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GATE CE 2017 Set 2

All 65 solved GATE CE 2017 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 27Medium 36Hard 2

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65 of 65 questions

General Aptitude (GA)

10
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    Question

    The event would have been successful if you ________ able to come.
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    Question

    There was no doubt that their work was thorough.
    Which of the words below is closest in meaning to the underlined word above?
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    Question

    Four cards lie on a table. Each card has a number printed on one side and a colour on the other. The faces visible on the cards are 2, 3, red, and blue.
    Proposition: If a card has an even value on one side, then its opposite face is red.
    The cards which MUST be turned over to verify the above proposition are
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    Question

    What is the value of xx when 81×(1625)x+2÷(35)2x+4=14481 \times \left(\frac{16}{25}\right)^{x+2} \div \left(\frac{3}{5}\right)^{2x+4} = 144 ?
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    Question

    Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is
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    Question

    Bhaichung was observing the pattern of people entering and leaving a car service centre. There was a single window where customers were being served. He saw that people inevitably came out of the centre in the order that they went in. However, the time they spent inside seemed to vary a lot: some people came out in a matter of minutes while for others it took much longer.
    From this, what can one conclude?
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    Question

    A map shows the elevations of Darjeeling, Gangtok, Kalimpong, Pelling, and Siliguri. Kalimpong is at a lower elevation than Gangtok. Pelling is at a lower elevation than Gangtok. Pelling is at a higher elevation than Siliguri. Darjeeling is at a higher elevation than Gangtok.
    Which of the following statements can be inferred from the paragraph above?
    i. Pelling is at a higher elevation than Kalimpong
    ii. Kalimpong is at a lower elevation than Darjeeling
    iii. Kalimpong is at a higher elevation than Siliguri
    iv. Siliguri is at a lower elevation than Gangtok
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    Question

    P, Q, R, S, T and U are seated around a circular table. R is seated two places to the right of Q. P is seated three places to the left of R. S is seated opposite U. If P and U now switch seats, which of the following must necessarily be true?
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    Question

    Budhan covers a distance of 19 km in 2 hours by cycling one fourth of the time and walking the rest. The next day he cycles (at the same speed as before) for half the time and walks the rest (at the same speed as before) and covers 26 km in 2 hours. The speed in km/h at which Budhan walks is
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    Question

    The points in the graph below represent the halts of a lift for durations of 1 minute, over a period of 1 hour.
    A scatter plot showing Floor Number on the y-axis (0 to 5) and Time in minutes on the x-axis (0 to 60).
    Which of the following statements are correct?
    i. The elevator never moves directly from any non-ground floor to another non-ground floor over the one hour period
    ii. The elevator stays on the fourth floor for the longest duration over the one hour period
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Civil Engineering

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    Question

    Consider the following simultaneous equations (with c1c_1 and c2c_2 being constants):3x1+2x2=c13 x_1 + 2 x_2 = c_1
    4x1+x2=c24 x_1 + x_2 = c_2The characteristic equation for these simultaneous equations is
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    Question

    Let w=f(x,y)w = f(x, y), where xx and yy are functions of tt. Then, according to the chain rule, dwdt\frac{dw}{dt} is equal to
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    Question

    Given that the scope of the construction work is well-defined with all its drawings, specifications, quantities and estimates, which one of the following types of contract would be most preferred?
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    Question

    Let GG be the specific gravity of soil solids, ww the water content in the soil sample, γw\gamma_w the unit weight of water, and γd\gamma_d the dry unit weight of the soil. The equation for the zero air voids line in a compaction test plot is
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    Question

    Consider the following statements related to the pore pressure parameters, AA and BB:
    P. AA always lies between 0 and 1.0
    Q. AA can be less than 0 or greater than 1.0
    R. BB always lies between 0 and 1.0
    S. BB can be less than 0 or greater than 1.0
    For these statements, which one of the following options is correct?
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    Question

    Consider a rigid retaining wall with partially submerged cohesionless backfill with a surcharge. Which one of the following diagrams closely represents the Rankine's active earth pressure distribution against this wall?
    1. A.
      Earth pressure diagram A
    2. B.
      Earth pressure diagram B
    3. C.
      Earth pressure diagram C
    4. D.
      Earth pressure diagram D

