Practice Test: Gate Civil Engineering(CE) 2015 Paper - GATE

If ROAD is written as URDG, the SWAN should be written as:

A function f(x) is linear and has a value of 29 at x= -2 and 39 at x=3. Find its value at x=5.

Q. 6 – Q. 10 carry Two mark each.

Alexender turned his attetion towrds India, since he had conquered Persia.

Which one of the statements below is logically valid and can be inferred from the above sentence?
 

Most experts feel that in spite of possessing all the technical skills required to be a batsman of the highest order, he is unlikely to be so due to lack of requisite temperament. he was guilty of throwing away his wicket several times after working hard to lay a strong foundation. His critics pointed out that until he addressed this problem, success at the highest level will contiunue to elude him. 

Which of the statements(s) below is/are logically valid and can be inferred from the above passage?

i. He was already a successful batsman at the highest level.

ii. He has to improve his temperament in order to became a great batsman.

iii. he failed to make many of his good starts count. 

iv. Improving his technical skills will gurantee success.

The exporst and imports (in crores of Rs.) of a country from the year 2000 to 2007 are given in the following bar chart. In which year is the combined percentage icncrease in impoerts and exports the highest?

Choose the most appropriate equation for the function drwan as a thick line, in the plot below.

The head of anewly formed government desires to appoint five of the six selected members P,Q,R,S,T and U to portfolios of Home, Power, Defense, Telecom, and Finance. U does not want any portfolio if S gets one of the feive. R wants either Home or Finance or no portfolio. Q says that if S gets either Power or Telecom, then she must get the other one. T insists on a portfolio if P gets one.

Which is the valid distribution of portfolios?

Q. 11 – Q. 35 carry one mark each. 

For what value of p the following set of equations will have no solution?
2x + 3y = 5
3x + py = 10

The integral  with x₂ >x₁ > 0 is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If I is the exact value of the integral obtained analytically and J is the approximate value obtained using the trapezoidal rule, which of the following statements is correct about their relationship?

Consider the following probability mass function (p.m.f.) of a random variable X: If q = 0.4, the variance of X is _______________.

Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete:

(i) As the slump increases, the Vebe time increases
(ii) As the slump increases, the compaction factor increases

Which of the following is TRUE?

Consider the following statements for air-entrained concrete:

(i) Air-entrainment reduces the water demand for a given level of workability
(ii) Use of air-entrained concrete is required in environments where cyclic freezing and thawing is expected

Which of the following is TRUE?

Consider the singly reinforced beam shown in the figure below:

At cross-section XX, which of the following statements is TRUE at the limit state?

For the beam shown below, the stiffness coefficient K₂₂ can be written as

The development length of a deformed reinforcement bar can be expressed as From the IS:456-2000, the value of K can be calculated as _______________.

For the beam shown below, the value of the support moment M is _______________ kN-m.

Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, σn is _______________ MPa.

A fine grained soil has 60%(by weight) silt content. The soil behaves as semi-solid when water content is between 15% and 28%. The soil behaves fluid-like when the water content is more than 40%. The activity of the soil is

Which of the following statements is TRUE for the relation between discharge velocity and seepage velocity?

Which of the following statements is TRUE for degree of disturbance of collected soil sample?

In an unconsolidated undrained triaxial test, it is observed that an increase in cell pressure from 150 kPa to 250 kPa leads to a pore pressure increase of 80 kPa. It is further observed that, an increase of 50 kPa in deviatoric stress results in an increase of 25 kPa in the pore pressure. The value of Skempton’s pore pressure parameter B is:

Which of the following statements is NOT correct?

In a two-dimensional steady flow field, in a certain region of the x-y plane, the velocity component in the x-direction is given by v_x = x² and the density varies as ρ = 1/x . Which of the following is a valid expression for the velocity component in the y-direction, v_y?

For steady incompressible flow through a closed-conduit of uniform cross-section, the direction of flow will always be:

A circular pipe has a diameter of 1 m, bed slope of 1 in 1000, and Manning’s roughness coefficient equal to 0.01. It may be treated as an open channel flow when it is flowing just full, i.e., the water level just touches the crest. The discharge in this condition is denoted by Q_full. Similarly, the discharge when the pipe is flowing half-full, i.e., with a flow depth of 0.5 m, is denoted by Q_half. The ratio Q_full / Q_half is:

The two columns below show some parameters and their possible values.

