Quizsummary
0 of 65 questions completed
Questions:
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
Information
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to pass the previous Module's quiz in order to start this quiz
Results
Results
0 of 65 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 points, (0)
Earned Points: 0 of 0, (0)
0 Essay(s) Pending (Possible Points: 0)
Categories
 Not categorized 0%
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 Answered
 Review

Question 1 of 65
1. Question
A motor driving a solid circular steel shaft transmits 40kW of power at 500 rpm. If the diameter of the shaft is 40 mm, the maximum shear stress in the shaft is ________MPa.
CorrectIncorrectHint
NAT Type Question

Question 2 of 65
2. Question
Consider the following partial differential equation for u(x,y) with the constat c > 1 :
Solution of this equation is
CorrectIncorrect 
Question 3 of 65
3. Question
The following figure shows the velocity time plot for a particle traveling along a straight line. The distance covered by the particle from t = 0 to t= 5 s is __________m.
CorrectIncorrectHint
NAT Type Question

Question 4 of 65
4. Question
The damping ratio for a viscously damped spring mass system, governed by the relationship is given by
CorrectIncorrect 
Question 5 of 65
5. Question
The differential equation for y(x) with the two boundary conditions has
CorrectIncorrect 
Question 6 of 65
6. Question
Metric thread of 0.8 mm pitch is to be cut on a lathe. Pitch of the lead screw is 1.5 mm. If the spindle rotates at 1500 rpm, the speed of rotation of the lead screw (rpm) will be _________
CorrectIncorrectHint
NAT Type Question

Question 7 of 65
7. Question
The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas constant (8.314 J/mol.K). When the temperature increases by 100K, the change in molar specific enthalpy is _______________ J/mol.
CorrectIncorrectHint
NAT Type Question

Question 8 of 65
8. Question
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = t^{2}, θ(t) = t, where t is time. The kinetic energy of the particle at time t = 2 is
CorrectIncorrect 
Question 9 of 65
9. Question
The Poisson’s ratio for a perfectly incompressible linear elastic material is
CorrectIncorrect 
Question 10 of 65
10. Question
A heat pump absorbs 10 kW of heat from outside environment at 250 K while absorbing 15 kW of work. It delivers the heat to a room that must be kept warm at 300K. The Coefficient of Performance (COP) of the heat pump is ___________.
CorrectIncorrectHint
NAT Type Question

Question 11 of 65
11. Question
Which one of the following is NOT a rotating machine?
CorrectIncorrect 
Question 12 of 65
12. Question
Consider the schematic of a riveted lap joint subjected to tensile load F, as shown below. Let d be the diameter of the rivets, and S_{f} be the maximum permissible tensile stress in the plates. What should be the minimum value for the thickness of the plates to guard against tensile failure of the plates? Assume the plates to be identical.
CorrectIncorrect 
Question 13 of 65
13. Question
Water (density =1000 kg/m^{3}) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is _______
CorrectIncorrectHint
NAT Type Question

Question 14 of 65
14. Question
For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?
CorrectIncorrect 
Question 15 of 65
15. Question
Cylindrical pins of diameter 15^{±0.020} mm are being produced on a machine. Statistical quality control tests show a mean of 14.995 mm and standard deviation of 0.004mm. The process capability index C_{p} is
CorrectIncorrect 
Question 16 of 65
16. Question
The product of Eigen values of the matrix P is
CorrectIncorrect 
Question 17 of 65
17. Question
CorrectIncorrect 
Question 18 of 65
18. Question
The Value of
CorrectIncorrect 
Question 19 of 65
19. Question
In an arc welding process, welding speed is doubled. Assuming all other process parameters to be constant, the cross sectional area of the weld bead will
CorrectIncorrect 
Question 20 of 65
20. Question
A sixface fair dice is rolled a large number of times. The mean value of the outcomes is ______.
CorrectIncorrectHint
NAT Type Question

Question 21 of 65
21. Question
Consider the two dimensional velocity field given by where a_{1}, b_{1} , a_{2} and b_{2} are constants. Which one of the following conditions needs to be satisfied for the flow to be incompressible?
CorrectIncorrect 
Question 22 of 65
22. Question
Consider a beam with circular crosssection of diameter d. The ratio of the second moment of area about the neutral axis to the section modulus of the area is.
CorrectIncorrect 
Question 23 of 65
23. Question
Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.
CorrectIncorrectHint
NAT Type Question

