Production And Industrial Engineering - PI 2015 GATE Paper (Practice Test) - GATE

Tanya is older than Eric.

Cliff is older than Tanya.

Eric is older than Cliff.

If the first two statements are true, then the third statement is 

Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches.

Q 6  - Q 10 carry one mark.

Select the appropriate option in place of underlined part of the sentence.

"Increased productivity necessary" reflects greater efforts made by the employees.

Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.

Statements:

1. No Manager is a leader.

2. All leaders are executives.

Conclusions:

1. No manager is an executive.

2. No executive is a manager.

In the given figure angle Q is a right angle, PS:QS = 3:1, RT:QT = 5:2 and PU:UR = 1:1. If area of triangle QTS is 20 cm^2, then the area of triangle PQR in cm² is _______

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

Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and line PR is parallel to x-axis. The x and y coordinates of P,Q and R are to be integers that satisfy the inequalities :

-4 < x< 5 and 6 < y < 16. How many different triangles could be constructed with these properties?

A coin is tossed thrice. Let X be the event that head occurs in each of the two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

Q. 11 – Q. 35 carry one mark each.
Q. In numerical integration using Simpson’s rule, the approximating function in the interval is a

If a constant force applied on an object P, displaces it by a distance , inclined at an angle θ to the direction of force, then the work done by the force is

A product is an assembly of 5 different components. The product can be sequentially assembled in two possible ways. If the 5 components are placed in a box and these are drawn at random from the box, then the probability of getting a correct sequence is

The function  times, is defined 

The room-temperature stress (σ)-strain (ε) curves of four materials P, Q, R, and S are shown in the figure below. The material that behaves as a rigid perfectly plastic material is

The true stress at fracture of a tensile tested specimen, having an initial diameter of 13 mm, is 700 MPa. If the diameter of specimen at fracture is 10 mm, then the engineering stress, in MPa, at fracture is _________________.

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

If the principal stress values are 120 MPa, – 50 MPa and 10 MPa in a given state of stress, then maximum shear stress in the material, in MPa, is ___________________.

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

Match the items in the first column to their functions in the second column

In rolling of a flat strip, the relative velocity of strip with respect to the roller is

The maximum reduction per pass during wire drawing of an aluminum alloy ignoring friction and redundant work is 77%. The strain hardening exponent of the material is ____________.

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

Built-up edge formation decreases under the conditions listed below EXCEPT

During turning of mild steel work material, the maximum temperature is observed at

Which one of the following statements related to grinding process is INCORRECT?

For an assembly made of n components, the dimensions on each component i follow a normal distribution and have tolerance T_i. Overall dimension of the assembly is L_a with tolerance T_a. The relationship between T_a and T_i is

Which of the following DO NOT influence the material removal rate in Electrical Discharge Machining process?

(i) Hardness of work piece material

(ii) Melting temperature of work piece material

(iii)Hardness of tool material

(iv) Discharge current and frequency

In Computer Aided Process Planning, determination of process sequence for manufacture of any part design without predefined standard plans is known as

The angle of a twist drill that determines its rake angle is

A line balancing problem is solved in the context of

Solution to the balanced assignment problem is binary due to

Material Requirements Planning DOES NOT include

Ishikawa diagram represents

As per the principles of motion economy, which one of the following is NOT a pivot for a classified movement of human body?

For air travel over a distance of 500 km, the ticket price is Rs. 4000. The comfort of the air travel can be monetized at Rs.3000, and the monetary value of time saved because of air travel is Rs.3000. The value of air travel is ____________.

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

Which one of the following is NOT in the scope of Enterprise Resource Planning (ERP) system?

If standard production is 20 units, a worker’s actual output is 18 units, piece rate is Rs. 500 per unit, and over-achievement rate is Rs. 750 per unit, then the wage paid to the worker, in Rs., as per Taylor’s differential price rate wage incentive plan, is ______________.

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

Q. 36 – Q. 65 carry two marks each.

Q. The solution to  represents a

The solution to  is

Match the linear transformation matrices listed in the first column to their interpretations in the second column

The value of  is

The curve y = x⁴ is

A metallic bar of uniform cross-section with specific weight of 100 kN/m³ is hung vertically down. The length and Young’s modulus of the bar are 100 m and 200 GPa, respectively. The elongation of the bar, in mm, due to its own weight is ____________.

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

A beam is loaded as shown in the figure.

The bending moment, in Nm, at point R is __________.

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

In an off-set slider crank mechanism, shown in figure, the crank is rotated at a constant speed of 150 rpm. The value of the angle θ shown in the figure is 20⁰. What is the ratio of forward to return stroke time? Can this mechanism be used in an application involving quick return?

In a 1 m thick wall, the temperature distribution at a given instant is T(x) = c₀ + c₁x + c₂x² where T is in ^oC and x is in m. The constants are: c₀ = 800 ^oC, c₁ = –250 ^oC/m and c₂ = –40 ^oC/m². The thermal conductivity of the wall is 50 W/mK and wall area is 5 m². If there is a heat source generating uniform volumetric heating at the rate of 500 W/m³ inside the wall, then the rate of change of energy storage in the wall, in kW, is ________.

