Previous Year Questions
1 paper · 65 questions — organised by subject with solutions and explanations.
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Using the Simpson’s 1/3rd rule, the value of ∫ydx computed, for the data given below, is ________. x 1 3 5 y 2 6 4
Directional derivative of φ = 2xz - y 2 , at the point (1, 3, 2), becomes maximum in the direction of
If ϕ = 2x 3 y 2 z 4 then ∇ 2 ϕ is
Marks obtained by 100 students in an examination are given in the table. Sl. No Marks obtained (x) Number of students (f) 1 25 20 2 30 20 3 35 40 4 40 20 What would be the mean, median, and mode of th
A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12, respectively. The standard error of mean is ___
The system of equations, given below, has x + 2y + 4z = 2 4x + 3y + z = 5 3x + 2y + 3z = 1
In a given day in the rainy season, it may rain 70% of the time. If it rains, chance that a village fair will make a loss on that day is 80%. However, if it does not rain, chance that the fair will ma
If the equation sin (x) = x 2 is solved by Newton Raphson’s method with the initial guess of x = 1, then the value of x after 2 iterations would be _______
In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group? Stat
Which of the following options is the closest in meaning to the sentence below? “As a woman, I have no country.”
Choose the most appropriate word from the options given below to complete the following sentence. ____________ is the key to their happiness; they are satisfied with what they have.
In any given year, the probability of an earthquake greater than Magnitude 6 occurring in the Garhwal Himalayas is 0.04. The average time between successive occurrences of such earthquakes is ____ yea
Moving into a world of big data will require us to change our thinking about the merits of exactitude. To apply the conventional mindset of measurement to the digital, connected world of the twenty-fi
The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of e
Choose the most appropriate word from the options given below to complete the following sentence. A person suffering from Alzheimer’s disease______ short-term memory loss.
The population of a new city is 5 million and is growing at 20% annually. How many years would it take to double at this growth rate?
X is 1 km northeast of Y. Y is 1 km southeast of Z. W is 1 km west of Z. P is 1 km south of W. Q is 1 km east of P. What is the distance between X and Q in km?
10% of the population in a town is HIV+ . A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV− individuals 89% of the tim
Elastic moduli of a fibre reinforced plastic composite and fibres are 200 GPa and 400 GPa, respectively. The longitudinal fibres are taking up 50% of the load. Assuming the area fraction equal to the
For a metal alloy, which one of the following descriptions relates to the stress relief annealing process
If 2 kg mass of water, with a specific heat of 4.18 kJ/kg-K, is heated from 20°C to 40°C in an open container, then the change in entropy of water, in kJ/K, is ________
A uniformly distributed load (q) of 1500 N/m is applied on a simply supported beam LMN with an overhang of 0.5 m. Which one of the following statements is FALSE?
An element, shown below, is subjected to stresses: = 5 kN/mm , = 3 kN/mm and τ = 1 kN/mm . The magnitudes and direction of principal stresses , (in kN/mm ) and φ (in degrees) are
A metallic sphere of 0.1 m diameter has a thermal conductivity of 10 W/m - K. If the fluid flowing around it has a heat transfer coefficient of 10 W/m 2 - K and thermal conductivity of 0.4 W/m-K, the
Two geometrically identical metallic bars are joined end to end (as shown in Fig.). Bars P and Q have thermal conductivities of 5 W/m-K and 10 W/m-K respectively. The free end of the Bar P is kept at
A metallic sphere of 1 kg mass, with a surface area of 0.0314 m 2 , is maintained at an initial temperature of 50°C. The fluid circulating the sphere is maintained at a temperature of 10°C. Sp
Relationship between Young’s Modulus (E), Shear Modulus (G), and Poisson’s Ratio (μ), for a material obeying the Hooke’s Law, is
A gas at a pressure of 500 kPa and volume of 0.75 m 3 is contained in a cylinder-piston assembly. When the piston moves slowly in the cylinder, the pressure inside the cylinder varies as V –1.2
As the product passes through different stages of a product life cycle, the product variety
A project consisting of five activities needs crashing. The details of crashing that was carried out are given in the table. Activity Normal Time (days) Shortest Time (days) Cost in Rs. for Reduction/
The following data refers to a manufacturing plant. Current Year Previous Year Revenue generated (in Rs.) 200,000 220,000 Number of units produced 1000 1200 Piece rate of workers (in Rs.) 22 18 A ssum
A manufacturing plant, working in 2 shifts of 8 hrs each, produces 30,000 switch boards using a set of 7 workstations in series. The cycle time, in seconds, is _______
A control chart for number of non-conformities per unit is to be constructed for a manufacturing process. Sixteen non-conformities were recorded while inspecting 30 units. How should the Upper Control
Which one of the following is not a characteristic of JIT manufacturing system?
