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GATE CE 2014 Set 2

All 65 solved GATE CE 2014 Set 2 questions in exam order. Open a question, commit to an answer, and learn from the step-by-step solution. One question at a time.

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Questions

65

Paper marks

100

Question formats

2

MCQ · NAT

Revision mode

Self-paced

No timer. Focus on understanding.

Difficulty mixEasy 35Medium 26Hard 4

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65 of 65 questions

General Aptitude (GA)

10
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    Question

    Choose the most appropriate word from the options given below to complete the following sentence.
    A person suffering from Alzheimer’s disease ________ short-term memory loss.
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    Question

    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.
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    Question

    Which of the following options is the closest in meaning to the sentence below?
    “As a woman, I have no country.”
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    Question

    In any given year, the probability of an earthquake greater than Magnitude 66 occurring in the Garhwal Himalayas is 0.040.04. The average time between successive occurrences of such earthquakes is ____ years.
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    Question

    The population of a new city is 55 million and is growing at 20%20\% annually. How many years would it take to double at this growth rate?
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    Question

    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
    1.Shiv is younger to Riaz.
    2.Shiv is elder to Som.
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    Question

    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 twenty-first century is to miss a crucial point. As mentioned earlier, the obsession with exactness is an artefact of the information-deprived analog era. When data was sparse, every data point was critical, and thus great care was taken to avoid letting any point bias the analysis.
    From “BIG DATA” Viktor Mayer-Schonberger and Kenneth Cukier
    The main point of the paragraph is:
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    Question

    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 revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?
    Two pie charts showing the percentage distribution of Exports and Revenues for six items.
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    Question

    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?
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    Question

    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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CIVIL – CE

55
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    Question

    A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: (i) Head, (ii) Head, (iii) Head, (iv) Head. The probability of obtaining a 'Tail' when the coin is tossed again is
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    Question

    The determinant of matrix [0123103023013012]\begin{bmatrix} 0 & 1 & 2 & 3 \\ 1 & 0 & 3 & 0 \\ 2 & 3 & 0 & 1 \\ 3 & 0 & 1 & 2 \end{bmatrix} is _____________
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    Question

    z=2−3i−5+iz = \frac{2 - 3i}{-5 + i} can be expressed as
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    Question

    The integrating factor for the differential equation dPdt+k2P=k1Loe−k1t\frac{dP}{dt} + k_2 P = k_1 L_o e^{-k_1 t} is
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    Question

    If {x} is a continuous, real valued random variable defined over the interval (−∞,+∞)(-\infty, +\infty) and its occurrence is defined by the density function given as: f(x)=12πbe−12(x−ab)2f(x) = \frac{1}{\sqrt{2\pi}b} e^{-\frac{1}{2}\left(\frac{x-a}{b}\right)^2} where 'a' and 'b' are the statistical attributes of the random variable {x}. The value of the integral ∫−∞a12πbe−12(x−ab)2dx\int_{-\infty}^{a} \frac{1}{\sqrt{2\pi}b} e^{-\frac{1}{2}\left(\frac{x-a}{b}\right)^2} dx is
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    Question

    Group I contains representative stress-strain curves as shown in the figure, while Group II gives the list of materials. Match the stress-strain curves with the corresponding materials.
    Stress-strain curves for materials J, K, and L
    Group IGroup II
    P. Curve J1. Cement paste
    Q. Curve K2. Coarse aggregate
    R. Curve L3. Concrete
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    Question

    The first moment of area about the axis of bending for a beam cross-section is
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    Question

    Polar moment of inertia (IpI_p), in cm4\text{cm}^4, of a rectangular section having width, b=2 cmb = 2\text{ cm} and depth, d=6 cmd = 6\text{ cm} is ________________
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    Question

    The target mean strength fcmf_{cm} for concrete mix design obtained from the characteristic strength fckf_{ck} and standard deviation σ\sigma, as defined in IS:456-2000, is
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    Question

    The flexural tensile strength of M25 grade of concrete, in N/mm2^2, as per IS:456-2000 is __________
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    Question

    The modulus of elasticity, E=5000fckE = 5000 \sqrt{f_{ck}} where fckf_{ck} is the characteristic compressive strength of concrete, specified in IS:456-2000 is based on
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    Question

