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

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