Assam JLEE 2023 Question Paper Mechanical Engineering

Section – Mathematics

1. lim(1 + 3𝑥)1/𝑥
𝑛→0
A) e B) e3
1
C) 3-3 D) 𝑒

𝑑𝑦 ∏
2. If y = log (tanx) then 𝑑𝑥 at x = 4
√3
A) 6 B) 2
C) 2 D) 0
1
3. If f(x) = x sin𝑥 for x ≠ 0, f(0) = 0 then at x = 0 , f(x) is
A) Continuous B) Discontinuous
C) Not determined D) Discontinuity

4. The tangent to the hyperbola 4x2 – 5y2 = 16 at the point (3, -2) is
A) 6x – 5y = 28 B) 6x + 5y = 8
C) 5y – 6x = 28 D) 5x + 6y = 4

5. If (1,2) (K,-1) are conjugate points with respect to the ellipse 2x2 + 3y2 = 6 then K is
A) 2 B) 4
C) 6 D) 8

6. Axis of the parabola x2 – 3y – 6x + 6 = 0 is
A) x = -3 B) y = -1
C) x = 3 D) y= 1

7. If A is orthogonal matrix then |A| =
A) 1 B) -1
C) ±1 D) 0

8. Class marks are given 9, 16, 23, 30, 37, 44; then the 4th class limits are
A) 23-30 B) 26.5-33.5
C) 26.5-33 D) 26-33.5
∏/2
9. ∫0 𝑠𝑖𝑛4 𝑥𝑑𝑥 =
3∏ 3
A) 16 B) 16
∏ 1
C) 16 D) 16

10. √2𝑥 + 1 + √𝑥 + 5 = 6 then x =
A) ± 4 B) 4
C) – 4 D) ± 5

11. If ω is complex cube root of unity, them (1 – ω + ω2)6 + (1 – ω + ω)6 =
A) 16 B) 32
C) 64 D) 128

12. 1 + tan75° + tan15° =
A) 5 B) 4
C) 3 D) 2

13. The solution of (x2 + y2)dx = 2xydy
A) c(x2 – y2) = x B) c(x2 + y2) = x
C) c(x2 – y2) = y D) c(x2 + y2) = y

14. The number of distinct solutions in R of the equation |x - |2x + 1|| = 3 is
A) 0 B) 1
C) 2 D) 4
3+5𝑖
15. The modulus of the complex number 1−2𝑖 is
A) √5 B) 5
34
C) √ 5 D) √2

16. tan18° + tan42° + √3 tan18° tan42° =
1
A) 0 B)
√3
C) √3 D) 3

17. Cos1° , Cos2° , Cos3° … Cos179° =
A) 3 B) 2
C) 1 D) 0

18. If 8 and 2 are roots of the equation x2 + ax + p = 0 and 3, 3 are the roots of the equation x2 + qx + b = 0,
then the roots of the equation x2 + ax + b = 0 are
A) 1, 0 B) 9, 1
C) -8, -2 D) 1, -1
2
19. In the expansion (√𝑥 - 𝑥 ) 18, the term independent of x is
A) 18C6 26 B) 18C4 25
C) 18C6 36 D) 18C5 26

20. One side of a rectangular field is 5 m and one of its diagonals is 13 m. The area of the field is
A) 50 m2 B) 60 m2
C) 70 m2 D) 90 m2
1
21. The length of a room is 12 times its breadth, the cost of carpeting the room at Rs. 18 per m2 is Rs. 972,
the dimensions of the room are
A) 9m, 6m B) 15m, 16m
C) 20m, 30m D) 21m, 15m

22. The roots of 12x2 + kx + 5 = 0 are in the ratio 3:2 then K =
A) ± 5 B) ± √10
C) ± 5√10 D) ± 2√10

23. The area bounded by the parabola y = 2x – x2 and X – axis is

4 1
A) 3 B) 3
C) 2 D) 4

24. The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m. Its area is
A) 3000 sqm B) 3127 sqm
C) 3225 sqm D) 3750 sqm

25. The sides of two cubes are in the ratio 3 : 1 then the ratio of their total surface
A) 3 : 1 B) 8 : 1
C) 9 : 1 D) 12 : 1

26. The co-efficient of x15 in the product of (x-1)(x-2)(x-3)…(x-16) is
A) 16! B) 136
C) -136 D) -16!
2𝑎 + 𝑏 𝑎 − 2𝑏 4 −3
27. If the matrices and are equal, then the values of a, b, c, d are in
5𝑐 − 𝑑 4𝑐 + 3𝑑 11 24
A) A.P. B) G.P.
C) H.P. D) A.P. and G.P.