    The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________
    A two-span continuous beam with a hinge support on the left, a roller support in the middle, an internal hinge in the second span, and a roller support on the right.
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    Question

    As per Indian Standard Soil Classification System (IS: 1498 - 1970), an expression for A-line is
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    Question

    The clay mineral primarily governing the swelling behavior of Black Cotton soil is
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    Question

    The contact pressure for a rigid footing resting on clay at the centre and the edges are respectively
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    Question

    A certain soil has the following properties: Gs=2.71G_s = 2.71, n=40%n = 40\% and w=20%w = 20\%. The degree of saturation of the soil (rounded off to the nearest percent) is __________
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    Question

    A plane flow has velocity components u=xT1u = \frac{x}{T_1}, v=−yT2v = -\frac{y}{T_2} and w=0w = 0 along xx, yy and zz directions respectively, where T1(≠0)T_1 (\neq 0) and T2(≠0)T_2 (\neq 0) are constants having the dimension of time. The given flow is incompressible if
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    Question

    Group I lists a few devices while Group II provides information about their uses. Match the devices with their corresponding use.
    Group IGroup II
    P. Anemometer1. Capillary potential of soil water
    Q. Hygrometer2. Fluid velocity at a specific point in the flow stream
    R. Pitot Tube3. Water vapour content of air
    S. Tensiometer4. Wind speed
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    Question

    An isolated 3-h rainfall event on a small catchment produces a hydrograph peak and point of inflection on the falling limb of the hydrograph at 7 hours and 8.5 hours respectively, after the start of the rainfall. Assuming, no losses and no base flow contribution, the time of concentration (in hours) for this catchment is approximately
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    Question

    The Muskingum model of routing a flood through a stream reach is expressed as O2=K0I2+K1I1+K2O1O_2 = K_0 I_2 + K_1 I_1 + K_2 O_1, where K0,K1K_0, K_1 and K2K_2 are the routing coefficients for the concerned reach, I1I_1 and I2I_2 are the inflows to the reach, and O1O_1 and O2O_2 are the outflows from the reach corresponding to time steps 1 and 2 respectively. The sum of K0,K1K_0, K_1 and K2K_2 of the model is
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    Question

    The dominating microorganisms in an activated sludge process reactor are
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    Question

    The two air pollution control devices that are usually used to remove very fine particles from the flue gas are
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    Question

    The average spacing between vehicles in a traffic stream is 50 m, then the density (in veh/km) of the stream is
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    Question

    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
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    Question

    The survey carried out to delineate natural features, such as hills, rivers, forests and man-made features, such as towns, villages, buildings, roads, transmission lines and canals is classified as
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    Question

    The expression lim⁡α→0xα−1α\lim_{\alpha \to 0} \frac{x^\alpha - 1}{\alpha} is equal to
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    Question

    An observer counts 240240 veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poisson distributed, the probability of having one vehicle arriving over a 3030-second time interval is ____________
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    Question

    The rank of the matrix [6044−21481814−140−10]\begin{bmatrix} 6 & 0 & 4 & 4 \\ -2 & 14 & 8 & 18 \\ 14 & -14 & 0 & -10 \end{bmatrix} is _______________
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    Question

    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 (HH) of 5 m at the beginning and 1 m at the end. If the governing equation of flow in the soil strip is d2Hdx2=0\frac{d^2H}{dx^2} = 0 (where xx is the distance along the soil strip), the value of HH (in m) at the middle of the strip is ___________
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    Question

    The values of axial stress (σ\sigma) in kN/m2^2, bending moment (MM) in kNm, and shear force (VV) in kN acting at point P for the arrangement shown in the figure are respectively
    A horizontal beam PQ of length 3m and cross-section 0.2m x 0.2m is hinged at P. A cable is attached to the wall above P, passes over a frictionless pulley at Q, and supports a 50 kN load.
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    Question

    The beam of an overall depth 250250 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∘C36^\circ\text{C} and 72∘C72^\circ\text{C} respectively. Considering coefficient of thermal expansion (α\alpha) as 1.50×10−51.50 \times 10^{-5} per ∘C^\circ\text{C}, the vertical deflection of the beam (in mm) at its mid-span due to temperature gradient is ________
    A simply supported beam of length 3 m (1.5 m + 1.5 m) with an overall depth of 250 mm. The top surface is at 36°C and the bottom surface is at 72°C.
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    Question

