Numerical Computation and Estimation - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 __________.

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2

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 __________.

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3

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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

A

positive at entry plane, negative at exit plane

B

negative at entry plane, positive at exit plane

C

positive throughout from entry to exit plane

D

negative throughout from entry to exit plane

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4

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 __________.

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5

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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

A

at low cutting speeds

B

using large positive rake angle

C

with sharper tool

D

using cutting fluid

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6

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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

A

primary deformation zone

B

tool and chip interface

C

tool-flank and work interface

D

machined sub-surface

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7

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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

A

Grinding wheels made of finer abrasive grains produce better surface finish.

B

Abrasive grains tend to fracture frequently during the grinding process.

C

Specific energy in grinding is higher than that in turning.

D

Cutting speed in grinding process is much lower than that in face milling.

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8

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

Solution to the balanced assignment problem is binary due to

A

linear formulation

B

non-empty feasible region

C

approximation algorithms

D

uni-modularity property

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9

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

Material Requirements Planning DOES NOT include

A

material price

B

bill of material

C

inventory level

D

production schedule

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10

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 __________.

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11

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

A beam is loaded as shown in the figure. The bending moment, in Nm, at point R is ______________.

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12

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 \( \theta \) shown in the figure is \( 20^\circ \). What is the ratio of forward to return stroke time? Can this mechanism be used in an application involving quick return?

A

3.33, No

B

0.73, Yes

C

1.25, Yes

D

0.73, No

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13

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

In a 1 m thick wall, the temperature distribution at a given instant is \( T(x) = c_0 + c_1x + c_2x^2 \) where \( T \) is in \( ^\circ C \) and \( x \) is in m. The constants are: \( c_0 = 800 \ ^\circ C \), \( c_1 = -250 \ ^\circ C/m \) and \( c_2 = -40 \ ^\circ C/m^2 \). The thermal conductivity of the wall is \( 50 \ W/mK \) and wall area is \( 5 \ m^2 \). If there is a heat source generating uniform volumetric heating at the rate of \( 500 \ W/m^3 \) inside the wall, then the rate of change of energy storage in the wall, in kW, is ______________.

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14

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 _____________.

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15

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 _____________.

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16

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 26°, then the thrust force value, in N, is ____________________.

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17

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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°C, respectively, then the rate of flow of molten metal into the mould neglecting friction and other losses, in cm³/s, is ____________________.

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18

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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 60° 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

7

B

9

C

11

D

13

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19

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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

A

anywhere on the line joining points (2, 2) and (3, 2)

B

at the point (2, 3)

C

anywhere on the line joining (2, 3) and (3, 3)

D

at the point (3, 3)

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20

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Production & Industrial Engineering (PI) 2015

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:

Cost	Alternative I	Alternative II	Alternative III
Fixed cost	Rs. 100,000	Rs. 190,000
Variable cost (per unit)	Rs. 75	Rs. 60
Purchase price (per unit)			Rs. 87.50

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

A

8500

B

above 8000

C

6500

D

below 6000

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