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GATE 2024 CE (Set 2) question paper PDF and answer key

The official GATE 2024 Civil Engineering (Set 2) paper, organised by IISc Bengaluru: 65 questions for 100 marks in 3 hours. Download the official question paper and answer key as PDFs. Below is how the marks were split by topic, the complete official answer key and 5 questions solved step by step.

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Question paper (PDF)Official answer key (PDF)

Source: the official paper and answer key published by IISc Bengaluru for GATE 2024 (official GATE site). Spotted a mistake? Email team@lemyte.com.

General Aptitude
10 · 15 marks
Civil Engineering
55 · 85 marks
MCQ / MSQ / NAT
40 / 3 / 22
Marks to all
None

Not in 2027 1 question (Q 37) is on topics removed from the GATE 2027 syllabus. They are marked in the answer key below. What changed for CE

Where the marks were

GATE 2024 CE (Set 2) topic-wise marks

Civil Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 40 of the 85 subject marks.

TopicQuestionsMarks
Structural Engineering1015
Geotechnical Engineering813
Water Resources Engineering712
Transportation Engineering711
Construction Materials and Management58
Environmental Engineering58
Geomatics Engineering57
Linear Algebra35
Probability and Statistics12
Partial Differential Equations11
Numerical Methods11
Calculus11
Ordinary Differential Equations11

Free solved questions

5 solved questions from GATE 2024 CE (Set 2)

Question text and figures as in the official paper, the answer from the official key, and a worked solution. The other 60 solutions are in your report after you take the paper.

Q4 · General Aptitude · MCQ · 1 mark

The sum of the first 20 consecutive positive odd integers is divided by 20220^2. What is the result?

  • (A)
    1
  • (B)
    20
  • (C)
    2
  • (D)
    1/21/2

Answer (official key): A

Solution

The sum of the first nn positive odd integers is

1+3+⋯+(2n−1)=n2.1+3+\cdots+(2n-1)=n^2.

For n=20n=20, the numerator is 20220^2, hence

202202=1.\frac{20^2}{20^2}=1.

Therefore, the correct answer is Option A.

Q5 · General Aptitude · MCQ · 1 mark

The girls-to-boys ratio in class VIII equals the boys-to-girls ratio in class IX. The total numbers of students in classes VIII and IX are 450 and 360, respectively. The two classes contain the same number of girls.

How many girls are there in each class?

  • (A)
    150
  • (B)
    200
  • (C)
    250
  • (D)
    175

Answer (official key): B

Solution

Let the common number of girls be gg.

Then boys in class VIII are 450−g450-g, while boys in class IX are 360−g360-g. The ratio condition gives

g450−g=360−gg.\frac{g}{450-g}=\frac{360-g}{g}.

Hence

g2=(450−g)(360−g).g^2=(450-g)(360-g).

After cancellation,

810g=162000,810g=162000,

so

g=200.g=200.

Therefore, the correct answer is Option B.

Q16 · Structural Engineering · MCQ · 1 mark

A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertically downward force at 1 m from P, as shown in the figure. The beam is resting on vertical linear springs at the ends P and Q. For the spring at the end P, the spring constant KPK_P = 100 kN/m.

Rigid beam on two springs

(Figure NOT to scale)

If the beam DOES NOT rotate under the application of the force and displaces only vertically, the value of the spring constant KQK_Q (in kN/m) for the spring at the end Q is

  • (A)
    150 kN/m
  • (B)
    100 kN/m
  • (C)
    50 kN/m
  • (D)
    200 kN/m

Answer (official key): C

Solution

Beam equilibrium gives

RQ(3)=3(1),R_Q(3)=3(1),

so

RQ=1 kN,RP=2 kN.R_Q=1\text{ kN}, \qquad R_P=2\text{ kN}.

No rotation means both spring deflections are equal:

RPKP=RQKQ.\frac{R_P}{K_P}=\frac{R_Q}{K_Q}.

Therefore,

2100=1KQ,\frac{2}{100}=\frac{1}{K_Q},

giving

KQ=50 kN/m.K_Q=50\text{ kN/m}.

Therefore, the correct answer is Option C.

Q44 · Linear Algebra · MSQ · 2 marks

Three vectors p⃗\vec p, q⃗\vec q, and r⃗\vec r are

p⃗=i^+j^+k^,\vec p=\hat i+\hat j+\hat k, q⃗=i^+2j^+3k^,\vec q=\hat i+2\hat j+3\hat k, r⃗=2i^+3j^+4k^.\vec r=2\hat i+3\hat j+4\hat k.

