Gate Mock Test Civil Engineering (CE)- 3 - Civil Engineering (CE)

If ⊕ and ⊙ are two operators on numbers p and q such that p ⊙ q = p - q, and p ⊕

q = p × q, then (9 ⊙(6 ⊕ 7)) ⊙ (7 ⊕ (6 ⊙ 5)) is

What is the value of ?

On a planar field, you traveled 3 units East from point O. Next you traveled 4 units South to arrive at point P. Then you traveled from P in the North-East direction such that you arrived at a point that is 6 units East of point O. Next, you traveled in the North-West direction so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be ______.

A, B and C borrow Rs. 29,200 in all at 4% simple interest and pay back equal amounts in full settlement of their respective debts after 5, 10 and 15 years, respectively. Find the sum borrowed by C.

1. Some football players play cricket.

2. All cricket players play hockey.

Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is

Answer these questions based on the pipeline diagram given:

The following sketch shows the pipelines carrying material from one location to another. Each location has a demand for material. The demand at B is 800, at C is 800, at D is 1400, and at E is 400. Each arrow indicates the direction of material flow through the pipeline. The flow from B to C is 600. The quantity of material flow is such that the demands at all these location are exactly met. The capacity of each pipeline is 2000.

The quantity moved from A to E is _____.

In an equivalent triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer.

The minimum possible area of the triangle PQR, in cm², is

For the differential equation with y(0) = 1, the general solution is

Which of the following statements are the advantages of surface vibrators?

Surface vibrators are best suited

1. for one way reinforced slabs and road surfaces

2. when depth of the concrete to be vibrated exceeds 250 mm

3. where immersion vibrations are impracticable

is equal to

The main function of surge tanks is

A point load of 800 kN is applied on the surface of thick layer of saturated clay. Using Boussin's elastic analysis, the estimated vertical stress at a depth of 2 m and a radial distance of 1.0 m from the point of application of the load is

For a B.G.(Broad Gauge) track, the value of maximum velocity is

A long structural column (Length = L) with both ends hinged is acted upon by an axial compressive load P. The differential equation governing the bending of column is given by , where y is the structural lateral deflection and EI is the flexural rigidity. The first critical load on column responsible for its buckling is given by

The correct expression for the modulus of elasticity for short-term loading is

For linear elastic systems, the type of displacement function for the strain energy is

The velocity components of a plane flow are x/k₁ - y/k₂ , 0 in the directions x, y, z, respectively. If k₁ , k₂ ≠ 0 are constant times, the correct expression for the flow to be incompressible is

In structural analysis, Muller Breslau principle is used for

To make certain that the backfill material is more previous than the soil to be drained, the relationship used is

Which of the following organisms exhibits very nearly the characteristics of an ideal pathogenic indicator?

Figure given below shows a smooth vertical-gravity retaining wall with cohesionless soil backfill having an angle of internal friction Φ. In the graphical representation of Rankine's active earth pressure for the retaining wall shown in figure, length OP represents

The results of analysis of a raw water sample are given below.

From the data given above, it can be inferred that water needs removal of

Two identical concrete piles having the plane dimenstions 50 cm x 50 cm are driven into a homogeneous sandy layer as shown in the figures. Consider the bearing capacity factor N_q for Φ = 30^o as 24.

If Q_P1 and Q_P2 represent the ultimate point bearing resistance of the piles under dry and submerged conditions, respectively, which one of the following statements is correct?

The dispersion of pollutants in atmosphere is maximum when

For the function f(x) = x²e^-x, the maximum occurs when x is equal to ____. (Answer up to the nearest integer)

When a retaining wall moves away from the back-fill, the pressure exerted on the wall is termed as

In a circular tapering bar of length 120 mm, diameter varies from 20 mm to 45 mm. If a tensile load of 20 kN is applied axially, find the total deflection (in mm) of the bar. (Take E = 85 MPa) (Answer up to the nearest integer)