    The axial load (in kN) in the member PQ for the arrangement/assembly shown in the figure given below is _______________
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    Question

    Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is
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    Question

    A prismatic beam (as shown below) has plastic moment capacity of MpM_p, then the collapse load PP of the beam is
    A continuous beam with two spans. The first span of length $L$ has a hinge support at the left end and a roller support at the middle. A point load $P$ is applied at the mid-span ($L/2$ from each end). The second span is an overhang of length $L/3$ with a point load $P/2$ at the free end.
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    Question

    The tension (in kN) in a 10 m long cable, shown in the figure, neglecting its self-weight is
    A cable suspended between two supports P and Q at the same level. A vertical load of 120 kN is applied at point R. The horizontal distance from P to the load is 3 m, and from the load to Q is 3 m. Point S is on the horizontal line connecting P and Q, directly above R.
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    Question

    For the state of stresses (in MPa) shown in the figure below, the maximum shear stress (in MPa) is
    A square stress element. Vertical normal stress $\sigma_y = 4$ MPa (tensile). Horizontal normal stress $\sigma_x = 2$ MPa (compressive, arrows pointing inward). Shear stress $\tau_{xy} = 4$ MPa.
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    Question

    An infinitely long slope is made up of a c−ϕc-\phi soil having the properties: cohesion (c)=20(c) = 20 kPa, and dry unit weight (γd)=16(\gamma_d) = 16 kN/m3^3. The angle of inclination and critical height of the slope are 40∘40^\circ and 55 m, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is _________________
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    Question

    Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type of tests with the characterization parameters.
    Group IGroup II
    P. Pressuremeter Test (PMT)1. Menard’s modulus (EmE_m)
    Q. Static Cone Penetration Test (SCPT)2. Number of blows (NN)
    R. Standard Penetration Test (SPT)3. Skin resistance (fcf_c)
    S. Vane Shear Test (VST)4. Undrained cohesion (cuc_u)
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    Question

    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 (ϕ\phi) = 30°, dry unit weight (γd\gamma_d) = 20 kN/m3^3 and angle of wall friction (δ\delta) = 2ϕ/32\phi/3. Considering the coefficient of lateral earth pressure (KK) = 2.7 and the bearing capacity factor (NqN_q) = 25, the ultimate bearing capacity of the pile (in kN) is _______________
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    Question

    A circular raft foundation of 20 m20\text{ m} diameter and 1.6 m1.6\text{ m} thick is provided for a tank that applies a bearing pressure of 110 kPa110\text{ kPa} on sandy soil with Young's modulus, Es′=30 MPaE_s' = 30\text{ MPa} and Poisson's ratio, νs=0.3\nu_s = 0.3. The raft is made of concrete (Ec=30 GPaE_c = 30\text{ GPa} and νc=0.15\nu_c = 0.15). Considering the raft as rigid, the elastic settlement (in mm) is
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    Question

    A horizontal nozzle of 30 mm30\text{ mm} diameter discharges a steady jet of water into the atmosphere at a rate of 15 litres per second15\text{ litres per second}. The diameter of inlet to the nozzle is 100 mm100\text{ mm}. The jet impinges normal to a flat stationary plate held close to the nozzle end. Neglecting air friction and considering the density of water as 1000 kg/m31000\text{ kg/m}^3, the force exerted by the jet (in N) on the plate is _________
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    Question

    A venturimeter having a throat diameter of 0.1 m0.1\text{ m} is used to estimate the flow rate of a horizontal pipe having a diameter of 0.2 m0.2\text{ m}. For an observed pressure difference of 2 m2\text{ m} of water head and coefficient of discharge equal to unity, assuming that the energy losses are negligible, the flow rate (in m3/s\text{m}^3\text{/s}) through the pipe is approximately equal to
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    Question

    A rectangular channel of 2.5 m2.5\text{ m} width is carrying a discharge of 4 m3/s4\text{ m}^3/\text{s}. Considering that acceleration due to gravity as 9.81 m/s29.81\text{ m}/\text{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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    Question

    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 are 1.3 g/cm31.3\text{ g/cm}^3 and 1.0 g/cm31.0\text{ g/cm}^3 respectively, the depth of irrigation water (in mm) required for irrigating the crop is ________
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    Question

