GATE Mock Test Civil Engineering (CE)- 2 - Civil Engineering (CE)

The letters P, Q, R, S, T, U and V, not necessarily in that order, represents seven consecutive integers from 22 to 33.

(i) U is as much less than Q as R is greater than S.
(ii) V is greater than U.
(iii) Q is the middle term.
(iv) P is 3 greater than S.

Find the sequence of letters from the lowest value to the highest value.

The average age of a couple at the time of their marriage was 25 years. Now, after 8 years, they have a 3-year old daughter. What is the average age of the family now?

From the time the front of a train enters a platform, it takes 50 seconds for the back of the train to leave the platform, while traveling at a constant speed of 45 km/h. At the same speed, it takes 9 seconds to pass a man running at 9 km/h in the opposite direction of the train. What is the length of the train and that of the platform in meters, respectively?

The sum of n terms of series +…. is

Which Circle is missing?

Directions: Figure (x) is followed by four alternative figures (a), (b), (c) and (d) such that figure (x) is embedded in one of them. Choose the alternative figure in which figure (x) is embedded.

Over the past few years, the deer population in northern Maine has declined significantly. Three years ago, a large landowner began clear cutting woodlands in areas of northern Maine, destroying underbrush that the deer feed on. Stopping the clear cutting will reestablish a healthy deer population.

Which of the following, if true, weakens the argument?

Refer to the following data to answer the question that follows:

F(x) = modulus of x

G(x) = the largest integer less than or equal to x

H(x) = the smallest integer greater than or equal to x

I(x) = x, the real number

Find the value of

Consider the following statements:

I. On a principal plane, only normal stress acts.
II. On a principal plane, both normal and shear stresses act.
III. On a principal plane, only shear stress acts.
IV. Isotropic state of stress is independent of frame of reference.

Which of the above statements is/are TRUE?

Two prismatic beams having the same flexural rigidity of 1000 kN-m² are shown in the figures.

If the mid-span deflections of these beams are denoted by δ₁ and δ₂ (as indicated in the figures). The correct option is ______

A splitting tensile test is performed on a cylinder of diameter D and length L. The ultimate load is P then the splitting tensile strength of concrete is given by

Let A and B be non-singular square matrices of the same order. Consider the following statements.

(I) (AB)^T = A^TB^T

(II) (AB)⁻¹ = B⁻¹A⁻¹

(III) adj(AB) = (adj.A) (adj.B)

(IV) ρ(AB) =ρ(A)ρ(B)

(V) AB = A.B

Which of the above statements are false?

A vehicle having a projected area of 15m² traveling at 70km/hr experiences a resistance of 2kN out of which 60% is due to drag. Calculate the drag coefficient. Given, that the density of air is 1.25 kg/m³.

For a wooden member of least thickness 50 mm to be connected to a nail, the nail diameter should not be more than _________.

Calculate the force exerted(in kN) on a vane moving with a velocity of 7m/s by a jet of water having 30m/s.The density of water is 1020kg/m³. The sectional area of the jet is given as 5m².

The effective length of fillet weld having a length of 5 m and size of 1.75 m is ___________ m.

(MSQ - This is a multiple select questions. One or more options is/are correct)

Choose the correct statement(s)

A truck is facing in its intended direction of travel along the beam as shown below. For a truck traveling in the direction shown, the maximum live load bending moment at support C is

Which of the following statements regarding flow nets is/are correct?

If the velocity components of flow are u = 3xy³ and v = x³ - y³ , then the flow is

The field capacity of a certain soil is 25% and the moisture content of the soil before irrigation is 9%. If the dry unit weight of soil is 18 KN/m³ then the depth (in mm, round off to the nearest integer) up to which soil profile will be saturated with an application of 65mm of water is _____.

The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is _____.

In Simpson's rule for numerical integrating a curve, we divide the curve into

For a partially saturated soil, the increase in pore water pressure when no drainage is permitted is _________ kPa. (Take Skempton's pore pressure parameters as A = 2.5 and B = 3.5, major and minor principal stress increments as 5.5 kPa and 1.75 kPa, respectively.) (Answer up to one decimal place)

Solving using a 4-equal segment trapezoidal rule gives (round off to three decimal places) :

Given that the density of earth is 7.8 kg/m³, angle of repose is 60° and height of wall is 15 m. Considering the earth retained is level, the active pressure on retaining wall is __________ Pa. (Answer up to the nearest integer)

Calculate total elongation in mm due to axial load of 250kN applied to a flat bar of length 20m and 20mm thick tapering from a width of 150mm to 60mm. Assume E = 205GPa.(round up to 2 decimal places)

If the heights of a lighthouse and an observer in a ship above MSL respectively are 165 m and 10 m, then the horizontal distance from the ship to the lighthouse is _________ m. (Answer up to one decimal place)

A welded plate girder of span 20 m is laterally restrained throughout its length. It has to carry a load of 60 kN/m over the whole span including its weight. If K = 180 and fy = 250 MPa, the thickness of the web will be nearly(in mm, round up to 2 decimal places)

If the switch angle is 75°, diamond angle is 45° and radius of slip is 38 m, then the distance between the point slip and the nose of obtuse crossing is __________ m. (Answer up to two decimal places)

The observations of a spot speed study are presented in the table below. The ratio (up to 3 decimal places) of the 85th and 15th percentile speeds is -

dx is equal to

[This is a Multiple Select Question. One or more than one option is right]

What are the corrections applied to the basic runway length?

