Assam JLEE 2024 Question Paper Civil Engineering

Section – Mathematics

1
1. If z ≠ 0 be a complex number such that |𝑧 − 𝑧| = 2 , then the maximum value of |𝑧| is

A) √2 B) 1
C) √2 − 1 D) √2 + 1
1
2. The conjugate of a complex number is ⅈ−1 then that complex number is
−1 −1
A) ⅈ−1 B) ⅈ+1
1 1
C) ⅈ+1 D) ⅈ−1

3. if f(x) is a quadratic equation such that f(1) + f(2) = 0, and -1 is a root of f(x) = 0 then the other root of f(x)
= 0 is
−5 −8
A) 8 B) 5
5 8
C) 8 D) 5

3𝑥 2 +9𝑥+17
4. If x is real the maximum value of 3𝑥 2 +9𝑥+7 is
1
A) 4 B) 41
17
C) 1 D) 7

5. The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without
repetition, is
A) 120 B) 72
C) 216 D) 192

𝑥𝑛 −3𝑛
6. The positive integer n so that lim ( 𝑥−3 ) = 108 is
𝑥→1
A) 1 B) 2
C) 3 D) 4

7. The value of lim(Sinx)𝑡𝑎𝑛𝑥 is
𝑥→0
A) 1 B) 1/2
C) 1/e D) e
𝑛+2𝐶
8. If 𝑛+2 6 = 11, then n satisfies the equation
𝑃2

A) n2 + n – 110 = 0 B) n2 + 2n – 80 = 0
C) n2 + 3n – 108 = 0 D) n2 + 5n – 84 = 0

9. If the 10th term of an AP id 1/20 and its 20th term is 1/10, then the sum of its first 200 terms is
1
A) 50 B) 50 4
1
C) 100 D) 100 2

10. If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and
(2,4) in the ratio 3:2, then k is equal to

29
A) 5 B) 5
11
C) 6 D) 5

2−𝑘 2
11. if A = is a singular matrix, then the value of 5k – k2 is
1 3−𝑘
A) 0 B) 6
C) -4 D) 4
𝑏
12. If tanx = 𝑎, then the value of acos2x + bsin2x is
A) a B) a - b
C) a + b D) b

13. If tanA and tanB are the roots of x2 - ax + b = 0, then the value of sin2(A + B) is
𝑎2 𝑎2
A) 𝑎2+ (1−𝑏2) B) 𝑎2 + 𝑏2
𝑎2 𝑏2
C) (𝑎+𝑏)2 D) 𝑎2+ (𝑎−𝑏)2

14. The equation of the normal of x2 + y2 – 2x + 4y – 5 = 0 at (2, 1) is
A) y = 3x - 5 B) 2y = 3x - 4
C) y = 3x + 4 D) y = x + 1

15. Let P(x) be a quadratic polynomial such that P(0) =1. If p(x) leaves remainder 4 when divided by x - 1 and
it leaves remainder 6 when divided by x + 1; then
A) P (2) = 11 B) P (2) = 19
C) P (-2) = 19 D) P (-2) = 11

16. The number of ways of selecting 15 teams from 15 men and 15 women, such that each team consists of
a man and a woman, is
A) 1120 B) 1840
C) 1960 D) 1240

17. Let f(X) = x – [x] then xx then f(1/2) is
3
A) 2 B) 1
C) 0 D) -1
1+23 +33 +⋯+𝑛3
18. The value of lim ( ) is equal to
𝑛→∞ 𝑛4
A) 0 B) 2
1 1
C) 3 D) 4
𝑑𝑦
19. If 𝑥 𝑦 𝑦 𝑥 = 16 , then the value of 𝑑𝑥 at (2, 2) is
A) 0 B) 1
C) -1 D) 2

20. The area under the curve y = x2 and the lines x= -1, x = 2 and X- axis is
A) 3 sq. units B) 5 sq. units
C) 7 sq. units D) 9 sq. units

