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

Given the statements:

• P is the sister of Q.
• Q is the husband of R.
• R is the mother of S.
• T is the husband of P.

Based on the above information, T is _____ of S.

In the following diagram, the point R is the center of the circle. The lines PQ and ZV are tangential to the circle. The relation among the areas of the squares, PXWR, RUVZ and SPQT is

Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eating healthy in the first year are more likely to have better overall health as they get older.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

P invested ₹ 5000 per month for 6 months of a year and Q invested ₹ x per month for 8 months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year.
If at the end of that investment year, Q receives 4/9 of the total profit, what is the value of (in ₹)?

The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.
From the data presented above, which one of the following is CORRECT?

In the square grid shown on the left, a person standing at P2 position is required to move to P5 position.
The only movement allowed for a step involves, “two moves along one direction followed by one move in a perpendicular direction”.The permissible directions for movement are shown as dotted arrows in the right.
For example, a person at a given position Y can move only to the positions marked X on the right.
Without occupying any of the shaded squares at the end of each step, the minimum number of steps required to go from P2 to P5 is

Consider a cube made by folding a single sheet of paper of appropriate shape.
The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank.
Which one of the following represents a possible unfolding of the cube?

Consider the following expression: z = sin(y + it) + cos (y - it) where z, y, and t are variables, and ,i = √-1 is a complex number. The partial differential equation derived from the above expression is

For the equation

the correct description is

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of

Which of the following equations is correct for the Pozzolanic reaction?

Consider the cross-section of a beam made up of thin uniform elements having thickness t ( t ≪ a) shown in the figure. The (x , y) coordinates of the points along the center-line of the cross-section are given in the figure.

The coordinates of the shear center of this cross-section are: 

Four different soils are classified as CH, ML, SP, and SW, as per the Unified Soil Classification System. Which one of the following options correctly represents their arrangement in the decreasing order of hydraulic conductivity?

Let σ_v' and σ_h' denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must be satisfied for a soil element to reach the failure state under Rankine’s passive earth pressure condition?

With respect to fluid flow, match the following in Column X with Column Y:

Which one of the following combinations is correct?

Let ψ represent soil suction head and K represent hydraulic conductivity of the soil. If the soil moisture content θ increases, which one of the following statements is TRUE?

A rectangular channel with Gradually Varied Flow (GVF) has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting GVF profile is

The total hardness in raw water is 500 milligram per liter as CaCO₃. The total hardness of this raw water, expressed in milligram equivalent per liter, is (Consider the atomic weights of Ca, C, and O as 40 g/mol, 12 g/mol, and 16 g/mol, respectively.)

An aerial photograph is taken from a flight at a height of 3.5 km above mean sea level, using a camera of focal length 152 mm. If the average ground elevation is 460 m above mean sea level, then the scale of the photograph is

A line between stations P and Q laid on a slope of 1 in 5 was measured as 350 m using a 50 m tape. The tape is known to be short by 0.1 m.
The corrected horizontal length (in m) of the line PQ will be

The matrix M is defined as  and has eigenvalues 5 and - 2. The matrix Q is formed as Q = M³ - AM² - 2M
Which of the following is/are the eigenvalue(s) of matrix Q ? 

For wastewater coming from a wood pulping industry, Chemical Oxygen Demand (COD) and 5-day Biochemical Oxygen Demand (BOD₅) were determined. For this wastewater, which of the following statement(s) is/are correct?

Which of the following process(es) can be used for conversion of salt water into fresh water?

A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature?

Consider the following recursive iteration scheme for different values of variable Pwith the initial guess x₁ = 1:

For P = 2, x₅ is obtained to be 1.414, rounded-off to three decimal places. For P = 3, x₅ is obtained to be 1.732, rounded-off to three decimal places.
If P = 10, the numerical value of x₅ is ________. (round off to three decimal places)

The Fourier cosine series of a function is given by:

For f(x) = cos⁴*, the numerical value of (f₄ + f₅) is ___ . (round off to three decimal places)