GATE 2022 CE (Set 2) question paper PDF and answer key

The official GATE 2022 Civil Engineering (Set 2) paper, organised by IIT Kharagpur: 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.

Source: the official paper and answer key published by IIT Kharagpur for GATE 2022 (official GATE site). Spotted a mistake? Email team@lemyte.com.

General Aptitude
10 · 15 marks
Civil Engineering
55 · 85 marks
MCQ / MSQ / NAT
33 / 7 / 25
Marks to all
Q 12

Not in 2027 2 questions (Q 37, 39) are 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 2022 CE (Set 2) topic-wise marks

Civil Engineering questions only; General Aptitude adds 15 marks on top. The top three topics carried 45 of the 85 subject marks.

TopicQuestionsMarks
Structural Engineering1017
Environmental Engineering915
Geotechnical Engineering913
Transportation Engineering712
Water Resources Engineering710
Calculus34
Linear Algebra34
Partial Differential Equations23
Construction Materials and Management23
Probability and Statistics23
Geomatics Engineering11

Free solved questions

5 solved questions from GATE 2022 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.

Q5 · General Aptitude · MCQ · 1 mark

Source figure

For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?

  • (A)
    Source figure
  • (B)
    Source figure
  • (C)
    Source figure
  • (D)
    Source figure

Answer (official key): A

Solution

Reflection in a vertical line maps (x,y)(x,y) to (2xm−x,y)(2x_m-x,y): left and right are reversed while height is unchanged. The smaller polygon moves from below-right of the larger polygon to below-left, and every shaded triangular sector must reverse horizontally. Visual comparison of these positions and shaded sectors matches A.

Therefore, the correct answer is A.

Q6 · General Aptitude · MCQ · 2 marks

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated through sales in their shops is generally low. Which is the correct logical inference?

  • (A)
    Fewer people are visiting the malls but spending more
  • (B)
    More people are visiting the malls but not spending enough
  • (C)
    More people are visiting the malls and spending more
  • (D)
    Fewer people are visiting the malls and not spending enough

Answer (official key): B

Solution

The passage contrasts high visitor numbers with low sales revenue. B expresses that contrast. The passage does not provide a historical spending series, so this is an inference from its wording, not an independently measured trend.

Therefore, the correct answer is B.

Q25 · Linear Algebra · MSQ · 1 mark

P and Q are two square matrices of the same order. Which of the following statement(s) is/are correct?

  • (A)
    If P and Q are invertible, then (PQ)−1=Q−1P−1(PQ)^{-1} = Q^{-1}P^{-1}.
  • (B)
    If P and Q are invertible, then (QP)−1=P−1Q−1(QP)^{-1} = P^{-1}Q^{-1}.
  • (C)
    If P and Q are invertible, then (PQ)−1=P−1Q−1(PQ)^{-1} = P^{-1}Q^{-1}.
  • (D)
    If P and Q are not invertible, then (PQ)−1=Q−1P−1(PQ)^{-1} = Q^{-1}P^{-1}.

Answer (official key): A, B

Solution

PQ(Q−1P−1)=PIP−1=IPQ(Q^{-1}P^{-1})=PIP^{-1}=I, and multiplication in the other order also gives I. Interchanging P and Q proves B. C requires additional commutativity and is not generally true. In D the asserted inverse factors do not exist; for finite square matrices, a singular factor also makes the product singular.

Therefore, the correct answers are A, B.

Q57 · Water Resources Engineering · Numerical · 2 marks

A pump with an efficiency of 80% is used to draw groundwater from a well for irrigating a flat field of area 108 hectares. The base period and delta for paddy crop on this field are 120 days and 144 cm, respectively. Water application efficiency in the field is 80%. The lowest level of water in the well is 10 m below the ground. The minimum required horse power (h.p.) of the pump is ________. (round off to two decimal places)

(Consider 1 h.p. = 746 W; unit weight of water = 9810 N/m³)

Answer (official key): 30 to 32

Solution

Net crop volume is 108(104)(1.44)=1555200108(10^4)(1.44)=1555200 m³. At 80% field efficiency the pumped volume is 1944000 m³. Continuous pumping for 120(86400)120(86400) s gives Q=0.1875 m³/s. With the minimum stated lift H=10 m and pump efficiency 0.8, input power is 9810(0.1875)(10)/0.8=22992.18759810(0.1875)(10)/0.8=22992.1875 W, or 22992.1875/746=30.820626722992.1875/746=30.8206267 hp, rounding to 30.82 hp. This minimum assumes continuous operation and no additional pipe losses, since neither operating hours nor losses are supplied.

Therefore, the answer lies in the range 30.00 to 32.00.

