50 Important Numerical MCQs for JKSSB JE Civil

 

50 Important Numerical MCQs for JKSSB JE Civil (Solved)

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1. Strength of Materials

1. A bar of length 2 m is subjected to axial tensile force of 50 kN. Area = 500 mm². Find the stress.

   • A. 50 MPa

   • B. 100 MPa ✅

   • C. 25 MPa

   • D. 75 MPa

   Solution: Stress = Force / Area = 50000 / 500 = 100 MPa

2. A mild steel rod of 1 m elongates by 1 mm under a load. What is the strain?

   • A. 0.001

   • B. 0.01

   • C. 0.0001 ✅

   • D. 0.1

   Strain = ΔL / L = 1 / 1000 = 0.001 = 0.001

3. If Young's Modulus = 200 GPa, and strain = 0.0005, find stress.

   • A. 10 MPa

   • B. 200 MPa ✅

   • C. 100 MPa

   • D. 250 MPa

   Stress = E × Strain = 200 × 10⁹ × 0.0005 = 100 × 10⁶ = 200 MPa

4. A cantilever of 2 m has a point load of 5 kN at free end. Find maximum bending moment.

   • A. 5 kNm

   • B. 10 kNm

   • C. 2.5 kNm

   • D. 10 kNm ✅

   M = W × L = 5 × 2 = 10 kNm

5. A simply supported beam has UDL of 10 kN/m over 4 m. Max BM?

   • A. 20 kNm

   • B. 10 kNm

   • C. 8 kNm

   • D. 20 kNm ✅

   M = wL² / 8 = 10 × 4² / 8 = 20 kNm

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2. RCC and Steel

6. For a singly reinforced RCC beam, d = 500 mm, Mu = 250 kNm. Find lever arm if moment of resistance = Mu.

   • A. 400 mm

   • B. 450 mm

   • C. 500 mm

   • D. 555.56 mm ✅

   M = 0.87 × fy × Ast × z ⇒ z = M / (0.87 × fy × Ast)

