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LevelFE — Civil
SubjectFE — Civil
Year2025 BS
Exam sessionModel questions
Full marks110
Time allowed360 minutes
Questions10, all with step-by-step solutions
A

Civil Engineering

Select the best answer.

10 questions·1 mark each
1Multiple choice1 mark

A simply supported beam of span L=6mL = 6\,\text{m} carries a uniformly distributed load w=10kN/mw = 10\,\text{kN/m}. The maximum bending moment at midspan is:

Mmax=wL28M_{\max} = \frac{wL^2}{8}
  • a

    30kN\cdotm30\,\text{kN\cdot m}

  • b

    45kN\cdotm45\,\text{kN\cdot m}

  • c

    60kN\cdotm60\,\text{kN\cdot m}

  • d

    90kN\cdotm90\,\text{kN\cdot m}

Correct answer: b

45kN\cdotm45\,\text{kN\cdot m}

Mmax=wL28=10×628=3608=45kN\cdotmM_{\max} = \frac{wL^2}{8} = \frac{10 \times 6^2}{8} = \frac{360}{8} = 45\,\text{kN\cdot m}
structural-analysis
2Multiple choice1 mark

A soil sample has a void ratio e=0.80e = 0.80 and a specific gravity of solids Gs=2.65G_s = 2.65. The dry unit weight is (γw=9.81kN/m3\gamma_w = 9.81\,\text{kN/m}^3):

γd=Gsγw1+e\gamma_d = \frac{G_s \gamma_w}{1 + e}
  • a

    12.5kN/m312.5\,\text{kN/m}^3

  • b

    14.4kN/m314.4\,\text{kN/m}^3

  • c

    16.2kN/m316.2\,\text{kN/m}^3

  • d

    18.0kN/m318.0\,\text{kN/m}^3

Correct answer: b

14.4kN/m314.4\,\text{kN/m}^3

γd=Gsγw1+e=2.65×9.811.8014.4kN/m3\gamma_d = \frac{G_s \gamma_w}{1 + e} = \frac{2.65 \times 9.81}{1.80} \approx 14.4\,\text{kN/m}^3
geotechnical
3Multiple choice1 mark

A vehicle traveling at v=100km/hv = 100\,\text{km/h} with perception-reaction time tr=2.5st_r = 2.5\,\text{s} and deceleration a=3.4m/s2a = 3.4\,\text{m/s}^2. The stopping sight distance (SSD) is:

SSD=vtr+v22a\text{SSD} = v \cdot t_r + \frac{v^2}{2a}
  • a

    140m140\,\text{m}

  • b

    185m185\,\text{m}

  • c

    210m210\,\text{m}

  • d

    250m250\,\text{m}

Correct answer: b

185m185\,\text{m}

Convert v=100km/h=27.78m/sv = 100\,\text{km/h} = 27.78\,\text{m/s}.

SSD=27.78×2.5+27.7822×3.4=69.44+113.49185m\text{SSD} = 27.78 \times 2.5 + \frac{27.78^2}{2 \times 3.4} = 69.44 + 113.49 \approx 185\,\text{m}
transportation
4Multiple choice1 mark

Water flows through a pipe with diameter D=0.3mD = 0.3\,\text{m} at velocity v=2m/sv = 2\,\text{m/s}. The volumetric flow rate QQ is:

Q=πD24vQ = \frac{\pi D^2}{4} \cdot v
  • a

    0.071m3/s0.071\,\text{m}^3/\text{s}

  • b

    0.141m3/s0.141\,\text{m}^3/\text{s}

  • c

    0.283m3/s0.283\,\text{m}^3/\text{s}

  • d

    0.424m3/s0.424\,\text{m}^3/\text{s}

Correct answer: b

0.141m3/s0.141\,\text{m}^3/\text{s}

Q=π(0.3)24×2=0.07069×2=0.1414m3/sQ = \frac{\pi (0.3)^2}{4} \times 2 = 0.07069 \times 2 = 0.1414\,\text{m}^3/\text{s}
hydraulics
5Multiple choice1 mark

A wastewater treatment plant receives Q=5,000m3/dayQ = 5{,}000\,\text{m}^3/\text{day} with BOD C0=200mg/LC_0 = 200\,\text{mg/L}. If 90% BOD removal is achieved, the effluent BOD is:

