Civil Engineering Gate Yearwise 

Civil Engineering GATE 2024 Set 1 Questions with Answer

Ques 1 Construction Management

Consider the statements P and Q.
P: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase.
Q: Client's Detailed Estimate is used for controlling costs during the execution of the project.
Which one of the following options is CORRECT?

A

Both P and Q are TRUE

B

P is TRUE and Q is FALSE

C

Both P and Q are FALSE

D

P is FALSE and Q is TRUE



Ques 2 Construction Management

The initial cost of an equipment is Rs. 1,00,000. Its salvage value at the end of accounting life of 5 years is Rs. 10,000. The difference in depreciation (in Rs.) computed using 'double-declining balance method' and 'straight line method of depreciation' in Year-2 is _______. (in positive integer).


12000 is the correct answer.


Ques 3 Construction Materials

Concrete of characteristic strength 30 MPa is required. If 40 specimens of concrete cubes are to be tested, the minimum number of specimens having at least 30 MPa strength should be _______.

A

35

B

37

C

38

D

39



Ques 4 Construction Materials

Which one of the following statements related to bitumen is FALSE?

A

Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity.

B

Softer grade bitumen possesses higher softening point than hard grade bitumen.

C

Flash point of bitumen is the lowest temperature at which application of a test flame causes vapours of the bitumen to catch an instant fire in the form of flash under specified test conditions.

D

Ductility test is carried out on bitumen to test flame to stretch.



Ques 5 Construction Technology

The following figure shows the arrangement of formwork for casting a cantilever RC beam.

The correct sequence of removing the Shores/Props is _______.

A

S1 S2 S3 S4 S5

B

S5 S4 S3 S2 S1

C

S3-S2 S4-S1-S5

D

S3 S4-S2 S5-S1



Ques 6 Engineering Mathematics

The smallest positive root of the equation
x5 - 5 x4 - 10 x3 + 50 x2 + 9 x - 45 = 0
lies in the range _______.

A

0 < x ≤ 2

B

2 < x ≤ 4

C

6 ≤ x ≤ 8

D

10 ≤ x ≤ 100



Ques 7 Engineering Mathematics

The second-order differential equation in an unknown function 𝑢: 𝑢(𝑥, 𝑦) is defined as
∂2𝑢/∂𝑥2 = 2
Assuming 𝑔: 𝑔(𝑥), 𝑓: 𝑓(𝑦), and ℎ: ℎ(𝑦), the general solution of the above differential equation is

A

u = x2 + f(y) + g(x)

B

u = x2 + x f(y) + h(y)

C

u = x2 + x f(y) + g(x)

D

u = x2 + f(y) + y g(x)



Ques 8 Engineering Mathematics

The probability that a student passes only in Mathematics is 1⁄3. The probability that the student passes only in English is 1⁄6. The probability that the student passes in both of these subjects is 4⁄9. The probability that the student will pass in at least one of these two subjects is _______.

A

17⁄18

B

11⁄18

C

14⁄18

D

1⁄18



Ques 9 Engineering Mathematics

For the following partial differential equation,
x ∂2f⁄∂x2 + y ∂2f⁄∂y2 = x2+y2⁄2
which of the following option(s) is/are CORRECT?

A

elliptic for x > 0 and y > 0

B

parabolic for x > 0 and y > 0

C

elliptic for x = 0 and y > 0

D

hyperbolic for x < 0 and y > 0



Ques 10 Engineering Mathematics

Consider the data of f(x) given in the table.
The value of f(1.5) estimated using second-order Newton's interpolation formula is _______. (rounded off to 2 decimal places).


0.39 is the correct answer.


Ques 11 Engineering Mathematics

What are the eigenvalues of the matrix

?

A

1, 2, 5

B

1, 3, 4

C

-5, 1, 2

D

-5, -1, 2



Ques 12 Engineering Mathematics

A vector field $vec{p}$ and a scalar field r are given by
$vec{p}=(2x^{2}-3xy+z^{2})hat{i}+(2y^{2}-3yz+x^{2})hat{j}+(2z^{2}-3xz+x^{2})hat{k}$ r = 6x2 + 4y2 - z2 - 9xyz - 2xy + 3xz - yz
Consider
P: The divergence of vector field $vec{p}$ is zero.
Q: The curl of vector field r is a null vector.
Which one of the following options is CORRECT?

A

Both P and Q are FALSE

B

P is TRUE and Q is FALSE

C

P is FALSE and Q is TRUE

D

Both P and Q are TRUE



Ques 13 Engineering Mathematics

The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it will be exceeded at least once in 50 years is _______%. (rounded off to the nearest integer).


22 is the correct answer.


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