28. The number of 5 digit numbers that can be formed using 2, 3, 4, 5, 6, 7 digits which are divisible by 25
without repetition is
A) 24 B) 64
C) 48 D) 84

29. The number of positive divisors of 25.36.73 is
A) 144 B) 168
C) 169 D) 167

30. (2 + √3)7 + (2 - √3)7 =
A) 10080 B) 10082
C) 10086 C) 10084

Section – Basic of Computer Science

31. Which of the following values is the correct value of this hexadecimal code ABCDEF?
A) 11259375 B) 11259379
C) 11259372 D) 11259371

32. Which of the following is not an operating system?
A) Windows B) Linux
C) Ms-DOS D) Oracle

33. What else is a command interpreter called?
A) Prompt B) Kernel
C) Command D) Shell

34. Internet Works on
A) Circuit switching
B) Packet switching
C) Both packet switching and circuit switching
D) Data switching

35. Which of the following can be looked at using the find tab?
A) Format B) Characters
C) Symbol D) All of the above

36. A process is a
A) Single thread of execution B) Task
C) Program in the execution D) Program in the memory

37. What is smallest unit of the information
A) A nibble B) A byte
C) A block D) A bit

38. What is the decimal equivalent of the binary number 10111
A) 23 B) 21
C) 43 D) 25

39. The size of an IP address in IPv6 is
A) 32 bits B) 256 bits
C) 128 bits D) 64 bits

40. Which of the following alignment cannot be placed where the tab stops?
A) Decimal Alignment
B) Bar Alignment
C) Center Alignment
D) Justify Alignment

Section – Engineering Graphics

41. As per BIS the standard A0 size sheet area is approximately equal to _____________square meter.
A) 5 B) 1
C) 2 D) 4

42. The following labels are drawn with different scales as given below
Label Scale
L1 1:25
L2 2:1
L3 1:1
L4 5:1
Choose the correct Answer
A) L1 and L2 are enlarging scales and L3 is -full scale
B) L2 and L4 are reducing scales; L1 is enlarging scales and L3 is full scale
C) L2 and L4 are enlarging scales; L1 is reducing scales and L3 is full scale
D) L3 is full scale and L1, L2, L4 are reducing scales

43. For the figure shown below identify the correct reason for incorrect representation of dimensions.

Reasons:
I) Dimension 27 and 50 not written according to aligned system.
II) Dimensions lines are placed inside the view
III) Dimensions lines used as extension
Choose the correct choice.
A) Only I) and II) are correct statements
B) All three reasons are correct statements
C) Only II) and III) are correct statements
D) Only I) is correct statement

44. Identify the type of line
G
A) Dashed thin narrow line
B) Dashed thick narrow line
C) Continues thin line
D) Chain thin long-dashed dotted line

45. Consider the R.F of a map is 1: 4000, the actual length of the object is 500 m, and then the length to be
drawn in cm is
A) 125 B) 12.5
C) 200 D) 20

46. For the plane scale shown in the figure below, what is the value of X in meters?

A) 3.7 B) 3.6
C) 5.7 D) 5.6

47. Four curves are represented by C1, C2, C3, C4 whose eccentricity ratios are %, Yh, 1, 5/3 respectively.
Choose the correct statements
A) C1 and C2 curves are Ellipse and C3 and C4 are parabola
B) C3 is parabola; C4 is Hyperbola and C1 and C2 curves are ellipse
C) C3 curve is parabola, C4 curve is Hyperbola, Ci is circle and C2 ellipse
D) Cl and C2 curves are Ellipse and C3 and C4 are Hyperbola

48. The distance between fixed point and vertex is VF and the distance from vertex to the fixed line is VD. If
VD is greater than VF then the curve generated is
A) Parabola B) Hyperbola
C) Ellipse D) Data is insufficient to name the curve

49. When a line PQ is inclined to HP and parallel to VP and the line is in the first quadrant, which of the
following statements is true.
I) No vertical traces to the line PQ
II) Line in the front view is true length
III) Line in the top view is true length
A) All three statements are correct B) Only (iii) is correct
C) Only (i) and (ii) are correct D) Only (ii) is correct

