Gate Mock Test Civil Engineering (CE)- 10 - Civil Engineering (CE)

Directions: In this question, the second figure of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the third problem figure. You have to select the figure from the set of answer figures which would replace the sign of the question mark (?).

Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and R cannot sit adjacent to each other. S should be seated to the right of Q. The number of distinct seating arrangements possible is:

Directions: Read the given information carefully and answer the question that follows.

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable. Of Y's shock absorbers, 72% are reliable.

The probability that a randomly chosen shock absorber, which is found to be reliable, being made by Y, is

Consider two rectangular sheets, sheet M and sheet N of dimensions 6 cm × 4 cm each.

Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.

Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.

Folding operation 1 is carried out on sheet M three times.

Folding operation 2 is carried out on sheet N three times.

The ratio of perimeters of the final folded shape of sheet N to the final folded shape of sheet M is ______.

Directions: Find the sum to n terms of the series.

10 + 84 + 734 + ___

A function,λ , is defined by

The value of the expression is:

If a = -5, b = -6 and c = 10, then the value of is

The noise from an aeroplane engine 100 m from an observer is 40 dB in intensity. The ratio of intensity of sound at 2 km will be x : 1. Find the value of x. (Answer up to the nearest integer)

The value of is.

Calculate the pavement thickness(in cm) of base course by triaxial test method using the following data:

Wheel load = 4100 kg

Radius of contact area = 15 cm

Traffic Co-efficient, X = 1.5

Rainfall Co-efficient, Y = 0.9

Design deflection,Δ = 0.25 cm

E - Value of sub-grade soil, Es = 100 kg/cm2

E - Value of base course material, Eb = 400 kg/cm2

The void ratio of a clay soil sample M decreased from 0.575 to 0.510 when the applied pressure is increased from 120 kPa to 180 kPa. For the same increment in pressure, the void ratio of another clay soil sample N decreases from 0.600 to 0.550. If the ratio of hydraulic conductivity of sample M to sample N is 0.125, then the ratio of the coefficient of consolidation of sample M to sample N (round off to three decimal places) is ________.

A crest vertical curve joins two gradients of +3% and -2% for a design speed of 80 km/h and the corresponding stopping sight distance of 120 m. The height of driver's eye and the object above the road surface are 1.20 m and 0.15 m, respectively. The curve length (which is less than stopping sight distance (in m)) to be provided is (Answer up to the nearest integer)

A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m³, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.

Match List I with List II and select the correct answer using the codes given below the lists:

Read the statements given below:

(i) Values of the wind profile exponent for the 'very unstable' atmosphere is smaller than the wind profile exponent for the 'neutral' atmosphere.

(ii) Downwind concentration of air pollutants due to an elevated point source will be inversely proportional to the wind speed.

(iii) Value of the wind profile exponent for the 'neutral' atmosphere is smaller than the wind profile exponent for the 'very unstable' atmosphere.

(iv) Downwind concentration of air pollutants due to an elevated point source will be directly proportional to the wind speed.

Select the correct option.

A one-storeyed rigid portal frame, ABCD, carries loads P and Q as shown in the figure. It is hinged at the two supports A and D.

The structure is statically

Relationship between traffic speed and density is described using a negatively sloped straight line. If vf is the free-flow speed, then the speed at which the maximum flow occurs is

The allowable shear stress in stiffened webs of mild steel beams decreases with

A 12-hour unit hydrograph (of 1 cm excess rainfall) of a catchment is of a triangular shape with a base width of 144 hour and a peak discharge of 23 m³/s. The area of the catchment (in km², round off to the nearest integer) is __________.

For two plates of equal thickness, full strength of fillet weld can be ensured if its maximum size, for square edge, is limited to

An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of 1.5 m. It is supported on a solid steel circular column of diameter 75 mm and total height (L) of 4 m. Take water density = 1000 kg/m³ and acceleration due to gravity = 10 m/s².

