GATE PI year:2017 PYQs & Answers — Page 5

Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.

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-clock wise
Q. G03	2. End of program
R. M06	3. Tool change
S. M02	4. Linear interpolation

The correct combination of code and the respective function is

Your answerChoose one option.

P – 4, Q – 1, R – 3, S – 2

P – 4, Q – 1, R – 2, S – 3

P – 1, Q – 4, R – 3, S – 2

P – 2, Q – 1, R – 3, S – 4

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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 kg/m

. If input current is 1,000 A and Faraday’s constant is 96,540 Coulombs, then the feed rate (in mm/min) is (up to two decimal places).

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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 observed per laptop is given in the Table.

Laptop number	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
Number of nonconformities	1	3	7	4	10	6	1	5	4	3	6	4	2	7	4	2	9	8	5	2

Based on the data, the upper control limit for the ‘c’ chart is (up to two decimal places).

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The Merchant circle diagram showing values forces associated with a cutting process using a wedge-shaped tool is given in the Figure.

Diagram for Production and Industrial Engineering question 44

The coefficient of friction can be estimated from the ratio

Your answerChoose one option.

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An air conditioner unit is expected to run continuously. The mean time between failures (MTBF) for this unit is 2,000 hours and the mean time to repair (MTR) is 48 hours. The availability of the air conditioning unit is (up to three decimal places).

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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 mean is 41 pF and the estimated standard deviation is 3 pF, then the process capability index

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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 width of the strip during rolling. In order to achieve 10% reduction in cross-sectional area of the strip after rolling, the angle subtended (in degrees) by the deformation zone at the center of the roll is

Your answerChoose one option.

1.84

3.14

6.84

8.23

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An electron beam welding process uses 15 mA beam current at an accelerating voltage of 150 kV. The energy released per second by the beam (in J) is (up to one decimal place). (1 Ampere = 6.28 × 10

electrons per second, 1 eV = 1.6 × 10

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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 is given in the Table.

Jobs / Machines	M₁	M₂	M₃	M₄
J₁	15	13	14	17
J₂	11	12	15	13
J₃	13	12	10	11
J₄	15	17	14	16

In order to ensure that the total time required to complete all the jobs is minimum, the optimal assignment of the job is

Your answerChoose one option.

J₁⇒M₄, J₂⇒M₂, J₃⇒M₃, J₄⇒M₁

J₁⇒M₂, J₂⇒M₁, J₃⇒M₄, J₄⇒M₃

J₁⇒M₂, J₂⇒M₁, J₃⇒M₃, J₄⇒M₄

J₁⇒M₄, J₂⇒M₂, J₃⇒M₁, J₄⇒M₃

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A hose coupling manufacturing company has 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 variable cost of production per unit is Rs. 70. If the company wishes to achieve a profit of Rs. 20,000 during the calendar year, then the minimum quantity to be produced is

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GATE PI year:2017 PYQs

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50