Which of the following options matches the parameters and the values correctly?

Total Kjeldahl Nitrogen (TKN) concentration (mg/L as N) in domestic sewage is the sum of the concentrations of:

Solid waste generated from an industry contains only two components, X and Y as shown in the
table below
Component                        Composition                    Density
                                           (% weight)                     (kg/m³)      
    X                                          c1                               ρ1
    Y                                          c2                               ρ2                                 
                                     
Assuming (c₁ + c₂) = 100, the composite density of the solid waste ( ρ is given by:

The penetration value of a bitumen sample tested at 25°C is 80. When this sample is heated to 60°C and tested again, the needle of the penetration test apparatus penetrates the bitumen sample by d mm. The value of d CANNOT be less than _______________ mm.

Which of the following statements CANNOT be used to describe free flow speed (u_f) of a traffic stream?

Which of the following statements is FALSE?

In a closed loop traverse of 1 km total length, the closing errors in departure and latitude are 0.3 m and 0.4 m, respectively. The relative precision of this traverse will be:

Q. 36 – Q. 65 carry two marks each.

The smallest and largest Eigen values of the following matrix are:

The quadratic equation x² − 4x + 4 = 0 is to be solved numerically, starting with the initial guess x_o = 3. The Newton-Raphson method is applied once to get a new estimate and then the Secant method is applied once using the initial guess and this new estimate. The estimated value of the root after the application of the Secant method is _______________.

Consider the following differential equation:

Which of the following is the solution of the above equation (c is an arbitrary constant)?

Consider the following complex function:

Which of the following is one of the residues of the above function?

The directional derivative of the field u(x, y, z) = x² − 3yz in the direction of the vector  at point (2, −1, 4) is _______________.

A bracket plate connected to a column flange transmits a load of 100 kN as shown in the following figure. The maximum force for which the bolts should be designed is _______________ kN.

The composition of an air-entrained concrete is given below:

Assume the specific gravity of OPC, sand and coarse aggregate to be 3.14, 2.67 and 2.74, respectively. The air content is _______________ liters/ m³

Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from IS:456-2000 are also given below (right figure). The moment of resistance for the given section by the limit state method is _______________ kN-m.

For formation of collapse mechanism in the following figure, the minimum value of Pu is _cM_p/L. M_p and 3M_p denote the plastic moment capacities of beam sections as shown in this figure. The value of c is _______________.

A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform circular rod of diameter 10 mm as shown in the following figure. Both bars are made of same material with the modulus of elasticity, E = 2x10⁵ MPa. When subjected to a load P = 30π kN, the deflection at point A is _______________ mm.

Two beams are connected by a linear spring as shown in the following figure. For a load P as shown in the figure, the percentage of the applied load P carried by the spring is _______________.

For the 2D truss with the applied loads shown below, the strain energy in the member XY is _______________ kN-m. For member XY, assume AE = 30 kN, where A is cross-section area and E is the modulus of elasticity.

An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is 5000 m3 and the target dry unit weight is 16.2 kN/m³. Three nearby sites (see figure below) have been identified from where the required soil can be transported to the construction site. The void ratios (e) of different sites are shown in the figure. Assume the specific gravity of soil to be 2.7 for all three sites. If the cost of transportation per km is twice the cost of excavation per m³ of borrow pits, which site would you choose as the most economic solution? (Use unit weight of water = 10 kN/m³)

A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter 3 m and depth of embedment 1 m has been designed to support the tank. The total vertical load to be taken by the footing is 1500 kN. Assume the unit weight of water as 10 kN/m³ and the load dispersion pattern as 2V:1H. The expected settlement of the tank due to primary consolidation of the clay layer is _______________ mm.

A 20 m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences 30 mm settlement in 2 years.

Given:

where Tv is the time factor and U is the degree of consolidation in %.

If the coefficient of consolidation of the layer is 0.003 cm²/s, the deposit will experience a total of 50 mm settlement in the next _______________ years.

A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.

