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QUESTION: 1

**Q. 1 – Q. 5 carry one mark each.**

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.

Solution:

QUESTION: 2

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.

Solution:

QUESTION: 3

Which of the following options is the closest in meaning to the sentence below?

“As a woman, I have no country.”

Solution:

*Answer can only contain numeric values

QUESTION: 4

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 ____ years.

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 5

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?

Solution:

QUESTION: 6

**Q. 6 – Q. 10 carry two marks each.**

Q. 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?

Statements

1. Shiv is younger to Riaz.

2. Shiv is elder to Som.

Solution:

QUESTION: 7

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-first century is to miss a crucial point. As mentioned earlier, the obsession with exactness is an artefact of the information-deprived analog era. When data was sparse, every data point was critical, and thus great care was taken to avoid letting any point bias the analysis.

*From “BIG DATA” Viktor Mayer-Schonberger and Kenneth Cukier*

The ** main** point of the paragraph is:

Solution:

QUESTION: 8

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 exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram?

Solution:

QUESTION: 9

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?

Solution:

*Answer can only contain numeric values

QUESTION: 10

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 time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is _______

Solution:

QUESTION: 11

**Q. 11 – Q. 35 carry one mark each.**

The system of equations, given below, has

x+2y+4z=2

4x+3y+z=5

3x+2y+3z=1

Solution:

QUESTION: 12

Directional derivative of φ = 2xz − y^{2} , at the point (1, 3, 2), becomes maximum in the direction of

Solution:

*Answer can only contain numeric values

QUESTION: 13

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 value of Biot number is ______

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 14

A quantitative measure of maintainability is

Solution:

QUESTION: 15

Which one of the following techniques is used to analyze the cause and effect of product failure?

Solution:

QUESTION: 16

As the product passes through different stages of product life cycle, the product variety

Solution:

*Answer can only contain numeric values

QUESTION: 17

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 the declining balance method, the value of depreciation (in Rs.) during the first year is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 18

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 the estimated value is within 0.03 of the true proportion, the number of observations required in the study should be _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 19

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 _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 20

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12, respectively. The standard error of mean is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 21

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?

Solution:

QUESTION: 22

Which one of the following is not a characteristic of JIT manufacturing system?

Solution:

QUESTION: 23

Relationship between Young’s Modulus (E), Shear Modulus (G), and Poisson’s Ratio (μ), for a material obeying the Hooke’s Law, is

Solution:

QUESTION: 24

For a metal alloy, which one of the following descriptions relates to the stress-relief annealing process?

Solution:

QUESTION: 25

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 part families

(iv) geometric modelling of part

Solution:

QUESTION: 26

Which one of the following methods is NOT used for producing metal powders?

Solution:

QUESTION: 27

In an open loop, 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 each pulse generated by a pulse generator (shown in figure). Each angular step moves the table by one Basic Length Unit (BLU) along X axis with a lead screw having a pitch of 4 mm. If the frequency of pulse generator is doubled, the BLU will

Solution:

QUESTION: 28

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

Solution:

QUESTION: 29

Chills are used in casting moulds to

Solution:

QUESTION: 30

A moving mandrel is used in

Solution:

QUESTION: 31

Brazing and Soldering are

Solution:

QUESTION: 32

Match the following:

Solution:

QUESTION: 33

Reaming is a process used for

Solution:

QUESTION: 34

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).

Solution:

QUESTION: 35

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 center of the disc towards its periphery, indicates that

Solution:

QUESTION: 36

**Q. 36 – Q. 65 carry two marks each.**

Solution:

*Answer can only contain numeric values

QUESTION: 37

Using the Simpson’s 1/3rd rule, the value of computed, for the data given below, is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 38

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 _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 39

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 ______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 40

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}. If the final volume of gas becomes doubled, then the work done by the gas, in kJ, is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 41

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 40°C, while that of Bar Q is at 10°C.

The junction temperature (in °C) for steady state heat flow is _______

(**Important **- Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 42

A metallic sphere of 1 kg mass, with surface area of 0.0314 m^{2}, is maintained at an initial temperature of 50°C. The fluid circulating around the sphere is maintained at a temperature of 10°C. Specific heat of metallic sphere is 314 J/kg-K and the heat transfer coefficient between the fluid and the sphere is 10 W/m^{2}-K. The time taken (in seconds) for the sphere to cool down to 20°C is ________

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 43

An element, shown below, is subjected to stresses: σ_{x} = 5 kN/mm^{2}, σ_{y} = 3 kN/mm^{2} and τ = 1 kN/mm^{2}. The magnitudes and direction of principal stresses σ_{1}, σ_{2} (in kN/mm^{2}) and φ (in degrees) are

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 44

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 gear drive in stepper motor drive is g (number of turns of the motor for each single turn of the lead screw). The number of pulses required to achieve a linear movement of x mm is

Solution:

QUESTION: 45

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?

