Gate Mock Test Civil Engineering (CE)- 1 - Civil Engineering (CE) MCQ

Two identical cube-shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is:

A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is

Four person P, Q, R and S are to be seated in a row, R should not be seated at the second position from the left end of the row. The number of possible distinct seating arrangements is:

A population p(t) of 1000 bacteria, introduced into nutrient medium, grows according to the relation p(t) = 1000 + . The maximum size of this bacterial population is _______.

The author said, ''Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it strange that many public speakers think they can just walk on to the stage and start speaking. In my opinion, it is no less important for public speakers to rehearse their talks''.

Based on the above passage, which one of the following is true?

Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings, i.e. brothers and sisters.

All were born on 1st January. The age difference between any two successive siblings (that are born one after another) is less than 3 years. Given are the following facts:

i. Hari's age + Gita's age > Irfan's age + Saira's age

ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.

iii. There are no twins.

Q. In what order were they born (oldest first)?

In the figure shown below, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with a radius equal to the side of the square and centers at S and Q.

The probability that any point picked randomly within the square falls in the shaded area is ______.

The most general complex analytical function f (z) = u (x, y) + iv (x, y) for u = x² - y² is

The hyetograph in the figure corresponds to rainfall event of 3 cm.

The rainfall event has produced a direct runoff of 1.6 cm, the Φ -index of the event (in mm/hour, round off to one decimal place) would be _________.

If a member carries a tensile force P on its area of cross-section A, the normal stress introduced on an inclined plane making an angle θ with its transverse plane is

The rank of the matrix is

The absolute maximum bending moment in a simply supported beam of span 20 m due to a moving udl of 4 t/m spanning over 5 m is

In an aggregate mix the proportions of coarse aggregate, fine aggregate and mineral filler are 55%, 40% and 5%, respectively. The values of bulk specific gravity of the coarse aggregate, fine aggregate and mineral filler are 2.55, 2.65 and 2.70, respectively. The bulk specific gravity of the aggregate mix (round off to two decimal places) is __________.

Given that

r = radius of load distribution

E = modulus of elasticity of concrete

k = modulus of subgrade reaction

μ = poisson's ratio of concrete

h = thickness of slab

P = wheel load

The combination of parameters required for obtaining the radius of the relative stiffness of cement concrete slab is

A rectangular footing of size 2.8 m × 3.5 m is embedded in a clay layer and a vertical load is placed with an eccentricity of 0.8 m as shown in the figure (not to scale). Take Bearing capacity factors:N_c = 5.14, N_q = 1.0, and N_y = 0.0; Shape factors: s_c = 1.16, s_q = 1.0 and s_y = 1.0; Depth factors: d_c = 1.1, d_q = 1.0 and d_y = 1.0; and Inclination factors: i_c = 1.0 and i_q = 1.0 and i_y = 1.0.

Using Meyerhof's method, the load (in kN, round off to two decimal places) that can be applied on the following with a factor of safety of 2.5 is __________.

Which one of the following conditions is taken to fulfill the permeability condition in the design of filter material for subsurface drainage in roads?

An equipment has been purchased at an initial cost of 1,60,000 and has an estimated salvage value of 10,000. The equipment has an estimated life of 5 years. The difference between the book values (in', in integer) obtained at the end of 4^th year using straight-line method and sum of years digit method of depreciation is _________.

Which of the following pairs are correctly matched?

A water filtration unit is made of uniform-size sand particles of 0.4 mm, diameter with a shape factor of 0.84 and specific gravity of 2.55. The depth of the filter bed is 0.70 m and the porosity is 0.35. The filter bed is to be expanded to a porosity of 0.65 by hydraulic backwash. If the terminal settling velocity of sand particles during backwash is 4.5 cm/s, the required backwash velocity is

Which of the following statements is incorrect?

A function is defined in Cartesian coordinate system as f(x, y) = xe^y. The value of the directional derivative of the function (in integer) at the point (2, 0) along the direction of the straight line segment from point (2, 0) to point (1/2, 2) is ________.

For the function f(t) = e^-t/τ ; the Taylor series approximation for t << τ is

The stopping sight distance (SSD) for a level highway is 140 m for the design speed of 90 km/ h. The acceleration due to gravity and deceleration rate are 9.81 m/s² and 3.5 m/s², respectively. The perception/reaction time (in s, round off to two decimal places) used in the SSD calculation is ______.

The sight distance, if the coefficient of friction is 0.25, is 550 m. Find the velocity(in m/s). (Answer up to the nearest integer)

As per the Unified Soil Classification System (USCS), the type of soil represented by 'MH' is:

A steel plate is bent into a circular arc of radius 10 m. Modulus of elasticity for steel is 2 x 10⁵ N/mm². If the plate section was 120 x 20 mm. Then the maximum stress (in N/mm2) induced will be ______. (Answer up to the nearest integer)

If k is a constant, the general solution of dy/dx = y/x = 1 will be in the form of