Question 24 of 65
24. Question
In a metal forming operation when the material has just started yielding, the principal stresses are σ_{1} = +180MPa, σ_{2} = −100MPa, σ_{3} = 0. Following Von Mises’ criterion, the yield stress is ________ MPa.
CorrectIncorrectHint
NAT Type Question

Question 25 of 65
25. Question
In the engineering stressstrain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to
CorrectIncorrect 
Question 26 of 65
26. Question
A parametric curve defined by in the range 0 ≤ u ≤ 1 is rotated about the X – axis by 360 degrees. Area of the surface generated is
CorrectIncorrect 
Question 27 of 65
27. Question
Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is 20μm, The central line average surface roughness Ra (in μm) is
CorrectIncorrect 
Question 28 of 65
28. Question
A thin uniform rigid bar of length L and mass M is hinged at point O, located at a distance of L / 3from one of its ends. The bar is further supported using springs, each of stiffness k, located at the two ends. A particle of mass m = M/4 is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the systems is.
CorrectIncorrect 
Question 29 of 65
29. Question
A point mass of 100 kg is dropped onto a massless elastic bar (crosssectional area = 100 mm^{2}, length = 1m, Young’s moduls = 100 GPa) from a height H of 10mm as shown (Figure is not to scale). If g = 10m/s^{2}, the maximum compression of the elastic bar is _______ mm.
CorrectIncorrectHint
NAT Type Question

Question 30 of 65
30. Question
One kg of an ideal gas (gas constant, R = 400 J/kg.K; specific heat at constant volume, c_{v} = 1000J/kg.K) n = at 1 bar, and 300 K is contained in a sealed rigid cylinder. During an adiabatic process, 100kJ of work is done on the system by a stirrer. The increase in entropy of the system is _________ J/K.
CorrectIncorrectHint
NAT Type Question

Question 31 of 65
31. Question
For an inline slidercrank mechanism, the lengths of the crank and connecting rod are 3m and 4m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1m/s, the magnitude of angular velocity (upto 3 decimal points accuracy) of the crank is _________ radian/s.
CorrectIncorrectHint
NAT Type Question

Question 32 of 65
32. Question
In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100rpm. Let the number of teeth on the sun, planet and outer gears to be 50, 25, and 100, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is _________.
CorrectIncorrectHint
NAT Type Question

Question 33 of 65
33. Question
Moist air is treated as an ideal gas mixture of water vapor and dry air (molecular weight of air = 28.84 and molecular weight of water = 18). At a location, the total pressure is 100 kPa, the temperature is 30°C and the relative humidity is 55%. Given that the saturation pressure of water at 30°C is 4246 Pa, the mass of water vapor per kg of dry air is _____________ grams.
CorrectIncorrectHint
NAT Type Question

Question 34 of 65
34. Question
Following data refers to the jobs (P, Q, R, S) which have arrived at a machine for scheduling. The shortest possible average flow time is ___________ days.
CorrectIncorrectHint
NAT Type Question

Question 35 of 65
35. Question
Two models, P and Q, of a product earn profits of Rs. 100 and Rs. 80 per piece, respectively. Production times for P and Q are 5 hours and 3 hours, respectively, while the total production time available is 150 hours. For a total batch size of 40, to maximize profit, the number of units of P to be produced is ____________.
CorrectIncorrectHint
NAT Type Question

Question 36 of 65
36. Question
Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below:
——————————–
N60 G01 X 30 Y 55 Z – 5 F 50
N70 G02 X 50 Y 35 R 20
N80 G01 Z 5
——————————–
The coordinates of the centre of the circular arc are :
CorrectIncorrect 
Question 37 of 65
37. Question
Two black surfaces, AB and BC, of lengths 5m and 6m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor F_{12} = 0.5 T_{1} = 800 K, T_{2} = 600 K, T_{surrounding} = 300 K and Stefan Boltzmann constant, σ = 5.67 × 10^{−8} W/(m^{2}K^{4}), the transfer rate from Surface 2 to the surrounding environment is ______kW.
CorrectIncorrectHint
NAT Type Question