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

In a vertical piston-cylinder arrangement the force applied to the piston, pushes water through a nozzle as shown in the figure. The water flows out from the nozzle, and reaches the top of its trajectory. The kinetic and pressure energies at points (1), (2) and (3), respectively, are

Consider a glass-fiber reinforced polymer material. The stress-strain curves of the fiber, matrix and composite are plotted in the figure. Which one of the following statements is TRUE?

A mould for injection moulding is designed for polymer P having shrinkage of 0.010 mm/mm. A critical dimension needed in the moulded part is 35 mm. If the same mould is now used to make a similar part but made of a different polymer Q with shrinkage of 0.025 mm/mm, then the critical dimension in the moulded part made of polymer Q, in mm, is _____________.

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

Open die forging of a cylinder made of a rigid perfectly plastic material with yield strength of 200 MPa having a height of 25 mm and diameter of 25 mm is being carried out. The cylinder is subjected to a true compressive strain of 3.6 during the process. Assuming frictionless and homogeneous deformation, the energy expended, in kJ, is _____________________.

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

In drilling operation, a twist-drill of 30 mm diameter with point angle of 118 degrees is used. If the CNC command issued to execute the drilling operation is G90 G01 Z?? F20. The datum is defined on the top surface of the work material and the approach distance is 3 mm. Then, to achieve a cylindrical hole depth of 40 mm, the Z coordinate to be provided in the CNC command, in mm, is ________________.

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

In an orthogonal machining experiment carried out using a cutting tool with zero degree rake angle, the measured cutting force was 1700 N. If the friction angle at the rake face-chip interface is 26o, then the thrust force value, in N, is _________________.

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

In a slab milling operation, a cutter of 75 mm diameter with sufficient width is used to remove 5 mm thick material from a 200 mm long part in a single pass. The minimum length of travel, in mm, for the cutter to engage and completely cut the part surface is ___________.

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

In a metal casting process, molten copper alloy is poured into a sand mould. The level of molten metal in the pouring basin is at a height of 300 mm from the runner having diameter of 10 mm. If the density and melting temperature of molten copper alloy are 9000 kg/m³ and 1000^oC, respectively, then the rate of flow of molten metal into the mould neglecting friction and other losses, in cm³/s, is ____________________.

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

Two aluminum alloy plates each 10 mm thick and 1 m long are welded without crowning by multi-pass tungsten inert gas butt welding. The joint configuration is V-type with 60º angle and root gap is maintained at 5 mm. If electrode of 5 mm diameter with 500 mm length is used for welding, then the number of electrodes required is

A surface is prepared specially for an application with the profile as shown in the figure.

The theoretical R_a value for this surface, in μm, is

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

During the measurement of internal taper of a part using standard balls of diameter 15 mm and 20 mm, the large ball is found to protrude by 5 mm (h₁) and the top of small ball is found to be 35 mm (h₂) below the top face of the gauge. The taper angle, in degree, is ________

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

In a Flexible Manufacturing System, the Automated Guided Vehicles (AGV) move at a speed of 50 m/min, cover an average distance of 150 m to deliver and 100 m for return. If the time required for pick-up and drop is 30 s each, neglecting idle times, then the number of AGVs required to meet the demand of 50 deliveries per hour is ______________.

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

A machine is bought for Rs. 25,00,000. The organization follows a declining balance method of depreciation with a depreciation charge of 25%. If the machine is sold at Rs.17,50,000 at the end of second year, then the profit on the book, in Rs., is ________________.

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

A manufacturing line requires 7.2 minutes to make a product. The line has six workstations arranged as per the required sequence of operations. Total production required is 300 products in 7.5 hours. At steady state, the line efficiency, in %, is ____________.

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

A single facility is to be located to meet the demand at coordinates (1, 2), (2, 3), (3, 5) and (4, 1). The demand at these points is 700, 100, 300 and 500 respectively. Using the rectilinear distance measure and weighted distance minimization criterion, the facility should be located

The value of (X₁ , X₂) for an optimal solution for

is.

Arrival of machines for repair in a maintenance shop follows a Poisson distribution at a rate of one per 18 hours. The time to repair follows an exponential distribution with Mean Time To Repair (MTTR) of 14 hours. If the productivity loss is Rs.22,500 per hour, then the total expected loss of productivity due to machine breakdowns, in Rs., is

In a manufacturing process, 24 samples each of size 50 items were inspected and a total of 52 defective items were observed. The lower and upper control limits set for the p-chart should, respectively, be

Data on five products to be processed on a single machine is given below:

For the processing sequence R – P – S – T – Q, total tardiness is ____________.

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

In a time study experiment, observed time is 15 minutes, operator rating is 90, personal need allowance is 4%, fatigue allowance is 3%, contingency allowance for work is 3% and contingency allowance for delay is 2%. The total work content, in minutes, is __________________.

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

There are three alternatives to meet the demand of a product.

Alternative I: Manufacture using a process P

Alternative II: Manufacture using a process Q

Alternative III: Buy the product from a vendor

The costs associated with each alternative is given below:

Alternative I is cheaper compared to Alternative II when the demand is