GATE PI format:mcq PYQs & Answers — Page 17

Questions 161–170 of 367. Imported answers require independent review unless marked reviewed.

If a matrix is squared, then

Your answerChoose one option.

both eigenvalues and eigenvectors must change

both eigenvalues and eigenvectors are retained

eigenvalues get squared but eigenvectors are retained

eigenvalues are retained but eigenvectors change

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Consider the following ordinary differential equation:

Given that

and

are constants, the general solution of the differential equation is

Your answerChoose one option.

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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.

1000

4000

9000

16000

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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.

P-1, Q-2, R-3, S-4

P-2, Q-3, R-4, S-1

P-3, Q-4, R-2, S-1

P-3, Q-4, R-1, S-2

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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

Diagram for Production and Industrial Engineering question 40

Your answerChoose one option.

zero

10 kN (tensile)

10 kN (compressive)

7.07 kN (tensile)

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Match the processing steps related to production of powder metallurgy parts with their descriptions.

Processing step	Description
P — Atomization	1 — Blend powders are pressed into shapes using dies and pressure
Q — Sintering	2 — A process for producing metal powder
R — Compaction	3 — Metal powders are heated below their melting points to allow bonding
S — Infiltration	4 — A slug of low melting point metal is placed in contact with the sintered part and heated
	5 — Metal powders are heated significantly above their melting points for bonding

Your answerChoose one option.

P-1, Q-5, R-2, S-3

P-3, Q-2, R-1, S-5

P-2, Q-3, R-1, S-4

P-2, Q-5, R-1, S-4

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In an assembly comprising shaft and hole, the nominal sizes with tolerances are specified as

Hole: 25.000

mm,

Shaft: 25.000

mm.

The type of fit is

Your answerChoose one option.

Clearance fit

Interference fit

Transition fit

Running fit

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In a manufacturing system, for four different types of products (P, Q, R and S) are produced. The batch size of each product is

. The numbers of defective units are 60, 71, 80 and 55, for P, Q, R and S, respectively. Which one of the following statements is TRUE?

Your answerChoose one option.

All products conform to six sigma standard.

Only product S conforms to six sigma standard.

Except R, all other products conform to six sigma standard.

Products P and S conform to six sigma standard.

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Match the processes of product development with their characteristics.

Process	Characteristic
P — Product synthesis	1 — Process of conversion of conceptual design into engineering science based model
Q — Product simplification	2 — Process related to design conceptualization
R — Product analysis	3 — Process of maintaining uniformity and consistency
S — Product standardization	4 — Process of reducing the number of parts without losing the functionalities

Your answerChoose one option.

P-2, Q-4, R-1, S-3

P-2, Q-3, R-1, S-4

P-4, Q-3, R-1, S-2

P-4, Q-3, R-2, S-1

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The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

Your answerChoose one option.

9,92,500

9,95,006

10,00,000

12,51,506

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GATE PI format:mcq PYQs

Question 36

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Question 1