An aircraft is flying in level flight at a speed of 200 km/hr through air (Density, ρ = 1.2 kg/m³ and viscosity, m = 1.6 × 10^-5 N-s/m²). The lift co-efficient at this speed is 0.4 and the drag co-efficient is 0.0065. The mass of the aircraft is 800 kg. The effective lift area (in m²) of the aircraft is

(Answer up to one decimal place)

Consider a fully developed flow of water in a pipe. The velocity of flow is 2 m/s and dynamic viscosity is 1.5 Pa/s. If the value of manning friction factor is 0.25, then diameter of the pipe is __________ mm. (Answer up to the nearest integer)

A roundabout is provided with an average entry width of 8.4 m, width of weaving section as 14 m, and length of the weaving section between channelising islands as 35 m. The crossing traffic and total traffic on the weaving section are 1000 and 2000 PCU per hour respectively. The capacity of the roundabout (in PCU per hour) is (Answer up to two decimal places)

A conical bar having density of 25 g/cm³ elongates due to its own weight. If the length of the bar is 6 m and the largest diameter of the bar is 2 m, then the total elongation is ____________ μ m. (Assume E = 80 Gpa, g = 9.81 m/s²) (Answer up to two decimal places)

The consumptive use of water for a crop during a particular stage of growth is 2.0 mm/day. The maximum depth of available water in the root zone is 60 mm. Irrigation is required when the amount of available water is 50% of the maximum available water in the root zone. Frequency of irrigation (in days) should be (Answer up to the nearest integer)

The following observations are made while testing aggregate for its suitability in pavement construction:

i. Mass of oven-dry aggregate in air = 1000 g

ii. Mass of saturated surface-dry aggregate in air = 1025 g

iii. Mass of saturated surface-dry aggregate under water = 625 g

Based on the above observations, the correct statement is

The system of equations x − 4y + 7z = 14, 3x + 8y − 2z = 13, 7x − 8y + 26z = 5 has

In a simply supported beam subjected to uniformly distributed load throughout the length, at which points is the stress due to (i) flexure and (ii) shear equal to zero selectively?

1. At the support section and neutral fibre

2. At mid-span section and neutral fibre

3. At mid-span section and top fibre

4. At support section and bottom fibre

Consider the following devices as likely to concern with water hammer phenomenon in their design/operation:

1. Hydraulic ram

2. Hydraulic accumulator

3. Penstock

4. Draft tube

Which of the above devices is/are so concerned?

Group I contains three broad classes of irrigation supply canal outlets. Group II presents hydraulic performance attributes.

The correct match of the items in Group I with the items in Group II is

A saturated undisturbed sample from a clay strata has moisture content of 22.22% and specific weight of 2.7. Assuming γ_ω = 10 kN/m³, the void ratio and the saturated unit weight of the clay, respectively are

Which among the following are the dominating microorganisms in an activated sludge process reactor?

The correct match of Column I with Column II is

If the plastic moment capacity of a prismatic beam shown below is M_p , then the collapse load P of the beam is

Column I gives a list of test methods for evaluating properties of concrete and Column II gives the list of properties.

The correct match of the test with the property is

A timber pile of length 8 m and diameter of 0.2 m is driven with a 20 kN drop hammer, falling freely from a height of 1.5 m. The total penetration of the pile in the last 5 blows is 40 mm. Use the engineering news record expression. Assume a factor of safety of 6 and empirical factor (allowing reduction in the theoretical set, due to energy losses) of 2.5 cm. The safe load carrying capacity of the pile (in kN), is ______(Answer up to two decimal places)

Find the value of , where [.] denotes g.i.f.

Consider a fluid with density 100 kg/m³ and viscosity 0.5 N-s/m² flowing through a tube of 20 cm diameter without any turbulency. The value of maximum velocity (in m/s) is (Answer up to the nearest integer)

Chlorine gas used for disinfection combines with water to form hypochlorous acid (HOCl). HOCl ionises to form hypochlorite (OCl^-) in a reversible reaction: HOCI ⇔ H⁺ + OCl^- (k= 2.7 × 10^-8 at 20 °C), the equilibrium of which is governed by pH. The sum of HOCI and OCl^- is known as free chlorine residual and HOCI is more effective disinfectant. The 90% fraction of HOCl in the free chlorine residual is available at a pH value of (Answer up to one decimal place)

For anisotropic material, the total number of independent elastic constants is _____. (Answer up to the nearest integer)

Examine the test arrangement and the soil properties given below.