Question 38 of 65
38. Question
Consider the matrix
Which one of the following statements about P is INCORRECT?
CorrectIncorrect 
Question 39 of 65
39. Question
The Pressure ratio across a gas turbine (for air, specific heat at constant pressure, c_{p} =1040J / kg.K and ratio of specific heats, γ =1.4) is 10. If the inlet temperature to the turbine is 1200K and the isentropic efficiency is 0.9, the gas temperature at turbine exit is ______ K.
CorrectIncorrectHint
NAT Type Question

Question 40 of 65
40. Question
An initially stressfree massless elastic beam of length L and circular crosssection with diameter d (d << L) is held fixed between two walls as shown. The beam material has Young’s modulus E and coefficient of thermal expansion α.
If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to
CorrectIncorrect 
Question 41 of 65
41. Question
For the vector the value of is ______
CorrectIncorrectHint
NAT Type Question

Question 42 of 65
42. Question
A 10 mm deep cylindrical cup with diameter of 15mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is _________ mm.
CorrectIncorrectHint
NAT Type Question

Question 43 of 65
43. Question
A machine element has an ultimate strength (σ_{u}) of 600 N/mm^{2}, and endurance limit (σ_{en}) of 250 N/mm^{2}. The fatigue curve for the element on loglog plot is shown below. If the element is to be designed for a finite of 10000 cycles, the maximum amplitude of a completely reversed operating stress is _________ N/mm^{2}.
CorrectIncorrectHint
NAT Type Question

Question 44 of 65
44. Question
A sprue in a sand mould has a top diameter of 20mm and height of 200mm. The velocity of the molten metal at the entry of the sprue is 0.5m/s. Assume acceleration due to gravity as 9.8 m/s^{2} and neglect all losses. If the mould is well ventilated, the velocity (upto 3 decimal points accuracy) of the molten metal at the bottom of the sprue is ________ m/s.
CorrectIncorrectHint
NAT Type Question

Question 45 of 65
45. Question
Air contains 79% N_{2} and 21% O_{2} on a molar basis. Methane (CH_{4}) is burned with 50% excess air than required stoichiometrically. Assuming complete combustion of methane, the molar percentage of N_{2} in the products is __________
CorrectIncorrectHint
NAT Type Question

Question 46 of 65
46. Question
P(0,3), Q(0.5, 4), and R (1,5) are three points on the curve defined by f(x). Numerical integration is carried out using both Trapezoidal rule and Simpson’s rule within limits x = 0 and x =1 for the curve. The difference between the two results will be.
CorrectIncorrect 
Question 47 of 65
47. Question
Heat is generated uniformly in a long solid cylindrical rod (diameter = 10mm) at the rate of 4×10^{7} W/m^{3}. The thermal conductivity of the rod material is 25W/m.K. Under steady state conditions, the temperature difference between the centre and the surface of the rod is _________ °C.
CorrectIncorrectHint
NAT Type Question

Question 48 of 65
48. Question
Two disks A and B with identical mass (m) and radius (R) are initially at rest. They roll down from the top of identical inclined planes without slipping. Disk A has all of its mass concentrated at the rim, while Disk B has its mass uniformly distributed. At the bottom of the plane, the ratio of velocity of the center of disk A to the velocity of the center of disk B is.
CorrectIncorrect 
Question 49 of 65
49. Question
A block of length 200mm is machined by a slab milling cutter 34mm in diameter. The depth of cut and table feed are set at 2mm and 18mm/minute, respectively. Considering the approach and the over travel of the cutter to be same, the minimum estimated machining time per pass is _____________ minutes.
CorrectIncorrectHint
NAT Type Question

Question 50 of 65
50. Question
A horizontal bar, fixed at one end (x = 0), has a length of 1 m, and crosssectional area of 100 mm^{2}. Its elastic modulus varies along its length as given by E(x) = 100e^{−x} GPa, Where x is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 kN is applied at the free end (x=1). The axial displacement of the free end is _______ mm.
CorrectIncorrectHint
NAT Type Question