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    Question

    If a centrifugal pump has an impeller speed of NN (in rpm), discharge QQ (in m3/sm^3/s) and the total head HH (in m), the expression for the specific speed NsN_s of the pump is given by
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    Question

    As per Noise Pollution (Regulation and Control) Rules 2000 of India, the day time noise limit for a residential zone, expressed in dB(A) LeqL_{eq}, is
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    Question

    Following observations have been made for the elevation and temperature to ascertain the stability of the atmosphere:
    Elevation (in m)Temperature (in ∘^\circ C)
    1015.5
    6015.0
    13014.3
    The atmosphere is classified as
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    Question

    The most important type of species involved in the degradation of organic matter in the case of activated sludge process is
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    Question

    For a broad gauge railway track on a horizontal curve of radius RR (in m), the equilibrium cant ee required for a train moving at a speed of VV (in km per hour) is
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    Question

    The safety within a roundabout and the efficiency of a roundabout can be increased, respectively, by
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    Question

    The method of orientation used, when the plane table occupies a position not yet located on the map, is called as
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    Question

    Consider the frame shown in the figure:
    A two-story, single-bay rigid frame with pinned supports at the base.
    If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to
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    Question

    Let the characteristic strength be defined as that value, below which not more than 50% of the results are expected to fall. Assuming a standard deviation of 4 MPa, the target mean strength (in MPa) to be considered in the mix design of a M25 concrete would be
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    Question

    In a material under a state of plane strain, a 10×1010 \times 10 mm square centered at a point gets deformed as shown in the figure.
    A square deforming into a rhombus in the x-y plane. The angle at the origin is labeled as $\frac{\pi}{2} + 0.0005$ rad. A horizontal displacement of $0.004$ mm is indicated at the bottom right corner.
    If the shear strain γxy\gamma_{xy} at this point is expressed as 0.001k0.001k (in rad), the value of kk is
    1. A.
      0.50
    2. B.
      0.25
    3. C.
      -0.25
    4. D.
      -0.50

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    Question

    The plate load test was conducted on a clayey strata by using a plate of 0.3 m×0.3 m0.3\text{ m} \times 0.3\text{ m} dimensions, and the ultimate load per unit area for the plate was found to be 180 kPa180\text{ kPa}. The ultimate bearing capacity (in kPa) of a 2 m2\text{ m} wide square footing would be
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    Question

    For a construction project, the mean and standard deviation of the completion time are 200 days and 6.1 days, respectively. Assume normal distribution and use the value of standard normal deviate z=1.64z = 1.64 for the 95% confidence level. The maximum time required (in days) for the completion of the project would be ______________
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    Question

    The divergence of the vector field V=x2i+2y3j+z4kV = x^2 i + 2 y^3 j + z^4 k at x=1,y=2,z=3x = 1, y = 2, z = 3 is ___________
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    Question

    A two-faced fair coin has its faces designated as head (H) and tail (T). This coin is tossed three times in succession to record the following outcomes: H, H, H. If the coin is tossed one more time, the probability (up to one decimal place) of obtaining H again, given the previous realizations of H, H and H, would be ________________
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    Question

    A sheet pile has an embedment depth of 12 m12 \text{ m} in a homogeneous soil stratum. The coefficient of permeability of soil is 10−6 m/s10^{-6} \text{ m/s}. Difference in the water levels between the two sides of the sheet pile is 4 m4 \text{ m}. The flow net is constructed with five number of flow lines and eleven number of equipotential lines. The quantity of seepage (in cm3/s\text{cm}^3/\text{s} per m, up to one decimal place) under the sheet pile is ________________
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    Question

    The VPI (vertical point of intersection) is 100 m100\text{ m} away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical curve is parabolic, the length of the curve (in meters and measured along the horizontal) is ___________
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    Question

    During a storm event in a certain period, the rainfall intensity is 3.5 cm/hour3.5\text{ cm/hour} and the Φ\Phi-index is 1.5 cm/hour1.5\text{ cm/hour}. The intensity of effective rainfall (in cm/hour, up to one decimal place) for this period is __________
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    Question