7. Modular ratio (m) = E_steel / E_concrete = ?

   • A. 10

   • B. 12

   • C. 13.33 ✅

   • D. 15

   E_steel = 2×10⁵ MPa, E_concrete = 15×10³ MPa ⇒ m = 200000/15000 = 13.33

8. A steel rod of 20 mm dia carries 20 kN. Find stress.

   • A. 50 MPa

   • B. 63.7 MPa ✅

   • C. 80 MPa

   • D. 90 MPa

   A = π/4 × d² = 314.16 mm² ⇒ Stress = 20000 / 314.16 = 63.7 MPa

9. Fe415 means:

   • A. Yield strength = 415 MPa ✅

   • B. UTS = 415 MPa

   • C. Elongation = 41.5%

   • D. None

10. Concrete mix 1:2:4 means:

• A. Cement:Sand:Aggregate ✅

• B. Cement:Aggregate:Sand

• C. Sand:Cement:Aggregate

• D. None

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3. Soil Mechanics

11. A soil has G = 2.7, and e = 0.6. Find dry density.

• A. 1.2 g/cc

• B. 1.6 g/cc ✅

• C. 2.0 g/cc

• D. 2.2 g/cc

γ_d = G × γ_w / (1 + e) = 2.7 × 1 / 1.6 = 1.6875 g/cc

12. A soil sample has void ratio = 0.5, porosity = ?

• A. 25%

• B. 33.33%

• C. 50% ✅

• D. 60%

n = e / (1 + e) = 0.5 / 1.5 = 0.3333 = 33.33%

13. Flow net has 5 flow channels and 10 equipotentials. H = 5 m. Find seepage.

• A. 0.25 k

• B. 2.5 k ✅

• C. 5.0 k

• D. 10 k

Q = k × H × Nf/Nd = k × 5 × 5/10 = 2.5k

14. Unconfined compression test gives failure load = 500 N on 50 mm dia. Find cohesion.

• A. 50 kPa

• B. 127.3 kPa

• C. 254.6 kPa ✅

• D. 100 kPa

A = πd²/4 = 1963.5 mm² ⇒ q_u = 500 / 1963.5 = 254.6 kPa ⇒ c = q_u / 2

15. A clay soil has liquid limit = 60%, plastic limit = 30%, water content = 40%. Find plasticity index.

• A. 30% ✅

• B. 20%

• C. 10%

• D. 15%

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4. Surveying

16. Staff reading at benchmark = 2.3 m, at unknown point = 0.8 m. RL of BM = 100 m. RL of point = ?

• A. 98.5

• B. 101.5 ✅

• C. 99.2

• D. 100.8

Rise = 2.3 - 0.8 = 1.5 ⇒ RL = 100 + 1.5 = 101.5 m

17. A 20 m tape was 0.1 m too long. What is correction for 100 m?

• A. +0.5 m

• B. -0.5 m ✅

• C. +1 m

• D. 0

Correction = L × (Δl / l) = 100 × (-0.1/20) = -0.5 m

18. An angle measured is 59°30′, true angle = 60°. Find error.

• A. -0°30′ ✅

• B. +0°30′

• C. 0

• D. 1°

19. Sensitivity of bubble tube is 20″/2 mm. If movement is 4 mm, angle = ?

• A. 10″

• B. 20″

• C. 40″ ✅

• D. 80″

20. Error due to slope in chaining 100 m at 1 in 10:

• A. 0.5 m

• B. 0.45 m ✅

• C. 1 m

• D. 2 m

Correction = L - √(L² - h²) ≈ h² / 2L = (10)² / (2 × 100) = 0.5 m

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5. Hydraulics & Fluid Mechanics

21. A pipe of diameter 0.3 m carries water at velocity of 2 m/s. Find discharge.

• A. 0.141 m³/s ✅

• B. 0.282 m³/s

• C. 0.3 m³/s

• D. 0.06 m³/s

A = πd²/4 = 0.0707 m² ⇒ Q = A × v = 0.0707 × 2 = 0.141 m³/s

22. Pressure head of 300 kPa = ? in meters

• A. 10

• B. 20

• C. 30

• D. 30.6 ✅

h = P / (ρg) = 300000 / (1000 × 9.81) = 30.6 m

23. Flow is laminar if Reynolds number is:

• A. < 2000 ✅

• B. > 4000

• C. 2500–5000

• D. > 6000

24. A rectangular channel 3 m wide, flow depth = 2 m, velocity = 3 m/s. Find discharge.

• A. 9 m³/s

• B. 12 m³/s

• C. 15 m³/s ✅

• D. 18 m³/s

Q = A × V = (3×2) × 3 = 18 m³/s

25. For a venturimeter, inlet area = 0.1 m², throat area = 0.05 m². If inlet velocity is 2 m/s, throat velocity?

• A. 4 m/s ✅

• B. 2 m/s

• C. 6 m/s

• D. 8 m/s

A1V1 = A2V2 ⇒ V2 = A1V1 / A2 = (0.1 × 2) / 0.05 = 4 m/s

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6. Transportation Engineering

26. Design speed = 60 kmph. Find stopping sight distance (SSD) if reaction time = 2.5 sec, f = 0.35.

• A. 54 m

• B. 70.1 m ✅

• C. 90 m

• D. 100 m

SSD = Vt + V² / (2gf) = 16.67×2.5 + (16.67)² / (2×9.81×0.35) = 70.1 m

27. Radius of curve = 100 m, superelevation (e) = 0.07. Find design speed.

• A. 45 kmph

• B. 52 kmph ✅

• C. 60 kmph

• D. 70 kmph

v = √(gRe) = √(9.81 × 100 × 0.07) = 8.3 m/s ≈ 30 kmph

28. Calculate number of repetitions for 20-year design if daily vehicles = 4500, growth rate = 7%

• A. 30 million

• B. 55 million

• C. 65 million ✅

• D. 90 million

N = 365×AADT × [(1+r)^n - 1]/r

29. Width of 2-lane road = ?

• A. 5.5 m ✅

• B. 7.5 m

• C. 9 m

• D. 3.5 m

30. Camber is provided for:

• A. Drainage ✅

• B. Speed

• C. Strength

• D. Friction

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7. Estimation, Costing & Valuation

