Previous Year Questions
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The improper integral converges to
Two machines are defective in a lot of 10. A combination of four machines is to be picked at a time from the lot. The maximum number of combinations that can be obtained without any defective machine
Using Simpson’s 1/3 rule for numerical integration, the consecutive points are joined by a
For two non-zero vectors A̅ and B̅, if (A̅ + B̅) is perpendicular to (A̅ - B̅), then
The local minima of the function f(x) = x 2 – x 4 in the range -0.8 ≤ x ≤ 0.8 is located at
The product of a complex number z = x + iy and its complex conjugate z̅ is
Divergence of the curl of a twice differentiable continuous vector function is
For an orthogonal matrix Q, the valid equality is
Runge-Kutta fourth order method is used to solve the differential equation . If the initial value y(0) = 2 and step-size is 0.1, then the value of y(0.1) is ______ (up to three decimal places)
"If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and th
I ________ made arrangements had I ________ informed earlier
Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences? i) At least one bench is a table ii) At least
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot. If in
S, T, U, V, W,X, Y and Z are seated around a circular table. T's neighbours are Y and V, Z is seated third to the left of T and second to the right of S. U's neighbours are S and Y and T and W are not
If in the summer, water consumption is known to decrease overall by 25%. A water board official states that in the summer consumption decrease by 20%, while other consumption increases by 70%. Which o
Trucks (10 m long) and cars (5 m long) go on a single lane bridge. There must be a gap of at least 20 m after each truck and a gap of at least 15 m after each car. Trucks and cars travel at a speed of
There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?
She has a sharp tongue and it can occasionally turn ________
40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is
The inside and outside radii of a thick-walled cylindrical pressure vessel are denoted by a and b, respectively. If the vessel is subjected to an internal pressure P, then the magnitude of radial stre
A specimen of steel has yield strength of 700 MPa. The specimen is subjected to a state of plane-stress with σ 1 = σ 2 = 500 MPa. The factor of safety according to the von-Mises theory of
A pair of spur gears with 20° full-depth involute teeth is used to transmit 3.5 kW of power. The pinion rotates at 700 rpm and has a pitch circle diameter of 100 mm. Assuming a single pair of teet
In Glass Fiber Reinforced plastic (GFRP) composites with long fibers, the role of matrix is to (P) Support and transfer the stresses to the fibers (Q) Reduced propagation of cracks (R) Carry the entir
With reference to Iron-Carbon equilibrium phase diagram, the crystal structure of 0.3% plain carbon steel at 1,100°C is
A metallic cylindrical casing of an exhaust pipe has inner radius 50 mm and wall thickness 7 mm. If the thermal conductivity of the material of the casing is 50 W/m-K, then the thermal resistance of t
For a two dimensional state-of-stress as = = = S, the Mohr's circle of stress has
The ideal stress-strain behaviour for a completely brittle material during tensile testing up to failure is described by
A pipeline with variable cross-section contains water with specific weight 10 4 N/m 3 . The flow conditions at two points 1 and 2 on the axis of the pipe are: P 1 = 3 bar, V 1 = 10 m/s P 2 = 1 bar, V
If E is the modulus of elasticity in GPa, G is the shear modulus in GPa and ν is the Poisson's ratio of a linear elastic and isotropic material. the three terms are related as
The simply supported beam shown in the figure is loaded symmetrically using two equal point loads P. The radius of curvature of the deflection curve is 15 m for the portion of the beam that is subject
A manometer is used for the pressure measurement in a closed tank. The three fluids f1, f2 and f3 have specific weights γ, 2γ and 0.5γ, respectively. The schematic arrangement with m
A reversible heat engine (E) operating in a cycle interacts with three reservoirs 1, 2, and 3 maintained at temperatures = 500 K, = 400 K, and = 300 K, respectively. The engine receives10 kJ of heat f
A steel wire of 2 mm diameter is to be drawn from a wire of 5 mm diameter. The value of true strain developed is _______ (up to three decimal places).