21. The total area enclosed b y = |x|, |x| - 1 and y = 0 is
A) 1 sq. unit B) 2 sq. unit
C) 3 sq. unit D) 4 sq. unit
𝑛 𝑛 𝑛
22. If ( ), ( ), and ( ) are in A.P., then 𝑛 can be
4 5 6
A) 9 B) 14
C) 11 D) 12
3
23. The sum of ∑21
𝑛=1 (4𝑛−1) (4𝑛+3) is equal to
7 7
A) 87 B) 29
14 21
C) 87 D) 29

1 𝑡𝑎𝑛θ
24. If A(θ) = and AB = I, then (sec2θ) B is equal to
− 𝑡𝑎𝑛θ 1
A) A(θ) B) A (θ/2)
C) A (-θ) D) A (-θ/2)

𝑥 −2 7/34 1/17
25. If A = and A-1 and A-1 = , then the value of x is
3 7 −3/34 2/17
A) -3 B) 3
C) 4 D) -4

26. The maximum value of 𝑓 (𝑥) = 𝑠𝑖𝑛 𝑥 (1 + 𝑐𝑜𝑠 𝑥) is
3 3
A)√3/4 B) √3/2
3
C) √3 D) √3
1 1
27. The value of 𝑐𝑜𝑠 290 + √3𝑠ⅈ𝑛 250 is
√3 4
A) 4 B)
√3
2 √3
C) √3 D) 2

28. if the points (3q, 0), (0,3p) and (1,1) are collinear, then which one of the following is correct?
1 1 1 1
A) 𝑝 + 𝑞 = 0 B) 𝑝 + 𝑞 = 1
1 1 1 3
C) 𝑝 + 𝑞 = 3 D) 𝑝 + 𝑞 = 1

29. If the line 𝑦 = 7𝑥 − 25 meets the circle 𝑥 2 + 𝑦 2 = 25 points 𝐴 and 𝐵, then the distance between 𝐴
and 𝐵 is
A) √10 B) 10
C) 5√2 D) 5

30. The number of terms in the expansion of ((𝑎 + 𝑏 + 𝑐)10 is
A) 55 B) 66
C) 21 D) 11

Section – Basic of Computer Science

31. Which of the following is not a type of computer code?
A) EDIC B) BCD
C) ASCII D) EBCDIC

32. What is Workbook in Excel?
A) A single worksheet
B) A collection of Charts
C) A temporary File
D) An Excel file containing one or more worksheets

33. Indicate which of the following is not true about an interpreter
A) Interpreter is a kind of translator
B) Interpreter generates an object code from the source code
C) Interpreter analyses source code every time it executed
D) interpreter executes line by line

34. A set of rules followed by each computer present on a network is called
A) Protocol B) HTTP
C) Domain D) Web

35. Which Unix command is used for listing files in the current directory?
A) List B) ls
C) wc D) ps

36. What is the full form of FAT?
A) File Attribute Table B) Format Access Term
C) File Allocation Table D) Format allocation Table

37. What is the shortcut key used to detect spelling and grammar errors in MS-Word?
A) Shift +F7 B) Ctrl +F7
C) Alt +F7 D) F7

38. The origin of the internet was developed from the concept of
A) Microsoft B) IBM
C) ARPANET D) Web

39. Convert (52)16 into its decimal equivalent
A)28 B) 83
C)80 D) 82

40. In MS-Power Point, which menu can you find features like slide design, slide layout etc?
A) Insert Menu B) Format Menu
C) Tools Menu D) Slide Show Menu

Section – Engineering Graphics

41. If the distance marked in a map is 20 Km which is equal to 10 mm then the R F of the scale is
A)2 × 106 : 1 B) 1 : 2
C)2 : 1 D) 1 : 2 × 106

42. For drawing building, structure, bridges etc. the best suitable scale is
A) Enlarging scale B) Reducing scale
C) Vernier scale D) Full scale

43. The type of line represented as

A) Long break line B) Cutting planes
C) Invisible edges D) center line

44. For the diagonal scale shown in the figure below, what is the distance between the point A and B in m?

A) 364 B) 374
C) 354 D) 350

45. The standard size of drawing board of designation D1 is (in mm)
A) 1000 × 700 × 25 B) 100 × 75 × 25
C) 1500 × 750 × 25 D) 1500 × 700 × 15

