Practice Test: Gate Civil Engineering(CE) 2016 Paper - GATE

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is __________.

If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?

Q. 6 – Q. 10 carry two marks each.

A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.

Which product contributes the greatest fraction to the revenue of the company in that year?

Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is.

Which of the following can be logically inferred from the above sentences?

Consider the following statements relating to the level of poker play of four players P, Q, R and S.

I.    P always beats Q
II.   R always beats S
III.  S loses to P only sometimes
IV.  R always loses to Q

Which of the following can be logically inferred from the above statements?

(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set

If f(x) = 2x⁷+3x−5, which of the following is a factor of f(x)?

In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is ________.

The number of simultaneous equations to be solved in the slope deflection method, is equal to :

The type of partial differential equation 

If the entries in each column of a square matrix M add up to 1, then an eigenvalue of M is

Type II error in hypothesis testing is

The number of revolutions of a current meter in 50 seconds were found to be 12 and 30 corresponding to the velocities of 0.25 and 0.46 m/s respectively. What velocity (in m/s) would be indicated by 50 revolutions of that current meter in one minute ?

Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be H_B and V_B, respectively and V_C be the vertical reaction at the joint C.

Which one of the following sets gives the correct values of V_B, H_B and V_C?

In shear design of an RC beam, other than the allowable shear strength of concrete ( τ_c), there is also an additional check suggested in IS 456-2000 with respect to the maximum permissible shear stress ( τ_cmax) . The check for τ_cmax is required to take care of

The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of 500 cm³, 650 cm3 and 200 MPa, respectively. The design flexural capacity (expressed in kNm) of the section is _________

Bull's trench kiln is used in the manufacturing of

The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is

In the consolidated undrained trixal test on a saturated soil sample, the pore water pressure is zero

A fine grained soil is found to be plastic in the water content range of 26-48%. As per Indian standard classificatin system, the soil is classified as

A vertical cut is to be made in a soil mass having cohesion c, angle of internal friction φ, and unit wieght γ, considering k_o and k_p as the coefficients of active and passive earth pressure, respectively, the maximum depth of unsupported excavation is

The direct runoff hydrograph in response to 5cm rainfall excess in a catchment is shown in the figure. The area of the catchment (expressed in hectares) is ____________

The type of flood routing (Group I) and the equation(s) used for the purpose (Group II) are given below.

The correct match is 

The pre-jump Froude number for a particular flow in a horizontal rectangular channel is 10. The ratio of sequent depths (i.e., post-jump depth to pre-jump depth) is ____________

Pre-cursors to photochemical oxidants are

Crown corrosion in a reinforced concrete sewer is caused by:

It was decided to construct a fabric filter, using bags of 0.45 m diameter and 7.5 m long, for removing industrial stack gas containing particulates. The expected rate of airflow into the filter is 10 m3/s. If the filtering velocity is 2.0 m/min, the minimum number of bags (rounded to nearest higher integer) required for continuous cleaning operation is

Match the items in Group – I with those in Group – II and choose the right combination.

During a forensic investigation of pavement failure, an engineer reconstructed the graphs P, Q, R and S, using partial and damaged old reports.

Theoretically plausible correct graphs according to the 'Marshall mixture design output' are

In a one-lane one-way homogeneous traffic stream, the observed average headway is 3.0 s. The flow (expressed in vehicles/hr) in this traffic stream is________

Some of the structural strength of a clayey material that is lost by remoulding is slowly recovered with time. This property of soils to undergo an isothermal gel-to-soil-to-gel transformation upon agitation and subsequent rest is termed :

The system that uses the Sun as a source of electromagnetic energy and records the naturally radiated and reflected energy from the object is called

The staff reading taken on a workshop floor using a level is 0.645 m. The inverted staff reading taken to the bottom of a beam is 2.960 m. The reduced level of the floor is 40.500 m. The reduced level (expressed in m) of the bottom of the beam is

Q. 36 – Q. 65 carry two marks each

Probability density function of a random variable X is given below

P(X ≤ 4) is

The value of  

The area of the region bounded by the parabola y= x²+ 1 and the straight line x+y=3 is

The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as shown in the figure.

The respective values of the magnitude (in kN) and the direction (with respect to the x-axis) of the resultant vector are

At a rated capacity of 44 Cumecs, a centrifugal pump develops 36 m of head when operating at 1450 rpm. Its specific speed is :

A 3 m long simply supported beam of uniform cross section is subjected to a uniformly distributed load of w = 20 kN/m in the central 1 m as shown in the figure.

If the flexural rigidity (EI) of the beam is 30 x 106 N-m², the maximum slope (expressed in radians) of the deformed beam is

Two beams PQ (fixed at P and with a roller support at Q, as shown in Figure I, which allows vertical movement) and XZ (with a hinge at Y) are shown in the Figures I and II respectively. The spans of PQ and XZ are L and 2L respectively. Both the beams are under the action of uniformly distributed load (W) and have the same flexural stiffness, EI (where, E and I respectively denote modulus of elasticity and moment of inertia about axis of bending). Let the maximum deflection and maximum rotation be δ_max1 and θ_max1, respectively, in the case of beam PQ and the corresponding quantities for the beam XZ be δ_max2 and θ_max2, respectively.