For the linear programming problem given below, find the number of feasible corner point solutions. Is the optimal solution degenerate? Maximize z = 2x 1 + 3x 2 Subject to: x 1 + 2x 2 -10 x 1 > 0; x 2
Which one of the following techniques is used to analyze the cause and effect of product failure?
A company wants to determine the proportion of time workers are idle. In a pilot study, the proportion of idle time was found to be 0.16. If the company wants to be 95% confident (z-value = 1.96) that
A manufacturing company producing ball bearings has conducted a time study for 10 cycles of a job consisting of three elements. The details are shown in the table below. Job elements Average elemental
The annual requirement of a raw material item is 10,000 units. The holding cost of inventory for the item is 80 paise per unit per year and the ordering cost is Rs. 40 per order. The order quantity pr
Generative Approach of Computer-Aided Process Planning is NOT based on (i) part coding using Group Technology (ii) part feature recognition and extraction (iii) database of standard process plans for
A manufacturing company must select a process for its new product, VS-5, from among two alternatives. The following cost data have been gathered. Cost Process X Process Y Fixed Rs. 10,000 Rs. 40,000 V
The diameter of a shaft must be within a tolerance of 0.02 of the nominal diameter. Which control chart is useful to determine that the process is in statistical control?
The processing times and the due dates of 4 independent jobs processed by a single machine in a shop are given in the table. Job Processing time (days) Due date (in days) 1 4 6 2 7 9 3 2 18 4 8 15 The
A machine has been purchased for Rs. 100,000 and its useful life is estimated to be 10 years. Its scrap value at the end of 10 years is estimated as Rs. 20,000. If the depreciation is determined using
In a single-server queuing system, arrivals are Poisson distributed with a mean of 16 per hour and the exponential service time is 3 minutes per person on average. What would be the expected number of
Two systems, P and Q, contain 3 components each. Reliability of the components is measured for 1000 hours operations and time-to-failure distributions for all the components are found to be exponentia
In an arc welding operation, carried out with a power source maintained at 40 volts and 400 amperes, the consumable electrode melts and just fills the gap between the metal plates to be butt-welded. T
Find the correct combination of manufacturing processes to produce the part, shown in figure, from a blank (holes shown are with square and circular cross-sections).
The alignment test “Spindle square with the base plate” is applied to the radial drilling machine. A dial indicator is fixed to the cylindrical spindle and the spindle is rotated to make t
A spindle speed of 300 rpm and a feed of 0.3 mm/revolution are chosen for longitudinal turning operation on an engine lathe. In finishing pass, roughness on the work surface can be reduced by
Chills are used in casting moulds to
Brazing and Soldering are
A hard ceramic marble, having a density (ρ) of 3000 kg/m 3 and a diameter of 0.025 m; is dropped accidentally from a static weather balloon at a height of 1 km above the roof of greenhouse. The fl
Each axis of NC machine is driven by a stepper motor drive with a lead screw. The pitch of lead screw is p mm. The step angle of stepper motor per pulse input is α degrees/pulse. The ratio of ge
A 80 mm thick steel plate with 400 mm width is rolled to 40 mm thickness in 4 passes with equal reduction in each pass, by using rolls of 800 mm diameter. Assuming the plane-strain deformation, what i
A moving mandrel is used in
Match the following: Group I (Mechanism) Group II (Machines) P. Quick return 1 Lathe Q. Apron 2 Shaping R. Intermittent indexing 3 Gear hobbing S. Differential mechanism 4 Milling
In an open loop, a point-to-point controlled CNC drilling machine, a stepper motor, producing 200 angular steps per revolution, drives the table of a drilling machine by one angular step per pulse gen
A CNC instruction G91G01X30Y40F100 commands the movement of tool along the path at a feed rate of 100 mm/min (G91-incrememtal format and G01-linear interpolation). The feed rate of the tool (in mm/min
In an open die forging, a circular disc is gradually compressed between two flat platens. The exponential decay of normal stress on the flat face of the disc, from the centre of the disc towards its p
Reaming is a process used for
An HSS drill of 20 mm diameter with 5 mm cone height is used to drill a through hole in a steel work-piece of 50 mm thickness. Cutting speed of 10 m/min and feed rate of 0.3 mm/rev are used. The drill
Which one of the following methods is NOT used for producing metal powders?
For a given volume of a riser, if the solidification time of the molten metal in the riser needs to be quadrupled, the surface area of the riser should be made