    The infiltration capacity of a soil follows the Horton's exponential model, f=c1+c2e−ktf = c_1 + c_2 e^{-kt}. During an experiment, the initial infiltration capacity was observed to be 200 mm/h200\text{ mm/h}. After a long time, the infiltration capacity was reduced to 25 mm/h25\text{ mm/h}. If the infiltration capacity after 1 hour1\text{ hour} was 90 mm/h90\text{ mm/h}, the value of the decay rate constant, kk (in h−1\text{h}^{-1}, up to two decimal places) is ___________
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    Question

    While aligning a hill road with a ruling gradient of 6%, a horizontal curve of radius 50 m is encountered. The grade compensation (in percentage, up to two decimal places) to be provided for this case would be ___________
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    The tangent to the curve represented by y=xln⁡xy = x \ln x is required to have 45∘45^\circ inclination with the xx-axis. The coordinates of the tangent point would be
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    Question

    Consider the following definite integral:I=∫01(sin⁡−1x)21−x2dxI = \int_{0}^{1} \frac{(\sin^{-1} x)^2}{\sqrt{1-x^2}} dxThe value of the integral is
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    Question

    If A=[1562]A = \begin{bmatrix} 1 & 5 \\ 6 & 2 \end{bmatrix} and B=[3784]B = \begin{bmatrix} 3 & 7 \\ 8 & 4 \end{bmatrix}, ABTAB^T is equal to
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    Question

    Consider the following second-order differential equation:y′′−4y′+3y=2t−3t2y'' - 4y' + 3y = 2t - 3t^2The particular solution of the differential equation is
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    Question

    Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of these properties.
    Group IGroup II
    P. Le Chatelier test1. Soundness of OPC
    Q. Vee-Bee test2. Consistency and setting time of OPC
    R. Blaine air permeability test3. Consistency or workability of concrete
    S. The Vicat apparatus4. Fineness of OPC
    The correct match of the items in Group I with the items in Group II is
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    Question

    Two prismatic beams having the same flexural rigidity of 1000 kN-m21000\text{ kN-m}^2 are shown in the figures.
    Two simply supported beams. Beam 1 has a span of $4\text{ m}$ and a UDL of $6\text{ kN/m}$. Beam 2 has a span of $2\text{ m}$ and a central point load of $120\text{ kN}$.
    If the mid-span deflections of these beams are denoted by δ1\delta_1 and δ2\delta_2 (as indicated in the figures), the correct option is
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    Question

    Consider the three prismatic beams with the clamped supports PP, QQ, and RR as shown in the figures.
    Three cantilever beams. Beam P has an $80\text{ N}$ point load at the free end. Beam Q has a $20\text{ N/m}$ UDL. Beam R has a $640\text{ N}\cdot\text{m}$ concentrated moment at the free end. All beams are $8\text{ m}$ long.
    Given that the modulus of elasticity, EE is 2.5×104 MPa2.5 \times 10^4\text{ MPa}; and the moment of inertia, II is 8×108 mm48 \times 10^8\text{ mm}^4, the correct comparison of the magnitudes of the shear force SS and the bending moment MM developed at the supports is
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    Question

    Consider the following statements:
    P. Walls of one brick thick are measured in square meters.
    Q. Walls of one brick thick are measured in cubic meters.
    R. No deduction in the brickwork quantity is made for openings in walls up to 0.1 m20.1\text{ m}^2 area.
    S. For the measurement of excavation from the borrow pit in a fairly uniform ground, deadmen are left at suitable intervals.
    For the above statements, the correct option is
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    Question

    Two identical concrete piles having the plan dimensions 50 cm×50 cm50\text{ cm} \times 50\text{ cm} are driven into a homogeneous sandy layer as shown in the figures. Consider the bearing capacity factor NqN_q for ϕ=30∘\phi = 30^\circ as 24.
    Two diagrams showing piles in dry and saturated sand conditions
    If Qp1Q_{p1} and Qp2Q_{p2} represent the ultimate point bearing resistances of the piles under dry and submerged conditions, respectively, which one of the following statements is correct?
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    Question

    Following are the statements related to the stress paths in a triaxial testing of soils:
    P. If σ1=σ3\sigma_1 = \sigma_3, the stress point lies at the origin of the p−qp-q plot.
    Q. If σ1=σ3\sigma_1 = \sigma_3, the stress point lies on the pp-axis of the p−qp-q plot.
    R. If σ1>σ3\sigma_1 > \sigma_3, both the stress points pp and qq are positive.
    For the above statements, the correct combination is
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    Question