Which one of the following relationships is true?

A plane truss with applied loads is shown in the figure.

The members which do not carry any force are

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Selfweight of the member may be ignored.

Which one of the following sets gives the correct magnitudes of R_Av, R_Bh and R_Ah ?

A reinforced concrete (RC) beam with width of 250 mm and effective depth of 400 mm is reinforced with Fe415 steel. As per the provisions of IS 456-2000, the minimum and maximum amount of tensile reinforcement (expressed in mm²) for the section are, respectively

For M25 concrete with creep coefficient of 1.5, the long-term static modulus of elasticity (expressed in MPa) as per the provisions of IS:456-2000 is ________ 

A propped cantilever of span L carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is M_p, the magnitude of the collapse load is

Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. 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 (γ_mw = 1.25).

As per the Limit State Method of IS 800: 2007, the minimum length (rounded off to the nearest higher multiple of 5 mm) of each weld to transmit a force P equal to 270 kN (factored) is

The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O-M-P.

The expected completion time (in days) of the project is _________

The porosity (n) and the degree of saturation (S) of a soil sample are 0.7 and 40%, respectively. In a 100 m³ volume of the soil, the volume (expressed in m³) of air is _________

A homogeneous gravity retaining wall supporting a cohesionless backfill is shown in the figure. The lateral active earth pressure at the bottom of the wall is 40 kPa.

The minimum weight of the wall (expressed in kN per m length) required to prevent it from overturning about its toe (Point P) is

An undisturbed soil sample was taken from the middle of a clay layer (i.e., 1.5 m below GL), as shown in figure. The water table was at the top of clay layer. Laboratory test results are as follows:

A compacted fill of 2.5 m height with unit weight of 20 kN/m³ is placed at the ground level.

Assuming unit weight of water as10 kN/m³, the ultimate consolidation settlement (expressed in mm) of the clay layer is ____________

A seepage flow condition is shown in the figure. The saturated unit weight of the soil γ_sat = 18 kN/m³. Using unit weight of water, γ_w = 9.81 kN/m³, the effective vertical stress (expressed in kN/m²) on plane X-X is ________

A drained triaxial compression test on a saturated clay yielded the effective shear strength parameters as c' = 15 kPa and φ' = 22°. Consolidated Undrained triaxial test on an identical sample of this clay at a cell pressure of 200 kPa developed a pore water pressure of 150 kPa at failure. The deviator stress (expressed in kPa) at failure is _________

A concrete gravity dam section is shown in the figure. Assuming unit weight of water as 10 kN/m³ and unit weight of concrete as 24 kN/m³, the uplift force per unit length of the dam (expressed in kN/m) at PQ is _________

Seepage is occurring through a porous media shown in the figure. The hydraulic conductivity values (k₁, k₂, k₃) are in m/day.

The seepage discharge (m³/day per m) through the porous media at section PQ is

A 4 m wide rectangular channel, having bed slope of 0.001 carries a discharge of 16 m³/s. Considering Manning's roughness coefficient = 0.012 and g = 10 m/s², the category of the channel slope is

A sector gate is provided on a spillway as shown in the figure. Assuming g = 10 m/s², the resultant force per meter length (expressed in kN/m) on the gate will be __________

A hydraulically efficient trapezoidal channel section has a uniform flow depth of 2 m. The bed width (expressed in m) of the channel is __________

Effluent from an industry 'A' has a pH of 4.2. The effluent from another industry 'B' has double the hydroxyl (OH^-) ion concentration than the effluent from industry 'A'. pH of effluent from the industry 'B' will be __________

An electrostatic precipitator (ESP) with 5600 m² of collector plate area is 96 percent efficient in treating 185 m³/s of flue gas from a 200 MW thermal power plant. It was found that in order to achieve 97 percent efficiency, the collector plate area should be 6100 m². In order to increase the efficiency to 99 percent, the ESP collector plate area (expressed in m²) would be ______

The 2-day and 4-day BOD values of a sewage sample are 100 mg/L and 155 mg/L, respectively. The value of BOD rate constant (expressed in per day) is _________

A two lane, one-way road with radius of 50 m is predominantly carrying lorries with wheelbase of 5 m. The speed of lorries is restricted to be between 60 kmph and 80 kmph. The mechanical widening and psychological widening required at 60 kmph are designated as w_me,60 and w_ps,60, respectively. The mechanical widening and psychological widening required at 80 kmph are designated as w_me,80 and w_ps,80, respectively. The correct values of w_me,60, w_ps ,60, w_me,80, w_ps,80, respectively are

While traveling along and against the traffic stream, a moving observer measured the relative flows as 50 vehicles/hr and 200 vehicles/hr, respectively. The average speeds of the moving observer while traveling along and against the stream are 20 km/hr and 30 km/hr, respectively. The density of the traffic stream (expressed in vehicles/km) is _________

The vertical angles subtended by the top of a tower T at two instrument stations set up at P and Q, are shown in the figure. The two stations are in line with the tower and spaced at a distance of 60 m. Readings taken from these two stations on a leveling staff placed at the benchmark (BM = 450.000 m) are also shown in the figure. The reduced level of the top of the tower T (expressed in m) is _________