The maximum pressure (in kPa) that can be applied with a factor of safety of 3 through the concrete block, ensuring no bearing capacity failure in soil using Terzaghi's bearing capacity equation without considering the shape factor, depth factor and inclination factor is

(Answer up to two decimal places)

Velocity vector of a flow field is given as . The magnitude of vorticity vector at (1, - 2, 2) is (Answer up to the nearest integer)

The Froude number of flow in a rectangular channel is 0.8. If the depth of flow is 1.5 m, then the critical depth (in m) is

(Answer up to three decimal places)

A cylindrical shaft of diameter 12 cm is subjected to a bending moment of 3 kNm and a twisting moment of 5.5 kNm. If the yield stress of the shaft material is 480 MPa, then the factor of safety of the shaft corresponding to the maximum shearing stress theory of failure is (Answer up to the nearest integer)

One hour triangular unit hydrograph of a watershed has the peak discharge of 60 m³/sec.cm at 10 hours and time base of 30 hours. The Φ index is 0.4 cm per hour and base flow is 15 m³m/sec.

If there is rainfall of 5.4 cm in 1 hour, then the ordinate of the flood hydrograph (in m³/sec) at 15^th hour is_______(Answer up to the nearest integer)

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 ________. (Answer up to the nearest integer)

For the soil strata shown in figure, the water table is lowered by drainage by 2 m and if the top 2 m thick silty sand stratum remains saturated by capillary action even after lowering of water table, then the increase in effective vertical pressure (in kN/m²) at mid-height of the clay layer will be (Answer up to the nearest integer)

The figure shows the geometry of a strip footing supporting the load bearing walls of a three-storeyed building and the properties of clay layer.

If the elastic modulus and the Poisson ratio of the clay layer respectively are 50 × 10³ kPa and 0.4 and if the influence factor for the strip footing is 1.75, then the elastic settlement (in mm) of the footing will be (Answer up to two decimal places)

A 12 mm thick plate is connected to two 8 mm plates, on either side through a 16 mm diameter power driven field rivet as shown in the figure below. Assuming permissible shear stress as 90 MPa and permissible bearing stress as 270 MPa in the rivet, the rivet value (in kN) of the joint is (Answer up to three decimal places)

A road is designed in such a manner that the speed on a horizontal curve with an elevation of 8% is 110 km/hr. The minimum radius of the curve (in m) that is required for a vehicle to move safely, if the coefficient of friction is 0.10, is (Answer up to one decimal place)

The state of two dimensional stress acting on a concrete lamina consists of a direct tensile stress,σ_x = 1.5 N/mm², and shear stress て = 1.20 N/mm², which cause cracking of concrete. The tensile strength of the concrete, in N/mm², is (Answer up to two decimal places)

An open ended steel barrel of 1 m height and 1 m diameter is filled with saturated fine sand having the coefficient of permeability of 10⁻² m/s. The barrel stands on a saturated bed of gravel. The time required (in seconds) for the water level in the barrel to drop by 0.75 m is

(Answer up to the nearest integer)

A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm² at the centre of gravity of the section. The pre-stress in tendons is 1000 N/mm². Assuming modular ratio as 10, the stress (in N/mm²) in concrete is (Answer up to two decimal places)

The mean distance between two jets in an air stream is 100 m. The density of the air stream in veh/km is (Answer up to the nearest integer)

A horizontal flow primary clarifier treats waste water in which 10%, 60% and 30% of particles have settling velocities of 0.1 mm/s, 0.2 mm/s, 0.2 mm/s, and 1.0 mm/s respectively. What would be the total percentage of particles removed if clarifier operates at a Surface Overflow Rate (SOR) of 43.2 m³/m².d?

(Answer up to the nearest integer)