    Two cars P and Q are moving in a racing track continuously for two hours. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled dd (in km) and time tt (in hour) for both the vehicles are given as
    P: d=60td = 60 t
    Q: d=60t2d = 60 t^2Within the first one hour, the maximum space headway would be
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    Question

    For the construction of a highway, a cut is to be made as shown in the figure.
    Cross-section of a highway cut showing soil layers, water table at 2 m depth, and Point A at 4 m below the water table on a potential shear surface
    The soil exhibits c′=20 kPac' = 20\text{ kPa}, ϕ′=18∘\phi' = 18^\circ, and the undrained shear strength =80 kPa= 80\text{ kPa}. The unit weight of water is 9.81 kN/m39.81\text{ kN/m}^3. The unit weights of the soil above and below the ground water table are 1818 and 20 kN/m320\text{ kN/m}^3, respectively. If the shear stress at Point AA is 50 kPa50\text{ kPa}, the factors of safety against the shear failure at this point, considering the undrained and drained conditions, respectively, would be
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    Question

    Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.
    Vertical aerial photograph showing towers A and B with radial displacement from principal point p
    The length of the image of the tower A on the photograph is 1.5 cm and of the tower B is 2.0 cm. The distance of the top of the tower A (as shown by the arrowhead) is 4.0 cm and the distance of the top of the tower B is 6.0 cm, as measured from the principal point pp of the photograph. If the height of the tower B is 80 m, the height (in meters) of the tower A is
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    Question

    A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is
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    Question

    A simply supported rectangular concrete beam of span 8 m8\text{ m} has to be prestressed with a force of 1600 kN1600\text{ kN}. The tendon is of parabolic profile having zero eccentricity at the supports. The beam has to carry an external uniformly distributed load of intensity 30 kN/m30\text{ kN/m}. Neglecting the self-weight of the beam, the maximum dip (in meters, up to two decimal places) of the tendon at the mid-span to balance the external load should be __________
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    Question

    Two plates of 8 mm8\text{ mm} thickness each are connected by a fillet weld of 6 mm6\text{ mm} thickness as shown in the figure.
    Fillet weld connection diagram showing a 50 mm wide plate welded to a 100 mm wide plate with a 100 mm overlap
    The permissible stresses in the plate and the weld are 150 MPa150\text{ MPa} and 110 MPa110\text{ MPa}, respectively. Assuming the length of the weld shown in the figure to be the effective length, the permissible load PP (in kN) is __________
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    Question

    Consider the portal frame shown in the figure and assume the modulus of elasticity, E=2.5×104 MPaE = 2.5 \times 10^4\text{ MPa} and the moment of inertia, I=8×108 mm4I = 8 \times 10^8\text{ mm}^4 for all the members of the frame.
    Portal frame with a horizontal point load of 200 kN at P and a horizontal UDL of 165 kN/m on segment PQ
    The rotation (in degrees, up to one decimal place) at the rigid joint QQ would be __________
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    Question

    A 2 m2\text{ m} long, axially loaded mild steel rod of 8 mm8\text{ mm} diameter exhibits the load-displacement (PP-δ\delta) behavior as shown in the figure.
    Axial Load vs Displacement graph
    Assume the yield stress of steel as 250 MPa250\text{ MPa}. The complementary strain energy (in N-mm) stored in the bar up to its linear elastic behavior will be ____________

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    Question

    Consider a square-shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of P=5000P = 5000 kN are applied on this area, one at each corner.
    Square area ABCD with side 4m, center M, and point loads P at corners A, B, C, D
    The vertical stress increment (in kPa, up to one decimal place) due to these loads according to Boussinesq's equation, at a point 5 m right below M, is ___________
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    Question

    The figure shows a U-tube having a 5 mm×5 mm5\text{ mm} \times 5\text{ mm} square cross-section filled with mercury (specific gravity =13.6= 13.6) up to a height of 20 cm20\text{ cm} in each limb (open to the atmosphere).
    U-tube filled with mercury
    If 5 cm35\text{ cm}^3 of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be ____________
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    Question