  • a

    10mg/L10\,\text{mg/L}

  • b

    20mg/L20\,\text{mg/L}

  • c

    30mg/L30\,\text{mg/L}

  • d

    50mg/L50\,\text{mg/L}

Correct answer: b

20mg/L20\,\text{mg/L}

Ceff=200×(10.90)=20mg/LC_{\text{eff}} = 200 \times (1 - 0.90) = 20\,\text{mg/L}
environmental
6Multiple choice1 mark

A surveyor measures 500.00 m with a steel tape at 35C35^\circ\text{C} (standardized at 20C20^\circ\text{C}, α=1.17×105/C\alpha = 1.17 \times 10^{-5}/^\circ\text{C}). The temperature correction is:

Ct=αL(TT0)C_t = \alpha \cdot L \cdot (T - T_0)
  • a

    +0.058m+0.058\,\text{m}

  • b

    +0.088m+0.088\,\text{m}

  • c

    0.088m-0.088\,\text{m}

  • d

    +0.117m+0.117\,\text{m}

Correct answer: b

+0.088m+0.088\,\text{m}

Ct=1.17×105×500×15=0.08775+0.088mC_t = 1.17 \times 10^{-5} \times 500 \times 15 = 0.08775 \approx +0.088\,\text{m}
surveying
7Multiple choice1 mark

A concrete mix has w/c ratio of 0.45 and uses 350 kg/m\u00b3 of cement. The water content per cubic meter is:

  • a

    140kg/m3140\,\text{kg/m}^3

  • b

    157.5kg/m3157.5\,\text{kg/m}^3

  • c

    175kg/m3175\,\text{kg/m}^3

  • d

    200kg/m3200\,\text{kg/m}^3

Correct answer: b

157.5kg/m3157.5\,\text{kg/m}^3

Water=0.45×350=157.5kg/m3\text{Water} = 0.45 \times 350 = 157.5\,\text{kg/m}^3
construction
8Multiple choice1 mark

A cantilever beam of length L=4mL = 4\,\text{m} with point load P=20kNP = 20\,\text{kN} at the free end. Maximum deflection (EI=10,000kN\cdotm2EI = 10{,}000\,\text{kN\cdot m}^2):

δmax=PL33EI\delta_{\max} = \frac{PL^3}{3EI}
  • a

    21.3mm21.3\,\text{mm}

  • b

    42.7mm42.7\,\text{mm}

  • c

    64.0mm64.0\,\text{mm}

  • d

    85.3mm85.3\,\text{mm}

Correct answer: b

42.7mm42.7\,\text{mm}

δmax=20×6430,000=0.04267m=42.7mm\delta_{\max} = \frac{20 \times 64}{30{,}000} = 0.04267\,\text{m} = 42.7\,\text{mm}
structural-analysis
9Multiple choice1 mark

Water flows from a reservoir through an orifice at depth h=5mh = 5\,\text{m}. Theoretical jet velocity (g=9.81m/s2g = 9.81\,\text{m/s}^2):

v=2ghv = \sqrt{2gh}
  • a

    7.0m/s7.0\,\text{m/s}

  • b

    9.9m/s9.9\,\text{m/s}

  • c

    12.1m/s12.1\,\text{m/s}

  • d

    14.0m/s14.0\,\text{m/s}

Correct answer: b

9.9m/s9.9\,\text{m/s}

v=2×9.81×5=98.19.9m/sv = \sqrt{2 \times 9.81 \times 5} = \sqrt{98.1} \approx 9.9\,\text{m/s}
hydraulics
10Multiple choice1 mark

Ultimate bearing capacity of a strip footing on clay (ϕ=0\phi = 0) with c=80kPac = 80\,\text{kPa}, Nc=5.7N_c = 5.7, γ=18kN/m3\gamma = 18\,\text{kN/m}^3, Df=1.0mD_f = 1.0\,\text{m}, Nq=1.0N_q = 1.0:

qu=cNc+γDfNqq_u = cN_c + \gamma D_f N_q
  • a

    374kPa374\,\text{kPa}

  • b

    456kPa456\,\text{kPa}

  • c

    474kPa474\,\text{kPa}

  • d

    520kPa520\,\text{kPa}

Correct answer: c

474kPa474\,\text{kPa}

qu=80×5.7+18×1.0×1.0=456+18=474kPaq_u = 80 \times 5.7 + 18 \times 1.0 \times 1.0 = 456 + 18 = 474\,\text{kPa}

For ϕ=0\phi = 0, Nγ=0N_\gamma = 0.

geotechnical

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The FE — Civil FE — Civil 2025 paper carries 110 full marks and is meant to be completed in 360 minutes, across 10 questions.
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