A solid circular shaft is subjected to a bending moment M and torque T simultaneously. Neglecting the effects to stress concentration, the equivalent bending moment is expressed as
A hose coupling manufacturing company has a production capacity of 2,500 units per year. The unit selling price of the item is Rs.150. The fixed cost of production is Rs. 80,000 and the variable cost
In a project tasks A, B, C, D, E, F, G, H, I and J are to be performed. The precedence relationships and the time required (in days) to complete the tasks are given in the table. Tasks A B C D E F G H
In a calendar year, the demand forecast of motorbikes for the month of June is 200. The actual demand of motorbikes for the month of June and July are 300 and 350, respectively. If single exponential
A Shewhart X̅-chart was developed for an in-control process. Considering the probability of a point falling outside the 3σ control limits as 0.0026, the value of average run length for this char
The operating characteristic curves of three single sampling plans X, Y and Z with the same lot size and acceptance number are shown in the figure. Considering the above operating characteristic curve
The potential production alternatives for manufacturing a product along with their unit cost and monthly capacity are given in the table. Sr. No. Production Alternatives Unit cost (Rs.) Capacity/month
Match the ASME process chart symbols with their correct description Symbol Description P. 1. STORAGE Q. 2. TRANSPORTATION R. 3. OPERATION S. 4. DELAY T. 5. INSPECTION
The annual demand of wristwatches produced on an assembly line is 1,03,125 units. The line operates 50 weeks/year, 5 shifts/week, and 7.5 hours/shift. The uptime efficiency of the line is 99%. The cyc
The quality control department of a company maintains ‘c’ chart to assess the quality of laptops. In this process, twenty laptops are examined randomly. The number of nonconformities obser
An electrical appliances showroom sells 2,400 ceiling fans in one year (52 weeks). The holding cost is 10% of the cost of the ceiling fan. The cost of one ceiling fan is Rs. 600. The cost incurred for
In a machine shop, four jobs need to be assigned to four different machines. Each of the jobs is to be assigned to one machine only at a time. The time taken to complete the job in different machines
In a gear manufacturing company three orders P, Q and R are to be processed on a hobbing machine. The orders were received in the sequence P-Q-R. The table indicates the process time remaining and the
A firm manufactures capacitors using a specialized process. The desired specification for the capacitance is 40 ± 10 picofarads (pF). The process used is in statistical control. If the process
In value engineering approach, the value of the product is
An electron beam welding process uses a 15-mA beam current at an accelerating voltage of 150 kV. The energy released by the beam per second in J is _________ Take 1 Ampere = 6.28 × 10 18 electro
The preparatory and miscellaneous codes used in CNC part programming and the functions are given in the table. Group I Group II P. G01 1. Circular interpolation, counter-clockwise Q. G03 2. End of pro
The Merchant circle showing different showing various forces associated with a cutting process using a wedge-shapes tool is given in the Figure The coefficient of friction can be estimated from the ra
In carbon dioxide moulding process, the binder used is:
In chemical machining, the etch factor is expressed as:
Turning, drilling, boring and milling are commonly used machining operations. Among these the operation(s) performed by a single point cutting tool(s)
A metallic strip having a thickness of 12 mm is to be rolled using two steel rolls, each of 800 mm diameter. It is assumed that there is no change in the width of the strip during rolling. In order to
In the gas tungsten arc welding process, the material coated on pure tungsten electrode to enhance its current carrying capacity is
In powder metallurgy, the process ‘atomization’ refers to a method of
A schematic diagram of peripheral milling is shown in the figure. If t is the depth of cut and d is the diameter of the milling cutter, then the length of approach (l a ) is expressed as
A schematic diagram of the poring basin and the sprue of a gating system is shown in the figure. The depth of molten metal in the pouring basin is 100 mm and the height of the sprue is 1,500 mm. Consi
A surface of 30 mm × 30 mm of an iron block is machined using electrochemical machining process. The atomic weight and valency of iron is 55.85 and 2, respectively. The density of iron is 7,860
A machined surface with standard symbols indicating the surface texture is shown in the figure. (All dimensions in the figure are in micrometre). The waviness height (in micrometre) of the surface is
In a numerical control (NC) machine positioning system, the measures of precision are expressed by considering a single axis is shown in the figure. If σ is the standard deviation of the error d
In a machine operation with a turning tool, the tool life (T) is related to cutting speed v (m/s), feed f (mm), and depth of cut d (mm) as T = C v -2.5 f -0.9 d -0.15 Where C is a constant. The sugges
An air conditioner unit is expected to run continuously. The mean time between failure (MTBF) for this unit is 2,000 hours and the mean time to repair (MTTR) is 48 hours. The availability of the air c
Accuracy of a measuring instrument is expressed as