Q63 · Transportation Engineering · Numerical · 2 marks

Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams (P) and (Q) as shown in the schematic is _______ kmph. (in integer)

Source figure

Answer (official key): 15

Solution

Densities are kP=1200/60=20k_P=1200/60=20 vehicles/km and kQ=1800/30=60k_Q=1800/30=60 vehicles/km. Conservation across the interface gives w=(qQ−qP)/(kQ−kP)=(1800−1200)/(60−20)=15w=(q_Q-q_P)/(k_Q-k_P)=(1800-1200)/(60-20)=15 km/h in the traffic direction. The two states also lie on the line v=75−0.75kv=75-0.75k, consistent with a Greenshields relation.

Therefore, the answer is 15.

The other 60 questions are solved in your report when you take GATE 2022 CE (Set 2) as a 3-hour test.

Take GATE 2022 CE (Set 2) as a test

Official answer key

GATE 2022 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 2022 CE (Set 2) answer key (PDF)
QTopicTypeMarksAnswer
1Verbal AptitudeMCQ1C
2Quantitative AptitudeMCQ1B
3Quantitative AptitudeMCQ1C
4Analytical AptitudeMCQ1D
5Spatial AptitudeMCQ1A
6Verbal AptitudeMCQ2B
7Quantitative AptitudeMCQ2D
8Analytical AptitudeMCQ2D
9Analytical AptitudeMCQ2D
10Spatial AptitudeMCQ2C
11Partial Differential EquationsMCQ1C
12CalculusMCQ1Marks to all
13Structural EngineeringMCQ1A
14Structural EngineeringMCQ1A
15Construction Materials and ManagementMCQ1A
16Structural EngineeringMCQ1A
17Geotechnical EngineeringMCQ1A
18Geotechnical EngineeringMCQ1A
19Water Resources EngineeringMCQ1A
20Water Resources EngineeringMCQ1A
21Water Resources EngineeringMCQ1A
22Environmental EngineeringMCQ1A
23Probability and StatisticsMCQ1A
24Geomatics EngineeringMCQ1A
25Linear AlgebraMSQ1A, B
26Environmental EngineeringMSQ1A, B
27Environmental EngineeringMSQ1C
28Transportation EngineeringMSQ1B, D
29CalculusNumerical10.39 to 0.41
30Linear AlgebraNumerical132
31Geotechnical EngineeringNumerical149.49 to 49.52
32Geotechnical EngineeringNumerical14.35 to 4.39
33Geotechnical EngineeringNumerical175
34Water Resources EngineeringNumerical163 to 63.5
35Transportation EngineeringNumerical11602 to 1606
36CalculusMCQ2B
37Structural EngineeringNot in GATE 2027 syllabus: Free vibration of undamped SDOF systemsMCQ2A
38Structural EngineeringMCQ2A
39Structural EngineeringNot in GATE 2027 syllabus: Prestressed concreteMCQ2A
40Geotechnical EngineeringMCQ2A
41Geotechnical EngineeringMCQ2A
42Environmental EngineeringMCQ2A
43Environmental EngineeringMCQ2A
44Transportation EngineeringMCQ2A
45Linear AlgebraMSQ2A, B
46Structural EngineeringMSQ2A, B, C
47Water Resources EngineeringMSQ2A, B, C
48Partial Differential EquationsNumerical22
49Probability and StatisticsNumerical20.018 to 0.02
50Structural EngineeringNumerical247 to 53
51Structural EngineeringNumerical2620 to 660
52Structural EngineeringNumerical20.35 to 0.4
53Construction Materials and ManagementNumerical21
54Geotechnical EngineeringNumerical211000 to 11200
55Geotechnical EngineeringNumerical250
56Water Resources EngineeringNumerical20.2 to 0.41
57Water Resources EngineeringNumerical230 to 32
58Environmental EngineeringNumerical28
59Environmental EngineeringNumerical224
60Environmental EngineeringNumerical210
61Environmental EngineeringNumerical2102 to 108
62Transportation EngineeringNumerical2270 to 275
63Transportation EngineeringNumerical215
64Transportation EngineeringNumerical28
65Transportation EngineeringNumerical237

Questions about GATE 2022 CE (Set 2)

How many questions are in the GATE 2022 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 33 MCQs, 7 MSQs, 25 numerical answer (NAT) questions. The paper lasted 3 hours.

Is there negative marking in GATE 2022 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 2022 CE (Set 2)?

Outside General Aptitude, the biggest topics were Structural Engineering (17 marks), Environmental Engineering (15 marks), Geotechnical Engineering (13 marks). The full topic-wise split is in the table on this page.

Were any GATE 2022 CE (Set 2) questions awarded marks to all?

Yes. The official key awarded full marks to everyone for question 12.

Where does this GATE 2022 CE (Set 2) answer key come from?

From the official answer key published by IIT Kharagpur, which organised GATE 2022. 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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