Which of the following is/are CORRECT?

  • (A)
    p⃗×(q⃗×r⃗)+q⃗×(r⃗×p⃗)+r⃗×(p⃗×q⃗)=0⃗\vec p\times(\vec q\times\vec r)+\vec q\times(\vec r\times\vec p)+\vec r\times(\vec p\times\vec q)=\vec0
  • (B)
    p⃗×(q⃗×r⃗)=(p⃗⋅r⃗)q⃗−(p⃗⋅q⃗)r⃗\vec p\times(\vec q\times\vec r)=(\vec p\cdot\vec r)\vec q-(\vec p\cdot\vec q)\vec r
  • (C)
    p⃗×(q⃗×r⃗)=(p⃗×q⃗)×r⃗\vec p\times(\vec q\times\vec r)=(\vec p\times\vec q)\times\vec r
  • (D)
    r⃗⋅(p⃗×q⃗)=(q⃗×p⃗)⋅r⃗\vec r\cdot(\vec p\times\vec q)=(\vec q\times\vec p)\cdot\vec r

Answer (official key): A, B

Solution

Statement (A) is the Jacobi identity for the cross product:

p⃗×(q⃗×r⃗)+q⃗×(r⃗×p⃗)+r⃗×(p⃗×q⃗)=0⃗.\vec p\times(\vec q\times\vec r) + \vec q\times(\vec r\times\vec p) + \vec r\times(\vec p\times\vec q) = \vec0.

Hence (A) is true.

Statement (B) is the standard vector triple-product identity:

p⃗×(q⃗×r⃗)=(p⃗⋅r⃗)q⃗−(p⃗⋅q⃗)r⃗.\vec p\times(\vec q\times\vec r) = (\vec p\cdot\vec r)\vec q - (\vec p\cdot\vec q)\vec r.

Hence (B) is true.

Statement (C) is false in general because the cross product is not associative.

For the printed vectors,

r⃗=p⃗+q⃗.\vec r=\vec p+\vec q.

Therefore the scalar triple product

r⃗⋅(p⃗×q⃗)=0.\vec r\cdot(\vec p\times\vec q)=0.

Also,

(q⃗×p⃗)⋅r⃗=−r⃗⋅(p⃗×q⃗)=0.(\vec q\times\vec p)\cdot\vec r = -\vec r\cdot(\vec p\times\vec q) = 0.

So for these particular printed vectors, statement (D) also evaluates true.

However, the official GATE 2024 CE2 answer key lists only A and B (statement (D) is not true for arbitrary vectors, which is presumably the intended reading).

Therefore, the official keyed answers are Options A and B.

Q53 · Geotechnical Engineering · Numerical · 2 marks

A homogeneous earth dam has a maximum water-head difference of 15 m between the upstream and downstream sides. A flownet has 10 potential drops and the average length of the element is 3 m. The specific gravity of soil is 2.65.

For a factor of safety of 2.0 against piping failure, the void ratio of the soil is ______ (rounded off to 2 decimal places).

Answer (official key): 0.63 to 0.67

Solution

Head loss per potential drop is

Δh=1510=1.5 m.\Delta h=\frac{15}{10}=1.5\text{ m}.

Using the average element length 3 m, the hydraulic gradient is

i=1.53=0.5.i=\frac{1.5}{3}=0.5.

Factor of safety against piping is

FS=ici=2,FS=\frac{i_c}{i}=2,

so

ic=1.0.i_c=1.0.

For saturated soil,

ic=Gs−11+e.i_c=\frac{G_s-1}{1+e}.

Therefore,

1=2.65−11+e=1.651+e.1 = \frac{2.65-1}{1+e} = \frac{1.65}{1+e}.

Thus

e=0.65.e=0.65.

Therefore, the answer is 0.65 (official accepted range 0.63 to 0.67).

The other 60 questions are solved in your report when you take GATE 2024 CE (Set 2) as a 3-hour test.

Take GATE 2024 CE (Set 2) as a test

Official answer key

GATE 2024 CE (Set 2) answer key

All 65 answers from the official key. Numerical answers are ranges; “or” means the key accepts either answer.