Solution:

*Answer can only contain numeric values

QUESTION: 46

A CNC instruction G91G01X30Y40F100 commands the movement of tool along the path at a feed rate of 100 mm/min (G91- incremental format and G01- linear interpolation). The feed rate of the tool (in mm/min) along the X axis will be _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 47

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 volume fraction, the volume fraction of the fibres will be _______

(**Important **- Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 48

The processing times and the due dates of 4 independent jobs processed by a single machine in a shop are given in the table.

The average lateness of the jobs (in days) following the Shortest Processing Time (SPT) rule is _______

(**Important **- Enter only the numerical value in the answer)

Solution:

QUESTION: 49

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 presently is 800 units per order. Assume that there are no other costs. Which one of the following observations is CORRECT?

Solution:

QUESTION: 50

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 the average. What would be the expected number of persons in the queue (Lq) for the queue disciplines of First-come-first-serve (FCFS) and Last-come-first serve (LCFS)?

Solution:

*Answer can only contain numeric values

QUESTION: 51

A project consisting of five activities needs crashing. The details of crashing that was carried out are given in the table.

If the overhead cost of the project is Rs. 200 per day, then the net change in project cost (in Rs.) because of crashing is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 52

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 exponential. System P components are connected in a series parallel structure with each component having a reliability of 0.8. System Q components, on the other hand, are connected in series with each component having a reliability of 0.9. See the configuration of the systems below.

The reliabilities of System P and System Q will be respectively

Solution:

QUESTION: 53

Marks obtained by 100 students in an examination are given in the table.

What would be the mean, median, and mode of the marks obtained by the students?

Solution:

QUESTION: 54

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 make a loss on that day is only 10%. If the fair has not made a loss on a given day in the rainy season, what is the probability that it has not rained on that day?

Solution:

QUESTION: 55

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} ≤ 60;

2x_{1} + x_{2} ≤ 30;

x_{1} – x_{2} ≥ – 10;

x_{1} ≥ 0; x_{2} ≥ 0

Solution:

QUESTION: 56

A manufacturing company must select a process for its new product, VS-5, from among two alternatives. The following cost data have been gathered.

If the objective is to select a process with the least total cost for a given demand, which one of the following is the most appropriate choice?

Solution:

*Answer can only contain numeric values

QUESTION: 57

The following data refers to a manufacturing plant.

Assuming the previous year to be the base year, the labor productivity index for this plant is _______

(**Important **- Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 58

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.

If the permissible allowance is 15%, then the standard time (in minutes) is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 59

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 Limit (UCL) and the Lower Control Limit (LCL) be set for this control chart?

Solution:

QUESTION: 60

For a given volume of a riser, if the solidification time of the molten metal in riser needs to be quadrupled, the surface area of the riser should be made

Solution:

QUESTION: 61

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 is the minimum coefficient of friction required for unaided rolling to be possible?

Solution:

*Answer can only contain numeric values

QUESTION: 62

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. The heat transfer efficiency for the process is 0.8, melting efficiency is 0.3 and the heat required to melt the electrode is 20 J/mm^{3}. If the travel speed of the electrode is 4 mm/s, the cross-sectional area, in mm^{2}, of the weld joint is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 63

A hard ceramic marble, having density (ρ) of 3000 kg/m^{3} and diameter (d) of 0.025 m, is dropped accidentally from a static weather balloon at a height of 1 km above the roof of a greenhouse. The flow stress of roof material (σ) is 2.5 GPa. The marble hits and creates an indentation on the roof. Assume that the principle of creation of indentation is the same as that in case of abrasive jet machining (AJM). The acceleration due to gravity (g) is 10 m/s^{2}. If V is the velocity, in m/s, of the marble at the time it hits the greenhouse, the indentation depth , in mm, is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

*Answer can only contain numeric values

QUESTION: 64

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 drilling time, in seconds, neglecting the approach and over travel, is _______

(**Important** - Enter only the numerical value in the answer)

Solution:

QUESTION: 65

The alignment test “Spindle square with 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 the indicator touch

the base plate at different points. This test inspects whether the

Solution:

### Production, Industrial Engineering

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