Question 51 of 65
51. Question
Consider steady flow of an incompressible fluid through two long and straight pipes of diameters d_{1} and d_{2} arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the form, f = K(Re)^{−n} where K and n are known positive constants and Re is the Reynolds number. Neglecting minor losses, the ratio of the frictional pressure drop in pipe 1 to that in pipe 2, is given by
CorrectIncorrect 
Question 52 of 65
52. Question
The velocity profile inside the boundary layer for flow over a flat plate is given as where U_{∞} is the free stream velocity and δ is the local boundary layer thickness. If δ * is the local displacement thickness, the value of is
CorrectIncorrect 
Question 53 of 65
53. Question
For a steady flow, the velocity field is The magnitude of the acceleration of a particle at (1, −1) is
CorrectIncorrect 
Question 54 of 65
54. Question
Two cutting tools with tool life equations given below are being compared :
Tool 1L VT^{0.1} = 150
Tool 2: VT^{0.3} = 300
Where V is cutting speed in m/minute and T is tool life in minutes. The breakeven cutting speed beyond which Tool 2 will have a higher tool life is ____ m/minute.
CorrectIncorrectHint
NAT Type Question

Question 55 of 65
55. Question
A rectangular region in a solid is in a state of plane strain. The (x,y) coordinates of the corners of the under deformed rectangle are given by P(0,0), Q (4,0), S (0,3). The rectangle is subjected to uniform strains, ε_{xx} = 0.001, ε_{yy} = 0.002, γ_{xy} = 0.003. The deformed length of the elongated diagonal, up to three decimal places, is _____ units.
CorrectIncorrectHint
NAT Type Question

Question 56 of 65
56. Question
A right – angled cone (with base radius 5cm and height 12cm), as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again.
By what angle (in radians) about P does the cone travel?
CorrectIncorrect 
Question 57 of 65
57. Question
In a company with 100 employees, 45 earn Rs. 20,000 per month, 25 earn Rs. 30,000, 20 earn Rs. 40,000 8 earn Rs. 60,000, and 2 earn Rs. 150,000. The median of the salaries is
CorrectIncorrect 
Question 58 of 65
58. Question
As the two speakers became increasingly agitated, the debate became __________.
CorrectIncorrect 
Question 59 of 65
59. Question
P,Q, and R talk about S’s car collection. P states that S has at least 3 cars. Q believes that S has less than 3 cars. R indicates that to his knowledge, S has at least one Car. Only one of P, Q and R is right the number cars owned by S is.
CorrectIncorrect 
Question 60 of 65
60. Question
He was one of my best __________ and I felt his loss _________.
CorrectIncorrect 
Question 61 of 65
61. Question
Two very famous sportsmen Mark and Steve happened to be brothers, and played for country K. Mark teased James, an opponent from country E, “There is no way you are good enough to play for your country.’’ James replied, “Maybe not, but at least I am the best player in my own family.”
Which one of the following can be inferred from this conversation?
CorrectIncorrect 
Question 62 of 65
62. Question
“Here, throughout the early 1820s, Stuart continued to fight his losing battle to allow his sepoys to wear their castemarks and their own choice of facial hair on parade, being again reprimanded by the commanderinchief. His retort that ‘A stronger instance than this of European prejudice with relation to this country has never come under my observations’ had no effect on his superiors.”
According to this paragraph, which of the statements below is most accurate?
CorrectIncorrect 
Question 63 of 65
63. Question
The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of 0.8(in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25°C and 37°C.
Consider the following statements based on the data shown above:
(i) The growth in bacterial population stops earlier at 37°C as compared to 25°C
(ii) The time taken for curd formation at 25°C is twice the time taken at 37°C
Which one of the following options is correct?
CorrectIncorrect 
Question 64 of 65
64. Question
Let S_{1} be the plane figure consisting of the points (x,y) given by the inequalities x – 1 ≤ 2 and y + 2 ≤ 3. Let S_{2} be the plane figure given by the inequalities x – y ≥ −2, y ≥ 1, and x ≤ 3 Let S be the union of S_{1} and S_{2}. The area of S is
CorrectIncorrect 
Question 65 of 65
65. Question
What is the sum of the missing digits in the subtraction problem below?
CorrectIncorrect