Download the official GATE 2024 CE (Set 2) answer key (PDF)
QTopicTypeMarksAnswer
1Verbal AptitudeMCQ1A
2Analytical AptitudeMCQ1B
3Quantitative AptitudeMCQ1D
4Quantitative AptitudeMCQ1A
5Quantitative AptitudeMCQ1B
6Verbal AptitudeMCQ2D
7Quantitative AptitudeMCQ2B
8Analytical AptitudeMCQ2C
9Spatial AptitudeMCQ2A
10Spatial AptitudeMCQ2A
11Partial Differential EquationsMCQ1B
12Linear AlgebraMCQ1A
13Numerical MethodsMCQ1A
14CalculusMCQ1B
15Ordinary Differential EquationsMCQ1B
16Structural EngineeringMCQ1C
17Construction Materials and ManagementMCQ1A
18Structural EngineeringMCQ1C
19Construction Materials and ManagementMCQ1A
20Structural EngineeringMCQ1D
21Structural EngineeringMCQ1A
22Geotechnical EngineeringMCQ1B
23Geotechnical EngineeringMCQ1D
24Water Resources EngineeringMCQ1B
25Environmental EngineeringMCQ1D
26Environmental EngineeringMCQ1C
27Transportation EngineeringMCQ1C
28Transportation EngineeringMCQ1B
29Transportation EngineeringMCQ1A
30Geomatics EngineeringMCQ1B
31Geomatics EngineeringMCQ1B
32Geomatics EngineeringMCQ1B
33Structural EngineeringNumerical11.75 to 1.85
34Geotechnical EngineeringNumerical1545 to 555
35Water Resources EngineeringNumerical12.88 to 2.94
36Probability and StatisticsMCQ2C
37Structural EngineeringNot in GATE 2027 syllabus: Free vibration of undamped SDOF systemsMCQ2A
38Construction Materials and ManagementMCQ2A
39Structural EngineeringMCQ2A
40Geotechnical EngineeringMCQ2A
41Water Resources EngineeringMCQ2A
42Environmental EngineeringMCQ2A
43Transportation EngineeringMCQ2B
44Linear AlgebraMSQ2A, B
45Geotechnical EngineeringMSQ2C, D
46Transportation EngineeringMSQ2A, C, D
47Construction Materials and ManagementNumerical25.11 to 5.15
48Linear AlgebraNumerical210
49Structural EngineeringNumerical21.176 to 1.186
50Structural EngineeringNumerical2150
51Structural EngineeringNumerical23.2 to 3.4
52Construction Materials and ManagementNumerical230
53Geotechnical EngineeringNumerical20.63 to 0.67
54Geotechnical EngineeringNumerical20.12 to 0.14
55Geotechnical EngineeringNumerical230
56Water Resources EngineeringNumerical20.64 to 0.65
57Water Resources EngineeringNumerical20.7 to 0.8
58Water Resources EngineeringNumerical2102 to 106
59Water Resources EngineeringNumerical23.3 to 3.7
60Environmental EngineeringNumerical23.25 to 3.4
61Environmental EngineeringNumerical29.9 to 10.2
62Transportation EngineeringNumerical2113 to 116
63Transportation EngineeringNumerical2117 to 120
64Geomatics EngineeringNumerical26 to 8
65Geomatics EngineeringNumerical2199.704 to 199.706

Questions about GATE 2024 CE (Set 2)

How many questions are in the GATE 2024 CE (Set 2) paper?

65 questions for 100 marks: 10 General Aptitude questions worth 15 marks and 55 Civil Engineering questions worth 85 marks. By type, there were 40 MCQs, 3 MSQs, 22 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2024 CE (Set 2)?

Yes, for MCQs only. A wrong MCQ answer costs one-third of its marks (−⅓ for a 1-mark question, −⅔ for a 2-mark question). MSQ and numerical (NAT) questions have no negative marking, and an MSQ earns marks only when every correct option is chosen.

Which topics carried the most marks in GATE 2024 CE (Set 2)?

Outside General Aptitude, the biggest topics were Structural Engineering (15 marks), Geotechnical Engineering (13 marks), Water Resources Engineering (12 marks). The full topic-wise split is in the table on this page.

Were any GATE 2024 CE (Set 2) questions awarded marks to all?

No. Every question was graded with the answer in the official key.

Where does this GATE 2024 CE (Set 2) answer key come from?

From the official answer key published by IISc Bengaluru, which organised GATE 2024. Range answers for numerical questions and questions with more than one accepted answer are kept exactly as the key gives them.

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