GATE PI format:nat PYQs & Answers — Page 14

Questions 131–140 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 14 of 27

A company procures 384 parts annually. The annual holding cost per part is ₹ 30. If the ordering cost is ₹ 1000, then the economic order quantity is____________. [in integer]

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A time study engineer recorded the cycle time (in minute) for machining of a component. The recorded time study data is provided in the table. The performance rating of the worker is 110%. The standard time for machining (in minute) the component by assuming 10% allowance is____________. [round off to nearest integer]

Time study data

Cycle time (minute) | Frequency 42 | 1 43 | 2 44 | 3 45 | 2 46 | 1

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A machine component is to be processed at 5 workstations sequentially. The table provides the cycle time (in second) of each workstation. In mass production, the number of components produced per hour (in steady state) is____________. [in integer]

Workstation | Cycle time of each workstation (second) WS-1 | 85 WS-2 | 55 WS-3 | 90 WS-4 | 65 WS-5 | 70

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A vaccine has to be distributed from two warehouses to three hospitals. The supplies at warehouses W₁ and W₂ are 200 and 150, respectively. The demands at hospitals H₁, H₂, and H₃ are 100, 150 and 125, respectively. The transportation cost (in ₹) per vaccine is as follows:

| | H₁ | H₂ | H₃ | | W₁ | 5 | 7 | 3 | | W₂ | 4 | 6 | 7 |

The initial basic feasible solution using the Northwest-corner method provides the total transportation cost (in ₹) as____________. [round off to nearest integer]

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Consider the linear programming problem:

Maximize

subject to

(C₁)

(C₂)

(C₃)

The optimal solution is given as

and

. The dual variables of constraints C₁, C₂ and C₃ are

and

, respectively. The optimal values of dual variables are

and

. The value of parameter P in the objective function is____________. [round off to one decimal place]

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A company is planning to produce 24 electric cars per day. The setup cost of the plant is estimated as ₹ 1476 million and the variable cost is ₹ 0.6 million per car. The car will be sold at a price of ₹ 1.5 million. The number of days required for achieving the breakeven is____________. [round off to nearest integer]

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A company forecasts the weekly demand of oxygen cylinders using exponential smoothing method with smoothing constant

. The actual demands in Week 1, Week 2, Week 3 and Week 4 were 375, 412, 592 and 439 units, respectively. The forecasted demand for Week 3 was 500 units. The forecast (in unit) for the Week 5 is____________. [in integer]

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A given steel has identical yield strength of 700 MPa in uni-axial tension and uni-axial compression. If the steel is subjected to pure shear stress such that the three principal stresses are

with

, then the stress

in MPa for the initiation of plastic yielding in the steel as per von Mises yield criterion is ____________. [round off to 2 decimal places]

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A cylindrical mild steel tensile test specimen of gauge length 50 mm and diameter 10 mm is extended in two stages at a deformation speed of 4 mm/min. The specimen is extended from 50 mm to 55 mm in the first stage, and from 55 mm to 60 mm in the second stage. Neglecting elastic deformation, the total longitudinal true strain is ____________. [round off to 2 decimal places]

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A M30 bolt needs to be subjected to pretension

kN. If the torque coefficient

for the bolt is 0.2, then the torque in Nm needed to achieve this pretension is ____________. [in integer]

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GATE PI format:nat PYQs

Question 59

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Question 61

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Question 64

Question 65

Question 18

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Question 20