Practice Test: Gate Civil Engineering(CE) 2022 Paper: (Session II) - Civil Engineering (CE) MCQ

In a partnership business the monthly investment by three friends for the first six months is m the ratio 3 :4 : 5. After six months, they had to increase their monthly investments by 10%, 15% and 20%, respectively, of then initial monthly investment. The new investment ratio was kept constant for the next six months.
What is the ratio of their shares in the total profit (m the same order) at the end of the year such that the share is proportional to their individual total investment over the year? 

A survey of 450 students about their subjects of interest resulted in the following outcome.

• 150 students are interested m Mathematics.
• 200 students are interested in Physics.
• 175 students are interested in Chemistry.
• 50 students are interested in Mathematics and Physics.
• 60 students are interested in Physics and Chemistry
• 40 students are interested in Mathematics and Chemistry.
• 30 students are interested in Mathematics, Physics and Chemistry.
• Remaining students are interested in Humanities.

Based on the above information, the number of students interested in Humanities is 

x : y : z = 1/2 : 1/3 : 1/4
What is the value of 

Both the numerator and the denominator of 3/4 are increased by a positive 15/17 integer, x, and those of — are decreased by the same integer. This operation results m the same value for both the fractions. What is the value of x?

Consider the following equations of straight lines:
Line L1 : 2x - 3y = 5
Line L2 : 3x + 2y = 8
Line L3 : Ax - 6y = 5
Line L4 : 6x - 9y = 6
Which one of the following is the correct statement?

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in the shops in these malls is generally low.
Which one of the following is the CORRECT logical inference based on the information in the above passage? 

Given below are two statements and four conclusions drawn based on the statements.
Statement 1: Some soaps are clean.
Statement 2: All clean objects are wet.
Conclusion I: Some clean objects are soaps.
Conclusion II: No clean object is a soap.
Conclusion III: Some wet objects are soaps.
Conclusion IV: All wet objects are soaps.
Which one of the following options can be logically inferred?

A 100 mg of HNO₃ (strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol. 14 g mol. and 16 g/mol, respectively. The final pH of this water is (Ignore the dissociation of water.)

Match the following in Column X with Column Y:

Which one of the following combinations is correct?

In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is C₁₀₀H₂₅₀O₈₀N. The waste has to be treated by forced-aeration composting process for which air requirement has to be estimated.
Assume oxygen in air (by weight) = 23% and density of air = 1.3 kg/m³. Atomic mass:
C = 12, H = 1, O = 16, N = 14.
C and H are oxidized completely whereas N is converted only into NH₃ during oxidation.
For oxidative degradation of 1 tonne of the waste, the required theoretical volume of air (in m³/tonne) will be (round off the nearest integer)

Let y be a non-zero vector of size 2022 x 1. Which of the following statement(s) is/are TRUE?

A pair of six-faced dice is rolled twice, The probability that the sum of the outcomes in each roll equals 4 in exactly two of the three attempts i s _____ (round off to three decimal places).

A saturated compressible clay layer of thickness h is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point P. which is located at the mid-depth of the clay layer were 150 kPa and 25 kPa. respectively. Construction of a building caused an additional total vertical stress of 100 kPa at P. When the vertical effective stress at P is 175 kPa. the percentage of consolidation in The clay layer at P i s _________. (in integer)

A single-lane highway has a traffic density of 40 vehicles km If the time-mean speed and space-mean speed are 40 kmph and 30 kmph, respectively, the average headway (in seconds) between the vehicles is

Consider the polynomial f[x) = x³ - 6x² + 11x - 6 on the domain S, given by 1 ≤ x ≤ 3. The first and second derivatives are f(x) and f'{x).
Consider the following statements:
I. The given polynomial is zero at the boundary points x = 1 and x = 3.
II. There exists one local maxima of f{x) within the domain S.
III. The second derivative f"(x) > 0 throughout the domains S.
IV. There exists one local minima f(x) within the domain S.

The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is for the East-West and the West-East through movements, and the second phase is for the North- South and the South-North through movements. There are no turning movements. Assume that the saturation flow is 1800 vehicles per hour per lane for each lane and the total lost time for the first and the second phases together is 9 seconds.

The optim um cycle length (in second), as per the W ebster’s method, is _____ . (round off to the nearest integer).

Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams (P) and (Q) as shown in the schematic is _______ kmph. (in integer)

A sewage treatment plant receives sewage at a flow rate of 5000 m³/day. The total suspended solids (TSS) concentration in the sewage at the inlet of primary clarifier is 200 mg/L. After the primary treatment, the TSS concentration in sewage is reduced by 60 %. The sludge from the primary clarifier contains 2 % solids concentration. Subsequently, the sludge is subjected to gravity thickening process to achieve a solids concentration of 6%. Assume that the density of sludge, before and after thickening, is 1000 kg/m³.
The daily volume of the thickened sludge (in m³ /day) will be_________. (round off to the nearest integer)

The activities of a project are given in the following table along with their durations and dependency.

The total float of the activity E (in day) is _____ . (in integer)

If the magnetic bearing of the Sun at a place at noon is S 2° E. the magnetic declination (in degrees) at that place is

Consider two linearly elastic rods HI and IJ. each of length b, as shown in the figure. The rods are co-linear, and confined between two fixed supports at if and J. Both the rods are initially stress free, The coefficient of linear thermal expansion is a for both the rods. The temperature of the rod IJ is raised by ΔT. whereas the temperature of rod HI remains unchanged. An external horizontal force P is now applied at node l. It is given that a = 10^-6 °C^-1, ΔT = 50° C, b = 2m, AE = 10⁶N. The axial rigidities of the rods HI and U are 2 AE and AE, respectively.

To make the axial force in rod HI equal to zero, the value of the external force P (in N) is _______. (rounded off to the nearest integer).

Stresses acting on an infinitesimal soil element are shown in the figure (with σ_z > σ_x).
The major and minor principal stresses are σ₁ and σ₃, respectively. Considering the compressive stresses as positive, which one of the following expressions correctly represents the angle between the major principal stress plane and the horizontal plane?

Match the following attributes of a city with the appropriate scale of measurements.

Which one of the following combinations is correct?

A concentrically loaded isolated square footing of size 2 m x 2 m carries a concentrated vertical load of 1000 kN. Considering Boussinesq's theory of stress distribution, the maximum depth (in m) of the pressure bulb corresponding to 10 % of the vertical load intensity will b e ___________. (round off to two decimal all places)

A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n → ∞ the structure’s hydrologic risk of failure in percentage is ______. (rounded off to one decimal place)

A soil sample is underlying a water column of height h₁, as shown in the figure. The vertical effective stresses at point A, B and C are σ'_A , s'_B, and S'_C respectively. Let Y_sat and Y_w be the saturated and submerged unit weights of the soil sample, respectively and yw be the unit weight of water. Which one of the following expressions correctly represents the sum (σ'_A + σ'_B, + σ'_C) ?

To design an optimum municipal solid waste collection route, which of the following is/ are NOT desired: