Production and Industrial Engineering
GATE PI branch:pi PYQs
Build your understanding with focused practice from past exam papers.
Questions 291–300 of 650. Imported answers require independent review unless marked reviewed.
Question 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]
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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]
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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]
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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]
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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]
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Open questionPIMCQ2 marksNeeds review
If a matrix is squared, then
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
Consider the following ordinary differential equation:
Given that
and
are constants, the general solution of the differential equation isYour answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
A market survey with a sample size of 1000 was conducted for a parameter that follows normal distribution. The confidence interval was estimated as [500, 700] with a mean of 600. It is now desired to reduce the confidence interval to [550, 650]. The sample size for achieving the desired interval at the same confidence level is
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
A eutectoid steel with 100% austenite is cooled from a temperature of 750 °C to a room temperature of 35 °C. Match the cooling methods with transformed structures.
Cooling method | Transformed structure |
|---|---|
P — Water quenching | 1 — Coarse pearlite |
Q — Oil quenching | 2 — Fine pearlite |
R — Air cooling | 3 — Martensite |
S — Furnace cooling | 4 — Very fine pearlite |
Your answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
In the three-member truss shown in the figure, AC = BC. An external force of 10 kN is applied at B, parallel to AC. The force in the member BC is
Your answerChoose one option.
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