50. In orthographic projection, each projection view represents how many dimensions of an object?
A) 1 B) 2
C) 3 D) 4

Section – Mechanical Engineering

51. What is the taper on shat diameter for the given sketch?

A) 1/10 B) 1/20
C) 1/15 D) 1/5

52. Critical pressure in bar for steam is
A) 252 B) 221
C) 184 D) 163

53. A perfect gas at 27°C is heated at constant pressure till its volume is doubled. The final temperature is
A) 54°C B) 108°C
C) 327°C D) 600°C

54. Heat and work are
A) Extensive properties B) Intensive properties
C) Point-function D) Path function

55. Carnot cycle consists of
A) Two constant volumes and two isentropic processes
B) Two isothermal and two isentropic processes
C) Two constant pressures and two isentropic processes
D) One constant volume one constant pressure and two isentropic processes

56) As the temperature increases, the thermal conductivity of a gas
A) Increases
B) Decreases
C) Remains constant
D) Increases up to certain temperature and

57. By adding chromium to steel which of the following property is enhanced?
A) Resistance to corrosion B) Electrical Characteristics
C) Magnetic property D) Ductility

58. As percentage of carbon increases in steel its __________ deceases.
A) Corrosion resistance B) Ultimate strength
C) Hardness D) Ductility

59. Oxygen to acetylene ratio in case of neutral lame is

A) 0.8:1 B) 1:1
C) 1.2:1 D) 2:1

60. The time taken to drill a hole of diameter 20mm in a 30mm thick steel plate with a feed of 0.5 mm/rev
and the drill spindle speed being 60 rpm is _______seconds.
A) 40 B) 60
C) 30 D) 20

61. In a shaper, rotary motion is converted into reciprocating motion by means of
A) Worm and worm wheel
B) Rack and pinion
C) Rocker arm and bull gear
D) Shaft and pulley

62. The condition which must be fulfilled by two gear tooth profiles to maintain a constant angular velocity
ratio between them is called
A) path of contact
B) interference
C) arc of contact
D) law of gearing

63. When large gear reductions are needed ___________ gears are used
A) Bevel B) Worm
C) Helical D) Spur

64. The low pressure and temperature vapor refrigerant enters the _______of the vapor compression system.
A) compressor B) condenser
C) receiver D) evaporator

65. Which of the following isa water tube boiler
A) Locomotive boiler B) Cornish boiler
C) Cochran boiler D) Babcock and wilcox boiler

66. Steam turbines and gas turbines work on ______cycles respectively
A) Dual & Brayton B) Rankine & Brayton
C) Otto & Diesel D) Rankine & Dual

67. In an interchangeable assembly shaft of size 100+0.004 +0.035
−0.005 mm mates with hole of size 100 −0.020 mm. the
maximum interference in the assembly is
A) 60 µm B) 10 µm
C) 20 µm D) 70 µm

68. In statistical quality control, the expected process variation (natural tolerance) is commonly taken to be
A) µ ± 𝜎 B) µ ± 2𝜎
C) µ ± 3𝜎 D) µ ± 𝜎 0.5

69. Which is the control chart for fraction defective?

A) V-chart B) P-chart
C) X-chart D) C-chart

70. Which factors in helical spring design takes into account the effect of stress concentration?
A) Spring Index B) Spring Rate Factor
C) Walh's Factor D) Resilience Factor

71. If the module of a spur gear is 10 mm and pitch circle diameter is 200 mm, the number of teeth of the
gear is
A) 10 B) 15
C) 20 D) 25

72. The co-efficient of restitution for a perfectly elastic collision is

A) 0 B) 1
C) 0.5 D) 1.5

73. Maximum bending moment for a simply supported beam of span L and central load W is
A) WL B) WL/2
C) WL/8 D) WL/4

74.In a steam power plant the accessories used for preheating feed water is known as
A) Feed water heater B) Economiser
C) Super heater D) Regenerator

75. When the bond of the abrasive wheel is very hard, abrasive particles are not dislodged and become blunt
lending to a shining appearance. This is called
A) Dressing B) Truing
C) Loading D) Glazing