    A 1 m wide rectangular channel carries a discharge of 2 m3/s2\text{ m}^3/\text{s}. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponding to a particular specific energy, the subcritical depth is twice the supercritical depth. The subcritical depth (in meters, up to two decimal places) is equal to _______________
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    Question

    A catchment is idealized as a 25 km×25 km25\text{ km} \times 25\text{ km} square. It has five rain gauges, one at each corner and one at the center, as shown in the figure.
    Square catchment with five rain gauges $G_1$ to $G_5$
    During a month, the precipitation at these gauges is measured as G1=300 mmG_1 = 300\text{ mm}, G2=285 mmG_2 = 285\text{ mm}, G3=272 mmG_3 = 272\text{ mm}, G4=290 mmG_4 = 290\text{ mm} and G5=288 mmG_5 = 288\text{ mm}. The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is _______________
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    Question

    The culturable command area of a canal is 10,000 ha10,000\text{ ha}. The area grows only two crops—rice in the Kharif season and wheat in the Rabi season. The design discharge of the canal is based on the rice requirements, which has an irrigated area of 2500 ha2500\text{ ha}, base period of 150 days150\text{ days} and delta of 130 cm130\text{ cm}. The maximum permissible irrigated area (in ha) for wheat, with a base period of 120 days120\text{ days} and delta of 50 cm50\text{ cm}, is _______________
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    Water is pumped at a steady uniform flow rate of 0.01 m3/s0.01\text{ m}^3/\text{s} through a horizontal smooth circular pipe of 100 mm100\text{ mm} diameter. Given that the Reynolds number is 800800 and gg is 9.81 m/s29.81\text{ m}/\text{s}^2, the head loss (in meters, up to one decimal place) per km length due to friction would be ___________
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    Question

    The composition of a municipal solid waste sample is given below:
    ComponentPercent by MassMoisture Content (%)Energy Content (kJ/kg, on as-discarded basis)
    Food Waste20702500
    Paper10410000
    Cardboard1048000
    Plastics10114000
    Garden Trimmings40603500
    Wood52014000
    Tin Cans52100
    The difference between the energy content of the waste sample calculated on dry basis and as-discarded basis (in kJ/kg) would be ___________
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    Question

    For a given water sample, the ratio between BOD5-day, 20∘C\text{BOD}_{5\text{-day, } 20^\circ\text{C}} and the ultimate BOD is 0.680.68. The value of the reaction rate constant kk (on base ee) (in day−1\text{day}^{-1}, up to two decimal places) is _______________
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    A municipal corporation is required to treat 1000 m3/day1000\text{ m}^3/\text{day} of water. It is found that an overflow rate of 20 m/day20\text{ m}/\text{day} will produce a satisfactory removal of the discrete suspended particles at a depth of 3 m3\text{ m}. The diameter (in meters, rounded to the nearest integer) of a circular settling tank designed for the removal of these particles would be __________.
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    Question

    The analysis of a water sample produces the following results:
    Ionmilligram per milli-equivalent for the ionConcentration (mg/L)
    Ca2+\text{Ca}^{2+}20.060
    Mg2+\text{Mg}^{2+}12.236.6
    Na+\text{Na}^+23.092
    K+\text{K}^+39.178.2
    Cl−\text{Cl}^-35.571
    SO42−\text{SO}_4^{2-}48.072
    HCO3−\text{HCO}_3^-61.0122
    The total hardness (in mg/L as CaCO3\text{CaCO}_3) of the water sample is __________.
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    Question

    The radii of relative stiffness of the rigid pavements P and Q are denoted by lPl_P and lQl_Q, respectively. The geometric and material properties of the concrete slab and underlying soil are given below:
    PavementConcrete: Length of SlabConcrete: Breadth of SlabConcrete: Thickness of SlabConcrete: Modulus of ElasticityConcrete: Poisson's RatioSoil: Subgrade Reaction Modulus
    PLLBBhhEEμ\muKK
    QLLBB0.5h0.5hEEμ\mu2K2K
    The ratio (up to one decimal place) of lP/lQl_P/l_Q is __________.
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    An observer standing on the deck of a ship just sees the top of a lighthouse. The top of the lighthouse is 40 m above the sea level and the height of the observer's eye is 5 m above the sea level. The distance (in km, up to one decimal place) of the observer from the lighthouse is ___________
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