If elastic modulus (E) of steel is 200 GPa, ignoring self-weight of the tank, for the supporting steel column to remain unbuckled, the maximum depth (h) of the water permissible (in m, round off to one decimal place) is _______.

While applying the Winter and Pei's method of analysis to folded plates, ______________.

A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at F and G are acting vertically.

The magnitude of tension in the cable segment FG (in kN, round off to two decimal places) is ____

If a > 0 and discriminant of ax² + 2bx + c is negative, then

The smallest eigen value and the corresponding eigen vector of the matrix , respectively, are

For the differential equation dy/dt + 5y = 0, with y(0) = 1, the general solution is

A prismatic steel beam is shown in the figure.

The plastic moment, Mp calculated for the collapse mechanism using static method and kinematic method is

A bed of sand consists of three horizontal layers of equal thickness. The value of Darcy's K for the upper and lower layers is 1 x 10^-2 cm/sec and that for the middle layer is 1 x 10^-1 cm/sec. The ratio of the permeability of the bed in the horizontal direction to that in the vertical direction is

A rectangular open channel of 6 m width is carrying a discharge of 20 m³/s. Consider the acceleration due to gravity as 9.81 m/s² and assume water as incompressible and inviscid. The depth of flow in the channel at which the specific energy of the flowing water is minimum for the given discharge will then be

The ratio of the average load to the installed capacity of the plant whose reserve capacity is zero will be equal to

A prismatic fixed-beam, modeled with a total lumped-mass of 10 kg as a single degree of freedom (SDOF) system is shown in the figure.

If the flexural stiffness of the beam is 4π² kN/m, its natural frequency of vibration (in Hz, in integer) in the flexural mode will be ___________.

Cross-section of a column consisting of two steel strips, each of thickness t and width b is shown in the figure below. The critical loads of the column with perfect bond and without bond between the strips are P and P0 respectively. The ratio P/Po is (Answer up to the nearest integer)

The internal (d_i) and external (d_o) diameters of a Shelby sampler are 48 mm and 52 mm, respectively.

The area ratio (A_r) of the sampler (in %, round off to two decimal places) is ________.

A flexural member bends with constant radius of curvature throughout its length having sectional and material properties shown below. The bottom fibre of member is under tension because of bending. Radius of the Mohr's circle and maximum shear stress for an stress element at P are

(Given: E = Young's modulus)

Radius of the Mohr's circle and maximum shear stress for an stress element at P are

An activated sludge process (ASP) is designed for secondary treatment of 7500 m³/day of municipal wastewater. After primary clarifier, the ultimate BOD of the influent, which enters into ASP reactor is 200 mg/L. Treated effluent after secondary clarifier is required to have an ultimate BOD of 20 mg/L. Mix liquor volatile suspended solids (MLVSS) concentration in the reactor and the underflow is maintained as 3000 mg/L and 12000 mg/L, respectively. The hydraulic retention time and mean cell residence time are 0.2 day and 10 days, respectively. A representative flow diagram of the ASP is shown below.

If the velocity, bulk modulus of elasticity and the mass density of a fluid are denoted by U, K and ρ respectively, then the Mach number is given by

A rectangular cross-section of a reinforced concrete beam is shown in the figure. The diameter of each reinforcing bar is 16 mm. The values of modulus of elasticity of concrete and steel are 2.0 × 10⁴ MPa and 2.1 × 10⁵ MPa, respectively.

The distance of the centroidal axis from the centerline of the reinforcement (x) for the uncracked section (in mm, round off to one decimal place) is __________

As per IRC - recommendation, the average level of illumination (in lux) on important roads carrying fast traffic is (Answer up to the nearest integer)

In a three-phase signal system design for a four-leg intersection, the critical flow ratios for each phase are 0.18, 0.32, and 0.22. The total loss time in each of the phases is 2s. As per Webster's formula, the optimal cycle length (in s, round off to the nearest integer) is ________.