A square footing (2 m x 2 m) is subjected to an inclined point load, P as shown in the figure below. The water table is located well below the base of the footing. Considering one-way eccentricity, the net safe load carrying capacity of the footing for a factor of safety of 3.0 is _______________ kN.

The following factors may be used:

Bearing capacity factors: N_q = 33.3, N_γ= 37.16 Shape factors: F_qs = F_γs = 1.314; Depth factors: F_qd = F_γd = 1.113; Inclination factors: F_qi = 0.444, F_γi = 0.02

Two reservoirs are connected through a 930 m long, 0.3 m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient = 0.5) and the valve is half-open (loss coefficient = 5.5). The head difference between the two reservoirs is 20 m. Assume the friction factor for the pipe as 0.03 and g =10 m/s². The discharge in the pipe accounting for all minor and major losses is _______________ m³/s.

A hydraulic jump is formed in a 2 m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are 0.8 m and 1 m/s, respectively. The pre-jump velocity is _______________ m/s. (use g = 10 m/s²)

A short reach of a 2 m wide rectangular open channel has its bed level rising in the direction of flow at a slope of 1 in 10000. It carries a discharge of 4 m³/s and its Manning’s roughness coefficient is 0.01. The flow in this reach is gradually varying. At a certain section in this reach, the depth of flow was measured as 0.5 m. The rate of change of the water depth with distance, dy/dx, at this section is _______________ (use g = 10 m/s²).

The drag force, FD, on a sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, ρ; and dynamic viscosity, μ. Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?

In a catchment, there are four rain-gauge stations, P, Q, R, and S. Normal annual precipitation values at these stations are 780 mm, 850 mm, 920 mm, and 980 mm, respectively. In the year 2013, stations Q, R, and S, were operative but P was not. Using the normal ratio method, the precipitation at station P for the year 2013 has been estimated as 860 mm. If the observed precipitation at stations Q and R for the year 2013 were 930 mm and 1010 mm, respectively; what was the observed precipitation (in mm) at station S for that year?

The 4-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S-curve (in m³/s) derived from this hydrograph?

The concentration of Sulfur Dioxide (SO₂) in ambient atmosphere was measured as 30 μg/m³. Under the same conditions, the above SO₂ concentration expressed in ppm is _______________.

Given: P/(RT) = 41.6mol/m³; where, P = Pressure; T = Temperature; R = universal gas constant; Molecular weight of SO₂ = 64.

Consider a primary sedimentation tank (PST) in a water treatment plant with Surface Overflow Rate (SOR) of 40 m³/m²/d. The diameter of the spherical particle which will have 90 percent theoretical removal efficiency in this tank is _______________ μm. Assume that settling velocity of the particles in water is described by Stokes’s Law.

Given: Density of water = 1000 kg/m³; Density of particle = 2650 kg/m³; g = 9.81 m/s²; Kinematic viscosity of water (v)= 1.10 x 10-6 m²/s

The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is,

where, v is the speed in m/s, t is the time in s, α and β are parameters, and v₀ is the initial speed in m/s. If the accelerating behavior of a vehicle, whose driver intends to overtake a slow moving vehicle ahead, is described as,

Considering  , distance (in m) travelled by
the vehicle in 35 s is ______________.

On a circular curve, the rate of superelevation is e. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards (in the radial direction). The coefficient of side friction is f. Which of the following is true:

A sign is required to be put up asking drivers to slow down to 30 km/h before entering Zone Y (see figure). On this road, vehicles require 174 m to slow down to 30 km/h (the distance of 174 m includes the distance travelled during the perception-reaction time of drivers). The sign can be read by 6/6 vision drivers from a distance of 48 m. The sign is placed at a distance of x m from the start of Zone Y so that even a 6/9 vision driver can slow down to 30 km/h before entering the zone. The minimum value of x is _______________ m.

In a survey work, three independent angles X, Y and Z were observed with weights W_X, W_Y, W_Z, respectively. The weight of the sum of angles X, Y and Z is given by:

In a region with magnetic declination of 2^oE, the magnetic Fore bearing (FB) of a line AB was measured as N79^o50' E. There was local attraction at A. To determine the correct magnetic bearing of the line, a point O was selected at which there was no local attraction. The magnetic FB of line AO and OA were observed to be S52^o40'E and N50^o20'W, respectively. What is the true FB of line AB?