GATE PI year:2017 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Schematic diagram of pouring basin and sprue of a gating system is shown in the Figure.

Diagram for Production and Industrial Engineering question 51

Depth of molten metal in the pouring basin is 100 mm and the height of the sprue is 1,500 mm. Considering the cross-section of the sprue is circular, the ratio

to avoid aspiration is

Your answerChoose one option.

3:2

5:6

15:16

1:2

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In a numerical control (NC) machine positioning system, the measures of precision are expressed by considering a single axis as shown in the Figure.

Diagram for Production and Industrial Engineering question 52

is standard deviation of the error distribution, then

and

are

Your answerChoose one option.

= Accuracy,

= Repeatability,

= Control resolution

= Repeatability,

= Accuracy,

= Control resolution

= Control resolution,

= Repeatability,

= Accuracy

= Accuracy,

= Control resolution,

= Repeatability

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In a machining operation with turning tool, the tool life (

) is related to cutting speed

(m/s), feed

(mm) and depth of cut

(mm) as

where, C is a constant. The suggested values for the cutting parameters are:

= 1.5 m/s,

= 0.25 mm and

= 3 mm for normal rough turning. If the operation is performed at twice the cutting speed and the other parameters remain unchanged, the corresponding percentage change in tool life is __________.

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The annual demand of wrist watches produced on an assembly line is 1,03,125 units. The line operates 50 weeks/year, 5 shifts/week and 7.5 hours/shift. The uptime efficiency of the line is 99%. The cycle time (

) of the assembly line (in minutes/unit) is __________ (up to two decimal places).

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In a gear manufacturing company, three orders P, Q and R are to be processed on a hobbing machine. The orders were received in the sequence P – Q – R. The Table indicates the process time remaining and production calendar due date for each order.

Order	Process Time Remaining (day)	Due date
P	4	Day 20
Q	16	Day 30
R	6	Day 19

Considering today as the Day 10 in the production calendar of the Hobbing Shop, the sequence of the orders scheduled using the ‘Critical Ratio’ rule is

Your answerChoose one option.

P – Q – R

P – R – Q

Q – P – R

Q – R – P

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She has a sharp tongue and it can occasionally turn __________.

Your answerChoose one option.

hurtful

left

methodical

vital

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I __________ made arrangements had I __________ informed earlier.

Your answerChoose one option.

could have, been

would have, being

had, have

had been, been

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In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases by 20% while other consumption increases by 70%.

Which of the following statements is correct?

Your answerChoose one option.

The ratio of household to other consumption is 8/17

The ratio of household to other consumption is 1/17

The ratio of household to other consumption is 17/8

There are errors in the official’s statement.

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40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is

Your answerChoose one option.

120

144

160

212

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Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?

i. At least one bench is a table ii. At least one shelf is a bench iii. At least one chair is a table iv. All benches are chairs

Your answerChoose one option.

Only i

Only ii

Only ii and iii

Only iv

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GATE PI year:2017 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60