If x² – 117 = 0, then the iterative step for the solution using Newton–Raphson's method is given by

A baseball of weight 0.8N is thrown at 20m/s to a batsman and after hitting the bat the ball moves with a velocity of 40m/s at a deviation angle of 450 from its initial path. If the impact lasts for 0.035s, calculate the average force of impact in N.(round up to 2 decimal places)

For the simple beam AB and loading shown in the figure, consider the following data:

P = 5.4 kN, L = 3.0 m, d = 1.2 m, b = 75 mm, t = 25 mm, h = 100 mm and h₁ = 75 mm

What will be the maximum tensile stress σ_t and maximum compressive stress σ_c due to load P?

A coarse screen being used for the raw water treatment has a screen constant k = 1.43. Calculate velocity through the screen (in m/s, round up to 2 decimal places) if it is given that the velocity of approach is 3 m/s and head loss through the screen is 1.5 m.

An isolated 3 hour 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

The maximum discharge in the sewer is achieved at the d/D ratio of

The dominating microorganisms in an activated sludge process reactor are

A 50 mm diameter siphon is drawing water from (1) to the tank (4) as shown in fig. The length of the pipe is 0.5 km. Also there is a swing valve present at location (3) with roughness coefficient, k as 2. The pressure in the tank is 20 cm of Hg. Consider friction factor as 0.16. The discharge through the pipe is_ ___ lps. (Neglect other minor losses)(round up to 2 decimal places)

If the radius of the well pipe is 7 m, radius of influence is 25 m, thickness of a confined aquifer is 18 mm, then the ratio of the discharge of a well sunk up to the top of the aquifer to the discharge of the well fully penetrated is ____________. (Answer up to one decimal place)

A specimen of fine dry sand when subjected to triaxial compression test, failed at a deviator stress of 200 kN/m². It failed with a pronounced failure plane with an angle of 36 degrees to the axis of the sample. The value of lateral pressure to which the specimen would have been subjected. (in kN/m² , round up to 1 decimal place))

The terminal velocity of a sphere of radius 25 mm and specific weight 27 kN/m³ traveling downwards in a liquid of viscosity 0.00089 Pas and specific weight 10 kN/m³ is __________ m/s. (Answer up to two decimal places)

A soil profile at a certain location is as shown in the figure. A rigid circular foundation of 4 m diameter rests on the sand. The contact pressure at the underside of the foundation is 115 kN/m². The average compression index of the clay is 0.3 for the stress range encountered. The ultimate settlement in mm of the foundation assuming 45° load distribution is (round up to 1 decimal place)

A beam of rectangular cross-section 25 × 35 mm is subjected to a torque of 79 kN-m. The maximum torsional stress induced in the beam is ____________ MPa. (Take α = 1.87 for the beam) (Answer up to two decimal places)

In border flooding, the average depth of water flowing over the field is 15cm and the area of the field is 0.5ha. The rate of infiltration is 10mm/day and the discharge of the canal is 300 lit/min. Calculate the time taken in days(round upto 2 decimal places) to irrigate the whole field.

The maximum bending moment in a purlin of length 17 m subjected to a distributed load of 1.9 MN/m is ______________ MN/m. (Answer up to two decimal places)

A solution of the ordinary differential equation d²y/dt² + 5dy/dt + 6y = 0 is such that y(0)=2 and y(1)=-(1-3e)/e³ the value of dy/dt(0) is ______

If the distance between the centers of two parallel tracks of 2.35 m is 7.35 m with entire curved leads and equal angles of crossing, the total length of crossover is _________ m. (Answer up to two decimal places)

The quadratic equation x²-5x+5=0 is to be solved numerically starting with the initial guess x₀ = 2. 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 (round up to 1 decimal place)

A wooden pile is driven by a drop hammer of weight 1500 kg and it has a free fall of 5 m. The final set is 1.75 m. The value of allowable load is _____________ kg. (Answer up to two decimal places)

A simply supported rectangular RCC beam (length L = 3 m) of 250 mm width and 400 mm depth is subjected to the concentrated load as shown in figure. It is to be designed as a singly reinforced beam with 4, 16 mm dia steel bars on the tension side. Consider M20 and Fe 415 steel. The maximum value of P that can be applied safely in kN is ___.(round up to 2 decimal places)

The braking distance for a vehicle moving with 179 km/h is __________ m. (Take the coefficient of friction as 0.15.) (Answer up to the nearest integer)

The magnitude of the horizontal thrust (in kNm, round off to 2 decimal places) acting on the internal hinge in the arch due to the uniformly distributed load over half of the span is :

Using Freeman formula, find the water demand in litres per minute when population of the city is 18,95,000. (Answer up to the nearest integer)

A hollow circular section of an internal and external diameter of 80mm and 40mm and a solid circular section of diameter same as that of the outer diameter of the hollow section is subjected to eccentric loading. The ratio of kerns of the hollow section to the solid section is(round up to 2 decimal places)

Find the pressure developed (in kg/m²) due to a single load of a vehicle if the depth of top of the sewer pipe is 5.6 m, two concentrated loads of 1500 kg each and the slant-height from one of the wheel load to the midpoint between the two loads is 2.89 m. (Answer up to one decimal place)

A map has shrunk and the 15 cm reference line now measures 14 cm. If the original scale of the map is 1 cm = 30 m, find the volume of the reservoir(in ha-m, round up to 2 decimal places), if the measured volume of the reservoir on map is 500 m².

For the beam shown below, find the maximum bending moment in kN/m. (Answer up to two decimal places)

A flow at a signalised intersection is governed by the Greenshield model given by u = 80 - 0.8 k where u is the velocity in kmph and k is the density in veh per km. At the density of 14.65 veh per km, the signal turns red. After a red time of 60 seconds, a shockwave is produced as vehicles move at max flow. The magnitude of the speed of shockwave in kmph will be (round up to nearest integer value)

The number of sleepers saved by adopting the minimum density for constructing a broad gauge railway track of 1856 m log in India is ____________. (Answer up to the nearest integer)