P1, \: Q3, \: R2, \: S4$
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Mar 25, 2018
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gate2012ce
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27
GATE201239
The top width and the top depth of flow in a triangular channel were measured as $4$ m and $1$ m, respectively. The measured velocities on the centre line at the water surface, $0.2$ m and $0.8$ m below the surface are $0.7$ m/s, $0.6$ m/s and $0.4$ m/s, respectively. Using twopoint method of velocity measurement, the discharge (in $m^3/s$) in the channel is $1.4$ $1.2$ $1.0$ $0.8$
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Mar 25, 2018
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gate2012ce
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28
GATE201238
Steady state seepage is taking place through a soil element at Q, $2$ m below the ground surface immediately downstream of the toe of an earthen dam as shown in the sketch. The water level in a piezometer installed at $P$, $500$ mm above $Q$, is at the ground surface. The water level in ... $Q$ is $14.42$ $15.89$ $16.38$ $18.34$
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Mar 25, 2018
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gate2012ce
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29
GATE201237
A layer of normally consolidated, saturated silty clay of $1$ m thickness is subjected to one dimensional consolidation under a pressure increment of $20$ kPa. The properties of the soil are: specific gravity $=2.7$, natural moisture content $=45 \%$ ... applicable, the primary consolidation settlement (rounded off to the nearest mm) is $2$ mm $9$ mm $14$ mm $16$ mm
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Mar 25, 2018
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gate2012ce
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30
GATE201236
Two soil specimens with identical geometric dimensions were subjected to failing head permeability tests in the laboratory under identical conditions. The fall of water head was measured after an identical time interval. The ratio of initial to final water heads for the test involving the ... final water heads in the test involving the second specimen is $3.05$ $3.80$ $4.00$ $6.25$
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gate2012ce
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31
GATE201235
Two plates are connected by filler welds of size $10$ mm and subjected to tension, as shown in the sketch. The thickness of each plate is $12$ mm. The yield stress and the ultimate tensile stress of steel are $250$ MPa and $410$ MPa, respectively. The welding is done in the workshop ... $P$ equal to $270$ kN is $100$ mm $105$ mm $110$ mm $115$ mm
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gate2012ce
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32
GATE201234
A symmetric frame PQR consists of two inclined members PQ and QR, connected at ‘Q’ with a rigid joint, and hinged at ‘P’ and ‘R’. The horizontal length PR is $l$. If a weight $W$ is suspended at ‘Q’, the bending moment at ‘Q’ is $\frac{Wl}{2}$ $\frac{Wl}{4}$ $\frac{Wl}{8}$ zero
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gate2012ce
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33
GATE201233
A concrete beam prestressed with a parabolic tendon is shown in the sketch. The eccentricity of the tendon is measured from the centroid of the crosssection. The applied prestressing force at service is $1620$ kN. The uniformly distributed load of $45$ kN/m includes the self ... $2.90$ compressive $2.90$ tensile $4.32$ compressive $4.32$
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gate2012ce
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34
GATE201232
The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $P$ and a moment $M$ at midheight. The reaction(s) at R is/are a vertical force equal to $P$ a vertical force equal to $P/2$ a vertical force equal to $P$ an a horizontal force equal to $M/h$ a vertical force equal to $P/2$ and a horizontal force equal to $M/h$
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gate2012ce
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35
GATE201231
A simply supported beam is subjected ti a uniformly distributed load of intensity $w$ per unit length, on half of the span from one end. The length of the span and the flexural stiffness are denoted as $l$ and $EI$ ... $\frac{5}{384} \frac{wl^4}{EI}$ $\frac{5}{192} \frac{wl^4}{EI}$
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gate2012ce
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36
GATE201228
The eigenvalues of matrix $\begin{bmatrix} 9 & 5 \\ 5 & 8 \end{bmatrix}$ are $2.42$ and $6.86$ $3.48$ and $13.53$ $4.70$ and $6.86$ $6.86$ and $9.50$
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gate2012ce
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37
GATE201227
In an experiment, positive and negative values are equally likely to occur. The probability of obtaining at most one negative value in five trials is $\frac{1}{32}$ $\frac{2}{32}$ $\frac{3}{32}$ $\frac{6}{32}$
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gate2012ce
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38
GATE201226
The error in $\frac{d}{dx} f(x) \mid_{x=x_0}$ for a continuous function estimated with $h=0.03$ using the central difference formula $\frac{d}{dx} f(x) \mid_{x=x_0} \approx \frac{f(x_0+h)f(x_0h)}{2h}$, is $2 \times 10^{3}$. The values of $x_0$ and $f(x_0)$ are $119.78$ ... $h=0.02$ is approximately $1.3 \times 10^{4}$ $3.0 \times 10^{4}$ $4.5 \times 10^{4}$ $9.0 \times 10^{4}$
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gate2012ce
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39
GATE201229
For the parallelogram OPQR shown in the sketch, $\overrightarrow{OP}=a \hat{i}+b \hat{j}$ and $\overrightarrow{OR}=c \hat{i} +d \hat{j}$. The area of the parallelogram is $adbc$ $ac+bd$ $ad+bc$ $abcd$
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gate2012ce
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40
GATE201230
The solution of the ordinary differential equation $\frac{dy}{dx}+2y=0$ for the boundary condition, $y=5$ at $x=1$ is $y=e^{2x}$ $y=2e^{2x}$ $y=10.95 e^{2x}$ $y=36.95 e^{2x}$
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gate2012ce
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