46. If a point lies in third quadrant, then
A) Front view and top view lies above xy line
B) Front view lies below xy line and top view lies above xy line
C) Front view lies above xy line and top view lies below xy line
D) Front view and top view lies below xy line

47. Which of the following conics has an eccentricity less than 1?
A) Circle B) Parabola
C) Hyperbola D) Ellipse

48. How many minimum numbers of points required on a unique circle to determine its centre?
A) One B) Two
C) Three D) Four

49. For the figure given below name the curve

A) Involute B) Cycloid
C) Spiral D) Epicycloids

50. The equation 𝑦 2 = 4𝑥 represents
A) Circle B) Straight line
C) Parabola D) Hyperbola

Section – Civil Engineering

51. What is the characteristics yield strength of mild steel as per IS 800-1984?
A) 250 MPa B) 300 MPa
C) 400 MPa D) 415 MPa

52. Which of the following statements best defines effective depth in a singly reinforced section?
A) The distance from the extreme compression fibre to the centroid of the
Compression reinforcement
B) The total depth of the beam
C) The depth at which the tensile stress becomes zero
D) The distance from the extreme compression fibre to the centroid of the
tension reinforcement

53. Which of the following bars are commonly used as main reinforcement in RCC members?
A) Plain bars B) Deformed bars
C) Flat bars D) Foils

54. Contraflexure is the point on the bending moment diagram, where
A) Bending moment is maximum B) Bending moment is minimum
C) Bending moment changes sign D) Bending moment is moderate

55. What is the expression for modulus of rigidity in terms of modulus of elasticity and the poisson’s ratio?
A) G = 3E / 2 (1+ μ) B) G = 5E / 1+ μ)
C) G = E / 2 (1+ μ) D) G = E / (1+ μ)

56. The part of the building above the ground level and up to the floor level immediately above the ground
is known as _______________.
A) Lintel Level B) Formation Level
C) Ground Level D) Basement Level

57. Plate load test is performed to determine
A) Safe Bearing Capacity of soil B) Liquid Limit of Soil
C) Shrinkage in Soil D) Plastic Limit of Soil

58. The receiver at the bottom of the assembly in sieve shaking machine is
A) 4.75 mm Sieve B) 425 micron Sieve
C) Pan D) 75 micron Sieve

59. What is the diameter of the sieve that is used for finding the liquid limit of soil?
A) 275 microns B) 700 microns
C) 425 microns D) 200 microns

60. Void ratio is the ratio of
A) Volume of voids to total volume
B) Volume of voids to volume of solids
C) Volume of solids to volume of voids
D) Volume of soil mass to volume of voids

61. For a fully saturated soil sample, the degree of saturation is
A) 0 B) 0.5
C) 0.75 D) 1.0

62. What will be the degree of saturation of a soil sample whose specific gravity G=2.7, void ratio e=0.66 and
water content w = 20%?
A) 85.88% B) 90.91%
C) 81.81% D) 92.92%

63. Excess of oxides of iron makes the brick:
A) Red in colour B) pink in colour
C) Dark blue in colour D) Yellow in colour

64. The hot molten material occurring naturally below the surface of the Earth is called
A) Lava B) Slag
C) Magma D) Tuff

65. What is the meaning of bulking of sand?
A) Increase in volume of sand due to moisture adsorption
B) Increase in weight of sand due to moisture adsorption
C) Increase in mass of sand due to moisture absorption
D) Increase in strength of sand due to moisture absorption

66. What is the purpose of coagulation on sedimentation?
A) To Increase the settling velocity of particles
B) To decrease the settling velocity of particles
C) To maintain the pH of water
D) To increase the turbidity of water

67. What does PERT stand for in the context of construction management?
A) Project Evaluation and Review Technique
B) Programme Evaluation and Review Technique
C) Project Execution and Resource Tracking
D) Project Execution and Resource Tracking

68. The final technical authority of a project is
A) Executive Engineer B) Superintending Engineer
C) Chief Engineer D) Joint Executive Engineer

69. The result of the ring and ball softening point on asphalts given in terms of
A) Viscosity B) Time
C) Flow D) Temperature

70. The function of dowel bars in concrete pavement is to
A) Resist bending
B) Resist tension
C) Resist shear
D) Transfer load from one slab to the adjacent one