The capacity (in kN) of a single ISA 100 mm x 100 mm x 10 mm as tension member connected by one leg only using 6 rivets of 20 mm diameter is _______. (Answer up to the nearest integer)

A fire hose nozzle directs a steady stream of water of velocity 50 m/s at an angle of 45° above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and inviscid. Consider the density of air and the air friction as negligible and assume the acceleration due to gravity as 9.81 m/s². The maximum height (in m, round off to two decimal places) reached by the stream above the hose nozzle will then be __________.

If the Euler load for a steel column is 1000 kN and crushing load is 1500 kN, the Rankine load (in kN) is equal to ______.(Answer up to the nearest integer)

The unit normal vector to the surface x2 + y2 + z2 - 48 = 0 at the point (4, 4, 4) is

An RCC beam 230 mm × 450 mm (effective) is supported over an effective span of 6 m and it can carry 16 Φ 4 bars, provided in tension. Consider M-15 concrete and E 415 steel. Find the working u.d.l.(in kN/m). (Answer up to one decimal place)

For a given traverse, latitudes and departures are calculated and it is found that sum of latitudes is equal to +2.1 m and the sum of departures is equal to -2.8 m. The length and bearing of the losing error, respectively, are

Consider the following statements concerning engineering geology:

1. Dams on sedimentary impervious strata dipping upstream will be unsafe.
2. In general, igneous rocks are hard and are suitable for construction of large hydraulic structures.
3. Construction of a major dam must be preceded by thorough geotechnical investigations.
4. Construction of dams is never indicated in any active zone of seismicity.

Which of the above statements are correct?

A frame EFG is shown in the figure. All members are prismatic and have equal flexural rigidity. The member FG carries a uniformly distributed load w per unit length. Axial deformation of any member is neglected.

Considering the joint F being rigid, the support reaction at G is

A three-phase traffic signal at an intersection is designed for flows shown in the figure below. There are six groups of flows identified by the numbers 1 to 6. Among these, 1, 3, 4 and 6 are through flows and 2 and 5 are right turning. Which of the given phasing schemes, as shown in the table, is not feasible?

The activity details for a small project are given in the Table.

The total time (in days, in integer) for project completion is _________.

If an SPT test gave the average blow count of 32 in fine sand below water table, what is the corrected value of blow count? (Answer up to one decimal place)

In general, CORRECT sequence of surveying operations is

Given that

The value (round off to one decimal place) of dx is _______.

Directions: The question given below contains two statements, Statement (I) and Statement (II). Mark the correct choice according to the following instructions.

Statement (I): The term odour intensity to determine extent of odour and taste in a sample of water is related with threshold odour.

Statement (II): Threshold odour number is the dilution ratio at which the odour is hardly detectable.

explanation of Statement (I)

A grit chamber of rectangular cross-section is to be designed to remove particles with diameter of 0.25 mm and specific gravity of 2.70. The terminal settling velocity of the particles is estimated as 2.5 cm/s. The chamber is having a width of 0.50 m and has to carry a peak wastewater flow of 9720 m³/d giving the depth of flow as 0.75 m. If a flow-through velocity of 0.3 m/s has to be maintained using a proportional weir at the outlet end of the chamber, the minimum length of the chamber (in m, in integer) to remove 0.25 mm particles completely is __________.

A light house of height 120 m is just visible above the horizon from a ship. The correct distance (in km) between the ship and the light house, considering combined correction for curvature and refraction, is
(Answer up to three decimal places)

Strain hardening of structural steel means

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 horizontal angle ፀ is measured by four differential surveyors multiple times and the values reported are given below

The most probable value of the angle ፀ (in degrees, rounded off to two decimal places) is ______.

Two persons throw a pair of dice alternately till, one gets a total of 9 and wins the game. If A takes the first throw, then the probability that A wins the game is

A propped cantilever beam XY, with an internal hinge at the middle, is carrying a uniformly distributed load of 10 kN/m, as shown in the figure.

The vertical reaction at support X (in kN, in integer) is _______.

In the matrix equation Px = q, which of the following is a necessary condition for the existence of at least one solution for the unknown vector x?