31. Area of trapezoid with bases 4 m and 6 m, height 3 m:

• A. 10 m²

• B. 15 m² ✅

• C. 20 m²

• D. 18 m²

A = ½ × (a + b) × h = ½ × (4+6) × 3 = 15

32. Earthwork in a pit 20 m × 10 m × 2 m = ?

• A. 200 m³ ✅

• B. 300 m³

• C. 400 m³

• D. 500 m³

33. Volume of a cylinder of 3 m diameter and 4 m height?

• A. 28.27 m³

• B. 56.55 m³ ✅

• C. 60 m³

• D. 100 m³

V = πr²h = 3.14 × (1.5)² × 4 = 28.27 × 2 = 56.55

34. No. of bricks in 1 m³ (size = 190×90×90 mm)?

• A. 500

• B. 525

• C. 560 ✅

• D. 580

Volume of brick with mortar ≈ 0.002 m³ ⇒ 1/0.002 ≈ 500–560 bricks

35. For 12 mm thick plaster over 10 m², find quantity of mortar (1:6).

• A. 0.12 m³

• B. 0.15 m³ ✅

• C. 0.2 m³

• D. 0.25 m³

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8. CPM & Project Management

36. If an activity has optimistic time = 4, most likely = 6, pessimistic = 10, find expected time.

• A. 6

• B. 7

• C. 6.5 ✅

• D. 8

Te = (4 + 4×6 + 10)/6 = 6.5

37. Critical path is the:

• A. Longest duration path ✅

• B. Shortest path

• C. Fastest way

• D. Least cost

38. Activity float = ?

• A. LS - ES ✅

• B. LF - EF

• C. LF - LS

• D. EF - ES

39. If project duration = 30 days, penalty is Rs. 1000/day. Delay = 5 days. Total penalty?

• A. Rs. 3000

• B. Rs. 5000 ✅

• C. Rs. 7000

• D. Rs. 10000

40. Time cost trade-off is done to:

• A. Delay work

• B. Maximize cost

• C. Minimize time ✅

• D. None

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9. Environmental Engineering

41. Daily water demand for 5,000 people @ 135 LPCD = ?

• A. 0.5 MLD

• B. 0.675 MLD ✅

• C. 1.0 MLD

• D. 2.0 MLD

Demand = 5000 × 135 = 675000 L/day = 0.675 MLD

42. BOD removal in primary treatment = ?

• A. 20–30% ✅

• B. 50%

• C. 70%

• D. 90%

43. A sedimentation tank removes particles of specific gravity 2.65. What helps settling?

• A. Gravity ✅

• B. Pressure

• C. Viscosity

• D. Temperature

44. COD = 250 mg/L, BOD = 150 mg/L. Waste is:

• A. Easily biodegradable ✅

• B. Not treatable

• C. Toxic

• D. None

45. Quantity of bleaching powder for 1000 L at 2 ppm?

• A. 1 g

• B. 2 g ✅

• C. 5 g

• D. 10 g

2 mg/L × 1000 = 2000 mg = 2 g

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10. Miscellaneous (Construction, Building Materials)

46. 1 bag of cement = ?

• A. 40 kg

• B. 50 kg ✅

• C. 60 kg

• D. 25 kg

47. Compressive strength of M20 concrete = ?

• A. 20 N/mm² ✅

• B. 25 N/mm²

• C. 30 N/mm²

• D. 15 N/mm²

48. Fineness modulus of sand is:

• A. < 2.2

• B. 2.2–3.2 ✅

• C. 4.0

• D. > 5

49. Initial setting time of OPC = ?

• A. 10 min

• B. 30 min ✅

• C. 1 hour

• D. 3 hours

50. Water-cement ratio for M20 = ?

• A. 0.4

• B. 0.45 ✅

• C. 0.5

• D. 0.6

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