71. Staggered rail joints are recommended when the track is
A) On a horizontal curve B) On a bridge
C) In a tunnel D) In a station yard

72. Surveys which are carried out to depict mountains, water bodies, woods and other details are Known as
A) Cadastral surveys B) City surveys
C) Topographical surveys D) Hydrographic surveys

73. Geodimeter is an instrument used for
A) GPS B) EDM
C) GTS D) EMR

74. Stone masonry is not used in building
A) Arches B) Columns
C) Lintels D) Roofs

75. Baluster is related to
A) Staircase B) Floor
C) Roof D) Door

76. In the analysis of rates of items, the contractor’s profit is taken to be
A) 12% B) 15%
C) 10% D) 13%

77. The original cost of a property minus depreciation is its
A) Salvage value B) Book value
C) Capital Value D) Market value

78. Compressibility of fluids is inversely proportional to
A) R, Reynold’s number B) E, Young’s modulus of elasticity
C) G, modulus of rigidity D) K, bulk modulus

79. If C is Chezy’s constant, n is Manning’s coefficient and Ris hydraulic radius, then
A) C = (1/n) R½ B) C = (1/n) R⅓
C) C = (1/n) R⅙ D) C = (1/n) R⅔

80. The term used to relate the volume of water and the area of crop it matures is
A) Duty B) Delta
C) Drip D) Drawdown

81. In simply supported beams, the slope is ____________at supports
A) Minimum B) zero
C) Maximum D) Uniform

82. Short columns primarily fail due to:
A) Buckling B) Crushing
C) Shear failure D) Fatigue

83. A round Steel rod of 100 mm diameter is bent into an arc of radius 100 m. What is the maximum stress
in the rod? Take E = 2× 105 N/mm2.

A) 100 N/mm2 B) 200 N/mm2
C) 150 N/mm2 D) 300 N/mm2

84. Temporary structure erected to facilitate the construction of walls when the height is more than 1.5 m is
known as
A) Formwork B) Scaffolding
C) Centering D) Shoring

85. A foundation is said to be shallow if its depth is _____________ than its width.
A) Equal to or lose B) Greater than
C) Double D) Half

86. Which equipment is used to test the setting time of cement?
A) Le-Chatlier B) Pycnometer
C) Universal testing machine (UTM) D) Vicat apparatus

87. The quality of timber does not depend upon:
A) Maturity of tree B) Time of felling
C) Type of tree D) Size of tree

88. What does B.O.D stand for
A) Biochemical oxygen Determination B) Biological Oxygen Demand
C) Biochemical oxygen Density D) Biodegradable Organic Debris

89. CPM in construction management is used for:
A) Project scheduling B) Resource allocation
C)Cost estimation D) Quality control

90. The bottom-most layer of a flexible pavement is
A) Base B) Sub-grade
C) sub-Base D) Level-grade

91. The instrument used to determine the spot speed of a vehicle on a highway is
A) Telescope B) Periscope
C) kaleidoscope D) Endoscope

92. The test conducted on a road aggregate using the Los Angles testing machine is
A) Attrition test B) Impact test
C) Ductility test D) Abrasion test

93. The radius of a transition curve at the tangent point is
A) Infinite B) Zero
C) Same as that of the circular curve D) Half of that of the circular curve

94. The overall length of a turnout is the distance between the end of the stock rail and
A) Toe of crossing B) Heel of crossing
C) Throat of crossing D) Nose of crossing

95. The wheels of rolling stock are provided with flange on
A) The outer side B) The inner side

C) Both inner and outer sides D) Neither side

96. A half brick cut longitudinally, placed next to the first brick in a header course, is known as
A) King closer B) Cornice
C) Queen closer D) Corbel

97. The vertical member between treads of a stair case is called
A) Flight B) Jamb
C) Riser D) Spandrel

98. What is the value of the Froude number for critical flow in open channels?
A) > 1 B) < 1
C) 1 D) 0

99. Hydraulic jump is
A) Critical flow B) Gradually varied flow
A) Uniform flow D) Rapidly varied flow

100. A Pitot tube is used for measuring
A) Capillarity B) Velocity of flow
C) Pressure D) Rate of flow