76. The specific heat of an ideal gas depend on its
A) Density B) Molecular weight
C) Pressure D) Temperature

77. If the value of n = 0 in the equation 𝑃𝑉 𝑛 = 𝐶, then the process is called
A) Isochoric process B) Adiabatic process
C) Isobaric process D) Isothermal process

78. Which of the following laws states that "When a system is at zero absolute temperature, the entropy of
system is zero"?
A) Zeroth Iaw of thermodynamics
B) First law of thermodynamics
C) Second law of thermodynamics
D) Third law of thermodynamics

79. For an opaque body the relationship between reflection (𝜌), absorptivity (𝛼) and transmissivity (𝑟) is given
as
A) 𝜌 + 𝛼 + 𝑟 = 𝜃 B) 𝜌 + 𝛼 = 𝑟

C) 𝜌 + 𝛼 = 𝜃 D) 𝜌 + 𝛼 = 1

80. Manganin is an alloy of
A) Manganese and aluminum B) Copper and magnesium
C) Copper, manganese and nickel D) Manganese, aluminum and iron

81. Mild steel can be converted into high carbons steel by which of the following heat treatment process?
A) Annealing B) Normalizing
C)Case hardening D) Nitriding

82. Open circuit voltage for arc welding is of the order of
A) 18-40 volts B) 40-95 volts
C) 100-125 volts D) 130-170 volts
3
83. In the plain indexing, the crank is to be turned by 1 7 turns, using plate no. 2:21,23,27,29,31 and 33 holes.
This can be done by _____ (assume worm wheel attached to the indexing plate has 40 numbers of teeth)
A) One full rotation + 9 holes in a 21hole circle
B) One full rotation + 9 holes in a 23hole circle
C) One full rotation +7 holes in a 21hole circle
D) One full rotation +7 holes in a 23hole circle

84. G-codes and M-codes are also known as ________ respectively.
A) Preparatory and Miscellaneous codes
B) Spindle speed and Preparatory codes
C) Tool selection and Spindle speed codes
D) Miscellaneous codes and Tool Selection codes

85. ECM process is based on which of the following laws?
A) Coulomb's law B) Faraday's law
C) Law of definite proportions D) Law of chemical combination

86. Which of the following material cannot be machined by EDM?
A) Steel B) Cast iron
C) Titanium D) Glass

87. How is the material removed in abrasive water jet machining?
A) Vaporization B) Electron transfer
C) Corrosion D) Erosion

88. The total number of instantaneous centers for a mechanism of 𝑛 links is
A) 𝑛(𝑛 − 1)/2 B) 𝑛
C) 𝑛 − 1 D) 𝑛(𝑛 − 1)

89. The maximum fluctuation of energy is the
A) Difference between the maximum and minimum energies
B) Sum of the maximum and minimum energies

C) Variations of energy above and below the mean resisting torque
D) Ratio of the mean resisting torque to the work done per cycle

90. Let the disturbing mass be 50 kg and the radius of rotation be 20 cm and the rotation speed be 50 rad/s,
then calculate the centrifugal force in KN.
A) 50 B) 25
C) 50000 D) 25000

91. The vapor compression refrigeration system is similar to a
A) latent hent pump B) latent hent engine
C) generator D) evaporator.

92. What is the refrigerant number of water?
A) R-717 B) R- 744
C) R-718 D) R- 100

93. Cochran boiler is a
A) Horizontal fire tube boiler B) Horizontal water tube boiler
C) vertical water tube boiler D) Vertical fire tube boiler

94. _________ takes place due to thermal stresses in the steam turbine cylinder.
A) Depends B) Expansion
C) Compression D) None of the mentioned

95. The length of the sine bar is the distance between
A) Center to center distance between rollers
B) Out-of-distance distance between rollers
C) Diagonal cross-length of sine bar
D) One end at the other end of the sign bar

96. According to Indian standards, the total number of tolerance grades are
A) 8 B) 12
C) 18 D) 20

97. The type of layout used for manufacturing of big aeroplanes is:
A) Product layout B) Process layout
C) Fixed position layout D) Combination layout

98. Which control chart is used for the control for the dispersion?
A) P chart B) X bar chart
C) C chart D) R chart

99. Shaft with collars at both ends fitted into a circular hole forms a
A) turning pair B) rolling pair
C) sliding pair D) spherical pair

100. Whitworth quick return mechanism is an inversion of

A) double slider crank chain B) single slider crank chain
C) four bar chain D) crossed slider crank chain