    With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x-direction between two parallel, stationary and identical plates that are separated by distance, h, is given by the expressionu=−h28μdpdx[1−4(yh)2]u = - \frac{h^2}{8\mu} \frac{dp}{dx} \left[1 - 4 \left(\frac{y}{h}\right)^2\right]In this equation, the y=0y = 0 axis lies equidistant between the plates at a distance h/2h/2 from the two plates, pp is the pressure variable and μ\mu is the dynamic viscosity term. The maximum and average velocities are, respectively
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    Question

    A suspension of sand like particles in water with particles of diameter 0.10 mm0.10\text{ mm} and below is flowing into a settling tank at 0.10 m3/s0.10\text{ m}^3/\text{s}. Assume g=9.81 m/s2g = 9.81\text{ m}/\text{s}^2, specific gravity of particles =2.65= 2.65, and kinematic viscosity of water =1.0105×10−2 cm2/s= 1.0105 \times 10^{-2}\text{ cm}^2/\text{s}. The minimum surface area (in m2\text{m}^2) required for this settling tank to remove particles of size 0.06 mm0.06\text{ mm} and above with 100% efficiency is
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    Question

    A surface water treatment plant operates round the clock with a flow rate of 35 m3/min35\text{ m}^3/\text{min}. The water temperature is 15∘C15^\circ\text{C} and jar testing indicated an alum dosage of 25 mg/l25\text{ mg/l} with flocculation at a GtGt value of 4×1044 \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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    An effluent at a flow rate of 2670 m3/d2670\text{ m}^3/\text{d} from a sewage treatment plant is to be disinfected. The laboratory data of disinfection studies with a chlorine dosage of 15 mg/l15\text{ mg/l} yield the model Nt=Noe−0.145tN_t = N_o e^{-0.145t} where Nt=N_t = number of micro-organisms surviving at time tt (in min.) and No=N_o = number of micro-organisms present initially (at t=0t = 0). The volume of disinfection unit (in m3\text{m}^3) required to achieve a 98% kill of micro-organisms is
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    A waste water stream (flow = 2 m3/s2\text{ m}^3/\text{s}, ultimate BOD = 90 mg/l90\text{ mg/l}) is joining a small river (flow = 12 m3/s12\text{ m}^3/\text{s}, ultimate BOD = 5 mg/l5\text{ mg/l}). Both water streams get mixed up instantaneously. Cross-sectional area of the river is 50 m250\text{ m}^2. Assuming the de-oxygenation rate constant, k′=0.25/dayk' = 0.25/\text{day}, the BOD (in mg/l) of the river water, 10 km10\text{ km} downstream of the mixing point is
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    In a Marshall sample, the bulk specific gravity of mix and aggregates are 2.3242.324 and 2.5462.546 respectively. The sample includes 5%5\% of bitumen (by total weight of mix) of specific gravity 1.101.10. The theoretical maximum specific gravity of mix is 2.4412.441. The void filled with bitumen (VFB) in the Marshall sample (in %\%) is ___________
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    A student riding a bicycle on a 5 km5\text{ km} one-way street takes 40 minutes40\text{ minutes} to reach home. The student stopped for 15 minutes15\text{ minutes} during this ride. 60 vehicles60\text{ vehicles} overtook the student (assume the number of vehicles overtaken by the student is zero) during the ride and 45 vehicles45\text{ vehicles} while the student stopped. The speed of vehicle stream on that road (in km/hr) is
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    On a section of a highway the speed-density relationship is linear and is given by v=[80−23k]v = [80 - \frac{2}{3}k]; where vv is in km/h and kk is in veh/km. The capacity (in veh/h) of this section of the highway would be
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    A pre-timed 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 all 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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    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 ∠QPR\angle QPR is measured to be 61o30′30"61^o 30' 30". If the stadia multiplication constant = 100 and stadia addition constant = 0.10 m, the horizontal distance (in m) between the points Q and R is _________________
    Diagram showing points P, Q, and R forming a triangle with P as the vertex where the tacheometer is placed.
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    The chainage of the intersection point of two straights is 1585.60 m1585.60\text{ m} and the angle of intersection is 140∘140^\circ. If the radius of a circular curve is 600.00 m600.00\text{ m}, the tangent distance (in m) and length of the curve (in m), respectively are
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