Civil Engineering GATE 2024 Set-I Questions with Answer

Ques 1 Construction Management

Consider the statements P and Q.
P: In a Pure project organization, the project manager maintains complete authority and has maximum control over the project.
Q: A Matrix organization structure facilitates quick response to changes, conflicts, and project needs.
Which one of the following options is CORRECT?

Both P and Q are TRUE

P is TRUE and Q is FALSE

Both P and Q are FALSE

P is FALSE and Q is TRUE

Ques 2 Construction Management

Consider the following data for a project of 300 days duration.
Budgeted Cost of Work Scheduled (BCWS) = Rs. 200
Budgeted Cost of Work Performed (BCWP) = Rs. 150
Actual Cost of Work Performed (ACWP) = Rs. 190
The 'schedule variance' for the project is _______.

(-)Rs. 50

(-)50 days

(+)Rs. 50

(+)50 days

Ques 3 Construction Management

A critical activity in a project is estimated to take 15 days to complete at a cost of Rs. 30,000. The activity can be expedited to complete in 12 days by spending a total amount of Rs. 54,000. Consider the statements P and Q.
P: It is economically advisable to complete the activity early by crashing, if the indirect cost of the project is Rs. 8,500 per day.
Q: It is economically advisable to complete the activity early by crashing, if the indirect cost of the project is Rs. 10,000 per day.
Which one of the following options is CORRECT?

Both P and Q are TRUE

P is TRUE and Q is FALSE

Both P and Q are FALSE

P is FALSE and Q is TRUE

Ques 4 Engineering Mathematics

A partial differential equation

is defined for the two-dimensional field T:T(x,y), inside a planar square domain of size 2m x 2m. Three boundary edges of the square domain are maintained at value T=50, whereas the fourth boundary edge is maintained at T=100. The value of T at the center of the domain is _______.

50.0

62.5

75.0

87.5

Ques 5 Engineering Mathematics

The statements P and Q are related to matrices A and B, which are conformable for both addition and multiplication.
P: (A + B)^T = A^T + B^T
Q: (AB)^T = A^TB^T
Which one of the following options is CORRECT?

P is TRUE and Q is FALSE

Both P and Q are TRUE

P is FALSE and Q is TRUE

Both P and Q are FALSE

Ques 6 Engineering Mathematics

The function f(x) = x³ - 27x + 4, 1 ≤ x ≤ 6 has _______.

Maxima point

Minima point

Saddle point

Inflection point

Ques 7 Engineering Mathematics

Consider two Ordinary Differential Equations (ODEs):
P: ^dy⁄_dx = ^{x⁴+3x²y²+2y⁴}⁄_x³y
Q: ^dy⁄_dx = ^-y²⁄_x²
Which one of the following options is CORRECT?

P is a homogeneous ODE and Q is an exact ODE.

P is a homogeneous ODE and Q is not an exact ODE.

P is a nonhomogeneous ODE and Q is an exact ODE.

P is a nonhomogeneous ODE and Q is not an exact ODE.

Ques 8 Engineering Mathematics

In a sample of 100 heart patients, each patient has 80% chance of having a heart attack without medicine X. It is clinically known that medicine X reduces the probability of having a heart attack by 50%. Medicine X is taken by 50 of these 100 patients. The probability that a randomly selected patient, out of the 100 patients, takes medicine X and has a heart attack is _______.

40%

60%

20%

30%

Ques 9 Engineering Mathematics

Three vectors $vec{p}$, $vec{q}$, and $vec{r}$ given as

Which of the following is/are CORRECT?

$vec{p}$ x ($vec{q}$ x $vec{r}$) + $vec{q}$ x ($vec{r}$ x $vec{p}$) + $vec{r}$ x ($vec{p}$ x $vec{q}$) = $vec{0}$

$vec{p}$ x ($vec{q}$ x $vec{r}$) = ($vec{p}$ • $vec{r}$) $vec{q}$ - ($vec{p}$ • $vec{q}$) $vec{r}$

$vec{p}$ x ($vec{q}$ x $vec{r}$) = ($vec{p}$ x $vec{q}$) x $vec{r}$

$vec{r}$ • ($vec{p}$ x $vec{q}$) = ($vec{q}$ x $vec{p}$) • $vec{r}$

Ques 10 Environmental Engineering

What is the CORRECT match between the air pollutants and treatment techniques given in the table?

P-i, Q-ii, R-iii, S-iv

P-ii, Q-i, R-iv, S-iii

P-ii, Q-iii, R-iv, S-i

P-iv, Q-iii, R-i, S-ii

Ques 11 Environmental Engineering

Which one of the following products is NOT obtained in anaerobic decomposition of glucose?

CO₂

CH₄

H₂S

H₂O

Ques 12 Environmental Engineering

A hypothetical multimedia filter, consisting of anthracite particles (specific gravity: 1.50), silica sand (specific gravity: 2.60), and ilmenite sand (specific gravity: 4.20), is to be designed for treating water/wastewater. After backwashing, the particles should settle forming three layers: coarse anthracite particles at the top of the bed, silica sand in the middle, and small ilmenite sand particles at the bottom of the bed. Assume the following:
(i) Slow discrete settling (Stoke's law is applicable)
(ii) All particles are spherical
(iii) Diameter of silica sand particles is 0.20 mm
The CORRECT option fulfilling the diameter requirements for this filter media is _______.

diameter of anthracite particles is slightly less than 0.35 mm and diameter of ilmenite particles is slightly greater than 0.141 mm.

diameter of anthracite particles is slightly greater than 0.35 mm and diameter of ilmenite particles is slightly less than 0.141 mm.

diameter of anthracite particles is slightly less than 0.64 mm and diameter of ilmenite particles is slightly less than 0.10 mm.

diameter of anthracite particles is slightly greater than 0.64 mm and diameter of ilmenite particles is slightly less than 0.10 mm.

Ques 13 Environmental Engineering

A circular settling tank is to be designed for primary treatment of sewage at a flow rate of 10 million liters/day. Assume a detention period of 2.0 hours and surface loading rate of 40000 liters/m²/day. The height (in meters) of the water column in the tank is _______. (rounded off to 2 decimal places).

3.47 is the correct answer.

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Civil Engineering GATE 2024 Set-I Questions with Answer