Production and Industrial Engineering
GATE PI format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 111–120 of 264. Imported answers require independent review unless marked reviewed.
Question 30
Open questionPINAT1 markNeeds review
It is required to cut a single-start thread of 2 mm pitch in a lathe machine with a single-start lead screw of 4 mm pitch. For one revolution of the workpiece, the number of revolution of the lead screw is____________. [round off to two decimal places]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 31
Open questionPINAT1 markNeeds review
The absolute deviations of 8 points from the datum line of a surface are 10, 15, 12, 10, 13, 12, 20 and 25 μm. The root mean square value of the surface roughness (in μm) is____________. [round off to one decimal place]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 32
Open questionPINAT1 markNeeds review
In a machine there are two motors, but only one motor is needed for the functioning of the machine. The reliabilities of the motors are 0.90 and 0.70. The overall reliability of the machine is____________. [round off to two decimal places]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 33
Open questionPINAT1 markNeeds review
If the interarrival time is exponential and 8 customers per hour arrive in a bank, then the probability of no arrival of customer during a period of 15 minutes is____________. [round off to two decimal places]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 34
Open questionPINAT1 markNeeds review
A company buys a machine worth ₹ 6500, which has a salvage value of ₹ 500. The annual depreciation cost is ₹ 1000 based on the straight line depreciation method. The useful life (in year) of the machine is____________. [in integer]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 35
Open questionPINAT1 markNeeds review
A project comprises of seven activities. The expected durations of activities and their variances are as follows:
Activity | Expected duration (minute) | Variance (minute) |
|---|---|---|
A | 4 | 1 |
B | 5 | 1 |
C | 4 | 1 |
D | 1 | 0 |
E | 7 | 4 |
F | 6 | 1 |
G | 8 | 4 |
The critical path consists of activities B, E and G. The standard deviation (in minute) of the project duration is____________. [round off to two decimal places]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
Open questionPINAT2 marksNeeds review
The value of
is ____________. [round off to one decimal place]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
Open questionPINAT2 marksNeeds review
A thick-cylinder has inner diameter of 20 mm and outer diameter of 40 mm. It is subjected to an internal pressure of 100 MPa. Follow the convention of taking tensile stress as positive and compressive stress as negative. The sum of radial and hoop stresses (in MPa) at a radius of 15 mm is____________. [round off to two decimal places]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 47
Open questionPINAT2 marksNeeds review
A shaft is used to transmit a power of 10 kW. The shear yield stress of the material is 150 MPa and factor of safety is 2. The shaft rotates at 1440 revolutions per minute. The diameter of the shaft (in mm) based on static strength is____________. [round off to two decimal places]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 48
Open questionPINAT2 marksNeeds review
Air at an initial temperature and pressure of 15 °C and 1 bar, respectively is heated in an irreversible process. The final temperature and pressure are 303 °C and 2 bar, respectively. Take gas constant for air as R = 287 J/kg-K, the ratio of the specific heats as γ = 1.4, and treat air as a calorically perfect gas. The change of entropy (in J/kg-K) in the process is____________. [round off to nearest integer]
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer