GATE PI format:nat PYQs & Answers — Page 26

Questions 251–260 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 26 of 27

A manometer is used for the pressure measurement in a closed tank. The three fluids f1, f2 and f3 have specific weights

and

, respectively. The schematic arrangement with manometric readings and other dimensions are shown in the Figure. In order to ensure zero gauge pressure in the tank at the mid-height level (

), the height

(in m) is __________

Diagram for Production and Industrial Engineering question 33

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A pipeline with variable cross-section contains water with specific weight

N/m

. The flow conditions at two points 1 and 2 on the axis of the pipe are:

bar,

m/s

bar,

m/s

Consider frictional losses to be negligible. For no-flow condition between points 1 and 2 (as shown in Figure), if the height

from the datum is 1 m, then the height

(in m) is __________ (

m/s

)

Diagram for Production and Industrial Engineering question 34

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A reversible heat engine (E) operating in a cycle interacts with three reservoirs 1, 2 and 3 maintained at temperatures

K and

K, respectively. The engine receives 10 kJ of heat from reservoir 1 and rejects 3 kJ to reservoir 3. The net work output,

(in kJ) from the engine is __________

Diagram for Production and Industrial Engineering question 35

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In a calendar year, the demand forecast of motorbikes for the month of June is 200. The actual demand of motorbikes for the month of June and July are 300 and 350, respectively. If single exponential smoothing method with smoothing constant 0.7 is used, then the demand forecast for the month of August is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

In a project, tasks A, B, C, D, E, F, G, H, I and J are to be performed. The precedence relationships and the time required (in days) to complete the tasks are given in the Table.

Tasks	A	B	C	D	E	F	G	H	I	J
Time (days)	8	10	8	10	16	17	18	14	9	4
Preceding tasks	-	-	-	A	A	B, D	C	C	F, G	E, I, H

The time required (in days) to complete the project along the critical path is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The potential production alternatives for manufacturing a product along with their unit cost and monthly capacity are given in the Table.

S. No.	Production Alternatives	Unit cost (Rs.)	Capacity / month
1	Regular time production	5	300
2	Overtime production	6	200
3	Subcontracting	10	500

The inventory at the end of July is 100 units. If the demand for the month of August is 620, then the minimum total cost (in Rs.) to meet the demand is

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

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

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE PI format:nat PYQs

Question 33

Question 34

Question 35

Question 38

Question 39

Question 40

Question 42

Question 43

Question 45

Question 46